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:
The simplified expression of is
<h3>How to simplify the expression?</h3>
The expression is given as:
Divide 162 and 2 by 2
Take the square root of 81
Apply the quotient rule of indices
Evaluate the difference
Take the square root of x^18
Hence, the simplified expression of is
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Answer:
Quotient = 18
Remainder = 10
Step-by-step explanation:
1234/68
=> 68 x 1 = 68
=> 123 - 68 = 55
=> Take the 4 down
=> 554/68
=> 68 x 8 = 544
=> 554 - 544 = 10
So, the quotient = 18.
Remainder = 10
Slope: 0.500/2.000 = 0.250
x: 32/1 = 32.00000
y: -32/4 = -8