Answer:
The standard deviation is $26.67.
Step-by-step explanation:
Problems of normally distributed samples are 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:
Assuming a normal distribution, if 70 percent of the filings cost less than $171.00, what is the standard deviation?
This means that when X = 171, Z has a pvalue of 0.7. So when Z = 0.525.
The standard deviation is $26.67.
Answer:
- area = 14 square units
- perimeter = 19.1 units
Step-by-step explanation:
The base of the triangle extends from x=2 to x=6, a distance of 4 units.
The height of the triangle is 9 - 2 = 7 units.
Then the area is ...
A = (1/2)(4 units)(7 units) = 14 units^2
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The length of the hypotenuse is given by the Pythagorean theorem.
h^2 = 4^2 +7^2 = 16 +49 = 65
h = √65 ≈ 8.1
The perimeter is the sum of the side lengths:
P = 4 + 7 + 8.1 = 19.1 . . . units
Answer:
451. No, the angles are wrong.
Step-by-step explanation:
450. AB = 15, BC = 10, and CD= 7. Find the length DA.
This cannot be done without additional information about the sort of figure that ABCD is. If these are points on a line segment, we need to know their order. If these are points on a quadrilateral, we need to know its description in more detail.
If these are points ordered ABCD on a line, then AD = 15+10+7 = 32.
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451. See the attached figure. BPQD is not a parallelogram: BCQ is not a straight line. (The internal angles of a pentagon are 108°, but would need to be 120° for BCQ to be a straight line, making BP parallel to DQ.) Instead, BPQD is an isosceles trapezoid.
Answer: 22.2, 22,200
Step-by-step explanation: I believe that the comma was supposed to be a decimal, if so the first one is your answer, if its supposed to be a comma, is is the second one.
Answer:
25(p+25q)
Step-by-step explanation:
50 and 25 have 25 in common so you divide that out of the equation
