We have an equation with parentheses. To make our lives easier, first get rid of the parentheses. We do this by using the distributive property.
It is used like this: a(b + c) = ab + ac.
Use the distributive property on the left-hand side.
3(x - 1) = 6
3x - 3 = 6
Now we have an equation that is easier.
The x variable is being multiplied by 3 and added to -3.
Reverse all of these operations with their inverse operation.
3x - 3 = 6
3x = 9 <--- I got rid of the -3 term by using the inverse of subtraction. Addition.
And I did the same for both sides to keep the equation true.
x = 3 <--- The inverse of multiplication is division.
So, I divided both sides by 3.
So, x is equal to 3.
Answer:
The expected number of children that can pass the fitness test in a test session is 7.5 and the standard deviation is 1.37.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either they pass the health test, or they do not. Whether a child can pass the test is independent with the test result of other children. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
The probability for each child to pass the fitness test is 0.75
This means that
10 independent children
This means that Find the expectation and standard deviation of the number of children can pass the fitness test in a test session.
The expected number of children that can pass the fitness test in a test session is 7.5 and the standard deviation is 1.37.
Answer:
The answer choice is B
Step-by-step explanation:
In order for a function to work, the input value must go with only one output value, so the only one that work is b
The slope m=(y2-y1)/(x2-x1)
m=(8-4)/(5-1)
m=4/4=1
now let s solve the constant b
y=x+b
8=5+b
8-5=b
3=b
now we know the slope m=1 and the constant b=3
let s write the equation is
y=x+3 <--------- Final answer