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sammy [17]
3 years ago
8

WILL GIVE BRAINLIEST

Mathematics
1 answer:
Aliun [14]3 years ago
3 0

Answer:

5/2

Step-by-step explanation:

Since it's linear, you don't need more than 2 points.

To find the slope, or rate of change, just divide the change in y by the change in x. If (-5, 18) is (x1, y1) and (-3, 23) is (x2, y2):

m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{23-18}{-3--5}\\\\m=\frac{5}{2}

The rate of change is 5/2. If you want to be extra sure, check it with 2 other points:

m=\frac{33-28}{1--1}\\\\m=\frac{5}{2}

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It would be 75 centimeters long
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3 years ago
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Find the P-value for a test of the claim that more than 60% of the people following a particular diet will experience increased
lina2011 [118]

Answer:

The p-value of the test is 0.0207.

Step-by-step explanation:

Test of the claim that more than 60% of the people following a particular diet will experience increased energy (H1: p > 0.6).

The null hypothesis is:

H_0: p = 0.6

The alternate hypothesis is:

H_1: p > 0.6

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.

0.6 is tested at the null hypothesis:

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

Of 100 randomly selected subjects who followed the diet, 70 noticed an increase in their energy level.

This means that n = 100, X = \frac{70}{100} = 0.7

Test statistic:

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

z = \frac{0.7 - 0.6}{\frac{\\sqrt{0.6*0.4}}{\sqrt{100}}}

z = 2.04

P-value of the test:

The p-value of the test is the probability of finding a sample proportion of at least 0.7, which is 1 subtracted by the p-value of z = 2.04.

Looking at the z-table, z = 2.04 has a p-value of 0.9793

1 - 0.9793 = 0.0207

The p-value of the test is 0.0207.

4 0
3 years ago
Find the length of the line below.
Volgvan

Answer:

2.1cm

Step-by-step explanation:

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7 0
2 years ago
When someone turns 21, how many days old is that person?​
Molodets [167]

Answer:

7665

Step-by-step explanation:

365 days in a year, 21 years. 21 x 365 = 7665

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4 years ago
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Find the total surface area of the square pyramid in the figure.
Scilla [17]

The total surface area of the square pyramid (SA) = 144 yd².

<h3>What is a Square Pyramid?</h3>

A square pyramid is a solid shape that has a square base and four rectangular lateral faces.

<h3>How to Find the Total Surface Area of a Square Pyramid?</h3>

The total surface area of a square pyramid is the sum of the area of its square base and four rectangular lateral faces. To find the total surface area, the following formula is used:

Total surface area of a square pyramid (SA) = A + 1/2(Pl), where:

  • Area of base = A
  • Perimeter of base = P
  • Slant height of pyramid = l

Given the following:

Area of base (A) = 8² = 64 yd²

Perimeter of base (P) = 4(8) = 32 yds

Slant height of pyramid (l) = 5 yds

Plug in the values

Total surface area of a square pyramid (SA) = 64 + 1/2(32)(5)

Total surface area of a square pyramid (SA) = 64 + 80

Total surface area of a square pyramid (SA) = 144 yd².

Learn more about the Total surface area of square pyramid on:

brainly.com/question/19530716

#SPJ1

7 0
2 years ago
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