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emmasim [6.3K]
3 years ago
12

What does 6x^2 - 24y^2 equal too

Mathematics
1 answer:
evablogger [386]3 years ago
7 0
Simplify the following:
6 x^2 - 24 y^2

Factor 6 out of 6 x^2 - 24 y^2:
6 (x^2 - 4 y^2)

x^2 - 4 y^2 = x^2 - (2 y)^2:
6 (x^2 - (2 y)^2)

Factor the difference of two squares. x^2 - (2 y)^2 = (x - 2 y) (x + 2 y):
Answer: 6 (x - 2 y) (x + 2 y)
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xP(x)00.2510.0520.1530.55Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal pl
Nookie1986 [14]

The Solution:

Given:

Required:

Find the standard deviation of the probability distribution.

Step 1:

Find the expected value of the probability distribution.

E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\  \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}

Step 2:

Find the standard deviation.

Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)=4(0.25)+1(0.05)+0(0.15)+1(0.55)=1+0.05+0+0.55=1.60

Thus, the standard deviation is 1.60

Answer:

1.60

8 0
1 year ago
Find the slope of the line that passes through (-53, -2) and (-54, 91).
cricket20 [7]

Answer:

x1=-53 y1=-2

x2=-54. y2=91

slopes= y2-y1

---------

x2-x1

91-(-2)

-----------------

= -54-(-53)

91+2

= ----------

-54+53

= 93

-------

-1

8 0
3 years ago
Chelsea wrote several equations and determined that only one of the equations has exactly one solution. Which of these
Aneli [31]

Answer:

a

Step-by-step explanation:

6 0
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Help with the CORRECT answer pretty please
lilavasa [31]
The answer would be (3,-1)
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The table displays the mean for seven random samples. Sample Sample Mean 1 23.2 2 26.7 3 24.9 4 24.6 5 28.0 6 26.3 7 23.4 Which
madam [21]

Answer:

24.2 B

Step-by-step explanation:

This is right on edge

6 0
2 years ago
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