main answer : the normal distribution of given graduate record exam is 1,A(1)=0.3413
supporting answer:Because of its flared shape, a graphical representation of a normal distribution is sometimes referred to as a bell curve. The precise shape varies depending on the population distribution, but the peak is always in the middle and the curve is always symmetrical. The mean, mode, and median of a normal distribution are all the same.
body of the answer: given that x₁=mean+standard deviation
given mean₁=462
standard deviation =119
x₁=462+119=581
z₁=581-462/119=1
A(1)=0.3413
given mean₂=584
standard deviation=151
x₂=584+151
=735
z₂=735-584/151
=1
A(1)=0.3413
final answer:there fore both scores are normal
to learn more about normal distribution link
brainly.com/question/23418254#:~:text=Expert%2DVerified%20Answer&text=Most%20values%20are%20close%20to%20the%20mean%20value.,curve%20called%20the%20normal%20curve.
#SPJ4
.3478 is the answer, round however you like
Answer:
x=-5, y=-1
Step-by-step explanation:
Substitute x=-4+y into -2x-5y=15. So we have
-2(-4+y)-5y=15
8-2y-5y=15
-7y=7
y=-1
And x is -4+y so x= -4+(-1)= -5.
Answer: 1.25
Step-by-step explanation:
Convert it lol I don’t know how to say it? But also you can look it up if needed
Answer:
Step-by-step explanation:
Let he speed of the boat on the lake is x.
<u>Considering the speed of the current it will take him:</u>
- 22.5/(x + 6) + 22.5/(x - 6) = 9
- 2.5 / (x + 6) + 2.5 / (x - 6) = 1
- 2.5(x - 6 + x + 6) = (x + 6)(x - 6)
- 2.5*2x = x² - 36
- x² - 5x - 36 = 0
- x = (5 ± √(5² + 4*36))/2 = (5 ± 13) / 2
- x = (5 + 13)/2 = 9 mph (negative root is discarded as the speed should be positive)