Domain and range and function.
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Answer:

27.02% of boys aged 16 to 17 will not be able find shoes that fit in this​ store

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean of 25.5 centimeters and a standard deviation of 1.4 centimeters.

This means that [tex]\mu = 25.5, \sigma = 1.4[/tex]

These shoes will fit men with feet that are 24.6 to 28.8 centimeters long. What percentage of boys aged 16 to 17 will not be able find shoes that fit in this​ store?

Less than 24.6:

The proportion is the pvalue of Z when X = 24.6. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24.6 - 25.5}{1.4}[/tex]

[tex]Z = -0.64[/tex]

[tex]Z = -0.64[/tex] has a pvalue of 0.2611

More than 28.8:

The proportion is 1 subtracted by the pvalue of Z when X = 28.8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{28.8 - 25.5}{1.4}[/tex]

[tex]Z = 2.36[/tex]

[tex]Z = 2.36[/tex] has a pvalue of 0.9909

1 - 0.9909 = 0.0091

0.2611 + 0.0091 = 0.2702

0.2702*100% = 27.02%

27.02% of boys aged 16 to 17 will not be able find shoes that fit in this​ store

Answer:

$1200

Step-by-step explanation:

Answer:

d metamorphosis

Step-by-step explanation:

9514 1404 393

Answer:

  A)  JM = 30

  B)  x = 11

  C)  x = 18

Step-by-step explanation:

A) Chords the same distance from the circle center have the same length.

  KL = 2×15 = 30 = JM

__

B) Tangents from the same point have the same length.

  2x -14 = x -3

  x = 11 . . . . . . . . . add 14-x to both sides

__

C) No x is shown. We presume it is the length of the tangent segment. The product of lengths to the near and far circle intercepts is the same for both secants. A tangent is a degenerate secant having both intercepts at the same point.

  x² = 12(12 +15) = 324

  x = √324

  x = 18

Answer: He can buy 5 restaurant gift cards and 7 movie gift cards

Step-by-step explanation:

Answer:

The correct answer here is A. x = 17.

How I found this out:

3x + 3 and 5x - 7 are going to be different solutions in the end.  

I did the process of elimination.

First, I subsituted, 17 for x. 3 X 17 + 3 = 54. 5 X 17 - 7 = 78.

I then took 180 - 54 - 48 = 78 and 180 - 78 - 48 = 54, just to make sure they are positive numbers and not negative.

Since they work out, I chose this as my correct answer to your question.  

Step-by-step explanation:

Hope this helps! :)

I tried my best so I'm it's wrong.

Answer:

6^7

Step-by-step explanation:

6^8 x 6^-1

6^{8-1}

6^7

Answer:

Step-by-step explanation:

Answer:

This is your answer

Answer:

6h + 37

Step-by-step explanation:

=> 6(h + 6) + 1

=> 6h + 36 + 1

=> 6h + 37...ans

Answer:

10(7q + 6)

Step-by-step explanation:

I hope this helps!

Answer:

C I think

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

0.367 = 36.7% probability that the student gets fewer than 2 questions correct

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he guesses the correct answer, or he does not. The probability of guessing the correct answer on a question is independent of any other question. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

8 questions on it

This means that [tex]n = 8[/tex]

4 choices.

One of them is correct, which means that [tex]\pi = \frac{1}{4} = 0.25[/tex]

What is the probability that the student gets fewer than 2 questions correct?

This is

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.25)^{0}.(0.75)^{8} = 0.1[/tex]

[tex]P(X = 1) = C_{8,1}.(0.25)^{1}.(0.75)^{7} = 0.267[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.1 + 0.267 = 0.367[/tex]

0.367 = 36.7% probability that the student gets fewer than 2 questions correct

Answer:

A student takes a multiple-choice test with 8 questions on it, each of which has 4 choices. The student randomly guesses an answer to each question.

What is the probability that the student gets fewer than 2 questions correct?

Round to 3 decimal places.

0.367

Step-by-step explanation:

Answer: 53

Step-by-step explanation:

Hope this helps!

700 is the answer to your problem

Answer:

Circumference of circle = 31.42 ft.

Step-by-step explanation:

Given the following data;

Area of circle = 25π ft²

To find the circumference of the circle;

First of all, we would determine the value of its radius;

Area of circle =πr²

25π = πr²

r² = 25

Taking the square root of both sides, we have;

r = 5 ft.

Now, to find its circumference;

Circumference of circle = 2πr

Circumference of circle = 2π*5

Circumference of circle = 10π ft.

π = 3.142

10π = 10 * 3.142 = 31.42

Circumference of circle = 31.42 ft.

Answer:

I think it's A AND C. The diameter is just the radius multiplied by 2 at the end of the day.B is just wrong.

Answer:

for first one

√8²+4²=24

6²=36 not right angled triangle

so it is obtuse TRAINGLE

Step-by-step explanation:

for second one

it is acute TRAINGLE

Answer:

rectangles opposite sides are equal.

the diagonal of rectangle is hypotenuse of the right angle triangle.

30²+16²=x²

900+256=x²

1156=x²

1156½=x²

34=x

so, the fence need to be 34ft

Answer: Radius is always half of the diameter so the answer is 5

Step-by-step explanation:

Answer:

[tex]\frac{16}{152}[/tex]

[tex]\frac{15}{210}[/tex]

Step-by-step explanation:

Answer:

I think the answer might be 700.

Step-by-step explanation:

If you divide 1,750 and 5 it equals 350. Then I multiplied the 2 by 350. That got me 700. Hope this helps!

Answer:

2000mL=2L

Step-by-step explanation:

Answer:

Right square pyramid

Volume:

Surface area:

Step-by-step explanation:

the answer would be 26 and 10 because is you multiply 26×10 your answer will be 2600

Answer:

52 and 50

Step-by-step explanation:

Break it down into smaller numbers in this case 3 numbers.

26 * 10 * 10 = 2600

By multiplicative rule,

we can break 10 into 5 * 2,

giving 26 * 10 * 5 *2,

because multiplication is commutative and associative

group them up as (26 * 2) * (10 * 5) = ( 52 * 50) = 2600