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Vikki [24]
3 years ago
14

Give an estimate of the mean hardness that you would expect after 37 and 41 hours; and a 85% confidence interval for each estima

te. which confidence interval is wider and why is it wider?
Mathematics
1 answer:
Jlenok [28]3 years ago
4 0
The predicted value of hardness at 37 hours is 243.87 and an 85% confidence interval for the mean hardness is (242.12, 245.61). At 41 hours, the predicted hardness is 252 and an 85% confidence interval for mean hardness is (249.83, 254.18). The confidence interval for X is equals to 41 which is wider because the value 41 is farther away from the sample mean X than is 37. As an outcome, the standard error for the prediction is larger.
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LenaWriter [7]
Simplifying
x + 6 = 3x + -14

Reorder the terms:
6 + x = 3x + -14

Reorder the terms:
6 + x = -14 + 3x

Solving
6 + x = -14 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
6 + x + -3x = -14 + 3x + -3x

Combine like terms: x + -3x = -2x
6 + -2x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -2x = -14 + 0
6 + -2x = -14

Add '-6' to each side of the equation.
6 + -6 + -2x = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -14 + -6
-2x = -14 + -6

Combine like terms: -14 + -6 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10
6 0
3 years ago
Read 2 more answers
at the same time a 15 foot pole casts a 7.5 foot shadow a nearby tree casts an 11 foot shadow how tall is the tree​
soldier1979 [14.2K]

answer: 22

15/7.5 = x/11

cross multiply

7.5x = 165

divide by 7.5 on both sides to get the x alone

7.5x/7.5 = 165/7.5

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the tree is 22 feet

sorry if it’s wrong

4 0
2 years ago
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3 years ago
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5 0
3 years ago
Factor the expression.
tiny-mole [99]
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The second way is to FOIL them out.  When you check B you get k^{2} -5kf+10kf- 50f^{2} combine your like terms and you have your original expression of k^{2} +5kf-50 f^{2}

Hope that helps
3 0
3 years ago
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