Please help I’ll mark as brainliest if correct!
2 answers:
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Answer:
Step-by-step explanation:
The total surface area simply consists of three rectangles and two triangles. To find the total surface of the figure, find the sum of each of the shapes that make up the outside of the figure:
2 triangles: 2 x 1/2 x 6 x 8 = 48 ft^2
First rectangle: 6 x 12 = 72 ft^2
Second rectangle: 8 x 12 = 96 ft^2
Third rectangle: 10 x 12 = 120 ft^2
*Note: One of the dimensions is in yards, so make sure to convert it to ft (1 yd = 3ft)
Thus, the total surface area of the figure is 48+72+96+120 = 336 ft^2.
Answer:
a) 0.219
b) 0.02
Step-by-step explanation:
Problems of normally distributed samples 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.
In this problem, we have that:
a. What percent of high school teachers make between $40,000 and $50,000?
This is the pvalue of Z when X = 50,000 subtracted by the pvalue of Z when X = 40,000.
So
X = 50,000
has a pvalue of 0.6517.
X = 40,000
has a pvalue of 0.4325
So 0.6517 - 0.4325 = 0.219 = 21.9% of high school teachers make between $40,000 and $50,000.
b. What percent of high school teachers make more than $80,000?
This is 1 subtracted by the pvalue of Z when X = 80000. SO
has a pvalue of 0.9803.
So 1-0.9803 = 0.0197 = 0.02 = 2% of high school teachers make more than $80,000.
Answer:
Step-by-step explanation:
We need to find
We know that √-1 = i
Adding -49 and -4 and solving
Since 53 is not a perfect square so our answer is: