Answer:
The mean of x is close to 14.8.
The standard deviation of x is close to 3.78.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and each trial can only have two outcomes, with probabilities
and
.
For an experiment with n repeated trials and a probability of success
, we have that:
The mean is: 
The standard deviation is: 
In this problem
There are 400 employees, each with a probability of 3.7% of having food allergy. So
. So:

The mean of x is close to 14.8.

The standard deviation of x is close to 3.78.
Answer:
x=12
Step-by-step explanation:
142 and 3x+2 are supplementary angles when the lines are parallel
142+ 3x+2 = 180
Combine like terms
144+3x= 180
Subtract 144 from each side
144+3x-144=180-144
3x=36
Divide by 3
3x/3 = 36/3
x =12
Area=length * width
You know area and width. Plug in and solve.
24=length*4
Length =6 meters
Answer:
10/16
Step-by-step explanation:
Just multiply the denominator and the numerator by 2 and wha la you get 10/16 hope it helps!