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Lady_Fox [76]
2 years ago
5

Let ƒ(x) = 5x − l and g(x) = x2 - 1. find (f ○ g)(−7)

Mathematics
1 answer:
attashe74 [19]2 years ago
4 0

Answer:

240

Step-by-step explanation:

5(x² - 1)

5 ((-7)² - 1)

5(49 - 1)

5 (48)

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A random sample of n = 45 observations from a quantitative population produced a mean x = 2.5 and a standard deviation s = 0.26.
oee [108]

Answer:

P-value (t=2.58) = 0.0066.

Note: as we are using the sample standard deviation, a t-statistic is appropiate instead os a z-statistic.

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the population mean μ exceeds 2.4.

Then, the null and alternative hypothesis are:

H_0: \mu=2.4\\\\H_a:\mu> 2.4

The significance level is 0.05.

The sample has a size n=45.

The sample mean is M=2.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.26.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.26}{\sqrt{45}}=0.0388

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2.5-2.4}{0.0388}=\dfrac{0.1}{0.0388}=2.58

The degrees of freedom for this sample size are:

df=n-1=45-1=44

This test is a right-tailed test, with 44 degrees of freedom and t=2.58, so the P-value for this test is calculated as (using a t-table):

P-value=P(t>2.5801)=0.0066

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

7 0
3 years ago
Class 324 went apple picking and collected 64
garri49 [273]

Answer:

8 bags of apples

Step-by-step explanation:

first you do 64 apples divided by 8 bags

then you would get the answer of 8 bags of apples given to 8 different teachers

4 0
3 years ago
I need help!!!please tell me the answer!!!
Misha Larkins [42]
Sorry wanna points bfbdjudi
4 0
3 years ago
Find the perimeter. use 3.14 for pi
Mamont248 [21]

Answer: 27.42 units

Step-by-step explanation:

6 + 6 + 6 = 18

C= 1/2 3.14d

1/2 x 3.14 x 6

3.14 x 3

=9.42

18+9.42 = 27.41

4 0
2 years ago
100 5 90 10 80 15 70 next term in the sequence?
max2010maxim [7]

Answer:

20

Step-by-step explanation:

6 0
3 years ago
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