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vovangra [49]
2 years ago
13

What is the equation in slope-intercept form of a line that is perpendicular to y=1/4x−1 and passes through the point (4, 1)?

Mathematics
2 answers:
wolverine [178]2 years ago
7 0
Y=4x-15

This line passes through (4,1) and is perpendicular to y=1/4x-1
Harlamova29_29 [7]2 years ago
4 0

Answer:

y = -4x + 17

Step-by-step explanation:

Slope of the perpendicular line: -4

(4,1)

y-intercept: 1 - (-4)(4)

= 1+16 = 17

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Answer: B. 264

Step-by-step explanation:

Formula to calculate the sample size 'n' , if the prior estimate of the population proportion (p) is available:

n= p(1-p)(\dfrac{z}{E})^2

, where z = Critical z-value corresponds to the given confidence interval

E=  margin of error

Let p be the population proportion of clear days.

As per given , we have

Prior sample size : n= 150

Number of clear days in that sample = 117

Prior estimate of the population proportion of clear days = p=\dfrac{117}{150}

E= 0.05

The critical z-value corresponding to 95% confidence interval = z*= 1.95 (By z-table)

Then, the required sample size will be :

n= \dfrac{117}{150}(1-\dfrac{117}{150})(\dfrac{1.96}{0.05})^2

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n= (0.1716)(39.2)^2

n= 263.687424\approx264

Hence, the sample size necessary to construct this interval =264

Thus the correct option is B. 264

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Which value represents a percentage between 12% and 19%?
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An architect is designing a sandwich shop, as shown in the
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Both rooms have the same length but different areas and different widths. This common measurement can be found using the GFC or the greatest common factor. To do this, divide each number by 1,2,3, etc., and find the greatest common number (only integers are valid).

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The greatest common number is 10, so 10 meters is the length of the room.

<h3>How to find the width?</h3>

Use the formula

  • A = lenght x width or width = area / lenght

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  • Width: 5 meters

Dining room:

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Note: In this question the diagram is missing; below, I attach the diagram.

Learn more about greatest common factor in: brainly.com/question/282609

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