Use a sample mean to estimate a population mean with a certain specified OA certainty OB. accuracy OC. confidence OD. determination

Answer:

7c - 20d

Step-by-step explanation:

5(3c - 4d) - 8c ← distribute parenthesis by 5

= 15c - 20d - 8c ← collect like terms

= 7c - 20d

Answer:

-8i + 2i^2

I am new but I hope this helps you

Answer:

-8i+2i²

this looks like an equation in factorization

The probability of getting a 3 is:

The probability of getting green is:

Therefore the probability of getting a 3 and a green is:

Hence the answer is C.

We want to find the percentage of students that scored between 70-90 points on the examn. Also, we know that there are a total of 71 students, so we have to count the number of students who got between 70-90 points.

We see them represented on the histogram as the two largest bars, and we obtain:

So, the total of students that scored between 70-90 points is 21+22=43.

For finding the percentage, we make the quotient between the number of students with a score of 70-90 and the total of the students in the class.

This means that approximately a 60.6% of the class students scored between 70 and 90 points.

Answer:

C. Neither

Explanation:

The SSS Congruence Rule states that if the three sides of a triangle are equal to the three sides of another triangle, then the two triangles are congruent.

The SAS Congruence Rule states that if the two sides and the included angle of one triangle are equal to the two sides and the included angle of another triangle, then the two triangles are congruent.

Notice that in the given triangles, there are two congruent sides and a non-included angle, since this does not satisfy any of the rules stated above, SSS Congruence rule or SAS Congruence rule, we'll choose "neither" as the correct answer.

Given :

The cost of 3 shirts and 5 sweaters is $99 .

The cost of 6 shirts and 4 sweaters is $90.

To determine :

The sweater cost and shirt cost each.

Explanation :

Let the shirt cost be x.

Let the sweater cost be y.

Then the equation formed is

Solve the equation 1 and 2 to find x and y with the help of elimination method.

Multiply by 2 in equation 1.

Solve equation 2 and 3 by subtraction,

The value of y is 18 and now substitute the value of y in equation 2 to find x.

The value of x is 3.

Answer :

The cost of shirt is 3 dollar .

The cost of sweater is 18 dollar.

it

Consider that the graph of f(x) is the graph of a cubic function, that is, the graph of a 3 degree polynomial. If you apply first derivative to such a polynomial, the result is another polynomial of degree 2.

Now, take into account that the graph of a polynomial of degree 2 is a parabola. The parabola can open up or down. It depends of the leadding coefficient of the polynomial. In this case, due to the graph of f(x), the leadding coefficient is positive, which means that the parabola of f'(x) opens up.

Hence, you can conclude that the graph of f'(x) is option C.

The most appropriate choice for arithmetic and geometric series will be given by-

P = 0, Q = 4 , R = 8, S = 16 or P = 15, Q = 9, R = 3, S = 1 are the required numbers

What is arithmetic and geometric series?

Arithmetic series are those series whose difference between two consecutive terms are same.

Geometric series are those series whose ratio between two consecutive terms are same.

Here,

P, Q and R forms an Arithmetic sequence

Let P = a - d , Q = a, R = a + d, Where a is the first term of the Arithmetic sequence and d is the common difference of the sequence.

Let S = b

Q, R and S forms a Geometric sequence

[tex]\frac{a + d}{a} = \frac{b}{a +d}[/tex]

[tex](a + d)^2 = ab\\a^2 + d^2 + 2ad = ab\\[/tex] ............... (1)

Now the sum of first and fourth number is 16

a - d + b = 16

b = 16 - a + d

Putting the value of b in (1),

[tex]a^2 + d^2 + 2ad = a(16 - a +d)\\a^2 + d^2 + 2ad = 16a -a^2+ad\\a^2+a^2 + d^2+2ad - ad - 16a = 0\\2a^2 + ad+d^2 -16a = 0[/tex]............ (2)

Sum of second and third number is 12

[tex]a + a + d = 12\\2a +d = 12\\d = 12-2a[/tex]

Putting the value of d in (2)

[tex]2a^2 + a(12 - 2a)+(12 - 2a)^2-16a = 0\\2a^2 + 12a - 2a^2+144-48a+4a^2 - 16a = 0\\4a^2-52a+144=0\\4(a^2-13a+36)=0\\a^2 -13a+36=0\\a^2-9a-4a+36=0\\a(a - 9)-4(a-9)=0\\(a-4)(a-9) = 0\\[/tex]

[tex]a - 4 = 0[/tex] or [tex]a - 9 = 0[/tex]

[tex]a = 4[/tex] or [tex]a = 9[/tex]

When a = 4,

[tex]d = 12 - 2\times 4\\d = 12 - 8\\d = 4[/tex]

[tex]b = 16 - 4+4\\b = 16[/tex]

P = 4 - 4 = 0

Q = 4

R = 4 + 4 = 8

S = 16

When a = 9,

[tex]d = 12 - 2\times 9\\d = 12 - 16\\d = -6[/tex]

[tex]b = 16 - 9-6\\b = 1[/tex]

P = 9 - (-6) = 15

Q = 9

R = 9 + (-6) = 3

S = 1

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Ok, we are going to use the midpoint formula

M = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

(-7,-21)=((x1-13)/2 , (y1-15)/2 )

Break up this formula into two equations.

(x1-13)/2=-7 and (y1-15)/2=-21

Solve for x1 and y1 from the equations. So:

x1=(-7*2)+13

x1=(-14)+13=-1

y1=(-21*2)+15=(-42)+15=-27

So the other endpoint is (-1, -27).

Express p in terms of x : p = 5x

What is Percent?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.

If 5% of an adult's daily potassium requirement is provided by each serving of Crunchy Grain cereal, then x servings will offer x times 5%.

Five times as many servings, or p, of potassium are required for an adult's daily requirement.

As a result,

p = 5x can be used to describe the proportion of potassium in an adult's daily allotment.

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In the given figure, we have two triangles △EJH and △EIH

We are given the following information

This means that these two triangles are "Right Triangles"

Therefore.

Choice 1 = right angles

When the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the triangles are congruent.

Therefore,

Choice 2 = side-angle-side triangle congruence

Choice 3 = side-angle-side

Answer: choice 1 -Right Angle

Choice 2 -Pythagorean

Choice 3- Side-Side-Side

Step-by-step explanation:other guy is completely wrong lol

The slope of a line, m, comes in the equation as the coefficient of x.

In the given equation, m= -5/4. Two perpendicular lines have slopes that are the negative reciprocals of each other.

So, the slope of the perpendicular line will be +4/5.

Between the given options, letter c will be:

4x-5y=15

-5y=15-4x (divided by -5)

y=4/5x-3

Letter C

Answer:

25 feet

Explanation:

The equation that models the pathway of the container is:

The maximum height occurs at the axis of symmetry.

First, we find the equation of symmetry:

Next, determine the value of h at t=0.

The maximum height of the container is 25 feet.

Answer:

x = 100degrees

Explanation:

Using the theorem;

The angle at the vertex is the half of the difference of its intercepted arcs

Angle at the vertex = 15 degrees

angle at the intercepted arcs = 70degrees and x degrees

According to the theorem;

15 = 1/2(x-70)

Cross multiply

15 * 2 = x - 70

30 = x - 70

Add 70 to both sides

30 + 70 = x - 70 + 70

100 = x

Swap

x = 100degrees

Hence the value of x is 100degrees

Given:

The equaiton that model height of the driver jumps from the ledge.

Requried:

We need to find the time taken by driver to enter the water.

Explanation

650 --- total

650*.68=442

442 students ate green bean casserole

.68 represents the percentage

so for example, if they asked me for 50% of 1000

we need to multiply 1000*0.5

if they asked for 60% we will multiply 1000*0.6

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Draw the given graph.

STEP 2: Get the function plotted on the graph.

The value of n must be 136.5/7

n = 136.5/7

n = 19.5

Result n = 19.5

The distance covered by Kaylee in 17 hours at the same rate is 544 miles.

According to the question,

We have the following information:

Distance covered by Kaylee = 160 miles

Time taken by Kaylee = 5 hours

We know that the following formula is used to find the speed:

Speed = distance/time

Speed = 160/5 mile/hour

Speed = 32 miles/hour

Now, we have to find the distance when time taken is 17 hours and the speed is the same.

Now, from the formula of speed, we can find the distance:

Distance = speed*time

Distance = 32*17

Distance = 544 miles

Hence, the distance covered by Kaylee in 17 hours is 544 miles.

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Hello there. To solve this question, we have to remember some properties about polynomial functions.

Given the polynomial function

We want to determine:

a) What are the x-intercepts of the graph of p(x)?

For this, we have to determine the roots of the polynomial function p(x). In this case, we have to determine for which values of x we have

Since p(x) is written in canonical form, we find that

A product is equal to zero if at least one of its factors is equal to zero, hence

Solving the equations, we find that

Are the solutions of the polynomial equation and therefore the x-intercepts of p(x).

b) What is the end-behavior of p(x) as x goes to +∞ or x goes to -∞?

For this, we have to take the limit of the function.

In general, for polynomial functions, those limits are either equal to ∞ or -∞, depending on the degree of the polynomial and the leading coefficient.

For example, a second degree polynomial function with positive leading coefficient is a parabola concave up and both limits for the function as x goes to ∞ or x goes to -∞ is equal to ∞.

On the other hand, an odd degree function usually has an odd number of factors (the number of x-intercepts in the complex plane) hence the limits might be different.

In this case, we have a third degree polynomial equation and we find that, as the leading coefficient is positive and all the other factors are monoic, that

That is, it gets larger and larger when x is increasing arbitrarily, while it get smaller and smaller as x is decreasing.

c) To find the equation for a polynomial q(x) that has x-intercepts at -2, 3/4 and 7.

The canonical form of a polynomial of degree n with x-intercepts at x1, x2, ..., xn and leading coefficient equals a is written as

So in this case, there are infinitely many polynomials satisfying this condition. Choosing a = 1, we find that q(x) is equal to

These are the answers to this question.

The equation in the point slope form for the line perpendicular to y = (1/4)x-7 that passes through the point (-2,-6) is y+6 = -4(x+2)

The given equation of the perpendicular line

y = (1/4)x -7

The equation is in the slope intercept form of the line

y = mx+b

Where m is the slope of the line

By comparing the given equation with the slope intercept form

The slope of  the line m = 1/4

The slope of its perpendicular line = -1/m

= -4

The point slope form is

[tex](y-y_1)=m(x-x_1)[/tex]

The point is given that (-2,-6)

Substitute these values in the equation

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

y+6 = -4(x+2)

Hence, the equation in the point slope form for the line perpendicular to y = (1/4)x-7 that passes through the point (-2,-6) is y+6 = -4(x+2)

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Given the word problem, we can deduce the following information:

1. A set of four numbers that begins with the number 32 is arranged from

smallest to largest.

2. The median is 35.

To determine the possible set of numbers of which the median is 35, we first note that median is the number separating the other half of the ordered data sample from the lower half.

Now, we check the median of each choices:

For a) 32, 32, 36, 38:

For b) 32, 35, 38, 41:

For c) 32, 34, 36, 39

For d) 32, 36, 40, 44​:

Therefore, the answer is: c) 32, 34, 36, 39

a)

We need to convert 1.96 x 10^-5 meters. into standard notation.

Now, on the scientific notation, the power of ten shows how many places the decimal point has been moved.

- If the exponent is positive then the decimal point has been moved to the left.

- If the exponent is negative, then the decimal point has been moved to the right.

In this case, the power is negative 5 . So, the decimal point has been moved 5 places to the right.

Hence:

1.96 x 10^-5 = 0.0000196

b)

a. Meters

First, we need to convert kilometers into meters using the rule of three:

If 1k = 1000 meters

Then 12,100k = x

Where x = (12,100k*1000m)/ 1k

x =12000000 meters

We need to convert from standard notation to scientific notation:

12000000.0 = 1.2x10^7 meters

The decimal point has been moved 7 places to the left, so the power of then is positive 7.

b) We need to convert 12,100 kilometers into scientific notation:

12,100 = 12,100.0

Converting into scientific notation

1.21x10^4 kilometers

The decimal point has been moved 4 places to the left. Hence, the power of the is positive 4.

If M(h,k) is rotated 90° counterclockwise about the origin, the new position would be M'(k, -h)

M(2, 4)-> M'(4, -2)

Answer:

32×10⁴

Step-by-step explanation:

open the bracket

8×4×10^(2+2)

32×10⁴

hope it helps

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Answer:l og2(16)=x log 2 ( 16 ) = x in exponential form using the definition of a logarithm. If x x and b b are positive real numbers and b b does not equal ...

Step-by-step explanation: