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mezya [45]
3 years ago
15

WILL GIVE BRAINLIEST AND THANKS. find the value of x

Mathematics
1 answer:
san4es73 [151]3 years ago
5 0

Answer:

180 - 36? I dont exactly remember how to do this

Step-by-step explanation:

Sorry if its not right

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The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $2.94. T
Anit [1.1K]

Answer:

a) 25

b) 67

c) 97

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. In this problem, \sigma = 0.25

(a) The desired margin of error is $0.10.

This is n when M = 0.1. So

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

0.1 = 1.96*\frac{0.25}{\sqrt{n}}

0.1\sqrt{n} = 1.96*0.25

\sqrt{n} = \frac{19.6*0.25}{0.1}

(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.1})^{2}

n = 24.01

Rounding up to the nearest whole number, 25.

(b) The desired margin of error is $0.06.

This is n when M = 0.06. So

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

0.06 = 1.96*\frac{0.25}{\sqrt{n}}

0.06\sqrt{n} = 1.96*0.25

\sqrt{n} = \frac{19.6*0.25}{0.06}

(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.06})^{2}

n = 66.7

Rounding up, 67

(c) The desired margin of error is $0.05.

This is n when M = 0.05. So

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

0.05 = 1.96*\frac{0.25}{\sqrt{n}}

0.05\sqrt{n} = 1.96*0.25

\sqrt{n} = \frac{19.6*0.25}{0.05}

(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.05})^{2}

n = 96.04

Rounding up, 97

8 0
3 years ago
How do I figure this out? Y = - ⅙ x -1
astra-53 [7]
Now the fraction is your slope, it determines where your point goes, in this equation you would move up 6 times and move left once because your slope is -1/6. Now your numerator is the one that moves right if it's positive or left if if's negative. Your denominator is the one that moves up if it's positive and down if it's negative. So you're either going up 6 times and moving left once and if you're plotting two points then you move down 6 times and right once, it's basically the reverse. Now the number on the very right is your y-intercept it's always on the y-axis and that's how you start your line. from there you use the slope and plot the two other points and then you connect the points. That's how you do it, hope this helps.

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Answer:

A) a+bi

Explanation:

Rectangular form of complex numbers is written as a+bi, where a and b are integers.

Rectangular form always has an integer piece, a, and a complex piece, bi.

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3 years ago
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