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3 years ago

Determine the standard deviation of the data below. (1, 2, 3, 4, 5)

Mathematics

1 answer:

Burka [1]3 years ago

4 0

Answer:

$\sqrt{2}$ or 1.414

Step-by-step explanation:

1) Find the mean. 1+2+3+4+5 = 15. 15/5= 3

2) For each data point, find the square of its distance to the mean. (4, 1, 0, 1, 4)

3) Sum the values from Step 2. 10

4) Divide by the number of data points. 10/5= 2

5) Take the square root. $\sqrt{2}$

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Frank bought 2 CDs that were each the same price. Including sales tax, he paid a total of 24.20 Each CD had a tax of 0.60 What w

stira [4]

Answer:

11.5

Step-by-step explanation:

Frank paid a total of 24.2 for the 2 CDs, so, for each CD, he paid the total value divided by two:

Price of each CD = 24.2 / 2 = 12.1

Each CD had a tax of 0.6, so, to calculate the price of each CD before tax, we just subtract the price of each CD by the value of the tax for each CD:

Price of each CD before tax = 12.1 - 0.6 = 11.5

The price of each CD before tax is 11.5

8 0

3 years ago

Si al invertir $60.000 se pierde un 8% ¿A cuánto asciende la pérdida?

svetoff [14.1K]

Trabajando con porcentajes, concluimos que la pérdida es de $4800.

<h3>¿A cuánto asciende la pérdida?</h3>

Sabemos que la inversión inicial es de $60000, y de esta cantidad, se pierde un 8%.

Entonces la pérdida va a ser el 8% de $60000.

Podemos escribir las relaciones:

$60000 = 100%

x = 8%

Queremos resolver esto para x, tomando el cociente entre esas relaciones y resolviendo para x obtenemos:

x = $60000*(8%/100%) = $60000*0.08 = $4800

Así, concluimos que la pérdida es de $4800.

Sí quieres aprender más sobre porcentages:

brainly.com/question/843074

#SPJ1

6 0

2 years ago

The area of the following equilateral triangle is 62.4 square feet that is he height

Vikentia [17]

The height of this triangle would be 10.4

In order to find this, you first must find the length of the sides. Using a manipulated formula for area of an equilateral triangle, we can determine the lengths of the side. Below if the formula.

S = $\frac{2}{3}3^{\frac{3}{4}} \sqrt{A}$

In this, S is the length of the side and A is the area. So we plug in and get:

S = $\frac{2}{3}3^{\frac{3}{4}} \sqrt{62.4}$

S = $\frac{2}{3}3^{\frac{3}{4}} 7.89$

S = 12

Now that we have the side as 12, we can use the Pythagorean Theorem to find the height. If you split a equilateral triangle down the middle, you are left with two right triangles. Using this right triangle, the hypotenuse would be 12, the first leg would be 6 (half of the base) and the height would be the other leg. So we plug in and solve.

$a^{2} + b^{2} = c^{2}$