Solving liner system, substitution method 2x-y=23 x-9=-3

2 answers:

8 0

The easiest way to solve that would be elimination method, but if you have to do substitution:
x-9=-3
add 9 to each side to get
x=6
then plug 6 into the other equation for x
2(6)-y=23
and solve for y :)

olya-2409 [2.1K]4 years ago

7 0

2x - y = 23
x - 9 = -3

x - 9 = -3
<u> + 9 + 9</u>
   x = 6
2(6) - y = 23
12 - y = 23
<u>- 12 - 12</u>
   -y = 11
   y = -11
(x, y) = (6, -11)

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5 0

2 years ago

On the middle school baseball team, 8 players are sixth graders. Of the players, 40% are sixth graders. How many

Alexandra [31]

<h2>Answer: Step-by-step explanation: 40 multiply by 8=320 divided by 100=3.</h2>

3 0

3 years ago

Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that

amm1812

Answer:

The value is $P(| \^ p - p| < 0.05 ) = 0.9822$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.52$

The sample size is n = 563

Generally the population mean of the sampling distribution is mathematically represented as

$\mu_{x} = p = 0.52$

Generally the standard deviation of the sampling distribution is mathematically evaluated as

$\sigma = \sqrt{\frac{ p(1- p)}{n} }$

=> $\sigma = \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }$

=> $\sigma = 0.02106$

Generally the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

$P(| \^ p - p| < 0.05 ) = P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 ))$

Here $\^ p$ is the sample proportion of persons with a college degree.

$P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma } < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )$