First, we need to work out the total number of students who were being surveyed.
We know that half of the students has two pets. The rest of the students make up the other half. So, we have 3 students + 2 students + 8 students = 13 students that make half of the sample population
That means total number of students being surveyed is 13+13=26 students
Then we work out the probability
P(One pet) = 8/26 = 4/13
P(Two pets) = 1/2
P(Three pets) = 3/26
P( Four pets) = 2/26 = 1/13
The probability distribution is shown in the table below. Let

be the number of pets and

is the probability of owning the number of pets
Answer:
20.4 years
Step-by-step explanation:
The nper formula in excel comes handy in this scenario:
=nper(rate,pmt,-pv,fv)
Rate is the monthly rate of 5.4%/12
Assuming actual investment is $5,000 which is pv
The triple amount would be $5,000*3=$15,000 which is future value fv.
pmt is the regular cash flow the investment which is zero
=nper(5.4%/12,0,-5000,15000)= 244.68 months
Yearly it can be expressed as = 244.68/12 =20.39 years
When rounded to one decimal place it becomes 20.4 years
It would be 1/7 chance cause there are 7 people total but you have the 1 chance that you are going to get your own name
Step-by-step explanation:
let's look at the last line :
x³ + 8x - 3 = Ax³ +5Ax + Bx² + 5B + Cx + D
since we find A, B, C, and D by simply comparing the factors of the various terms in x (or constants) in both sides of the equation, we need to combine a few terms on the right hand side (so that we have one term per x exponent grade).
x³ + 8x - 3 = Ax³ + (5A + C)x + Bx² + (5B + D)
by comparing now both sides, to make both sides truly equal, the factors have to be equal.
A = 1 (the same as for x³ on the left hand side).
B = 0 (a we have no x² on the left side).
5A + C = 8 (a 8 is the factor of x in the left side).
5×1 + C = 8
5 + C = 8
C = 3
5B + D = -3 (as the constant term is -3 on the left side).
5×0 + D = -3
D = -3
so, the 4th answer option is correct.
Answer:
Because it can't
Step-by-step explanation: