A student named Foofy conducted a survey. In her sample, 83% of mothers employed outside the home would rather be home raising children. She reported that "the statistical analyses prove that most working women would rather be at home." What is the problem with this conclusion? Using everything we've learned in the class so far, how could we fix her report to make it better?

Answers

Answer 1

The problem with Foofy's conclusion is that she drew a general conclusion from a sample without considering potential biases or confounding factors. To make the report better, she could provide more context, acknowledge potential biases, and make it clear that her conclusion only applies to her sample.

The problem with Foofy's conclusion is that it is based on a biased sample. She only surveyed mothers who were employed outside the home, which does not represent all working women. Therefore, her conclusion cannot be generalized to all working women.

To make the report better, Foofy could specify that her conclusion only applies to mothers who are employed outside the home, rather than all working women.

Additionally, she could improve the study's sampling method by randomly selecting a more representative sample of working women, rather than only surveying mothers who are employed outside the home.

To know more about biased sample:

https://brainly.com/question/29257227

#SPJ1


Related Questions

A researcher started tracking the number of mice in the lab.
Which of the following equations models how many mice there will be in the lab after 10 months?
Select one:
m(10) = 3 + 2(10)
m(10) = 2(3)^10
m(10) - 3(10)^2
m(10) = 3(2)^10

Answers

The correct equation that models how many mice there will be in the lab after 10 months is m(10) = 3 × 2^10.

We have,

From the given data, we can see that the number of mice is being multiplied by 2 every month.

That means the growth is exponential.

We can use the formula for exponential growth:

[tex]m(t) = a \timesr^t[/tex]

where m(t) is the total number of mice after t months, a is the initial number of mice (when t = 0), and r is the common ratio

From the given data, we can see that when t = 0, there are 3 mice.

So, a = 3.

Also, we can see that the common ratio is 2 (i.e., the number of mice is being multiplied by 2 every month).

Now,

The equation that models how many mice there will be in the lab after 10 months is:

m(10) = 3 × 2^10

Simplifying this equation gives:

m(10) = 3 × 1024

m(10) = 3072

Therefore,

The correct equation that models how many mice there will be in the lab after 10 months is m(10) = 3 × 2^10.

Learn mroe about exponential growth here:

https://brainly.com/question/12490064

#SPJ1

Please help I need this will give 100 points please help

Answers

The solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:

-∞ < x < 1 or 1 < x < 6 or 6 < x < 2

Solving Inequality in a given domain

Given the inequality,

    f(x²-2) < f(7x-8) over D₁ = (-∞, 2)

We need to find the values of x that satisfy this inequality.

Since we know that f is increasing over its domain, we can compare the values inside the function to determine the values of x that satisfy the inequality.

First, we can find the values of x that make the expressions inside the function equal:

x² - 2 = 7x - 8

Simplifying, we get:

x² - 7x + 6 = 0

Factoring, we get:

(x - 6)(x - 1) = 0

So the values of x that make the expressions inside the function equal are x = 6 and x = 1.

We can use these values to divide the domain (-∞, 2) into three intervals:

-∞ < x < 1, 1 < x < 6, and 6 < x < 2.

We can choose a test point in each interval and evaluate

f(x² - 2) and f(7x - 8) at that point. If f(x² - 2) < f(7x - 8) for that test point, then the inequality holds for that interval. Otherwise, it does not.

Let's choose -1, 3, and 7 as our test points.

When x = -1, we have:

f((-1)² - 2) = f(-1) < f(7(-1) - 8) = f(-15)

Since f is increasing, we know that f(-1) < f(-15), so the inequality holds for -∞ < x < 1.

When x = 3, we have:

f((3)² - 2) = f(7) < f(7(3) - 8) = f(13)

Since f is increasing, we know that f(7) < f(13), so the inequality holds for 1 < x < 6.

When x = 7, we have:

f((7)² - 2) = f(47) < f(7(7) - 8) = f(41)

Since f is increasing, we know that f(47) < f(41), so the inequality holds for 6 < x < 2.

Therefore, the solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:

-∞ < x < 1 or 1 < x < 6 or 6 < x < 2

Learn more about inequality here:

https://brainly.com/question/25944814

#SPJ1

Jolene invests her savings in two bank accounts, one paying 6 percent and the other paying 10 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 8602 dollars. How much did she invest at each rate?

Answers

The amount she invested at each rate of interest for the simple interest are $39,100 and $78,200.

Given that,

Jolene invests her savings in two bank accounts.

Rate of interest for one account = 6% per year

Rate of interest for the other account = 10% per year

Let x be the principal amount invested in the account yielding 10% interest.

Interest amount = 0.1x

Principal amount in the account of 6% interest = 2x

Interest amount = 0.06 × 2x = 0.12x

Annual interest = $8602

0.1x + 0.12x = 8602

0.22x = 8602

x = $39,100

Amount invested for 10% interest account = $39,100

Amount invested for 6% interest account = 2 × $39,100 = $78,200

Hence the amount invested are $39,100 and $78,200.

Learn more about Simple  Interest here :

https://brainly.com/question/25663053

#SPJ1

which ordered pair is a solution to the Equation? 3y = -2x - 4

(1, -2)

(-1, 3)

(3, 4)

(-2, 4)​

Answers

The ordered pair that is a solution to the equation 3y = -2x - 4 is given as follows:

(1, -2).

How to obtain the ordered pair?

The equation for this problem is defined as follows:

3y = -2x - 4

To verify whether an ordered pair is a solution to the equation, it must make the equation true.

When x = 1 and y = -2, we have that:

3y = 3(-2) = -6.-2x - 4 = -2(1) -4 = -6.

Hence the ordered pair (1,-2) is a solution to the equation for this problem.

More can be learned about ordered pairs at https://brainly.com/question/1528681

#SPJ1

1/2,1,2/3,2 pattern arithmetic sequence

Answers

Answer:

The given pattern does not form an arithmetic sequence as there is no common difference between each term. An arithmetic sequence is a sequence in which there is a fixed difference between each consecutive term. For example, 1, 3, 5, 7 is an arithmetic sequence with a common difference of 2 (adding 2 to each term gives the next term). However, the given pattern of 1/2, 1, 2/3, 2 does not follow this pattern as the difference between each term varies. Therefore, this pattern does not fit the definition of an arithmetic sequence.

Step-by-step explanation:

What is two ten thousandths in decimal form

Answers

Two ten thousandths are 0.0002.

The number 2 will be in ten thousand place

TENS   ONES    .       TENTHS       HUNDREDTHS        THOUSANDTHS    

                          .               0                       0                                 0              

TEN THOUSANDTHS

            2

Which expression is equivalent to
1/sin(2x)-cos(2x)/sin(2x)?

Answers

The trigonometric expression 1/sin(2x) - cos(2x)/sin(2x) = tanx

What is a trigonometric expression?

A trigonometric expression is an equation that contains trigonometric ratios.

Given the expression 1/sin(2x) - cos(2x)/sin(2x), we need to find the expression that is equivalent to it.

So, we proceed as follows.

1/sin(2x) - cos(2x)/sin(2x) = [1 - cos(2x)]/sin(2x),

Using the trigonometric identity cos2x = cos²x - sin²x and sin2x = 2sinxcosx, we have that

[1 - cos(2x)]/sin(2x) = [1 - (cos²x - sin²x)]/2sinxcosx

=  [1 - cos²x + sin²x)]/2sinxcosx

Now, 1 - cos²x = sin²x.

So, substituting this into the equation, we have that

[1 - cos²x + sin²x)]/2sinxcosx = [sin²x + sin²x)]/2sinxcosx

=  [sin²x + sin²x)]/2sinxcosx

=  2sin²x/2sinxcosx

=  sinx/cosx

= tanx

So, 1/sin(2x) - cos(2x)/sin(2x),= tanx

Learn more about trigonometric expression here:

https://brainly.com/question/26311351

#SPJ1

Use powers to rewrite these problems: Example: 5 x 5 = 52
a. 5 * 5 * x*x*x
b. 8*8*8 = 8^3
c. 4*4*4*x*x*x*x

Answers

a. 5 * 5 * x * x * x = 5^2 * x^3
b. 8 * 8 * 8 = 8^3
c. 4 * 4 * 4 * x * x * x * x = 4^3 * x^4

15.Marla and Kelly purchased flowers. Marla
purchased 7 roses for x dollars each and 10
daisies for y dollars each. She spent $40.50 on
the flowers. Kelly bought 3 roses and 15
daisies at the same cost as Marla. She spent
$30.75 on her flowers. The system of
equations below represents this situation.
7x+10y = 40.5
3x + 15y = 30.75
Which statement below is correct?

Answers

A statement which is correct include the following: A. Roses cost $2.75 more than daisies.

How to write an equation to model this situation?

In order to write a system of linear equations to describe this situation, we would assign variables to the cost of roses and cost of daisies, and then translate the word problem into a linear equation as follows:

Let the variable x represent the cost of roses.Let the variable y represent the cost of daisies.

Based on the information provided about the flowers purchased by Marla and Kelly. we have the following system of linear equations;

7x + 10y = 40.5

3x + 15y = 30.75

By solving the system of linear equations simultaneously, we have:

x = 4 and y = 1.25

Difference = 4 - 1.25

Difference = $2.75

Read more on equation here: brainly.com/question/18912929

#SPJ1

I need help fast I’ll rate

Answers

The polynomial equation of the smallest degree is f(u) = (u + 2)³(u - 1)²(u - 3)

The minimal degree of the graph

Given that we have the graph of a polynomial

The degree of the graph is the number of times the graph intersect and/or crosses the x-axis

In this case, we have the following points at which the graph intersect and/or crosses the x-axis

Lies on the x-axis at u = -2; so the multiplicity is 3Intersects with the x-axis at u = 1; so the multiplicity is 1Touches the x-axis at u = 3; so the multiplicity is 2

When the multiplicities are added, we have

Degree = 3 + 1 + 2

Degree = 6

So, the degree is 6

The zero at u = 1

In (a), we have

Intersects with the u-axis at x = 1; so the multiplicity is 1

This means that

The zero at u = 1 has a multiplicity of 1

The equation of the smallest degree

The equation is represented as

f(u) = (u - zero)^multiplicity

So, we have

f(u) = (u + 2)³(u - 1)²(u - 3)

Read more about polynomial at

https://brainly.com/question/7693326

#SPJ1

Accounting 125000 loan for 5 years to start business
Owner paid 250 to the county for a business license

Answers

Answer:

p

Step-by-step explanation:

ok so first u take away the underlined letter and give and carry sorry the first one

The following monthly data are taken from Ramirez Company at July 31: Sales salaries, $580,000; Office salaries, $116,000; Federal income taxes withheld, $174,000; State income taxes withheld, $39,000; Social security taxes withheld, $43,152; Medicare taxes withheld, $10,092; Medical insurance premiums, $14,000; Life insurance premiums, $11,000; Union dues deducted, $8,000; and Salaries subject to unemployment taxes, $64,000. The employee pays 40% of medical and life insurance premiums. Assume that FICA taxes are identical to those on employees and that SUTA taxes are 5.4% and FUTA taxes are 0.6%.

1. & 2. Using the above information, complete the below table and prepare the journal entries to record accrued payroll, including employee deductions, and cash payment of the net payroll (salaries payable) for July.
3. Using the above information, complete the below table.
4. Record the accrued employer payroll taxes and other related employment expenses and the cash payment of all liabilities related to the July payroll-assume that FICA taxes are identical to those on employees and that SUTA taxes are 5.4% and FUTA taxes are 0.6%.

Answers

The answers are 1) 360,000, 2) 217,060, 3) 37,140 and 4) 180,080.

1) To calculate the amount of premium paid by the employee and the employer =

Consider employee medical insurance payable, and employee life insurance payable.

The journal entries for accrual payroll, including employee deductions, consider sales salaries expense office salaries expense, social sec taxes payable Medicare tax payable, employee income taxes, life insurance payable, union dues, salaries payable.

2) Journal entry for cash payment of net payroll for month of July consider salaries payable and cash.

3) Calculate the unemployment tax amount, consider state unemployment taxes and federal unemployment taxes,

Journey Entries for accrued employer payroll taxes,

Payroll taxes expenses, social taxes, Medicare taxes, state unemployment taxes, federal unemployment taxes, employee medical and life insurance.

4) Journal entries for cash payment of all libraries, consider, social medical taxes, employee fed, medical, life and state income taxes payable.  

Learn more about journal entries, click;

https://brainly.com/question/20421012

#SPJ1

How do you calculate this???
Picture below. Thank you.

Answers

We can see here that the measure of variability using the range will be: 1.

What is measure of variability?

A statistical metric known as a measure of variability tells us how widely spaced or dispersed a group of data points are. Measures of variability are used to quantify how significantly different a dataset's individual data points are from one another.

The measure of variability using range will:

Mean (Peak season) - Mean (Off Peak Season) = 6 - 5 = 1.

We see here that the mean of the peak season population is increased compared to that of the off-peak season. The mean of the off-peak season is seen to be lower.

Learn more about measure of variability on https://brainly.com/question/14544205

#SPJ1

A fair die is rolled 4 times. What is the probability of having no 1 and no 4 among the rolls? Round your answer to three decimal places.

Answers

The probability of rolling a number that is not 1 or 4 on one roll of the die is 2/3, since there are four possible outcomes (1, 2, 3, or 4) and two of them are not desired.

The probability of rolling a number that is not 1 or 4 on all four rolls is (2/3)^4, since the rolls are independent events and the probability of each roll is 2/3.

(2/3)^4 = 0.197

Rounding to three decimal places, the probability of having no 1 and no 4 among the rolls is approximately 0.197.

solve this equation
4(x-1)=2(6-2x)

Answers

Answer:

4(x-1)=2(6-2x)

4x-4=12-4x

4x+4xd=12+4

8x=16

x=2

Answer:

x=2

Step-by-step explanation:

Step 1: Distribute

To solve this problem, the first step is distributing the four and the 2.

[tex]4(x-1)=2(6-2x)\\\\4x-4=12-4x[/tex]

So this is our simplified problem.

Step 2: Solve for x

Step 2a: Add 4x to both sides:

(This is because we do not have two variables in the equation, making it easier to solve.

[tex]4x+4x-4=12-4x+4x\\\\8x-4=12+0\\\\8x-4=12[/tex]
Step 2b: Add 4 to both sides:

(We do this to leave the variable on one side and the constant on the other. )

[tex]8x-4+4=12+4\\\\8x+0=16\\\\8x=16[/tex]

Step 2c: Divide both sides by 8:

(The reason why we do this is to isolate the variable without any coefficient in front.)

[tex]\frac{8x}{8} =\frac{16}{8} \\\\x=2[/tex]


Solve the equation 4m = 28 for m.

A. 3
B. 4
C. 5
D. 7

Answers

Answer:

Dividing both sides by 4, we get:

4m/4 = 28/4

Simplifying, we get:

m = 7

Therefore, the answer is D. 7.

Using any example of a 2 by 2 matrix;
Show that (A inverse) inverse = A; where A is a 2 by 2 matrix

Answers

if A is a 2x2 matrix, it looks like this (see picture where A = …). Note that (a and b) and (b and c) are diagonal from one another.
The inverse of A is A^-1 (see picture), where A^-1 = (1/(determinant of A))*(adjoint of A). Note that the inverse of A only exists if ad - bc ≠ 0.

So, if ANY example of a 2 by 2 matrix is allowed… we use an example where a = 1, b = 2, c = -3, d = -5. The inverse matrix will have the terms -5, -2, 3, 1. (See photo)

To show that the inverse OF the inverse equals A, follow the same process. And.. yes, (A^-1)^-1 = A. We want to see the identity matrix 1, 0, 0, 1 since A*A^-1 = I (this is an uppercase i).

I’m on my phone so it’s harder to type. Refer to the picture to see my work:

I hope this helps!

If diameter EF bisects BC, what is the angle of intersection?

Answers

Angle is 80 degrees bisect

Answer:

The angle of the intersection is 90 degrees

Step-by-step explanation:

How I know this is because EF is the diameter, which means that arc EF is equal to 180 degrees. Because we know this that means when it is spilt into two parts, the arc and angle measure has to be 90 degrees.

Another way to do this is to remember that a circle is 360 degrees and the circle is split into 4 parts. So all you have to do is divide 360/4 to get 90. Your answer.

A bag has 6 blue cubes, 3 red cubes, and 3 green cubes. If you draw a cube and replace it in the bag 120 times, which of the following amounts would you expect to pull?

Answers

The expected values are 60 blues, 30 reds and 30 greens

Which amount would you expect to pull?

From the question, we have the following parameters that can be used in our computation:

6 blue cubes, 3 red cubes, and 3 green cubes

This means that we have the following proportions

Blue = 6/(6 + 3 + 3) = 1/2

Red = 3/(6 + 3 + 3) = 1/4

Green = 3/(6 + 3 + 3) = 1/4

If you draw a cube and replace it in the bag 120 times, we have

Blue = 1/2 * 120 = 60

Red = 1/4 * 120 = 30

Green = 1/4 * 120 = 30

Hence, the expected values are 60 blues, 30 reds and 30 greens

Read more about proportions at

https://brainly.com/question/12024093

#SPJ1

Which equation describes a vertical translation of the square root parent function?
A. y = x − 4−−−−−−√
x



4
B. y = x−−√−6
x
-
6
C. y = x−−√
x
D. y = −x−−√

Answers

Answer:

The equation that describes a vertical translation of the square root parent function is A. y = x − 4−−√ + k where k is the vertical shift.

The square root parent function is f(x) = √x. To perform a vertical translation of this function, we add or subtract a constant value to the function. In this case, the function y = x − 4−−√ represents a vertical translation of the square root parent function by 4 units downwards.

Option B, y = x−−√−6 represents a vertical translation of the square root parent function by 6 units downwards. Option C, y = x−−√, represents the square root parent function without any vertical shift. Option D, y = −x−−√, represents a reflection of the square root parent function about the y-axis.

Need help with his page 20 points

Answers

Answer:

m/2 -6= m/4+2 can be solved as follows:

Multiply both sides of the equation by the least common multiple of the denominators, which is 4:

4(m/2 - 6) = 4(m/4 + 2)

2m - 24 = m + 8

Subtract m from both sides:

m - 24 = 8

Add 24 to both sides:

m = 32

Therefore, the value of m is C) 32.

k/12 = 25/100 can be solved as follows:

Multiply both sides of the equation by 12:

k = 12 * (25/100)

k = 3

Therefore, the value of k is A) 3.

9/5 = 3x/100 can be solved as follows:

Multiply both sides of the equation by 100:

100 * (9/5) = 3x

Simplify:

180/5 = 3x

36 = 3x

Divide both sides by 3:

x = 12

Therefore, the value of x is not one of the options provided.

Step-by-step explanation:

Answer:

Question 18:-

[tex] \sf \longrightarrow \: \frac{m}{2} - 6 = \frac{m}{4} + 2 \\ [/tex]

[tex] \sf \longrightarrow \: \frac{m - 12}{2} = \frac{m + 8}{4}\\ [/tex]

[tex] \sf \longrightarrow \: 4(m - 12) =2(m + 8)\\ [/tex]

[tex] \sf \longrightarrow \: 4m \: - 48 =2m + 16\\ [/tex]

[tex] \sf \longrightarrow \: 4m \: - 2m = 16 + 48\\ [/tex]

[tex] \sf \longrightarrow \:2m = 64\\ [/tex]

[tex] \sf \longrightarrow \:m = \frac{64}{2} \: \\ [/tex]

[tex] \sf \longrightarrow \:m = 32 \: \\ [/tex]

[tex] \qquad{ \underline{\overline{ \boxed{ \sf{ \: \: C) \: \: \: 32 \: \: \: \: \: \checkmark }}}}} \: \: \bigstar[/tex]

__________________________________________

Question 19:-

[tex] \sf \leadsto \: \frac{k}{12} = \frac{25}{100} \\ [/tex]

[tex] \sf \leadsto \: 100(k)= 12(25) \\ [/tex]

[tex] \sf \leadsto \: 100 \times k= 12 \times 25 \\ [/tex]

[tex] \sf \leadsto \: 100 k= 300 \\ [/tex]

[tex] \sf \leadsto \: k= \frac{300}{100} \\ [/tex]

[tex] \sf \leadsto \: k= 3 \\ [/tex]

[tex] \qquad{ \underline{\overline{ \boxed{ \sf{ \: \: a) \: \: \: 3 \: \: \: \: \: \checkmark }}}}} \: \: \bigstar[/tex]

__________________________________________

Question 20:-

[tex] \sf \longrightarrow \: \frac{9}{5} = \frac{3x}{100} \\ [/tex]

[tex] \sf \longrightarrow \: 100(9)= 5(3x) \\ [/tex]

[tex] \sf \longrightarrow \: 100 \times 9= 5 \times 3x \\ [/tex]

[tex] \sf \longrightarrow \: 900= 15x \\ [/tex]

[tex] \sf \longrightarrow \: x= \frac{900}{15} \\ [/tex]

[tex] \sf \longrightarrow \: k= 60 \\ [/tex]

[tex]\qquad{\underline{\overline {\boxed{ \sf{ \: \: a) \: \: \: 60 \: \: \: \: \: \checkmark }}}}} \: \: \bigstar[/tex]

__________________________________________

The 5-lb collar slides on the smooth rod, so that when it is at A it has a speed of 10 ft/s. A) if the spring to which it is at- tached has an unstretched length of 3 ft and a stiffness of k-= 10 lb/ etermine the normal force on the collar at this instant. B)Determine the acceleration of the collar at this instant.

Answers

The acceleration of the collar at point A is 5 ft/s^2.

A) To determine the normal force on the collar at point A, we need to consider the forces acting on the collar. The only force acting on the collar in the vertical direction is the weight of the collar (5 lb), which is balanced by the normal force exerted by the rod. Therefore, we can write:

N - 5 = 0

where N is the normal force. Solving for N, we get:

N = 5 lb

B) To determine the acceleration of the collar at point A, we need to use Newton's second law, which states that the net force acting on an object is equal to its mass times its acceleration. The net force on the collar is given by the force exerted by the spring, which is equal to the spring constant times the displacement of the collar from its unstretched length. At point A, the displacement of the collar is:

x = L - y = 3 - 0 = 3 ft

where L is the length of the rod and y is the position of the collar on the rod. Therefore, the force exerted by the spring is:

F = kx = 10 lb/ft × 3 ft = 30 lb

The weight of the collar is:

W = mg = 5 lb

where g is the acceleration due to gravity. The net force on the collar is therefore:

Fnet = F - W = 30 - 5 = 25 lb

Using Newton's second law, we can write:

Fnet = ma

where a is the acceleration of the collar. Solving for a, we get:

a = Fnet / m = 25 lb / 5 lb = 5 ft/s^2

Therefore, the acceleration of the collar at point A is 5 ft/s^2.

Accelerationhttps://brainly.com/question/16850867

#SPJ11

Helppppp
I really neeed this answer

Answers

s√3 is the distance from point A to point B. Therefore, the correct option is option D among all the given options.

While distance and displacement appear to have the same meaning, they actually have very different definitions and meanings. Displacement is the measurement of "how far an object is out of place," whereas distance refers to "the amount of ground the object has travelled over during its motion."

Distance² = s² + s² + s²

Distance² = 3 s²

Distance = s√3

Therefore, the correct option is option D among all the given options.

To know more about distance, here:

https://brainly.com/question/15172156

#SPJ1

Claire tried to subtract two polynomials which step did Claire make an error or are there no errors

Answers

She made a mistake in step 2…

Suppose X~N(12,2). The empirical rule stated that about 68% of the x values lie within one stands deviation of the mean. Between what x Values does 68% of the data lie?

Answers

Answer:

Suppose X ~ N(12,2) represents a normal distribution with mean 12 and standard deviation 2. According to the empirical rule, about 68% of the x values lie within one standard deviation of the mean .

We can calculate the endpoints of the interval that represents one standard deviation from the mean as follows:

Lower endpoint: 12 - 2 = 10

Upper endpoint: 12 + 2 = 14

Therefore, about 68% of the x values lie between 10 and 14 1.

Step-by-step explanation:

Julia saved 1 cent ($0.01) on the first day of the month, 2 cents ($0.02) on the second day, 4 cents ($0.04) on the third day, and double the previous day's amount on each successive day. Julia's savings for the first five days are shown in the table below.

On what day will Julia first save an amount greater than $1.00?
Select one:
day 7
day 50
day 8
day 20

Answers

Answer:

Step-by-step explanation:

Because we're told the amount doubles on each successive day, we know we're dealing with an exponential function.

The general form for an exponential function is

[tex]f(x)=ab^x[/tex], where a is the initial value, b is the base, and x is the exponent.

We know that Julia saved $0.01 on the first day so our a value is 0.01.

Because the amount doubles each time, our base is 2.

Furthermore, since we're want to find when Julia's savings exceed $1.00, we can turn the general exponential formula into an inequality where the formula is greater than 1 and solve for x (time in days):

[tex]1.00 < 0.01(2)^x\\100 < 2^x\\log(100) < log(2)^x\\log(100) < x*log(2)\\log(100)/log(2) < x\\6.64 < x\\7 < x[/tex]

We had to round the 6 to the nearest whole number (7) to get the answer.

We can check our work by plugging in both 6.64 for x and 7 for x to see how at 7 days, Julia's savings exceed 1.00

Plugging in 6.64 for x:

[tex]f(6.64)=0.01(2)^6^.^6^4\\f(6.64)=0.01*99.7\\f(6.64)=0.997\\f(6.64)=1.00[/tex]

Using 6.64 for x makes Julia's savings equal 1, but they don't exceed 1

Plugging in 7 for x:

[tex]f(7)=0.01(2)^7\\f(7)=0.01*128\\f(7)=1.28[/tex]

The dimensions of square A are three times the dimensions of square B. The area of square B is 64 cm what is the area of square A

Answers

if the sides of A are 3 times bigger than B
Then the area is 9 times bigger because you are working in squared dimensions for area. You must square the given scale factor 3.
If B is 64. Then A is 64x9=576

A straw is placed inside a rectangular box that is 1 inches by 3 inches by 3 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.

Answers

The length of the straw is 4.26 inches.

We have,

On the bottom face,

Applying the Pythagorean theorem,

x² = 1² + 3²

x² = 1 + 9

x² = 10

Now,

Applying the Pythagorean theorem with the diagonal side.

d² = x² + 3²

d² = 10 + 9

d² = 19

d = √19

d = 4.36 in

Thus,

The length of the straw is 4.26 inches.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ1

A soda can has a radius of 1 inch and a height of 5 inches and a density of 3.2 g/mL. What is the mass?

Answers

The volume of the soda can is given by the formula V = pi*r^2*h, where r is the radius and h is the height. Substituting the given values, we get V = 3.1416*(1 inch)^2*(5 inches) = 15.708 cubic inches.

The mass of the soda can is given by the formula M = V*d, where d is the density of the soda can. Substituting the given values, we get M = 15.708 cubic inches * 3.2 g/mL = 50.226 g.

Therefore, the mass of the soda can is approximately 50.226 grams.

Need help I have 20 min! x=In^20 Write in exponential form.

Answers

The given equation in exponential form will be [tex]20 = x^e[/tex]

Given is an equation, x = ㏑ 20,

So, we know that,

㏑(x) = [tex]log_e(x)[/tex]

And,

logₐ (x) = b

x = bᵃ

Therefore,

x = ㏑ 20

will be converted into,

[tex]20 = x^e[/tex]

Hence, the given equation in exponential form will be [tex]20 = x^e[/tex]

Learn more about logarithmic equations, click;

https://brainly.com/question/29197804

#SPJ1

Other Questions
12x to the power of 2 y divided by 3x to the power of 2.please help! Estimate the perimeter and the area of the shaded figure to the nearest tenth.A shaded composite figure is shown on a grid. The figure is made up of a triangle on the left, a square in the center, and a semicircle on the right.The triangle is a 45, 45, 90 triangle with a hypotenuse of 6 units. The semicircle has a diameter of 6 units. The square has a side length of 2 units. One side of the square is shared with part of the hypotenuse of the triangle, and one side is shared with part of the diameter of the semicircle. perimeter: about unitsarea: about square unitsPlease answerfor perimeterand area solve this equation 4(x-1)=2(6-2x) The beginning inventory is expected to be 2,900 coses. Expected sales are 12,700 cases, and the company wishes to begin the next period with an Inventory of 1,900 cases. The number of cases the compan The amount that light refracts in a given medium depends on the properties of the medium, and is measured by a value known as its refractive index. A student performs a series of experiments in which she aims light rays at the surface of various media. She then measures the refraction angle of the light rays upon entering the different media.Provided below is a table of refractive indices for various media, as well as diagrams showing the results of her experiments.Refractive index of air = 1.00Refractive index of diamond = 2.42For her next experiment, the student plans to aim light rays at salt crystals. If the light rays strike the surface of the salt crystals at 45, which of the following is the best estimate for the refraction angle of the light rays?Group of answer choicesLess than 17More than 32Between 28 and 32Between 17 and 28 Given the trend toward employee empowerment in the workplace, more and more employees are finding the _____ theory useful.equitymotivator-hygieneexpectancyscientific managementgoal-setting I have 25 minQuestion 9 A man swimming in a stream which flows 4 Km/h finds that in a given time he can swim 5 times as far with the stream as he can against it. At what rate does he swim? Not yet answered Marked Peace is possible speech One gallon of water weighs 8. 34 pounds. How much does 6 gallons of water weigh? Show your work, including labeling your answer with the appropriate units of measure the covariance of the returns between wildcat stock and sun devil stock is 0.09875. the variance of wildcat is 0.2116, and the variance of sun devil is 0.1369. what is the correlation coefficient between the returns of the two stocks? a polygon is convex if it contains any line segment that connects two points of the polygon. write a program that prompts the user to enter the number of points in a convex polygon, then enter the points clockwise, and display the area of the polygon.sample runenter the number of points: 7enter the coordinates of the points:-12 0 -8.5 10 0 11.4 5.5 7.8 6 -5.5 0 -7 -3.5 -5.5the total area is 244.575 Lainey has a part-time job working in a restaurant after school. The chef constantly gets orders wrong and the customers blame Lainey which makes Lainey feel very stressed. Lainey has learned to very carefully check each dish before taking it to the customers. For Lainey, the chef's mistakes are __________, and checking each order is a __________ response.a.a stressor; copingb.a stressor; fight-or-flightc.distress; copingd.distress; fight-or-flight 12 We should protect our economy and ___________ all cheap imports. I NEED HELP ASAP(Tragedy of Macbeth)Which two sentences best describe how Banquo serves as a foil to Macbeth?A. Banquo lacks ambition.B. Banquo forgives his enemies.C. Banquo suspects the witches of deceit.D. Banquo values loyalty above his own interests.E. Banquo has pride in his reputation as a warrior. Define and provide examples of negative punishment contingencies Suppose X~N(12,2). The empirical rule stated that about 68% of the x values lie within one stands deviation of the mean. Between what x Values does 68% of the data lie? "What type of an attack is being executed if an attacker substituted an invalid MAC address for the network gateway so no users can access external networks? a. ARP poisoning b. man-in-the-middle c. denial of service d. DNS poisoning " If [answer] is behind schedule, the job may need to go on overtime, which causes problems for the customer. (10 points) children sometimes play with a homemade telephone connecting two paper cups with a string, consider how intensity of sound decreases as it spreads out in a media. how does the intensity of sound transmitted through the taut string between cups separated by a distance x compare qualitatively to the decrease of sound intensity of the children shouting across the same distance in 3 dimensional space? how is it that a child can hear better speaking through the play telephone compared to speaking directly? explain. Rewrite your pay program using try and except so that your program handles non-numeric input gracefully by printing a message and exiting the program. The following shows two executions of the program: Enter Hours: 20 Enter Rate: nine Error, please enter numeric input Enter Hours: forty Error, please enter numeric input