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docker41 [41]
4 years ago
11

Problem Page A line passes through the point , (6,−6) and has a slope of 32 . Write an equation in point-slope form for this lin

e.
Mathematics
1 answer:
Vera_Pavlovna [14]4 years ago
4 0
Y-y1=m(x-x1)
y+6=32(x-6)
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Solve for x . Please help !
11111nata11111 [884]

Answer:

x = 12.489996 ft

Step-by-step explanation:

In order to solve one side length of a right triangle given two of other side lengths, you can use the pythagorean theory.

The theory states that the sum of the two adjacent side squares equals the square of the hypotenuse.

Basically:

x^2 + y^2 = h^2

Since the problem gives you the hypotenuse and one adjacent side length you rearrange the formula as so:

x^2 = h^2 - y^2

x=\sqrt{h^2 - y^2}

Then plug in the values:

x = \sqrt{16^2 - 10^2} = \sqrt{256-100}=\sqrt{156} = 2\sqrt{39}=12.489996

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3 years ago
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Answer:

You must test a sample size of at least 514 Americans.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

M = z\sqrt{\frac{\pi(1-\pi)}{n}} is the margin of error.

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.

We have that:

M = 0.03, \pi = 0.14

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.14*0.86}{n}}

0.03\sqrt{n} = 0.68

\sqrt{n} = 22.67

n = 513.92

You must test a sample size of at least 514 Americans.

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3 years ago
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the answer of 2x +y = 20 ;  6x -5y =12

{ explained in image}

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1. A high school is having a can food drive.
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Answer: I'm sorry I need to answer a question to get 5 points.

Step-by-step explanation: njgnt4jgnjk4tbvhkt4hjbn

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