Answer: OPTION B
Step-by-step explanation:
Let be "x" the acceptable lengths for the rod.
You know that the ideal length of the metal rod is 30.5 centimeters and the measured length may vary from the ideal length by at most 0.015 centimeters.
Therefore, knowing this, you can say that the acceptable lengths must be:
Therefore, the range of acceptable lengths for the rod is the following:
This range matches with the one shown in the option B.
Given:
mean, μ = 11 lb
Std. deviation, σ = 2.1
Let x = the weight that separates the top 5% of the crop.
The z-score is
z = (x - μ)/σ
= (x - 11)/2.1
From standard z-table for normal distribution,
P(z=1.645) = 0.95
Therefore
(x - 11)/2.1 = 1.645
x - 11 = 1.645/2.1 = 0.7833
x = 11.783
Answer: 11.8 lb (nearest tenth)
Answer:
About 42%
Step-by-step explanation:
Answer:
The perimeter of triangle is 
Step-by-step explanation:
Let
we know that
The perimeter of the triangle is equal to
the formula to calculate the distance between two points is equal to
step 1
Find the distance AB
substitute the values
step 2
Find the distance BC
substitute the values
step 3
Find the distance AC
substitute the values
step 4
Find the perimeter
