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2 years ago

I need help with this math problem.

Mathematics

1 answer:

pogonyaev2 years ago

5 0

Answer:

(45,60)

Step-by-step explanation:

in a parallelogram, opposite angles are equal measure

2x-10 = y + 20

angles that lie on the same line add up to 180, since alternate angles of parallel lines and a transversal are equivalent

2x + 10 + 2x - 10 = 180

solving the equation with only Xs

4x = 180

x = 180/4 = 45

plug x = 45 into x and y equation

90-10 = y+ 20

80 = y + 20

y = 80-20 = 60

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Find the measure of each angle indicated.

Alexandra [31]

50 because 80+50+x=180 (inside triangle) x=130 180-130= 50 (angle outside triangle)

5 0

2 years ago

Suppose that the population of the scores of all high school seniors who took the SAT Math (SAT-M) test this year follows a Norm

Vlad1618 [11]

Answer:

Confidence = $1-\alpha=1-0.01=0.99$

And then the confidence level would be given by 99%

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma)$

The distribution for the sample mean is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\bar x =512$ represent the sample mean

$\sigma=100$ represent the population standard deviation

n= 100 sample size selected.

The confidence interval is given by this formula:

$\bar X \pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$ (1)

The marginof error for this case is given by Me=25.76. And we know that the formula for the margin of error is given by:

$Me=z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

$25.76=z_{\alpha/2} \frac{100}{\sqrt{100}}$

And we can find the critical value $z_{\alpha/2}$ like this:

$z_{\alpha/2}=\frac{25.76(\sqrt{100})}{100}=2.576$

And we know that on the right tail of the z score =2.576 we have $\alpha/2$ of the total area. We can find the area on the right of the z score using this excel code:

"=1-NORM.DIST(2.576,0,1,TRUE)" or using a table of the normal standard distribution, and we got 0.004998= $\alpha/2$ , so then $\alpha=0.00498*2=0.009995 \approx 0.01$ , and then we can find the confidence like this:

Confidence = $1-\alpha=1-0.01=0.99$

And then the confidence level would be given by 99%

8 0

2 years ago

What is the value of x?

vredina [299]

Answer:

x=30°

hopefully this answer can help you to answer the next question

6 0

2 years ago

2x = 17 is a linear function True False

xz_007 [3.2K]

Answer:

False

Step-by-step explanation:

a linear function is always in the form y=(f)x=bx+a

That means that there will not be one set answer and the line can be graphed. Your question is an equation, but not a linear one because there is only one set answer which would be 17/2=8.5.

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2 years ago

John asked 60 people to name their favourite fruit here are his results

LuckyWell [14K]

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