Which of the following is a solution to the equation 16=4x-4?

Remember that

z =(x - μ)/σ

we have

μ=85

σ=5

For x=73

Find out the value of Z1

z1=(73-85)/5

z1=-2.4

For x=76

Find out the value of Z2

z2=(76-85)/5

z2=-1.8

using a z-scores table values

we have that

ONLY F is correct;

Here, we want to select the correct inference from the data presented

f) We want to comapre the number of English freshmen and the undecided

Both have a count of 50; we can see that these values are equal and thus, we conclude that these two are equal

This makes the inference correct

g) Here, we want to compare Education freshmen to science freshmen or others

From the question, the number of education freshmen is 60

The number of science or others is (30+25) = 55

The number for education is greater and not less

This makes this option or inference incorrect

h) Here, we want to comapre Business/Education and Science/Engineering

Business OR Education is = 45 + 60 = 105

Science OR Engineering is = 35 + 40 = 75

Business/Education is greater and this makes this option or inference wrong

j) Here, we want to compare Business and English

Business is 45

English is 50

We can see that English is greater and this makes the inference/option wrong

Answer:

D = (9,-4)        E = (3,-4)       F= (3, -10)         G=(9,-10)

Step-by-step explanation:

Simply switch the signs (- or +)

Ex: rotate (9,1) 180 degrees

Your answer would be (-9,-1)

Using elimination:

Therefore, the answer is:

B) Multiply A by 1 and B by -3

7 ( 1 + 3 )

Solve the sum inside the parentheses ( 1 + 3 = 4 )

7 ( 4 )

multiply

7*4 = 28

Since the sum must equal 28

7 + 21 = 28

Correct option = 7+21

SOLUTION

Given the image on the answer tab;

Explanation;

The two angles are said to be adjacent angles when they share the common vertex and side.

Considering our question;

Based on the information given in the exercise, you know that the shaded region has this area:

And the area of each square region in the corners is:

Since there are four square regions, you can multiply that the area of any of them by 4, in order to find the total area of them:

Then, in order to find the total area of the figure, you must add the area of the shaded region and the total area of the square regions:

Therefore, the total of the figure is:

In this question, we are given two locations of a military compound.

Let's take the coordinates of point A from the graph,

A = (-3, 2)

The new coordinates of A' = (5, 13)

translation in x-axis = 5 - (-3) = 5 + 3 = 8

translation in y-axis = 13 - 2 = 11

hence, each point of the figure will be translated to 8 units on the x-axis and 11 units on the y-axis.

Given the function

Finding the derivative we have

Also

Finally

The law of sines states that:

where alpha is the opposite angle to side a, beta is the opposite angle to side b and gamma is the opposite angle to side c.

For the triangle given we notice that:

Angle x is opposite to side 2.5.

Angle 28° is opposite to side 3.

Therefore the expression to find x is:

Answer:

33 days

Explanation:

If you use a half tablet for 7 days, you will consume:

0.5 x 7 days = 3.5 tablets.

So, at the end of the 7th day, you will consume 3.5 tablets and you will have 26.5 tablets left because:

30 tablets - 3.5 tablet = 26.5 tablets.

Then, you will consume 1 tablet daily, so if you have 26.5 tablets, you will have a tablet daily for 26 days.

Therefore, the day supply for 30 tablets will be the sum of the initial 7 days and the 26 days, so:

7 days + 26 days = 33 days.

Therefore, the answer is 33 days

Given:

The initial number of MNMs I have, x=200.

The number of MNM's eat by me every minute, p=15.

The initial number of MNMs my friend have, y=300.

The number of MNM's eat by friend every minute, q=25.

Let n be the number of minutes after which both will have the same number of MNM. Then, the amount of MNM remaining with me after n minutes is,

The amount of MNM remaining with my friend after n minutes is,

Equate the above expressions and substitute the values to find the number of minutes n.

Therefore, I will have the same number as my friend after 10 minutes.

The number of minutes taken by me to finish 200 MNM's is,

So, I will take 13 minutes 20 seconds to finish the MNM's.

The number of minutes taken by my friend to finish 300 MNM's is,

So, the friend will take 12 minutes to finish the MNM's.

So, I will finish

Let's make a diagram to visualize the problem.

First, let's find angle A.

Then, we use the law of sines to find AB.

The CLOSEST correct answer regarding "x" is the first one (answer A), since x is 79. The correct answer is: X measures 79 because it is an alternate external angle between parallel lines to the one labeled 79 in the picture.

The quadrilateral ABCD was dilated by a scale factor of 3/4 to form the quadrilateral A'B'C'D'

This means that each side of the quadrilateral was multiplied by 3/4 to make the dilation.

You know that the scale factor is 3/4 and the length of D'A' is equal to 30 units, then:

Multiply both sides by the reciprocal of 3/4

The length of side DA is 40 units.

To solve this problem, the first thing we must do is find the Z-Score of the given costs: $5265 , $6735 , $4530 ,and $7470

Then we proceed to find the percentages for each interval based on the graph

z-score for $5265 )

z-score for $6735 )

z-score for $4530 )

z-score $7470 )

now, let's analyze the intervals

a ) between $5265 and $6735

This interval goes from (μ-σ) to (μ+σ)

if we look at the graph we find that this corresponds to a percentage of 68%

b) above $6735

This corresponds to what is to the right of (μ+σ)

This is a percentage of 16%

c ) below $4530

This corresponds to what is to the left of (μ-2σ)

This is a percentage of 2.5%

d ) between $5265 and $7470

This interval goes from (μ-σ) to (μ+2σ)

This is a percentage of 81.5%

An athlete run in 22 minutes is 19.232 laps

Given,

An athlete runs at a speed of 9 miles per hour.

and,  If one lap is 349 yards.

To find the how many laps does he run in 22 minutes?

Now, According to the question:

Firstly, Convert the mph into yard per minute,

Remember that:

I mile = 1,760 yard

1hour = 60 minute

Convert the speed in miles/hour to yards/minute

9 [tex]\frac{miles}{hour}[/tex] = 9[tex]\frac{1760}{60}[/tex] = 264 yard/ min

We know that

The speed is equal to divide the distance by the time

Let

s → the speed

d → the distance in yards

t → the time in minutes

Using the formula :

Speed = distance/ time

Solve the distance:
d = speed x time

Speed = 264 yard/ minute

Time = 22 minute

Therefore,

Distance = 264 x 22

Distance = 5,808 yards

Divide the distance by 302 yards to find out the number of laps

= 5,808/ 302 = 19.232 laps

Hence, An athlete run in 22 minutes is 19.232 laps

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The cost per minute is $0.05 and it is round off to the nearest hundredths place.

Round off:

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

Given,

Advantage Cellular offers a monthly plan of $25 for 500 minutes.

Here we need to find the cost per minute and we have also need to round off the result to the nearest hundredth place.

We know that,

500 minutes cost = $25

So, to calculate the price for one minute, then we have to divide the cost by the total number of minutes.

So, it can be written as,

=> 25 ÷ 500

So, the cost for one minute is.

=> 0.050

When we rounded to the nearest hundredths place.

The 5 in the hundredths place rounds down to 5, or stays the same, because the digit to the right in the thousandths place is 0.

Therefore, the cost per minute is $0.05.

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The probability is 0.57

What is meant by probability?

Probability is a discipline of mathematics that deals with appropriate units of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number ranging from zero and 1, where 0 denotes the event's feasibility and 1 represents certainty. The greater the likelihood of an occurrence, the more probable it will occur. Tossing a fair (unbiased) coin is a basic example. Because the coin is fair, the two possibilities ("heads" and "tails") are equally likely; the chance of "heads" equals the probability of "tails," and because no other outcomes are possible, the probability of either "heads" or "tails" is 1/2.

Probability of using the pool = 97/225 = 0.43

Probability that they do not use the swimming pool = 1 - 0.43 = 0.57

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Ashlee could make 2520 eight digit codes using the digits in her birthday .

In the question

it is given that

the birthdate of Ashlee is 09/08/1981.

So, the number of digits are 0,0,1,1,8,8,9,9  .

number of digits = 8

So, 8 digits can be arranged in 8! ways

8! = 8*7*6*5*4*3*2*1 = 40320

Repeating digits are

0 repeated 2 times = 2! = 2

1 repeated 2 times = 2! = 2

8 repeated 2 times = 2! = 2

9 repeated 2 times = 2! =2

So, the number of 8 digits codes is = 8!/(2!*2!*2!*2!)

= 8!/(2*2*2*2)

= 40320/16

= 2520

Therefore , Ashlee could make  2520 eight digit codes using the digits in her birthday .

The given question is incomplete , the complete question is

Ashlee was born on 09/08/1981. How many eight digit codes could she make using the digits in her birthday ?

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Answer:

The slope is 3/5 and the equation is:

Explanation:

Given the points (0,2) and (5, 5)

The slope of a line is the ratio of the difference between the y coordinates to the x coordinates. The x coordinates are 0 and 5, the y coordinates are 2 and 5.

The equation of a straight line is given as:

y = mx + b

Where m is the slope and b is the y-intercept

Using any of the given points, we can find b

Use (0, 2), with x = 0, y = 2

2 = (3/5)(0) + b

b = 2

Now the equation is:

The domain of a function is the set of values over the x-axis where it is defined on a coordinate plane.

From the image, notice that the given graph is defined whenever x is between -4 and 9. Therefore, the domain of the function is:

Answer:

it would be within the range of $0.77 <x< $0.78

Answer: B- interviewing college students to find what percentage expect a job immediately after graduation

Surveys are meant to collect data that can be used to analyze a population as ahwole. This option analyzes the perspective of college students as a whole, whereas option A only focuses on a minority group of elderly. Additionally, options C and D are moreso experiments and not surveys that can be applied on a larger scale.

Question 2

[tex]23=p \cdot 250[/tex]

Question 3

[tex]p=\frac{23}{250}=0.092[/tex]

Explanation

to figure out if a pair is a solution, just replace x and y values and check if the equation is true,then

Step 1

Step 2

Step 3

SOLUTION

This is a permutation problem.

a) To find the number of possible two digits codes

There are 30 possible two-digit codes pattern.

b) To find the number of three digits codes

There are 120 possible three-digit codes pattern.

Any other pattern can be calculated using

So to predict the number of possible five-digit codes will be:

There are 720 different possible five-digit codes

the answer of this question is 720 ways

From the situation described in this problem, it is found that:

A. The composite function is: f(s(w)) = 36w + 30.

B. The unit of measurement of the composite function is: flowers.

C. After 36 weeks, Daisy can expect to bloom 1326 flowers.

For a composite function, the output of the inner function serves as the input of the outer function.

In the context of this problem, the functions are given as follows:

Hence the composite function that represents how many flowers Daisy can expect to bloom over a certain number of weeks is:

f(s(w)) = f(12w) = 3(12w) + 30 = 36w + 30.

The unit of measurement of the composite function is the unit of the outer function, which is flowers.

After 36 weeks, the number of flowers that Daisy can expect to bloom is given as follows:

f(s(36)) = 36(36) + 30 = 1326 flowers.

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First we obtain each probability

The land has no oil

is a 45% chance that the land has oli , then the chance that the land has not oil is 55%

55% can be represented like 0.55

then the probability to the land has no oil is 0.55

The test shows that there is no oil

Kit claims to have an 80% of idicating oil, then the percent that there is no oil is 20%

20% can be represented like 0.2

the tne probability to shows that theere is no oil is 0.2

Finally

Multiply the probabilities to find the probability that say the land has no oil and the test shows that there is no oil

then irhg toption is B

Answer:

6

Explanation:

First, we find the squares of 5 and 6.

We conclude therefore that the square root of 31 is closer to 6 since it has a smaller difference.