Answer: w = 9
Isolate the variable by dividing each side by factors that don't contain the variable. First, we rearrange the terms.
18 + 4w = 6w
4w + 18 = 6w
Now we subtract 18 from both sides.
When we simplify, we get that w = 9.
Step-by-step explanation:
Hope this helps =)
Answer:
Step-by-step explanation:240 : 24=10
Hourly rate is $10.00
5x + y = 27
substitute: 5x + 4x = 27
combine: 9x = 27
divide (by 9): x = 3
If the container is divided into 12ths you should make that your common denominator.
So 1/4 now equals 3/12
Since we want this 3/12 to be empty we must subtract it from 12/12 leaving us with 9/12.
When we subtract 2/12 from 9/12 to get the amount that was already filled we get 7/12 which is the amount that needs to be filled.
To check we add our parts 2/12 and 7/12 to get 9/12 which is 3/4 of the container filled leaving 3/12 or 1/4 of the container empty.
Hope this helps ☺
Answer: the probability that exactly 2 buyers would prefer red is 0.0320
Step-by-step explanation:
We would assume a binomial distribution for the color preferences of new car buyers. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 40% = 40/100 = 0.4
q = 1 - p = 1 - 0.4
q = 0.6
n = 14
x = r = 2
Therefore,
P(x = 2) = 14C2 × 0.4^2 × 0.6^(14 - 2)
P(x = 2) = 91 × 0.16 × 0.0022
P(x = 2) = 0.0320