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3 years ago

2/5(5k+35) -8 =12 please helpppppppp

Mathematics

2 answers:

balu736 [363]3 years ago

8 0

See attachment for math work and answer.

Mrac [35]3 years ago

3 0

Answer:

k =3

Step-by-step explanation:

2/5(5k+35) -8 =12

Add 8 to each side

2/5(5k+35) -8+8 =12+8

2/5(5k+35) =20

Multiply each side by 5/2

5/2 *2/5(5k+35) =20*5/2

5k+35 = 50

Subtract 35 from each side

5k+35-35 = 50-35

5k = 15

Divide by 5

5k/5 = 15/5

k =3

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Information provided

$\bar X=52.8$ represent the sample mean for the MPG of the cars

$\sigma=1.6$ represent the population standard deviation

$n=250$ sample size of cars

$\mu_o =52.6$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test

Hypothesis

We need to conduct a hypothesis in order to check if the true mean of MPG is different from 52.6 MPG, the system of hypothesis would be:

Null hypothesis: $\mu = 52.6$

Alternative hypothesis: $\mu \neq 52.6$

Since we know the population deviation the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Calculate the statistic

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