Answer:
12 π sq. in.
Step-by-step explanation:
Circumference c = 2πr
Arc Length s = (2πr)
s = * 2π * 6 = 4π = 12
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1 answer:
(Volume for a rectangular shape is length x width x height)
We can split up this 3D composite figure into two main parts (as shown in the picture I attached), and find each part’s volume before adding them together for the total volume.
Cube —> 5x5x5 —> 25x5 = 125 in^3
Rectangular Prism —> 20x5x5 —> 100x5 = 500 in^3
125 + 500 = 625
So the answer is A. 625 in^3
Hope this helped! If I was correct, I’d appreciate it if you marked my answer as Brainliest.
We can split up this 3D composite figure into two main parts (as shown in the picture I attached), and find each part’s volume before adding them together for the total volume.
Cube —> 5x5x5 —> 25x5 = 125 in^3
Rectangular Prism —> 20x5x5 —> 100x5 = 500 in^3
125 + 500 = 625
So the answer is A. 625 in^3
Hope this helped! If I was correct, I’d appreciate it if you marked my answer as Brainliest.
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Answer:
lenth = 68 [ft]; width=24 [ft].
Step-by-step explanation:
1) if the length is 'l' and the width - 'w', then it is possible
2) to write the condition 'The length is four feet less than three times the width' as 3w-4=l;
3) to write the given perimeter as 2(w+l)=184.
4) then it is possible to make up the system:
Answer:
0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using 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.
Suppose the mean income of firms in the same industry as Arc for a year is 90 million dollars with a standard deviation of 7 million dollars.
This means that
What is the probability that a randomly selected firm will earn more than Arc did last year?
Arc earned 76 million, so this is 1 subtracted by the pvalue of Z when X = 76.
has a pvalue of 0.0228
1 - 0.0228 = 0.9772
0.9772 = 97.72% probability that a randomly selected firm will earn more than Arc did last year