The 84th day since the greatest common multiple is 84.
Answer:
a) 0.9
b) Mean = 1.58
Standard Deviation = 0.89
Step-by-step explanation:
We are given the following in the question:
A marketing firm is considering making up to three new hires.
Let X be the variable describing the number of hiring in the company.
Thus, x can take values 0,1 ,2 and 3.

a) P(firm will make at least one hire)

Also,


b) expected value and the standard deviation of the number of hires.
![E(x^2) = \displaystyle\sum x_i^2P(x_i)\\=0(0.1) + 1(0.4) + 4(0.32) +9(0.18) = 3.3\\V(x) = E(x^2)-[E(x)]^2 = 3.3-(1.58)^2 = 0.80\\\text{Standard Deviation} = \sqrt{V(x)} = \sqrt{0.8036} = 0.89](https://tex.z-dn.net/?f=E%28x%5E2%29%20%3D%20%5Cdisplaystyle%5Csum%20x_i%5E2P%28x_i%29%5C%5C%3D0%280.1%29%20%2B%201%280.4%29%20%2B%204%280.32%29%20%2B9%280.18%29%20%3D%203.3%5C%5CV%28x%29%20%3D%20E%28x%5E2%29-%5BE%28x%29%5D%5E2%20%3D%203.3-%281.58%29%5E2%20%3D%200.80%5C%5C%5Ctext%7BStandard%20Deviation%7D%20%3D%20%5Csqrt%7BV%28x%29%7D%20%3D%20%5Csqrt%7B0.8036%7D%20%3D%200.89)
Answer:
x = -2.44
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 10x from both sides:
x (-10x) = 22 + 10x (-10x)
x - 10x = 22
-9x = 22
Isolate the variable, x. Divide -9 from both sides:
(-9x)/-9 = (22)/-9
x = 22/-9
x = -(22/9)
x = -2.44 (repeating).
x = -2.44 (rounded) is your answer.
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Multiplication property of equality
Step-by-step explanation:
We are given that the equation

We have to find the property which was applied to solve the equation.

Reason: Given
Multiply by -8/3 on both sides

By using multiplication property of equality.

After simplification

A=4*<span>π*r^2
A=4*</span><span>π*2^2
=50.3</span>