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Lady bird [3.3K]
3 years ago
7

What is the slope of the line that passes through the points (−10,−4) and (10, -29)?

Mathematics
1 answer:
OleMash [197]3 years ago
3 0

Answer:

slope= - 5/4

Step-by-step explanation:

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The perimeter Of a rectangle is 30 inches if it’s Lance is three times it’s width find the dimensions.
Marat540 [252]

Answer:

Width: 3.75

Length: 11.25

7 0
3 years ago
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A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A. We are interested in determining wh
mafiozo [28]

Answer:

a. 1.44

Step-by-step explanation:

We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.

At the null hypothesis, it is tested if the proportion is of at most 40%, that is:

H_0: p \leq 0.4

At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:

H_1: p > 0.4

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that p = 0.4, \sigma = \sqrt{0.4*0.6}

A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A.

This means that:

n = 200, X = \frac{90}{200} = 0.45

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.45 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}

z = 1.44

Thus the correct answer is given by option a.

8 0
3 years ago
Can someone help me answe this last quiz thank you
nlexa [21]

Answer:

225

Step-by-step explanation:

5^2 * 3^2

(5 * 5) * (3 * 3)

25 * 9

225

6 0
3 years ago
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Marge drive 290 miles in five hours. Three hours were on the interstate, then the remainder of the trip was on a road that cause
vivado [14]

Marge drove by 66 miles per hour on the interstate

Step-by-step explanation:

Marge drive 290 miles in five hours, her trip has two stages

  1. She drove 3 hours on the interstate
  2. The remainder of the trip was on a road that caused her to reduce her speed by 20 mph

We need to find how fast Marge drove on the interstate

Assume that she drove by speed x miles per hour on interstate

∵ Distance = speed × time

∵ Her speed on the interstate is x mph

∵ The time of interstate is 3 hours

∴ The distance of interstate = x × 3 = 3x miles

∵ The time of the total trip is 5 hours

∵ She spent 3 hours on the interstate

∴ The time of the remainder of the trip = 5 - 3 = 2 hours

∵ She reduced her speed 20 mph for the remainder of the trip

∴ Her speed on the remainder of the trip = x - 20 mph

∴ The remainder distance = (x - 20) × 2

∴ The remainder distance = 2x - 40 miles

∵ The total distance of the trip is 290 miles

- Equate the sum of the two distances above by 290

∴ 3x + 2x - 40 = 290

- Add the like terms in the left hand side

∴ 5x - 40 = 290

- Add 40 to both sides

∴ 5x = 330

- Divide both sides by 5

∴ x = 66

Marge drove by 66 miles per hour on the interstate

Learn more:

You can learn more about speed, time and distance in brainly.com/question/9998060

#LearnwithBrainly

7 0
3 years ago
Half of the sum of 32 and 2
dimaraw [331]

Answer:

17

Step-by-step explanation:

32+2=34

34/2= 17

7 0
3 years ago
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