a. The reason why this question is a binomial experiment is based on the fact that it is made up of an independent sample, it has a number that is fixed and a probability.
Each event is made up of two outcomes and they are random with the same success rate.
<h3>b. How to solve probability that exactly 5 had a bachelor</h3>
we have the following data n = 12, p = 0.27 and k = 5
We have to use the function to solve electronically
binompdf(n,p,k)
input the values
= binompdf(12,0.27,5)
This gives us
= 0.1255
<h3>(C) Probability that fewer than 5 have bachelor</h3>
We use the formula below
= binompdf(12,0.27,5-1)
This is = 0.7984
D. Probability of at least 5
1 - probability of fewer than 5
= 1 - 0.7984
= 0.2016
How to solve for the Mean = n*p
n = 12 , p = 0.27
Mean = 12*0.27 = 3.24
and
standard deviation = √npq
n = 12, p = 0.27 , q = 1- 0.27
= 0.73
sd = √12*.27*.73
= 1.54
Read more on binomial experiment here:
brainly.com/question/9325204
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Answer: a. They can find the present value of the remaining 20 years worth of payments.
Step-by-step explanation:
The present value of the payments for the servicing of the loan is the amount of the loan that is still owed because the payments include both the interest and the principal repayments.
The Schmidts can therefore find out the amount they still owe by checking the present value of the remaining 20 years worth of payments.
As the payments are usually constant they can be treated as an annuity so using the monthly payment as the annuity, the interest rate as the discount rate and the 20 years ( 240 months) as the period, they should be able to find the present value of the loan.
In standard form, -3(1-8x-2y) is:
DISTRIBUTIVE PROPERTY: 3+24x+6y
ANSWER: 24x+6y-3
Answer:
7x+y= -2
Step-by-step explanation:
Add 7x to both sides to get Ax+By=C
Hope this helps ^-^
Answer:
<em>V(t) = π(4cos πt -5sinπt) cm</em>
Step-by-step explanation:
Given the displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 4 sin πt + 5 cos πt, where t is measured in seconds, the average velocity of the body will be expressed as the change in displacement of thee particle with respect to time.
This is expressed mathematically as V = ds/dt
Differentiate the displacement function to get the velocity V
V = 4πcos πt + (-5πsin πt)
open the parenthesis
V = 4πcos πt - 5πsin πt
bring out the common factor
V = π(4cos πt -5sinπt)
<em>Hence the average velocity of the body during each time is expressed as </em>
<em>V(t) = π(4cos πt -5sinπt) cm</em>
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