Answer:
The mean is 80 and the standard deviation is 20. Therefore we have
65 is 0.75 standard deviation below the mean.
Step-by-step explanation:
z = 
Since 85 is 0.25 standard deviations above the mean we have
or 0.25·σ = 85 - μ......1
1.5 = 
or 1.5·σ = μ - 50..............2
From 1 we have σ = 340 - 4·μ substituting into 2 gives
1.5·(340 - 4·μ) = μ - 50 ⇒ 510 - 6·μ = μ - 50
7·μ = 560 or μ = 80
Therefore σ = 340 - 4·μ = 340 - 4·80 = 20
A value, x, 0.75 standard deviation below the mean is given by
0.75 = 
which gives 15 = 80 - x or
x = 65.
Answer: 59.4
Step-by-step explanation:
We can solve this by using direct proportion where y = kx
y = number of games
x = number of home runs
k = constant of proportionality
Since y = kx
30 = 11k
k = 30/11
The home runs will he hit in a 162 game season will then be:
= 162 ÷ 30/11
= 162 × 11/30
= 59.4
Answer:
Yes it can, because −1.5 lies to the left of −0.5
On the surface of the pond
Answer:
x = 7
Step-by-step explanation:
3x - 4 = 2x + 3
3x - 2x = 3 + 4
x = 7.
For this case we have to:
x: Let the variable representing the number of people to travel in the group
y: Let the variable representing the number of miles traveled.
If friends only have $22 then we have the following inequality:
Now, if there are three people in the group we have that 
The taxi can travel a maximum of 19.33 miles.
On the other hand, if the group wants to travel 10 miles then we have to y = 10.
Thus, they could travel a maximum of 5 people.
ANswer:
Traveling 3 people, the taxi can travel a maximum of 19.33 miles
Traveling 10 miles, a maximum of 5 people can travel
