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mariarad [96]
2 years ago
5

Solve each system of linear equations by substitution.

Mathematics
2 answers:
Marysya12 [62]2 years ago
6 0
3x-2y=9 will be
3x-9=2y and
(3x)/2-9/2=y

2) y=2x-7

if you mean the intersection , so y=y
(3x)/2-9/2=2x-7
1,5x-4,5=2x-7
-4,5+7=2x-1,5x
2,5=0,5x
x=2,5/0,5
x=5 is the answer
Naddik [55]2 years ago
3 0
3x-2(2x-7)=9 \\ 3x-4x+14=9 \\ -x+14=9 \\ -14\ \ \ \ -14 \\ -x=-5 \\ /-1/-1 \\ \ \ x=5
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8 0
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Alla [95]

Answer:

a) The probability that Jodi scores 78% or lower on a 100-question test is 4%.

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Step-by-step explanation:

a) To approximate this distribution we have to calculate the mean and the standard distribution.

The mean is the proportion p=0.85.

The standard deviation can be calculates as:

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P(x

The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) In this case, the number of questions is 250, so the standard deviation needs to be calculated again:

\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{250} }=0.02

To calculate the probability that Jodi scores 78% or less on a 250-question test, we first calculate the z-value:

z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.02} =-3.5

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The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

6 0
2 years ago
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