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2 years ago

What is the value of x?

Mathematics

1 answer:

romanna [79]2 years ago

5 0

Answer:

x = 8°

y = 6°

Step-by-step explanation:

Hello!

All 3 sides of the triangle are equal, indicating that it is an equilateral triangle. The rules of this particular triangle say that all angles are equal to 60°.

We can solve for x by setting the equation 7x+4 to 60.

<h3>Solve for x</h3>

7x + 4° = 60°
7x° = 56°
x = 8°

The value of x is 8°.

We can go ahead and solve for y by setting that equation to 60°.

<h3>Solve for y</h3>

8y + 12° = 60°
8y = 48°
y = 6°

The value of y is 6°.

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2 years ago

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2 years ago

A survey of 200 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take

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Answer:

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Step-by-step explanation:

The (1 - α)% confidence interval for population proportion P is:

$CI=p\pm z_{\alpha/2}\sqrt{\frac{p(1- p)}{n}}$

The information provided is:

x = number of students who responded as"yes" = 70

n = sample size = 200

Confidence level = 95%

The formula to compute the sample proportion is:

$p=\frac{x}{n}$

The R codes for the construction of the 95% confidence interval is:

> x=70

> n=200

> p=x/n

> p

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> s=sqrt((p*(1-p))/n)

> s

[1] 0.03372684

> E=qnorm(0.975)*s

> lower=p-E

> upper=p+E

> lower

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> upper

[1] 0.4161034

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