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Annette [7]
2 years ago
14

Which phrase best describes the translation from the graph y = 2(x - 15)2 + 3 to the graph of y = 2(x - 11)2 + 3?

Mathematics
2 answers:
musickatia [10]2 years ago
8 0

What change has been caused?

  • y=2(x-15)²+3
  • y=2(x-15+4)²+3
  • y=2(x-11)²+3

Change in x (+4)

Means

  • translation is 4units left

Option A

insens350 [35]2 years ago
5 0

Answer:

translate 4 to the left

Step-by-step explanation:

ED 2022

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By using distance formula (which is attached below), you can solve this problem:

√(x2-x1)^2+(y2-y1)^2

(5, -1) and (5, 3)

√(5-5)^2+(3-(-1))^2

√0^2+4^2

√0+16

√16

4

The distance between the two points is 4.

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During a sale, a shop offered a discount of 10% on the marked prices of all the items. What
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₹2835

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the price would now be ₹1450 - ₹145 = ₹1305

Working out discount of 10% of a shirt at ₹850:

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the price would now be ₹850 - ₹85 = ₹765

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The head of the Westlane Cultural Center wants to get a sense of how quickly pledges from donors arrive at the center. It takes
Rzqust [24]

Answer:

95.64% probability that pledges are received within 40 days

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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 28, \sigma = 7

What is the probability that pledges are received within 40 days

This is the pvalue of Z when X = 40. So

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

Z = \frac{40 - 28}{7}

Z = 1.71

Z = 1.71 has a pvalue of 0.9564

95.64% probability that pledges are received within 40 days

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