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natita [175]
2 years ago
15

SOLVE OR SIMPLIFY THIS!! -6-(2x+7)=-2(x+6)-1

Mathematics
2 answers:
kozerog [31]2 years ago
7 0

Answer:

Step-by-step explanation:

(2x + 7) = - 2(x + 6) - 1

2x + 7 = - 2x + 12 - 1

2x - 2x = 12 - 7 - 1

0x = 4

= 4

Oliga [24]2 years ago
3 0

\\ \sf\longmapsto -6-(2x+7)=-2(x+6)-1

\\ \sf\longmapsto -6-2x-7=-2x-12-1

\\ \sf\longmapsto -2x-13=-2x-13

\\ \sf\longmapsto 2x-2x=0

\\ \sf\longmapsto 0

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A recent survey showed that in a sample of 100 elementary school teachers, 15 were single. In a sample of 180 high school teache
trapecia [35]

Answer:

By using hypothesis test at α = 0.01, we cannot conclude that the proportion of high school teachers who were single greater than the proportion of elementary teachers who were single

Step-by-step explanation:

let p1  be the proportion of elementary teachers who were single

let p2 be the proportion of high school teachers who were single

Then, the null and alternative hypotheses are:

H_{0}: p2=p1

H_{a}: p2>p1

We need to calculate the test statistic of the sample proportion for elementary teachers who were single.

It can be calculated as follows:

\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of high school teachers who were single (\frac{36}{180} =0.2)
  • p is the proportion of elementary teachers who were single (\frac{15}{100} =0.15)
  • N is the sample size (180)

Using the numbers, we get

\frac{0.2-0.15}{\sqrt{\frac{0.15*0.85}{180} } } ≈ 1.88

Using z-table, corresponding  P-Value is ≈0.03

Since 0.03>0.01 we fail to reject the null hypothesis. (The result is not significant at α = 0.01)

8 0
3 years ago
Please help me with this sum​
Maslowich

Answer:

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Step-by-step explanation:

4 0
2 years ago
Travis wants to build a fence around his mother's rectangular garden. The length of the garden is 315 centimeters, and the width
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Answer: 12.1 meters

Step-by-step explanation:

This is a rectangular fence so it represents a rectangle.

Fencing the garden will require going around it therefore you are looking for the perimeter.

Perimeter of a rectangle = (2 * Length) + ( 2 * Width)

= (2 * 315) + ( 2 * 290)

= 1,210 cm

Convert to meters:

A meter is 100 centimeters

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= 12.1 meters

7 0
3 years ago
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Aleksandr-060686 [28]

Answer:

The actual length of the lap = 250 meters

Step-by-step explanation:

∵ The scale factor of the map is 1:1000

∵ The length of the lap on the map is 25 cm

∴ \frac{1}{1000}=\frac{25}{x}

Where x is the actual length of a lap

∴ x = (25 × 1000) ÷ 1 = 25000 cm

∵ 1 meter = 100 centimeter

∴ The actual length of the lap = 25000 ÷ 100 = 250 meters

7 0
3 years ago
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Answer:

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2 years ago
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