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Eddi Din [679]
3 years ago
9

(9t + 1) + 7(1 + 9t) Complete the missing expressions!!

Mathematics
1 answer:
gavmur [86]3 years ago
8 0

Answer:

Step-by-step explanation:

Distribute:

=9t+1+(7)(1)+(7)(9t)

=9t+1+7+63t

Combine Like Terms:

=9t+1+7+63t

=(9t+63t)+(1+7)

=72t+8

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Which numbers are solutions to the inequality x < −4, using the replacement set {−10, −4.3, −4, −3.9, 2}?
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On a number line, with the negative numbers on the left and the positive number on the right

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A manufacturer produces 400 units when the market price is $10 per unit and produces 600 units when the market price is $12 per
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4 0
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Last year it was found that on average it took students 20 minutes to fill out the forms required for graduation. This year the
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Answer:

t=\frac{18.5-20}{\frac{5.2}{\sqrt{22}}}=-1.35  

p_v =P(t_{21}  

If we compare the p value and a significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the actual true mean for the time is not significantly less than 20 minutes at 5% of significance.  

Step-by-step explanation:

Data given and notation  

\bar X=18.5 represent the sample mean  

s=5.2 represent the standard deviation for the sample

n=22 sample size  

\mu_o =20 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses to be tested

We need to conduct a hypothesis in order to determine if the mean for the new forms take less time to complete than the older forms, the system of hypothesis would be:  

Null hypothesis:\mu \geq 20  

Alternative hypothesis:\mu < 20  

Compute the test statistic

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

We can replace in formula (1) the info given like this:  

t=\frac{18.5-20}{\frac{5.2}{\sqrt{22}}}=-1.35  

Now we need to find the degrees of freedom for the t distirbution given by:

df=n-1=22-1=21

What do you conclude?

Compute the p-value

Since is a one left tailed test the p value would be:  

p_v =P(t_{21}  

If we compare the p value and a significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the actual true mean for the time is not significantly less than 20 minutes at 5% of significance.  

7 0
3 years ago
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