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3 years ago

8

What is the area rounded to the nearest square centimeter

2 answers:

77julia77 [94]3 years ago

6 0

138cm is my answer that I came up with

xz_007 [3.2K]3 years ago

3 0

This is a kite. We can split it into 2 equal triangles.

Length = 42.7 + 22.5 = 65.2cm
Height = 16.3 cm

Area of triangle = 1/2 x base x height

2 Area of triangles = 2( 1/2 x 65.2 x 16.3) = 1063 cm² (nearest cm)

Answer: 1063 cm² (Answer B)

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o-na [289]

Answer:

$p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459$

b. between .025 and .05

Step-by-step explanation:

Previous concepts and notation

The chi-square test is used to check if the standard deviation of a population is equal to a specified value. We can conduct the test "two-sided test or a one-sided test".

$\bar X$ represent the sample mean

n = 30 sample size

s= 0.2 represent the sample deviation

$\sigma_o =\sqrt{0.027}=0.164$ the value that we want to test

$p_v$ represent the p value for the test

t represent the statistic

$\alpha=$ significance level

State the null and alternative hypothesis

On this case we want to check if the population standard deviation is less than 0.027, so the system of hypothesis are:

H0: $\sigma \leq 0.027$

H1: $\sigma >0.027$

In order to check the hypothesis we need to calculate the statistic given by the following formula:

$t=(n-1) [\frac{s}{\sigma_o}]^2$

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

$t=(30-1) [\frac{0.2}{0.164}]^2 =42.963$

What is the approximate p-value of the test?

The degrees of freedom are given by:

$df=n-1= 30-1=29$

For this case since we have a right tailed test the p value is given by:

$p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459$

And the best option would be:

b. between .025 and .05

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3 years ago

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iogann1982 [59]

Answer:

The answer is option C

Step-by-step explanation:

sin C = opposite / hypotenuse

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the Hypotenuse is 50

so

sin C = 40/50 = 4/5

Hope this helps you

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3 years ago

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Harman [31]

Answer:

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Step-by-step explanation:

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