Answer:
108
Step-by-step explanation:
<u>find the volume of the cooler</u>:
V=πr²h
π×6²×16= 1809.56
<u>find the volume of the cup</u>:
V=πr²(h/3)
π×2²×(4/3)= 16.76
<u>divide the volume:</u>
1809.56/16.76= 107.969
Assuming that the cooler is full to the max, and cups are filled almost to the top, the cooler contains 108 cups of water.
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:
Step-by-step explanation:
All the terms in this polynomial are divisible by 3. Factor 3 out of this polynomial:
Now, factor inside the parentheses by grouping:
We knew to split the +2x up into -1x and 3x because -1 and 3 multiply to get -3, which is the last value in the polynomial.
Therefore, the final factored polynomial is .
Answer:
havent got tought this yet sorry wish i can help
Answer:
60 inches
Step-by-step explanation:
<em>30% of 200 inches = 200 inches * 30%</em>
<em>30% = 0.3</em>
Substitute: 200 inches * 0.3
Multiply: 60 inches
