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3 years ago

How did the first line get to the second line??? (Check Picture)

Mathematics

1 answer:

ddd [48]3 years ago

8 0

Step-by-step explanation:

$15( \frac{11\pi}{6} ) \\ 15 \div 3 = 5 \\ 6 \div 3 = 2 \\ = 5( \frac{11\pi}{2} )$

$11 \times 5 \\ = \frac{55\pi}{2}$

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Solve for y.<br> 8+4y= -8

Andrew [12]

Answer:

-4

Step-by-step explanation:

8+4y= -8

4y= -8 -8

4y= -16

divide both sides by the coeffient of the variable. in this case divide both sides by 4

y=-4

7 0

3 years ago

Read 2 more answers

Please Help! Multiple Choice!

Katyanochek1 [597]

Using the z-distribution, the p-value would be given as follows:

b) 0.0086.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis we test if the means are equal, hence:

$H_0: \mu_D - \mu_C = 0$

At the alternative hypothesis, it is tested if they are different, hence:

$H_1: \mu_D - \mu_C \neq 0$

<h3>What are the mean and the standard error for the distribution of differences?</h3>

For each sample, they are given as follows:

$\mu_D = 12, s_D = \frac{5.2}{\sqrt{73}} = 0.6086$

$\mu_C = 14, s_C = \frac{4.1}{\sqrt{81}} = 0.4556$

Hence, for the distribution of differences, they are given by:

$\overline{x} = 12 - 14 = -2$ .

$s = \sqrt{0.6086^2 + 0.4556^2} = 0.76$

<h3>What is the test statistic?</h3>

The test statistic is given by:

$z = \frac{\overline{x} - \mu}{s}$

In which $\mu = 0$ is the value tested at the null hypothesis.

Hence:

$z = \frac{\overline{x} - \mu}{s}$

$z = \frac{-2 - 0}{0.76}$

z = -2.63.

Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.

Hence option B is correct.

More can be learned about the z-distribution at brainly.com/question/13873630

#SPJ1

4 0

2 years ago

It takes 5 days to repair 1,250 meters of road. At this rate, how many days will it take to repair 8 kilometers of road?

dolphi86 [110]

Answer :

no. of days used to repair 1250m of road = 5

no. of days used to repair 1m of road = 5/1250

no. of days used to repair 8000m of road (8*1000m ) = 5/1250*8000= 32 days

6 0

3 years ago

Read 2 more answers

When obtaining a confidence interval for a population mean in the case of a finite population of size N and a sample size n whic

Elanso [62]

Answer:

95% Confidence interval for the mean

$142.8 \leq\mu\leq158.4$

Step-by-step explanation:

We have to calculate a 95% confidence interval for the mean of a finite population.

The error is multiplied by the following finite population correction factor:

$cf=\sqrt{\frac{N-n}{N-1} }$

The standard deviation can be estimated as

$\sigma=\frac{s}{\sqrt{n}} \sqrt{\frac{N-n}{N-1} } =\frac{24.4}{\sqrt{32} }* \sqrt{\frac{200-32}{200-1} }=3.963$

The 95% confidence interval has a z value of 1.96, so it becomes:

$M-z*\sigma_c\leq\mu\leq M+z*\sigma_c\\\\150.6-1.96*3.963\leq\mu\leq 150.6+1.96*3.963\\\\ 142.8 \leq\mu\leq 158.4$

5 0

3 years ago

Which relationships are likely to have a positive association? .

uysha [10]

Answer:

A, C

Step-by-step explanation:

A. the distance traveled on a trip and the travel time YES

B. the distance remaining on a trip and the travel time NO

C. the amount of money spent and the the number of shirts bought YES

D. the height of an eighth-grade student and the time to complete a puzzle NO

E. the amount of money owed on a computer and the time making payments NO (the amount of money owed drops with each payment made)

7 0

3 years ago