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Rama09 [41]
2 years ago
14

What are the coordinates for a dilated triangle, A’B’C’, if the scale factor for the dilation is 0.75?

Mathematics
2 answers:
ycow [4]2 years ago
6 0

Answer:

D.

A’(–3.75, 0.75); B’(0, 1.5); C’(3, –1.5)

Step-by-step explanation:

Did this on edgenut and got it right

Hope this helps

patriot [66]2 years ago
6 0

Answer:

D

Step-by-step explanation:

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Solve <br> y= -2x + 9<br><br> y= 4x -3
wlad13 [49]

y = -2x + 9

y = 4x - 3

y is isolated in both equations, thus you may set the expressions (-2x + 9) and (4x - 3) equal to each other and solve for x.

-2x + 9 = 4x - 3

Subtract 9 from both sides.

-2x + 9 - 9 = 4x - 3 - 9

-2x = 4x - 12

Subtract 4x from both sides.

-2x - 4x = 4x - 12 - 4x

-6x = -12

Divide both sides by -6.

-6x/-6 = -12/-6

x = 2

Substitute 2 for x into one of the original equations to find y.

y = 4x - 3 (given)

y = 4(2) - 3 (substitute)

y = 8 - 3 (multiply)

y = 5 (subtract)

Plug x- and y-values into original equations to check work.

5 = -2(2) + 9

5 = - 4 + 9

5 = 5


5 = 4(2) - 3

5 = 8 - 3

5 = 5

Answer:

x = 2 and y = 5; (2, 5).

5 0
3 years ago
Read 2 more answers
The amount of potato chips an 18-ounce bag contains follows a normal distribution with a mean of 18.5 ounces and a standard devi
bekas [8.4K]

Answer:

100% probability that the sample mean weight of these 100 bags is less than 18.6 ounces

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 18.5, \sigma = 0.2, n = 100, s = \frac{0.2}{\sqrt{100}} = 0.02

What is the probability that the sample mean weight of these 100 bags is less than 18.6 ounces

This is the pvalue of Z when X = 18.6. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{18.6 - 18.5}{0.02}

Z = 5 has a pvalue of 1

100% probability that the sample mean weight of these 100 bags is less than 18.6 ounces

7 0
3 years ago
tonya is twice kevin's age. in three years tonya will be 17. and in another three years, uncle rob will be three times tonyas ag
atroni [7]
Tonya is 14 (17 - 3) 
<span>Kevin is 7 </span>
<span>Uncle Rob is 51 (3 x 17 = 54, less 3)</span>
3 0
3 years ago
Read 2 more answers
Two brothers, Mark and Walter, each inherit $20000. Mark invests his inheritance in a savings account with an annual return of 2
Igoryamba

Answer:

$720

Step-by-step explanation:

$20000 - 100%

$x. - 2.5%

x=(20000*2.5)/100=500

20000+500=$20500 in one year (Mark)

20000 - 100

x. - 6.1

x= (20000*6.1)/100 = 1220

20000+1220= $21220 (Walter)

21220-20500= $720 more (Walter will have after 1 year)

3 0
2 years ago
What is 70.59 rounded to the nearest whole number
stiks02 [169]

Since there is a 5 to the right of the decimal, you will round the number immediately to the left of the decimal up. So the nearest whole number would be 71.

7 0
3 years ago
Read 2 more answers
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