Answer:
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Step-by-step explanation:
Answer:
The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.
Step-by-step explanation:
Let's define the random variable,
"Comprehensive strength of concrete". We have information that
is normally distributed with a mean of 2500 psi and a standard deviation of 50 psi (or a variance of 2500 psi). In other words,
.
We want to know the probability of the mean of X or
that falls in the interval
. From inference theory we know that :

Now we can find the probability as follows:

Where
, then:

Answer:
u=1/2
Step-by-step explanation:
-3(-6u+6)-3u=5(u-2)-3
18u-18-3u=5u-10-3
15u-18=5u-13
15u-5u-18=-13
10u-18=-13
10u=-13+18
10u=5
u=5/10
simplify
u=1/2
Divide it into 1 rectangle and 3 triangles.
Rectangle : 3 x 8 = 24
Triangle 1: 1/2 x 8 x 2 = 8
Triangle 2: 1/2 x 4x3 = 6
Triangle 3: 1/2 x 4x3= 6
Total area = 24 + 8 + 6 + 6 = 44 square units.