Answer:
The mean of depth is 12.75cm.
The variance of depth is of 13.02 cm².
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The mean of the uniform distribution is:
The variance of the uniform distribution is given by:
Uniform distribution on the interval (6.5, 19)
This means that:
So
Mean:
The mean of depth is 12.75cm.
Variance:
The variance of depth is of 13.02 cm².
The simplification of given expression is:
Step-by-step explanation:
Given fraction is:
When the exponents with same base are in numerator and denominator, the exponents can be added or subtracted
As we prefer to keep the exponents positive, both the exponents in the denominator will be moved to numerator
Hence,
The simplification of given expression is:
Keywords: Exponents, Fractions
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Answer:
Step-by-step explanation:
Given the inequality
|x|> 1
The modulus of x shows that x can be both positive and negative value.
If x is positive:
x>1
1<x
If x is negative:
-x>1
Multiplying both sides of the inequality by minus will change the inequality sign
x < -1
Combining both inequalities:
1<x<-1
Find the position on the number line in the attachment
864000cm squared to meters squared would be 8.64
Let the number of miles = m
Inequality
0.75*m + 20 ≤ 65
Solution
0.75*m + 20 - 20 ≤ 65 - 20 Subtract 20 from both sides
0.75*m ≤45 Divide by 0.75
0.75*m / 0.75 ≤ 45/0.75
m ≤ 60
Conclusion
The truck can be driven up to 60 miles.