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3 years ago

Can someone answer number 5 plz

Mathematics

1 answer:

Georgia [21]3 years ago

5 0

Answer:

C) 113 m^2

Step-by-step explanation:

diameter/2 =radius = 12/2 = 6

area = 6^2(3.14) = 6x6x3.14 = 113 m^2

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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

Can u help me I dont know

maks197457 [2]

I think it's a Rhombus because a rhombus has four sides of the same length.

4 0

3 years ago

The difference of p and 4

Iteru [2.4K]

Difference Means subtraction

p-4

4-p

There is a unlike term [p] and 4.So we can't subtract.
We can only subtract when there is p and 4p(4p-p).Answer would be 3 p.

5 0

2 years ago

A quilt is 72 inches wide and 96 inches long. If the quilt has no border or sashing and the blocks have 4 inch sides, how many b

Bingel [31]

There are 18 blocks across width and 48 blocks run up and down the length of quilt.

Solution:

Given, A quilt is 72 inches wide and 96 inches long.

The blocks have 4 inch sides

Finding number of blocks run across the width of quilt:

$\text { number of blocks across width }=\frac{\text { width of quilt }}{\text { length of each block }}$

$=\frac{72}{4}=18 \text { blocks }$

Finding number of blocks run across length:

$\text { number of blocks across length }=\frac{\text { length of quilt }}{\text { width of each block }}$

$=\frac{96}{4}=24 \text { blocks. }$

Finding number of blocks run up and down the length of the quilt:

$\text { number of blocks run up and down }=2 \times \text { number of blocks across length }$

$=2 \times 24=48 \text { blocks }$

Hence, there are 18 blocks across width and 48 blocks run up and down the length of quilt

7 0

4 years ago

Suppose c and d vary inversely, and d = 2 when c = 17.

sergejj [24]

Answer and Step-by-step explanation:

$Greetings!$

$I'm~here~to~answer~your~question!$

$\bold{NOTE:}~We~ can ~say~ that ~two ~variables~ are~ inversely ~proportional ~to ~each` other\\ when ~when ~the ~quantity ~of ~one ~decreases, ~the ~quantity ~of~ the~ other\\ increases.~ For~ example, ~when ~the ~speed ~increases, ~the ~time ~to~ complete\\ a ~trip ~decreases.$