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3 years ago

How do u calculate Pythagorean theorem and what is the formula

Mathematics

1 answer:

PIT_PIT [208]3 years ago

6 0

Answer:

The formula is

Step-by-step explanation:

a^2 + b^2 = c^2

hope this helps

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A normal population has a mean of 19 and a standard deviation of 5.

dangina [55]

Answer:

a) $Z = 1.2$

b) 38.49% of the population is between 19 and 25.

c) 34.46% of the population is less than 17.

Step-by-step explanation:

Problems of normally distributed samples can be 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

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

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. If we need to find the probability that the measure is larger than X, it is 1 subtracted by this pvalue.

For this problem, we have that

A normal population has a mean of 19 and a standard deviation of 5, so $\mu = 19, \sigma = 5$ .

(a) Compute the z value associated with 25

This is Z when $X = 25$

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

$Z = \frac{25 - 19}{5}$

$Z = 1.2$

(b) What proportion of the population is between 19 and 25?

This is the pvalue of Z when $X = 25$ subtracted by the pvalue of Z when $X = 19$ .

X = 25 has $Z = 1.2$ , that has a pvalue of 0.8849.

X = 19 has $Z = 0$ , that has a pvalue of 0.5000.

So 0.8849-0.500 = 0.3849 = 38.49% of the population is between 19 and 25.

(c) What proportion of the population is less than 17?

This is the pvalue of Z when $X = 17$

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

$Z = \frac{17 - 19}{5}$

$Z = -0.40$

$Z = -0.40$ has a pvalue of 0.3446.

This means that 34.46% of the population is less than 17.

7 0

3 years ago

Cards with the numbers 1 through 50 are placed in a box and thoroughly shuffled. What is the probability of randomly selecting a

katrin2010 [14]

I think this is correct:

P (>10) = 10/50 = 1/5

P (x12) = 4/50 = 2/25.

hope it helps

3 0

3 years ago

Read 2 more answers

a trapezoid has base lengths of 6 and 15 centimeters with an area of 136.5 square centimeters. What is the height of the trapezo

MrRa [10]

•*Ok first let me show you the formula for the Area of the trapezoid.
A=a+b/2 h.(I will be using the letter x for the multiplication sign)

*And here is the formula to find the height of a trapezoid
h=2 x A/a+b (2 times the Area over base "a" plus base "b")

*We need to plug in the numbers: h = 2 x 136.5/6+15
*Next, we add the two bases to get 21: 6+15=21 (h=2 x 136.5)
*Then, divide the total of the two bases (21) from the area to get 6.5: 136.5/21-6.5
*Finally we multiply 2 by 6.5: 2 x 6.5= 13
The height if this trapezoid is 13.

Hope this helps you ☺

3 0

3 years ago

What is -√12+3√3? I need to know.

Gelneren [198K]

Answer:

√3

Step-by-step explanation:

√12=2√3

-2√3+3√3 = √3

Use calculator to estimate if necessary: 1.7320508075688773

4 0

3 years ago

Read 2 more answers

What is this problem -12=4(x-7)-8x

Fofino [41]

-12=4(x-7)-8x

One solution was found :

x = -4

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

-12-(4*(x-7)-8*x)=0

Step by step solution :

Step 1 :

Equation at the end of step 1 :

-12 - (4 • (x - 7) - 8x) = 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

4x + 16 = 4 • (x + 4)

Equation at the end of step 3 :

4 • (x + 4) = 0

Step 4 :

Equations which are never true :

4.1 Solve : 4 = 0

Hope this helps you, Have a nice day.

4 0

3 years ago