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Sloan [31]
3 years ago
9

The graph below shows a dilation. Jacky says that the original image was enlarged, but Juan thinks the original image was reduce

d. Who is correct? How do you know?

Mathematics
1 answer:
miv72 [106K]3 years ago
5 0

Answer:

Jacky is correct

Step-by-step explanation:

If you look closely, There's another point A which an apostrophe. (A')

This normally means that this is  point A after a dilation was made.

The image got bigger.

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How do I solve this equation to get the solution?<br><br> y= -2x - 1<br><br> -3x + 6y = 24
swat32
There are a few ways to solve this. The method I will use is the substitution method. Since they give us a "y = " statement, we can replace the y in the second equation with what it gives us to the right of the equal sign.

- 3x + 6(- 2x - 1) = 24

Simplify by using the distributive property. 

- 3x + 6(- 2x) + 6(- 1) = 24
- 3x - 12x - 6 = 24.

Combine like terms

- 15x - 6 = 24

Add 6 to each side.

- 15x = 30

Divide both sides by - 15 to isolate variable X

x = 30 / - 15
x = - 2.

Now plug in the x-value we've found back into the first equation.

y = - 2( - 2) - 1
y = 4 - 1
y = 3

Your answer is (- 2, 3)
6 0
3 years ago
A new operation is defined by a△b=a^2-b/b-a^2 I HAVE A BRAINLIEST TO GIVE OUT!
lorasvet [3.4K]

Step-by-step explanation:

a = 5

b = -3

25 - -3/ -3 - 25

= 28 / -28

= -1

8 0
3 years ago
A recent study from the University of Virginia looked at the effectiveness of an online sleep therapy program in treating insomn
Ludmilka [50]

Answer:

1. The 99% confidence interval for the difference in average is -6.47377 < μ₁ - μ₂ < -11.34623

2. The possible issues in the calculations includes;

a. The confidence level used in the confidence interval can influence the result of the confidence interval observed

b. The sample size is small

Step-by-step explanation:

1. The number of adults with insomnia in the sample = 45

The number of adults that participated in the therapy, n₁ = 22

The number of candidates that served as control group, n₂ = 23

The average score for the for the 22 participants of the program, \overline x_1 = 6.59

The standard deviation for the 22 participants of the program, s₁ = 4.10

The average score for the for the 23 subjects in the control group, \overline x_2 = 15.50

The standard deviation for the 23 subjects in the control group, s₂ = 5.34

The confidence interval for unknown standard deviation, σ, is given by the following expression;

\left (\bar{x}_{1}- \bar{x}_{2}  \right )\pm t_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}

α = 1 - 0.99 = 0.01

α/2 = 0.005

The degrees of freedom, df = 22 - 1 = 21

t_{\alpha /2} = t_{0.005, \, 21} = 1.721

Therefore, we have;

\left (6.59- 15.5  \right )\pm1.721 \cdot \sqrt{\dfrac{4.10^{2}}{22}+\dfrac{5.34^{2}}{23}}

The 99% confidence interval for the difference in average is therefore given as follows;

-6.47377 < μ₁ - μ₂ < -11.34623

Therefore, there is considerable evidence that the participants in the survey  had lower average score than the subjects in the control group

2. The possible issues in the calculations are;

a. The confidence level used in the confidence interval can influence the result of the confidence interval observed

b. The sample size is small

5 0
3 years ago
Use: Ck = k! (n-k)!
Arlecino [84]

Answer:

3 ways.

Step-by-step explanation:

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

2 meats from a set of 3(steak, fish or chicken). So

C_{3,2} = \frac{3!}{2!1!} = 3

3 ways.

5 0
3 years ago
What is the root square of 3,6,9, and 12
boyakko [2]

Answer:

square root of 3 =  1.7

square root of 6 =  2.5

square root of 9 =  3

square root of 12 =  3.5

Step-by-step explanation:

5 0
3 years ago
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