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stepladder [879]
3 years ago
13

X=y-1 X+2y=8 Solve each system by substituation

Mathematics
2 answers:
DochEvi [55]3 years ago
4 0
Since the first equation is already set up as x= use it to plug into the second equation.
x + 2y = 8
(y -1) + 2y = 8
y -1 + 2y = 8
3y -1 = 8
Add 1 to both sides
3y = 9
Divide both sides by 3
y = 3
Use x = y - 1 to solve for x
x = 3 - 1
x = 2
(2,3)
Bezzdna [24]3 years ago
3 0
The answer is
y=3
x=2

Also, substitution is just a type of method to solve for x and y.
Tell me if you want the steps for solving it
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We conclude that the mean waiting time is less than 10 minutes.

Step-by-step explanation:

We are given that a public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes.

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Let \mu = <u><em>mean waiting time for bus number 14.</em></u>

So, Null Hypothesis, H_0 : \mu \geq 10 minutes      {means that the mean waiting time is more than or equal to 10 minutes}

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The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                       T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

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             n = sample of different occasions = 18

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The value of t test statistics is -3.734.

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Since our test statistic is less than the critical value of t as -3.734 < -2.567, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that the mean waiting time is less than 10 minutes.

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