Answer: first option 392.699 square feet.
Explanation:
1) The shape of the sidewalk is an ring with exterior radius equal to the radious of the fountain + 5 feet and inner radius equal to the radius of the fountain.
2) The area of such ring is equal to the area of the outer circle less the area of the inner circle (the fountain)
Area of a circle = π × r²
Area of the outer circle: π (10ft + 5 ft)² = π (15 ft)² = 225 π ft²
Area of the inner circle = π (10ft)² = 100 π ft²
Area of the ring (sidewald) = 225π ft² - 100π ft² = 125π ft² = 392.699 ft²
Answer:
Higher
Step-by-step explanation:
1) In Macroeconomics, The core inflation rate does not include food and energy since these categories are way more volatile, due to oil and season matters. And statistically this measure looks for more robust items, to compose the core inflation in a more accurate way. The Consumer Prices Index (CPI) is the metric used for the cost of living.
Another Index, used by the Fed is the PCE, for the goods and services consumed by the US residents.
So, the Core inflation is based on CPI and PCE, <em>Personal Consumption Expenditure</em> therefore the inflation rate for the past year was higher than 4%, for it is not solely based on CPI index.
Answer:
The volume of the prism is equal to the volume of the cylinder
Step-by-step explanation:
For each solid figure, the volume formula is ...
V = Bh
where B is the cross-sectional area and h is the height. The problem statement tells us B and h have the same values for both figures. Hence their volumes are the same.
Answer:
x=-4.36
Step-by-step explanation:
Answer:
The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
The proportion of infants with birth weights between 125 oz and 140 oz is
This is the pvalue of Z when X = 140 subtracted by the pvalue of Z when X = 125. So
X = 140
has a pvalue of 0.9772
X = 125
has a pvalue of 0.8413
0.9772 - 0.8413 = 0.1359
The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.
