Answer:
The probability that more than a third of the buyers would prefer brown is 0.8491.
Step-by-step explanation:
This is binomial problem with n=15 and p=0.50.
The binomial formula of probaility is:
P(X=x)=
More than a third of the buyers: 15÷3=5
We have to find P(x>5).
P(x>5) = 1 - P(x≤5) = 1 - P(x=0) - P(x=1) - P(x=2) - P(x=3) - P(x=4) - P(x=5)
P(x=0)=
=0.00003
P(x=1)=
=0.00046
P(x=2)=
=0.00320
P(x=3)=
=0.01389
P(x=4)=
=0.04165
P(x=5)=
=0.09164
P(x>5) = 1 - P(x≤5)= 1- 0.00003 - 0.00046 - 0.00320 - 0.01389 - 0.04165 - 0.09164 = 0.8491
Dividing a whole number and an improper fraction seems tricky, but it just has one or two more steps than the normal process. First, convert the whole number "9" into a fraction by giving it a denominator of "1". It should look like 9/1. Now that both numbers are converted into like formats (improper fractions), you should have 9/1 divided by 5/3.
Second, flip 5/3 over into 3/5 - this is the "reciprocal". Now you have 9/1 divided by 3/5. It's just a matter of multiplying across the math sentence. Multiply the numerators (9x3) and the denominators (1 x 5). Your new fraction should be 27/5. This is your answer in the improper fraction format.
You can create other formats depending on the expected answer. For a mixed number, "divide your fraction UP" (27 divided by 5) which gives you 5 and 2/5. This can be further converted into 5.4 if you need your answer in decimal form.
A) 2(3) - 7(3) + 3(-4)
=6 - 21 + (-12)
=-27
b) (5) + 3(7)(5)
=5 + 105
=110
c) is 3 and 2 an exponent? if so
5(2)^3 + 2(3)^2
=40 + 36
=76
it is D: 93/100 i hope this helpss!!!