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2 years ago

Need to figure out y

Mathematics

2 answers:

Soloha48 [4]2 years ago

5 0

Y = 62 degrees
Because corresponding angles are equal.

Lera25 [3.4K]2 years ago

5 0

Answer:

62°

Step-by-step explanation:

y is 62° because the horizontal lines are parallel and a line segment cutting any parallel line will cut the parallel with same angle. since z is being cut at 62°, so, y will be also 62°

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According to the graph, what is the experimental probability of selecting the letter C?

Zielflug [23.3K]

Answer:

16%

Step-by-step explanation:

50 events and C shows 8

50/8 = 16%

4 0

2 years ago

Read 2 more answers

If you want to be 95% confident of estimating the population mean to within a sampling error of plus or minus3 and the standard

Aleksandr [31]

Answer:

The sample size required is at least 171

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

What sample size is required?

A samle size of at least n is required, in which n is found when $M = 3, \sigma = 20$

$M = z*\frac{\sigma}{\sqrt{n}}$

$3 = 1.96*\frac{20}{\sqrt{n}}$

$3\sqrt{n} = 20*1.96$

$\sqrt{n} = \frac{20*1.96}{3}$

$(\sqrt{n})^{2} = (\frac{20*1.96}{3})^{2}$

$n = 170.7$

Rouding up

The sample size required is at least 171

5 0

2 years ago

Suppose in this semester, our Exam 1 average was about 86 with an SD of about 10. Suppose the correlation between our Exam 1 and

Oduvanchick [21]

Answer:

the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores is 0.492

And the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 is 33.688

Step-by-step explanation:

Given the data in the question;

mean X" = 86

SD σx = 10

Y" = 76

SD σy = 8.2

r = 0.6

Here, Exam 2 is dependent and Exam 1 is independent.

The Regression equation is

y - Y" = r × σy/σx ( x - x" )

we substitute

y - 76 = 0.6 × 8.2/10 ( x - 86 )

y - 76 = 0.492( x - 86 )

y - 76 = 0.492x - 42.312

y = 0.492x - 42.312 + 76

y = 0.492x + 33.688

Hence, the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores is 0.492

And the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 is 33.688

4 0

3 years ago

A bag contains 5red balls and 8 blue balls, it also contains 4 green and 7 black balls is drawn at random. Then find the probabi

Lunna [17]

80% of the balls are not green. First, you must add the total amount of balls. 5+8+4+7 = 20. Since the problem says that they are 4 green balls, you must subtract 20-4. This is because you are trying to find the probability of balls that are not green. 20-4 = 16, so convert this to 16/20. To make 16/20 into a percentage, (because you’re finding the probability) you must multiply the fraction by 5/5. Once you do that, you will get 80/100. Therefore, 80% of the total amount of balls are not green.

5 0

3 years ago

Read 2 more answers

What is 2/3 of 66 and the method

Maksim231197 [3]

The method of finding 2\3 of a number is by multiplying it by the 2 and dividing it by the 3! For example: 66x2=132 132÷3=44 So 2\3 of 66 = 44

6 0

3 years ago