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3 years ago

What is the value of y for the parallelogram shown?

Mathematics

2 answers:

Furkat [3]3 years ago

5 0

Vertical angles are always congruent so it would be 22

dybincka [34]3 years ago

3 0

Opposite angles in a parallelogram have to be equal so

3y=66
y=22

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Write 600 as the product of prime factors.<br>Give your answer in index form.<br>

MAXImum [283]

Answer:

2^3 x 3 x 5^2

Step-by-step explanation:

600/2

300/2

150/2

75/3

25/5

5/5

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What is 11/15 divided by 1/5

coldgirl [10]

Answer: 11/3 or 3 2/3

Step-by-step explanation:

Simple to do this as the 11 and 15 can be simplified as 1 goes in 11... 11 times and 5 goes into 15... 3 times. Thus 11/3.

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Zinaida [17]

Answer:

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3 years ago

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Consider the following hypothesis test. : : The following results are for two independent samples taken from two populations. Ex

I am Lyosha [343]

Answer:

$z = -1.53$ --- test statistic

$p = 0.1260$ --- p value

Conclusion: Fail to reject the null hypothesis.

Step-by-step explanation:

Given

$n_1 = 80$ $\bar x_1= 104$ $\sigma_1 = 8.4$

$n_2 = 70$ $\bar x_2 = 106$ $\sigma_2 = 7.6$

$H_o: \mu_1 - \mu_2 = 0$ --- Null hypothesis

$H_a: \mu_1 - \mu_2 \ne 0$ ---- Alternate hypothesis

$\alpha = 0.05$

Solving (a): The test statistic

This is calculated as:

$z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}$

So, we have:

$z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}$

$z = \frac{104 - 106}{\sqrt{\frac{70.56}{80} + \frac{57.76}{70}}}$

$z = \frac{-2}{\sqrt{0.8820 + 0.8251}}$

$z = \frac{-2}{\sqrt{1.7071}}$

$z = \frac{-2}{1.3066}$

$z = -1.53$

Solving (b): The p value

This is calculated as:

$p = 2 * P(Z < z)$

So, we have:

$p = 2 * P(Z < -1.53)$

Look up the z probability in the z score table. So, the expression becomes

$p = 2 * 0.0630$

$p = 0.1260$

Solving (c): With $\alpha = 0.05$ , what is the conclusion based on the p value

We have:

$\alpha = 0.05$

In (b), we have:

$p = 0.1260$

By comparison:

$p > \alpha$

i.e.

$0.1260 > 0.05$

So, we fail to reject the null hypothesis.

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2 years ago

With a fair die, the probability of rolling any number 1 through 6 is the same.

yaroslaw [1]

The probability of all possible outcomes is always 1, meaning 100%.

In this case the probability of rolling a 1,2,3,4,5, or 6 is:

1/6+1/6+1/6+1/6+1/6+1/6

6(1/6)

6/6

1

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3 years ago

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