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2 years ago

In the function y-1 = (4x)² + 7, what effect does the number 4 have on

Mathematics

1 answer:

bija089 [108]2 years ago

8 0

Answer:

D. It shrinks the graph horizontally to 1/4 the original width.

Step-by-step explanation:

f(px): |p|>1 horizontal compression (x,y) -> (x/p , y)

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Model with mathematics. Hamid has read 60 pages of the book

vagabundo [1.1K]

Answer:

Hamid will take 8 hours and 20 minutes to read 375 pages of the book.

Step-by-step explanation:

Given that Hamid has read 60 pages of the book he will be using for a book report, if he reads 45 pages per hour, to determine how many hours will it take him to read at least 375 pages of the book the following calculation must be done:

375/45 = X

8.3333 = X

0.333 x 60 = 20

Thus, Hamid will take 8 hours and 20 minutes to read 375 pages of the book.

8 0

2 years ago

Statistics professors believe the average number of headaches per semester for all students is more than 18. From a random sampl

kompoz [17]

Complete Question

Statistics professors believe the average number of headaches per semester for all students is more than 18. From a random sample of 15 students, the professors find the mean number of headaches is 19 and the standard deviation is 1.7. Assume the population distribution of number of headaches is normal.the correct conclusion at $\alpha =0.001$ is?

Answer:

There is no sufficient evidence to support the professor believe

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 18$

The sample size is $n = 15$

The sample mean is $\= x = 19$

The standard deviation is $\sigma = 1.7$

The level of significance is $\alpha = 0.001$

The null hypothesis is $H_o: \mu = 18$

The alternative hypothesis is $H_a : \mu > 18$

The critical value of the level of significance from the normal distribution table is

$Z_{\alpha } = 3.290527$

The test hypothesis is mathematically represented as

$t = \frac{\= x - \mu }{ \frac{\sigma}{ \sqrt{n} } }$

substituting values

$t = \frac{ 19 - 18}{ \frac{1.7}{ \sqrt{15} } }$

$t = 2.28$

Looking at the value of t and $Z_{\alpha }$ we can see that $t < Z_{\alpha }$ so we fail to reject the null hypothesis.

This mean that there is no sufficient evidence to support the professor believe

3 0

3 years ago

ANSWER>> DETERMINE THE RANGE OF THE FUNCTION.

olga2289 [7]

Answer:

Step-by-step explanation:

When the function or the coefficient in this case 1/4x^2 is positive it means it's opening up like a u, meaning all the values will be bigger than the C term or -5 in this case.

6 0

3 years ago

Read 2 more answers

How many different 5-letter radio station call letters can be made a. if the first letter must be Upper C comma Upper X comma U

Lady_Fox [76]

Answer:

a) 1,518,000

b) 2,284,880

c) 60,720

Step-by-step explanation:

a) a. if the first letter must be Upper C comma Upper X comma Upper T comma or Upper M and no letter may be repeated?

We draw 5 boxes, and based on that we will see the total possible cases. There are 26 alphabets

The first box should have C or X or T or M .No letter may be repeated.

Any Any Any Any Any

5 alphabets of the of the of the of the

C,X , T , M remaining remaining remaining remaining

25 alphabets 24 alphabets 23 alphabets 22 alphabets

Therefore; total possible call letters = 5 × 25 × 24 × 23 × 22 = 1,518,000

The first box should have C or X or T or M Repeats as allowed

Any Any Any Any Any

5 alphabets of the of the of the of the

C,X , T , M remaining remaining remaining remaining

26 alphabets 26 alphabets 26 alphabets 26 alphabets

Therefore Total possible call letters = 5 × 26 × 26 × 26 × 26 = 2,284,880

c) The first box should have C,X , T , M and end with S

So the last place if fixed, and we now have 25 alphabets. The first box can go in 5 ways. The next box then will have only 24 letters to choose from, as the first box has taken a letter and the last box already has S in it. Repetition not allowed

Any Any Any Any S

5 alphabets of the of the of the is fixed

C,X , T , M remaining remaining remaining here

24 alphabets 23 alphabets 22 alphabets

Therefore Total possible call letters = 5 × 24 × 23 × 22 × 1 = 60,720

3 0

3 years ago

Grandma uses 2/3 of a pumpkin to make a pumpkin pie. How many pumpkins should she buy to make 4 pumpkin pies?

Pachacha [2.7K]

she needs to use 8/12 of pumpkins

4 0

2 years ago