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3 years ago

3 What is the y-intercept of the line perpendicular to the line y = -3/4x + 5 that includes the point (-3, –3)?

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

6 0

Answer:

y=4/3x-5

this is because perpendicular lines makes the slope the exact opposite. everything else stays the same

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Joe heard from a reliable source that only 22% of people actually sleep 8 hours or more per night. You do a survey and find 58 o

Juliette [100K]

Answer:

95% Confidence interval: (31.32%,47.04%)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 148

Number of people who sleep for 8 hours or longer, x = 58

$\hat{p} = \dfrac{x}{n} = \dfrac{58}{148} = 0.3918$

95% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting the values, we get:

$0.3918\pm 1.96(\sqrt{\dfrac{0.3918(1-0.3918)}{148}})\\\\ = 0.3918\pm 0.0786\\\\=(0.3132,0.4704)=(31.32\%,47.04\%)$

(31.32%,47.04%) is the required 95% confidence interval.

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3 years ago

The volleyball team is having a car wash fundraiser to buy new uniforms. They spent $25 on supplies and charge $8 for every car

Stella [2.4K]

About 38 cars. 300/8= 37.5 cars. There is no such thing as 0.5 of a car so round up to the nearest whole number.

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3 years ago

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What is the slope of the line in the graph below?

Ivahew [28]

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3 years ago

If you are measuring the amount of water evaporated from a swimming pool, would gallons or quarts give you a more precise measur

likoan [24]

Answer:

use quarts. it is more precise because it is an smaller measurement

Step-by-step explanation:

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3 years ago

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What is the equation of y = x^3 with the given transformations? Vertical stretch by a factor of 3, horizontal shift 4 units to t

givi [52]

Answer:

y = 3(x - 4)^3 - 3

Step-by-step explanation:

A vertical stretch factor 3 is given by 3x^3. Horizontal shift 4 to the right is given by 3(x - 4)^3. Finally we add -3 to this function to move it 3 units down.

Answer is y = 3(x- 4)^3 - 3

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3 years ago

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