Answer:
a) 615
b) 715
c) 344
Step-by-step explanation:
According to the Question,
- Given that, A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 732 babies born in New York. The mean weight was 3311 grams with a standard deviation of 860 grams
- Since the distribution is approximately bell-shaped, we can use the normal distribution and calculate the Z scores for each scenario.
Z = (x - mean)/standard deviation
Now,
For x = 4171, Z = (4171 - 3311)/860 = 1
- P(Z < 1) using Z table for areas for the standard normal distribution, you will get 0.8413.
Next, multiply that by the sample size of 732.
- Therefore 732(0.8413) = 615.8316, so approximately 615 will weigh less than 4171
- For part b, use the same method except x is now 1591.
Z = (1581 - 3311)/860 = -2
- P(Z > -2) , using the Z table is 1 - 0.0228 = 0.9772 . Now 732(0.9772) = 715.3104, so approximately 715 will weigh more than 1591.
- For part c, we now need to get two Z scores, one for 3311 and another for 5031.
Z1 = (3311 - 3311)/860 = 0
Z2 = (5031 - 3311)/860= 2
P(0 ≤ Z ≤ 2) = 0.9772 - 0.5000 = 0.4772
approximately 47% fall between 0 and 1 standard deviation, so take 0.47 times 732 ⇒ 732×0.47 = 344.
Answer:
A = 48
B = 5
C = 54
Step-by-step explanation:
Answer:
143
Step-by-step explanation:
17300=.965(125X)
17927.46=125X
143.41=X
Answer:
maximum area will be 1058 square yards
maximum height will be 81 feet
Step-by-step explanation:
P = 2L +2W
but in this case it will be P= L+2W and P=92 yards
L+2W = 92
Solve for L , L = 92-2W
The area of rectangle A = L x W
Plug in L and simplify: A = (92-2W)W =92W -2W²
Plot in your calculator and look for maximum so when the width is 23 yards maximum area will be 1058 square yards.
Second problems is the maximum height of the rocket. Maximum will be at the vertex of the upside-down parabola.
I dont really feel like graphing it out but i can explain it. so lets say that you had some graph points and when you drew them together it was the shape of a circle so make a line down that circle and the rule is if that circle passes through that line you drew more than 2 times it is not a function, and if it only passes through that line once then it is a function.
