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siniylev [52]
3 years ago
7

If f(x) =2x and g(x) = cos(x) then g(f(π/2)) = ? Number 2 in picture

Mathematics
1 answer:
Romashka [77]3 years ago
6 0

Answer:

(4) -1.

Step-by-step explanation:

First evaluate f(π/2) which is 2 * π/2 = π.

So g(f(π/2)) = g(π)

= cos π

= -1.

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A matched pairs experiment compares the taste of instant versus fresh-brewed coffee. Each subject tastes two unmarked cups of co
Bogdan [553]

Answer:

We conclude that the majority of people prefer the taste of fresh-brewed coffee.

Step-by-step explanation:

We are given that of the 50 subjects who participate in the study, 16 prefer the instant coffee.

We have to test the claim that a majority of people prefer the taste of fresh-brewed coffee.

<em />

<u><em>Let p = proportion of the population who prefer fresh-brewed coffee</em></u>

So, Null Hypothesis, H_0 : p \leq 50%     {means that the majority of people does not prefer the taste of fresh-brewed coffee}

Alternate Hypothesis, H_A : p > 50%     {means that the majority of people prefer the taste of fresh-brewed coffee}

The test statistics that would be used here <u>One-sample z proportion statistics;</u>

                        T.S. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion who prefer fresh-brewed coffee = \frac{34}{50} = 0.68

            n = sample of subjects = 50

So, <u><em>test statistics</em></u>  =  \frac{0.68-0.50}{\sqrt{\frac{0.68(1-0.68)}{50} } }  

                               =  2.73

The value of z test statistics is 2.73.

<u>Now, P-value of the test statistics is given by;</u>

         P-value = P(Z > 2.73) = 1 - P(Z \leq 2.73)

                       = 1 - 0.99683 = 0.0032

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the z table gives critical values of 1.645 for right-tailed test.

<em>Since our test statistics is more than the critical value of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><u><em>we reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the majority of people prefer the taste of fresh-brewed coffee.

4 0
3 years ago
6) Lynn wrote two integers on the chalkboard. The integers she wrote were 45 and -17. What is
lana [24]
45+-17
This is the same as subtracting 17 from 45
45-17=28
8 0
3 years ago
PLEASE HELP I AM BEGGING YOU!!! I WILL GIVE BRAINLIEST AND EXTRA POINTS PLEASEEEEEEEEEEEEEEEEEE!!!!!!!
san4es73 [151]

Answer:

1. 31

2. -40

3. 28.5

4. 75

5. 6

6. -24

7. -34

8. 68

9. 8

10. 26

Step-by-step explanation:

I tried to do the best I can I hope this helps! :))

4 0
3 years ago
Find a number such that 7 times the number is 56 greater than the opposite of the number.
Elenna [48]

Answer:

hey your answer can be 10 because the oppisite of 56 is 65 and 7x 10 is 70

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Tamara texted a photo of a dolphin to 5 friends. She asked each of her 5 friends to text the photo to 5 more friends. The photo
Andreyy89
So 5
then 5 times 5
then 5 times 5 times 5
so it seems that for x rounds, there will be 5^x 

A: 4 rounds so 5^4=625 photos
B. see how many times 5 goes into 78125. the answer is 7 so 7 rounds
C. 1 million=1,000,000 so try big numbers
5^10=9,765,625 too big
5^9=1,9,53,125 too big
5^8=390625 too small
the minimum is 5^9 or 9 rounds

A:4
B:7
C:9

4 0
2 years ago
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