Answer:
15 and 27
Step-by-step explanation:
let the smaller number be n then the larger number is n + 12 and
n + n + 12 = 42, that is
2n + 12 = 42 ( subtract 12 from both sides )
2n = 30 ( divide both sides by 2 )
n = 15
and n + 12 = 15 + 12 = 27
The 2 numbers are 15 and 27
Answer:
e. 0.0072
Step-by-step explanation:
We are given that a bottling company uses a filling machine to fill plastic bottles with cola. And the contents vary according to a Normal distribution with Mean, μ = 298 ml and Standard deviation, σ = 3 ml .
Let Z = ~ N(0,1) where, Xbar = mean contents of six randomly
selected bottles
n = sample size i.e. 6
So, Probability that the mean contents of six randomly selected bottles is less than 295 ml is given by, P(Xbar < 295)
P(Xbar < 295) = P( < ) = P(Z < -2.45) = P(Z > 2.45)
Now, using z% score table we find that P(Z > 2.45) = 0.00715 ≈ 0.0072 .
Therefore, option e is correct .
Answer:
a). $8.30
b).$18.70
c). $10.40
d). 1.04
Step-by-step explanation:
Average price of the ticket of a basketball game can be represented by the function,
p(x) = 0.03x² + 0.56x + 6.35
Where 'x' is the number of years or duration.
a). P(3) = 0.03(3)² + 0.56(3) + 6.35
= 0.27 + 1.68 + 6.35
= $8.30
b). P(13) = 0.03(13)² + 0.56(13) + 6.35
= 5.07 + 7.28 + 6.35
= $18.70
c). P(13) - P(3) = 18.70 - 8.30
= $10.40
d). =
= 1.04
Average increase in the price of each ticket from 3 tickets to 13 tickets is $1.04.
Answer:
7/30
Step-by-step explanation:
First we need to find the number of girls on the Newcastle team, which is the total number of girls minus the number of girls on the other team, giving us 20-6=14. This means the number of player total is 3+7+6+14 or 30 players. There are 7 Sunderland boys so we have 7/30