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yarga [219]
3 years ago
15

Under a dilation, triangle XYZ where X(6, 3), Y(-2, 4), and Z(10, -2) becomes triangle X’Y’Z’ where X’(3, 1.5), Y’(-1, 2), and Z

’(5, -1). What is the scale factor for this dilation?
Mathematics
1 answer:
frutty [35]3 years ago
7 0
The scale factor is 1/2

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svetoff [14.1K]

Answer: Choice [D] - "power of a power" ✅

Step-by-step explanation:

Hii, do you need to know which law you should use to simplify \sf\bigg(x^4\bigg)^9?

No problem!

The law we will use here is "power of a power".

What "power of powers" means is we raise a power to a power, which is exactly what we do here: We raise x^4 to the power of 9. To simplify our expression, we multiply the powers. (\boldsymbol{4\cdot9})

So the right answer is: Choice [D] - "Power of a power"

The simplified answer is \LARGE\boldsymbol{x^{4\cdot9}=x^{36}}

Voila! There's our answer, cheers!

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7 0
2 years ago
You recently took a statistics exam in a large class. The instructor tells the class that the scores were Normally distributed,
Lunna [17]

Answer:

b. the area to the right of 2

Step-by-step explanation:

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, which is also the area to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to the right of Z.

In this problem:

X = 96, \mu = 72, \sigma = 12

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

Z = \frac{96 - 72}{12}

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Percentage who did better:

P(Z > 2), which is the area to the right of 2.

5 0
3 years ago
Greatest to least 3.008 3.825 3.09 3.18
brilliants [131]
3.825,3.18,3.09,3.008
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4 years ago
How do you convert decimals into fractions?
Effectus [21]
Just put it over 100
Example 0.45 = 45/100
5 0
3 years ago
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