Answer:
24.
Step-by-step explanation:
Substitute each instance of x with a 3.
That leaves us with 3^2 + 3x - 5 + 3^2 - 3x + 11.
Combine like terms.
2(3^2) + 6.
Simplify.
2(9) + 6
18 + 6
24.
The formula to find the area of a triangle is

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Answer:
E. -0.723
Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.
Step-by-step explanation:
Information provided
represent the sample mean for the length
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level
t would represent the statistic
represent the p value for the test
System of hypothesis
We need to conduct a hypothesis in order to check if the lathe is in perfect adjustment (6cm), then the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
since we don't know the population deviation the statistic is:
(1)
Replacing in formula (1) we got:
E. -0.723
P value
The degrees of freedom are given by:
Since is a two tailed test the p value would be:
Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.
Lets list what we know:
1.5 cups = 18 cookies
How many cups in 1 cookie will help us find the answer:
1.5 / 18 (1.5 cups per 18 cookies)
divide both sides by 1.5 (to get how many cookies in 1 cup)
1 / 12 (1 cup = 12 cookies)
Now, how many times does 12 fit in 30?
30/12 = 2.5
This means it takes 2 and a half cups of raisins to get 30 cookies.
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