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3 years ago

Acellus

Mathematics

1 answer:

Shalnov [3]3 years ago

6 0

Answer:

24 in

Step-by-step explanation:

i donk know

its a guess

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In a right triangle the length of a hypotenuse is c and the length of one leg is a. Find the length of the other leg, if c=6, a=

irakobra [83]

Answer:

Step-by-step explanation:

6^2=5^2+b^2

36=25+b

36-25=b

B= square root of 9

B= 3

5 0

3 years ago

Read 2 more answers

What is the x-value of the solution to the system of equations?

ValentinkaMS [17]

Answer:

The solution to the system of equations is:

$x=4,\:y=-3$

Step-by-step explanation:

Given the system of equations

$5x + 4y =8$

$2x- 3y = 17$

solving the system of equations

$\begin{bmatrix}5x+4y=8\\ 2x-3y=17\end{bmatrix}$

$\mathrm{Multiply\:}5x+4y=8\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:10x+8y=16$

$\mathrm{Multiply\:}2x-3y=17\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:10x-15y=85$

$\begin{bmatrix}10x+8y=16\\ 10x-15y=85\end{bmatrix}$

$10x-15y=85$

$-$

$\underline{10x+8y=16}$

$-23y=69$

$\begin{bmatrix}10x+8y=16\\ -23y=69\end{bmatrix}$

solve for y

$-23y=69$

Divide both sides by -23

$\frac{-23y}{-23}=\frac{69}{-23}$

$y=-3$

$\mathrm{For\:}10x+8y=16\mathrm{\:plug\:in\:}y=-3$

$10x+8\left(-3\right)=16$

$10x-24=16$

$10x=40$

Divide both sides by 10

$\frac{10x}{10}=\frac{40}{10}$

$x=4$

Thus, the solution to the system of equations is:

$x=4,\:y=-3$

7 0

2 years ago

What the geometric mean between 12 and 18

MAVERICK [17]

Answer: 14.7

Step-by-step explanation:

Data : 12,18

Total Number of Values, N = 2

Step 1 : Find 1 / N

1 / N = 1 / 2 = 0.5

Step 2 : Find mean

GM = ( 12 * 18 )^ 0.5

= 14.7

4 0

2 years ago

Read 2 more answers

The ordered pair R(-2,7) is translated 5 units to the right and down 2 units. which of the following descirbes the translation u

grigory [225]

Choice D is the correct answer.
For translations, moving to the right 5 units means you add 5 to x, and moving down 2 units means you subtract 2 from y. D is the only choice that accurately represents this.

Hope this helps

3 0

2 years ago

The SAT scores have an average of 1200 with a standard deviation of 60. A sample of 36 scores is selected. a) What is the probab

LiRa [457]

Answer:

a) 0.0082

b) 0.9987

c) 0.9192

d) 0.5000

e) 1

Step-by-step explanation:

The question is concerned with the mean of a sample.

From the central limit theorem we have the formula:

$z=\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$

a) $z=\frac{1224-1200}{\frac{60}{\sqrt{36} } }=2.40$

The area to the left of z=2.40 is 0.9918

The area to the right of z=2.40 is 1-0.9918=0.0082

$\therefore P(\bar X\:>\:1224)=0.0082$

b) $z=\frac{1230-1200}{\frac{60}{\sqrt{36} } }=3.00$

The area to the left of z=3.00 is 0.9987

$\therefore P(\bar X\:$

c) The z-value of 1200 is 0

The area to the left of 0 is 0.5

$z=\frac{1214-1200}{\frac{60}{\sqrt{36} } }=1.40$

The area to the left of z=1.40 is 0.9192

The probability that the sample mean is between 1200 and 1214 is

$P(1200\:$

d) From c) the probability that the sample mean will be greater than 1200 is 1-0.5000=0.5000

e) $z=\frac{73.46-1200}{\frac{60}{\sqrt{36} } }=-112.65$

The area to the left of z=-112.65 is 0.

The area to the right of z=-112.65 is 1-0=1

5 0

2 years ago