To evaluate the probability that the lifespan will be between 1440 and 1465 hours will be given by:
P(1440<x<1465)
using the z-score formula we obtain:
z=(x-μ)/σ
where:
μ=1450
σ=8.5
hence
when x=1440
z=(1440-1450)/8.5
z=-1.18
P(z<-1.18)=0.1190
when x=1465
z=(1465-1450)/8.5
z=1.77
P(z<1.77)=0.9625
hence:
P(1440<x<1465)
=0.9625-0.1180
=0.8445
$120
60 + 10 = 70
70 - 20 = 50
50 ÷ 2 = 25
70 + 50 = 120
Answer:
The radius of the silo should be 
Step-by-step explanation:
we know that
The volume of the grain silo is equal to the volume of the cylinder plus the volume of a hemisphere
we have
substitute the values and solve for r
Simplify
Answer:
y = 3/2x + 2
Step-by-step explanation:
Step 1: Write original equation into slope-intercept form
3y = -2x + 3
y = -2/3x + 1
Step 2: Find slope of perpendicular line
Take the negative reciprocal of the other slope.
m = 3/2x
Step 3: Find <em>b</em>
y = 3/2x + b
-4 = 3/2(-4) + b
-4 = -6 + b
b = 2
Step 4: Rewrite perpendicular equation
y = 3/2x + 2
She reads 15.5 pages every 30 minutes. There are two 30 minutes in one hour (60 minutes) so the answer is 15.5*2 = 31.
