Answer:
Step-by-step explanation:
Hello!
X: the lifespan of a new computer monitor of Glotech.
The average life is μ= 85 months and the variance δ²= 64
And a sample of 122 monitors was taken.
You need to calculate the probability that the sample mean is greater than 86.6 months.
Assuming that the variable has a normal distribution X~N(μ;δ²), then the distribution of the sample mean is X[bar]~N(μ;δ²/n)
To calculate this probability you have to work using the sampling distribution and the following formula Z= (X[bar]-μ)/δ/√n ~N(0;1)
P(X[bar]>86.6)= 1 - P(X[bar]≤86.6)
1 - P(Z≤(86.6-85)/(8/√122))= 1 - P(Z≤2.21)= 1 - 0.98645= 0.013355
The probability of the sample mean is greater than 0.013355
I hope this helps!
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Answer:
7. 91 m²
8. 56 in²
9. 105 in²
10. 135 m²
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
where b is the base length, and h is the height perpendicular to the base.
The formula for the area of a trapezoid is ...
A= 1/2(b1 +b2)h
where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them. Note that this formula is virtually identical to the triangle formula, with the triangle 'b' being replaced by (b1+b2).
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Fill in the numbers and do the arithmetic. The result is shown in the attachment. (We have used the triangle formula for all, with b1+b2 being used for 'b' to find the area of the trapezoids.)
7. A = 1/2(14 m)(13 m) = 91 m²
8. 56 in²
9. A = 1/2(14 +16 in)(7 in) = 105 in²
10. 135 m²
F + 8 - 8 ≤ 3 - 8
f <span>≤ -5
next one
f + 9 - 9 </span><span>≥ -4 - 9
f </span><span>≥ -13 </span>