Answer:
a) Mean = 19
b) Standard Deviation = 3.08
Step-by-step explanation:
This is binomial probability distribution. We need to find the mean and standard deviation.
a) Mean
The formula for mean is:
Where n is the number of people, which is 38 and p is the probability of girl, which is 0.5
n = 38
p = 0.5
So,
Mean = 19
b) Standard Deviation
Standard deviation has the formula:
Where n and p are the same variables in part (a)
So we plug them in and find:
Standard Deviation = 3.08
Answer:
b=6
a=6
hypotenuse=6√ 2
Step-by-step explanation:
This is a 45, 45, 90 triangle. This means a=b and hypotenuse is equal to b times √ 2. This means that you have to divide the hypotenuse by √ 2 to get what b is equal to 6√ 2 divided by √ 2 is equal to 6. Therefore, b=6. Because b and a are equal, a is also equal to 6. Therefore, b=6, a=6.
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ABC is a right triangle where AC and AB are the legs, and CB is the hypotenuse. Using Pythagorean theorem:
CB² = AB² + AC²
CB² = 16² + 12²
CB² = 256 + 144
CB² = 400
CB = √400
CB = 20 in
In triangle BCR, CB is the base and SR is its altitude
The area of a triangle is:
Then, the area of triangle BCR is:
Answer:
36/1 36.0 36
Step-by-step explanation:
Answer:
3x^2 - 3x - 3
Step-by-step explanation:
Plug in the equations in place of the variables
First, subtract k(x) from h(x)
x^2+1-x-2 (combine like terms)
x^2 - x -1
Next, multiply the new equation by 3
3(x^2 - x - 1) Use distributive property
= 3x^2 - 3x - 3