Find the value of 21 + 4(3/\2 - 5). The two after the three is an exponent.
2 answers:
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Answer:
a.
b.
Step-by-step explanation:
The formula for calculate the area of a rectangle is:
Where "l" is the lenght and "w" is the width
a. We know that the kitchen measures 3.75 meters by 4.2 meters; then we can say that:
Therefore, substituting these values into the formula, we get that the area of the kitchen is:
b. The area of the living room is one and a half times (1.5 times) that of the kitchen, this is:
Therefore, the total of the living room and the kitchen is:
Answer and Explanation:
Given : Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder.
To find :
a. Does the table show a probability distribution?
b. Find the mean and standard deviation of the random variable x.
Solution :
a) To determine that table shows a probability distribution we add up all six probabilities if the sum is 1 then it is a valid distribution.
Yes it is a probability distribution.
b) First we create the table as per requirements,
x P(x) xP(x) x² x²P(x)
0 0.029 0 0 0
1 0.147 0.147 1 0.147
2 0.324 0.648 4 1.296
3 0.324 0.972 9 2.916
4 0.147 0.588 16 2.352
5 0.029 0.145 25 0.725
∑P(x)=1 ∑xP(x)=2.5 ∑x²P(x)=7.436
The mean of the random variable is
The standard deviation of the random sample is
Therefore, The mean is 2.5 and the standard deviation is 1.08.