Answer:
9.8 Inch
Step-by-step explanation:
The distance from the upper left corner to the bottom right corner of the box is the longest diagonal of the box.
For a rectangular prism:
Length of the Longest diagonal 
Therefore:
Length of the pencil
Try 4 because a die has six sides and 6-2=4
probability that the persons IQ falls between 110 and 130 is 0.2286 .
<u>Step-by-step explanation:</u>
Step 1: Sketch the curve.
The probability that 110<X<130 is equal to the blue area under the curve.
Step 2:
Since μ=100 and σ=15 we have:
P ( 110 < X < 130 )=P ( 110−100 < X−μ < 130−100 )
⇒ P ( (110−100)/15< (X−μ)/σ<(130−100)/15)
Since Z = (x−μ)/σ , (110−100)/15 = 0.67 and (130−100)/15 = 2 we have:
P ( 110<X<130 ) = P ( 0.67<Z<2 )
Step 3: Use the standard normal table to conclude that:
P ( 0.67<Z<2 )=0.2286
Therefore, probability that the persons IQ falls between 110 and 130 is 0.2286 .
Answer:
The probability that a car chosen at random is not red is 75%.
Step-by-step explanation:
Given that a used car dealer sells SUVs and cars, and of all the vehicles, 60% are cars, and of all the vehicles, 15% are red cars, to determine what is the probability that a car chosen at random is not red you must perform the following calculation:
60 = 100
15 = X
15 x 100/60 = X
25 = X
100 - 25 = 75
Therefore, the probability that a car chosen at random is not red is 75%.
