Answer:
a) The probability that the sample average amount of time taken on each day is at most 11 min.
P(X>11) = 0.2546
Step-by-step explanation:
<u>Step1:</u>-
Given data in a normal distribution with mean value 9 min and standard deviation 3 min.
Let 'X' be the amount of time taken on each day
Given x = 11 , μ=9min and σ=3min
by using normal distribution
Z = 0.66>0
<u>Step2:</u>-
The probability that the sample average amount of time taken on each day is at most 11 min.
P(X>11) = P(z>z₁) = 0.5-A(z₁) ( check diagram)
= 0.5 - A(0.66)
= 0.5 - 0.2454 ( check normal table)
= 0.2546
<u>Conclusion</u>:-
<u>The probability that the sample average amount of time taken on each day is at most 11 min.</u>
<u>P(X>11) = 0.2546</u>
Answer:
5 and 11
Step-by-step explanation:
The area of a trapezoid is
A = 1/2 (b1+b2)*h
We know the height is 8 and the area is 64.
Let one of the bases is b and the other is b+6
64 = 1/2 (b+ b+6) *8
Combine like terms
64 = 4 (2b+6)
Divide each side by 4
64/4 = 4/4 *(2b+6)
16 = 2b+6
Subtract 6 from each side
16-6 = 2b+6-6
10 =2b
Divide each side by2
10/2 =2b/2
5=b
The second base is
5+6 =11
Answer:
21
Step-by-step explanation:
The area of the given composite figure is 74.24cm^2
<h3>Area of composite figure</h3>
The figure is made up of semi circle and rectangle
Area = area of semicircle + Area of rectangle
Area = 3.14(4)^2 + 3(8)
Area = 50.24 + 24
Area. = 74.24cm^2
Hence the area of the given composite figure is 74.24cm^2
Learn more on area of composite figures here: brainly.com/question/21135654
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The correct answer is C, hope it’s right :)
