5 circles are shown. Circle D has a secant with length 12. Circle E has a radius with length 6. Circle H has a secant with lengt
2 answers:
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Answer:
a) 60% probability that the distance is environment friendly.
b) The mean of the distances between the telephone poles is 52.5 meters.
c) The standard deviation of the distance between the telephone poles is 7.22 meters.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
Uniform distribution between 40 and 65 meters.
This means that
a) Any distance between poles greater than 50 meters is considered to be environment friendly. What is the probability that the distance is environment friendly?
This is
We have that
So
60% probability that the distance is environment friendly.
b) Find the mean of the distances between the telephone poles
The mean of the uniform distribution is
So
c) Find the standard deviation of the distance between the telephone poles.
The standard deviation of the uniform distribution is:
So
Mr. Sanchez’s class sold 51 snickers and Mr. Kelly’s class sold 31 bottles of fruit juice.
Step-by-step explanation:
Step 1:
Assume x is the number of snickers sold and y is the number of fruit juices sold. It is given that both the classes sold 82 items in total. so
, take this as equation 1.
It is also given they both earned $115.56 out of which snickers sold for $1.50 each and fruit juice sold for $1.26 each. So,
, take this as equation 2.
Step 2:
Now we solve these equations.
Equation 1 can also be, , take this as equation 3.
Substitute equation 3 in 2,
Taking the known values to the right and keeping the unknown x values on the right, we get
Substitute this is equation 1,
So Mr. Sanchez’s class sold 51 snickers and Mr. Kelly’s class sold 31 bottles of fruit juice.