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torisob [31]
2 years ago
5

SOMEBODY PLEASE HELP ME

Mathematics
2 answers:
Ber [7]2 years ago
5 0

by Pythagoras theorem,

hypotenuse² = base² + adjacent²

x² = 7² + 11²

x² = 49 + 121

x² = 170

x = √170

x = 13.03

x = 13(round fig)

hope it helps...!!!

In-s [12.5K]2 years ago
4 0
A^2 + B^2 = C^2

7^2 + 11^2 = C^2

49 + 121 = C^2

170 = C^2

Root 170 = line bc
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According to the U.S. Bureau of the Census, the average age of brides marrying for the first time is 23.9 years with a populatio
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We conclude that young women are delaying marriage and marrying at a later age.

Step-by-step explanation:

We are given that the average age of brides marrying for the first time is 23.9 years with a population standard deviation of 4.2 years.

The sociologist randomly samples 100 marriage records and determines the average age of the first time brides is 24.9 years.

Let \mu = <u><em>average age of brides marrying for the first time.</em></u>

So, Null Hypothesis, H_0 : \mu = 23.9 years     {means that young women are not delaying marriage and marrying at a later age}

Alternate Hypothesis, H_A : \mu > 23.9 years     {means that young women are delaying marriage and marrying at a later age}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                         T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample average age of the first time brides = 24.9 years

            \sigma = population standard deviation = 4.2 years

            n = sample of marriage records = 100

So, <u><em>the test statistics</em></u>  =  \frac{24.9-23.9}{\frac{4.2}{\sqrt{100} } }

                                     =  2.381

The value of z test statistics is 2.381.

<u>Now, at 1% significance level the z table gives critical value of and 2.326 for right-tailed test.</u>

Since our test statistic is more than the critical value of z as 2.381 > 2.326, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that young women are delaying marriage and marrying at a later age.

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3 years ago
When G(2,-6) is reflected in the line y = -2, the image is located at G |
Mkey [24]

Answer:

The point (2, -6) is four below the line y= -2

The reflection will be four below the line y=-2.

Since y=-2 is a horizontal line, the reflection will be vertical,

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(2,-6) reflected over y=-2 reflects to (2, 2 )

Step-by-step explanation:

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