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tamaranim1 [39]
3 years ago
8

Solve the system by substitution6x+2y=26 x=6y+21

Mathematics
1 answer:
Savatey [412]3 years ago
8 0
Substitute x = 6y + 21 into the first equation:-
6(6y+21) + 2y = 26 
36y + 126 + 2y = 26
38y =  -100
y = -2.63
x =   6(-2.63) + 21 = 5.22

answer (-2.63, 5.22)   to nearest hundredth 
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Here is a simple probability model for multiple-choice tests. Suppose that each student has probability p of correctly answering
Alla [95]

Answer:

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

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

Step-by-step explanation:

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

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The standard deviation can be calculates as:

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z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.04} =-1.75

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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

The probability for this value of z is

P(x

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6 0
3 years ago
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Otrada [13]
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8 0
3 years ago
Jane , Andre and Maria picked 840 pounds of apples. Andre picked 3 times as many as Maria. Jane picks 2 times as many as Andre.
Galina-37 [17]
To answer the problem, let x be the number of apples Maria picked. By this representation, the number of apples Andre picked is 3x and that Jane picked 6x apples. The sum of all apples picked is 840. The equation that represent the situation is,
 
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Andre picked 3x apples. Thus, Andre picked 252 apples. 

3 0
3 years ago
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