Answer:
x² + 6x + 5 = 0
Step-by-step explanation:
Given
x² + 6x + 8 = 3 ( subtract 3 from both sides )
x² + 6x + 5 = 0 ← in standard form
Your answer is 26.
We have to go at this kind of backward.
We find the average by adding up the numbers, then dividing by how many numbers we have.
In this example, we will have 5 numbers...so
x divided by 5 = 18
x/5 = 18
x = 90
The sum of all 5 numbers is 90, so then subtract the 4 numbers you already know to find the one you’re missing. (We’ll call it n)
90 - 8 - 12 - 18 - 26 = n
90 - 64 = n
n = 26
Please let me know if you have any questions.
60 miles an hour for 45 minutes = 45 miles
50 miles per hour for 30 minutes = 25 miles
Total =70 miles
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
