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3 years ago

Write an equation of a line that passes through the point (8,4) and is parallel to the line y = 4x + 2.

Mathematics

1 answer:

STALIN [3.7K]3 years ago

3 0

Answer:

y = 4x - 28

Step-by-step explanation:

4 = 4 (8) + b

b = -28

y = 4x - 28

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tankabanditka [31]

14 $\frac{1}{2}$ °

6 0

3 years ago

In a poll, 74% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted o

Maksim231197 [3]

Answer:

324

Step-by-step explanation:

given that in a poll, 74% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?"

i.e. Sample proportion $p=0.74\\q =1-p =0.26\\$

Margin of error = 4% = 0.04

Confidence level =90%

Z critical value for 90% = 1.645

Margin of error = 1.645 * std error

Hence std error = $\frac{0.04}{1.645} \\=0.0243$

Std error is also equal to

$\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.74(0.26)}{n} } =0.0243\\\sqrt{n} =18..05\\n = 325.83~324$

Sample size should be 324.

The formula is sample size = (Z critical value)^2 (pq)/(Margin of error )^2

3 0

3 years ago

the sum of three numbers is 144. the third number is 4 times the first. the second number is 6 more than the first. what are the

Law Incorporation [45]

First I would change the descriptions of the numbers into expressions.

first number is n
second number is n + 6
third number is 4n (4 x n)

Then you would insert these expressions into an equation and isolate n.

n + n + 6 + 4n = 144
n + n + 4n = 144 - 6
6n = 138
n = 138/6
n = 23

Lastly, you would plug in this value into all of the expressions.

first number is 23
second number is 23 + 6 = 29
third number is 4(23) = 92

Therefore, the numbers are 23, 29, and 92.

7 0

3 years ago

Analyze this data, and match each percentage to the description it represents. Round your answers to the nearest whole number. 3

Aleksandr [31]

Answer:

(a)The percentage of hatchbacks that run on gasoline.=78%

(b) The percentage of diesel vehicles that are hatchbacks.=21%

(c)The percentage of SUVs that run on gasoline=30%

(d)The percentage of gasoline vehicles that are sedans=42%

(e)The percentage of sedans that run on diesel =44%

(f)The percentage of gasoline vehicles that SUVs.=8%

Step-by-step explanation:

This table gives information about vehicles sold at a dealership in a month.

------------------Gasoline-------Diesel

Hatchback------18---------------5

Sedan------------15---------------12

SUV----------------3----------------7

(a)The percentage of hatchbacks that run on gasoline.

Total Number of Hatchbacks=23

Number that run on Gasoline=18

Percentage that run on gasoline=(17/23)X100=78%

(b) The percentage of diesel vehicles that are hatchbacks.

Total Number of Diesel Vehicles=5+12+7=24

Number of Diesel Hatchbacks=5

Percentage of diesel vehicles that are hatchbacks=(5÷24)X100=21%

(c)The percentage of SUVs that run on gasoline

Total Number of SUVs=10

Number of Gasoline SUVs=3

Percentage of SUVs that run on gasoline=(3÷10)X100=30%

(d)The percentage of gasoline vehicles that are sedans.

Total Number of Gasoline Vehicles=18+15+3=36

Number of Gasoline sedans=15

Percentage of Sedans that run on gasoline=(15÷36)X100=42%

(e)The percentage of sedans that run on diesel

Total Number of Sedans=15+12=27

Number of Diesel Sedans=12

Percentage of sedan that run on diesel=(12÷27)X100=44%

(f)The percentage of gasoline vehicles that SUVs.

Total Number of Gasoline Vehicles=18+15+3=36

Number of Gasoline SUVs=3

Percentage of SUVs that run on gasoline=(3÷36)X100=8%

4 0

3 years ago

What is 25 divided by 14

Marizza181 [45]

25 divided by 14 is 1.78

3 0

3 years ago