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tiny-mole [99]
3 years ago
14

A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The

image of B, point B', has the coordinates (2, –3). What is the scale factor of the dilation?
110110

1515

5

10
Mathematics
1 answer:
BabaBlast [244]3 years ago
8 0
Well I believe that the answer is five. Simply because 10 divided by 5 is 2 and -15 divided by 5 is -3
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what is the maximum, minimum, quartile 1, median, quartile 3, range, interquartlie range of these numbers " 46,48,50,52, and 54"
Gekata [30.6K]
Min=46
Max=54
1 quartile= 48
Median=50
3 quartile=52

46/48 percent is 95.83%
4 0
2 years ago
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Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with
worty [1.4K]

Answer:

z

Step-by-step explanation:

Assuming this complete question:

"Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean \mu =26 kilograms and standard deviation \sigma=4.2 kilograms. Let x be the weight of a fawn in kilograms. Convert the following z interval to a x interval.

X"

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(26,4.2)  

Where \mu=26 and \sigma=4.2

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

We know that the Z scale and the normal distribution are equivalent since the Z scales is a linear transformation of the normal distribution.

We can convert the corresponding z score for x=42.6 like this:

z=\frac{42.6-26}{4.2}=3.95

So then the corresponding z scale would be:

z

7 0
2 years ago
What is the length of the other diagonal DF?<br> 5 cm<br> 16 cm <br> 21 cm <br> 32 cm
frez [133]
To solve this you need to know Pythagorean theorem.

First, EG is 24, so the halfway points are 12. Knowing Pythagorean triples, you can use 5,12,13 and 12,16,20.

DF = 5+16
DF = 21

If you don't know Pythagorean triples, I have worked it out on the image attached.

3 0
3 years ago
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Find (x - 6)2
Sever21 [200]
Its 4-6=2 its easy because just keep useing numbers until the become two


7 0
3 years ago
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When analyzing three linear functions, Michele noticed that they all intersected at the point (5, 3). What conclusion can Michel
xz_007 [3.2K]

Answer: option B. it has the highest y-intercept.

Explanation:

1) point -slope equation of the line

y - y₁ = m (x - x₁)

2) Replace (x₁, y₁) with the point (5,3):

y - 5 = m (x - 3)

3) Expand using distributive property and simplify:

y - 5 = mx - 3m ⇒ y = mx + 5 - 3m

4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept

⇒ slope = m

⇒ b = 5 - 3m = y - intercept.

Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.

Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).

7 0
3 years ago
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