Find all the unknown angle measures in the diagram

X = 7 + 3y

pogonyaev

<h3>Given Equation:</h3>

x = 7 + 3y

or, x - 3y - 7 = 0 ........ (i)

5x + 6y = 14

or, 5x + 6y - 14 = 0 .........(ii)

The value of x and y.

<h3>Solution:</h3>

By dividing eq. ii by 2, we get

5/2x + 3y - 7 = 0 ........ (iii)

By adding eq. i and eq. iii, we get

15/2x = 0

or, <u>x = 0</u> ........(iv)

By putting eq.(iv) in eq. (i), we get

0 - 3y - 7 = 0

or, -3y = 7

or, <u>y = </u><u>-</u><u>7/</u><u>3</u>

<h2>Answer: ( 0, -7/3 )</h2>

The value of x and y is 0 and -7/3 respectively.

5 0

3 years ago

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A random sample of 150 men found that 88 of the men excercise regularly, while a random sample 200 women found that 130 of the w

melamori03 [73]

Answer:

The hypothesis is:

<em>H₀</em>: $p_{X}-p_{Y}=0$ .

<em>Hₐ</em>: $p_{X}-p_{Y}$ .

Step-by-step explanation:

Let <em>X</em> = number of men who exercise regularly and <em>Y</em> = number of women who exercise regularly.

The information provided is:

$n_{X}=150\\X=88\\n_{Y}=200\\Y=130$

Compute the sample proportion of men and women who exercise regularly as follows:

$\hat p_{X}=\frac{X}{n_{X}}=\frac{88}{150}=0.587$

$\hat p_{Y}=\frac{Y}{n_{Y}}=\frac{130}{200}=0.65$

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 150 and $\hat p_{X}=0.587$ .

The random variable <em>Y</em> also follows a Binomial distribution with parameters <em>n</em> = 200 and $\hat p_{Y}=0.65$ .

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\hat p=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{\hat p(1-\hat p)}{n}}$

So, the sampling distribution of the proportion of men and women who exercise regularly follows a Normal distribution.

A two proportion <em>z</em>-test cab be performed to determine whether the proportion of women is more than men who exercise regularly.

The hypothesis for this test cab be defined as:

<em>H₀</em>: The proportion of women is same as men who exercise regularly, i.e. $p_{X}-p_{Y}=0$ .

<em>Hₐ</em>: The proportion of women is more than men who exercise regularly, i.e. $p_{X}-p_{Y}$ .

6 0

3 years ago

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If q/18 = 5 what does q = to

qaws [65]

Answer:

Q= 90

Step-by-step explanation:

To do this problem you need to get q by itself and to do that you would move the 18 over

When you move the 18 over however you need to multiply and you will get 90

When ever you want to get a variable by itself always remember to switch the sign so if it was positive then switch it to negative and vice versa. It will also apply to multiplication and division just like this one

7 0

3 years ago

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Please help me!!! I will try to mark brainliest if the answer is correct!

netineya [11]

Answer:

I think the first is answer bcz 35+55=90 ..... 180-90=90

5 0

3 years ago

What operation would you we to convert cups to gallon explain

UkoKoshka [18]

We'd divide.

This is because:

Gallons are much more than cups. If we cant to convert cups to gallons, we divide to get a smaller unit.

Example: There are 32 cups on the table. How many gallons are there?

32/amount of cups per gallon
32/16 = 2

2 gallons,

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3 years ago

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