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Andrej [43]
3 years ago
11

Solve x + 3y = 9. 3x – 3y = –13

Mathematics
1 answer:
Sloan [31]3 years ago
7 0
Question \ 1) \ x + 3y = 9 


x=9-3y
 
  |Subtract \ 3y \ from \ both \ sides| 

Question \ 2) \ 3x - 3y = -13 


3(x-y)=-13
 
   |Factor \ out \ the \ common \ term \ 3|

x-y= \dfrac{13}{3}   |Divide \ both \ sides \ by \ 3|

x=- \dfrac{13}{3}+y  |Add \ y \ to \ both \ sides|

x=y- \dfrac{13}{3}  |Regroup \ terms|

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Running times for 400 meters are Normally distributed for young men between 18 and 30 years of age with a mean of 93 seconds and
Luda [366]

Answer:

C. 45 and 141 seconds

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 93 seconds

Standard deviation = 16 seconds

99.7% of running times are approximately between:

By the Empirical rule, within 3 standard deviations of the mean, so between 3 standard deviations below the mean and 3 standard deviations above the mean

3 stnadard deviations below the mean

93 - 3*16 = 45 seconds

3 standard deviations above the mean

93 + 3*16 = 141 seconds

The correct answer is:

C. 45 and 141 seconds

3 0
3 years ago
Which equation can be used to find the value of x?​
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Answer: D

Step-by-step explanation:

The perimeter is all the sides added up

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4 0
3 years ago
-4r-8(r-6)=7(5r-1)+8
KATRIN_1 [288]

Answer:

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Step-by-step explanation:

In this question, we have to solve for the vallue of "r". We will use the distributive property shown below to ease our process.

Distributive Property:

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Now, lets solve this:

-4r-8(r-6)=7(5r-1)+8\\-4r-8r+48=35r-7+8\\-12r+48=35r+1\\48-1=35r+12r\\47=47r\\r=\frac{47}{47}\\r=1

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chubhunter [2.5K]

Answer:

-7-a

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or -7-a

7 0
2 years ago
Read 2 more answers
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