To get the number of members between 15 years and 30 years we proceed as follows:
z=(x-μ)/σ
where:
mean,μ=23
standard deviation, σ=4 years
thus
P(15<x<31)
when x=15
P(x<15)
z=(15-23)/4
z=-2
thus
P(x<15)=P(z<-2)=0.0228
when x=31
z=(31-23)/4
z=2
thus
P(x<31)=P(z<2)=0.9772
Hence:
P(15<x<31)=0.9544
hence the number of members between that age was:
0.9544×300
=286.32 people
~285 People
Answer: 285 people
Let z be any number (like x would be)
if we set z equal to 2x-6y, then we get z = 2x-6y
The system
2x-6y = 8
2x-6 = 3
turns into this new system
z = 8
z = 3
but z is a single number. It can't be both 8 and 3 at the same time. So there are no solutions
Answer:
it would be (-8,14)
Step-by-step explanation:
so if you plot it on a graph all ypu would do is flip it over the x axis
Answer:
Equivalent expressions are expressions which are equal. This means they simplify to the same expression. Simplify the two expressions -1.3x - (-8.9x) = 7.6x and -1.3 + (-8.9X) = -10.2x.
Then simplify each option to determine if it is equal -1.3x - (-8.9x), -1.3 + (-8.9X) or neither:
−1.3x−8.9x = -10.2x. This is equivalent to -1.3 + (-8.9X) .
8.9x+(−1.3x) = 7.6x This is equivalent to -1.3x - (-8.9x) .
−8.9x+(−1.3x) = -10.2x This is equivalent to -1.3 + (-8.9X) .
8.9x−(−1.3x) = 10.2x Neither
−1.3x+8.9x = 7.6x This is equivalent to -1.3x - (-8.9x) .
−8.9x+1.3x = -7.6x Neither
Step-by-step explanation:
Approximately 70% of the visitors to the theme park are older than about 12.3.
A z-score of about -0.53 is position on the normal distribution for finding the amount above 30% (70%).
Therefore, we can write and solve the following equation:
(x - 15) / 5.2 = -0.53
x - 15 = -2.756
x = 12.244
The closest amount is 12.3.
