Answer:
he probability that the sample mean deviates from the population mean = 112 by no more than 4= 0.9050
Step-by-step explanation:
mean = 112
sd = 12/sqrt(25) = 2.4
z = (x - μ)/σ
z = (116 - 112)/2.4 = 1.67
Therefore,
P(X >= 116) = P(z <= (116 - 112)/2.4)
= P(z >= 1.67)
= 1 - 0.9525
= 0.0475
z = (x - μ)/σ
z1 = (108 - 112)/2.4 = -1.67
z2 = (116 - 112)/2.4 = 1.67
Therefore, we get
P(108 <= X <= 116) = P((116 - 112)/2.4) <= z <= (116 - 112)/2.4)
= P(-1.67 <= z <= 1.67) = P(z <= 1.67) - P(z <= -1.67)
= 0.9525 - 0.0475
= 0.9050
1.26cm/1ft * 30ft = 37.8cm
37.8cm/6.3cm=6
Your model would be six toothpicks tall.
Answer:
Step-by-step explanation:
Given
See attachment for diagram
Required
The equation to find x
First, calculate the area of the big rectangle using:
So:
The smaller rectangle
The difference between this areas give the area of the shaded region.
So:
Open brackets
Collect like terms
<em>The above equation can be used to solve for x</em>
In this case, you aren't going to get an integer for the value of a, but you can rearrange the equation to equal a.
4a-3=D add 3 to both sides
4a=D+3 divide both sides by 4
a=(D+3)/4 here's your answer
