What is the pythagorean therum

2 answers:

4 0

A^2 + B^2 = C^2

The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).

Nimfa-mama [501]4 years ago

3 0

The Pythagorean theorem is a^2 + b^2 = c^2. You use it when solving for the sides of a triangle.

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Among freshman at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 10

lina2011 [118]

Answer:

a) 6.68th percentile

b) 617.5 points

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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:

$\mu = 550, \sigma = 100$

a) A student who scored 400 on the Math SAT was at the ______ th percentile of the score distribution.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{400 - 550}{100}$

$Z = -1.5$

$Z = -1.5$ has a pvalue of 0.0668

So this student is in the 6.68th percentile.

b) To be at the 75th percentile of the distribution, a student needed a score of about ______ points on the Math SAT.

He needs a score of X when Z has a pvalue of 0.75. So X when Z = 0.675.

$Z = \frac{X - \mu}{\sigma}$

$0.675 = \frac{X - 550}{100}$

$X - 550 = 0.675*100$

$X = 617.5$

6 0

3 years ago

How to simplify the expression (2^2)÷2^10

dimulka [17.4K]

Simplify means solve and to solve we first need to do 2 to the 2nd power which is two * 2 that equal 4 than do 2 to the 10th power that equal 1024 and than we can just do

4 divided by 1024 = 0.0390625

6 0

3 years ago

D'Naisa mixed her favorite shade of orange paint. She had 111 gallon of orange paint and added 222 quarts of yellow paint and 33

natka813 [3]

Answer:

7.5 Quarts

Step-by-step explanation:

D'Naisa mixed the following: