Answer:
317 < 400
The Sum of the squares of the smaller 2 sides (121 + 196 = 317) < longest side squared (400) So, it is an OBTUSE SCALENE TRIANGLE.
Source: http://www.1728.org/triantest.htm
Step-by-step explanation:
Following are the calculation to the given points:
Using central limit theorem:
For point a)
Within population mean:
For point b)
Within population mean:
[tex]\to P(\mu-17<\bar{x}<\mu+17)=P\left ( \frac{\mu-17-\mu}{6.261}
Learn more:
To find the probability that the sample mean will be within a certain range, we need to calculate the z-scores and look them up in the z-table.
To find the probability that the sample mean will be within +/- 8 of the population mean, we need to convert this range to z-scores. The z-score formula is calculated by subtracting the population mean from the sample mean and dividing by the standard deviation divided by the square root of the sample size.
For +/- 8, the z-score will be (8 - 0) / (70 / sqrt(125)) = 2.09.
Using the z-table, we can find the probability associated with a z-score of 2.09, which is approximately 0.9828. Therefore, the probability that the sample mean will be within +/- 8 of the population mean is 0.9828.
Similarly, for +/- 17, the z-score will be (17 - 0) / (70 / sqrt(125)) = 4.18. Using the z-table, the probability associated with a z-score of 4.18 is nearly 1.0000. Hence, the probability that the sample mean will be within +/- 17 of the population mean is 1.0000.
#SPJ3
-33x + 82
33x - 82
-33x - 82
Answer:
Step-by-step explanation:
Use
PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
and the distributive property a(b + c) = ab + ac.
Answer:
Assuming the base prices of the T-shirts and the jeans are the same on both occasions, and ignoring the taxes, the price of a T-shirt is $ and the price of a pair of jeans is $.