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Furkat [3]
1 year ago
13

A dilation has center (0, 0). Find the image of each point for the given scale factor. P(−3,5);D1(P)A. (6,−2)B. (−2,6)C. (−3,5)D

. (5,−3)
Mathematics
1 answer:
Bogdan [553]1 year ago
6 0

We will have the following:

Since the dilation factor given is 1, then the point will remain the same (-3, 5). [Option C]

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3 years ago
Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her universi
romanna [79]

Answer: The p-value is 0.154.

Step-by-step explanation:

Since we have given that

We claim that

Null hypothesis :

H_0:\mu=20

Alternate hypothesis :

H_1:\mu

Population mean = 20 hours

Sample mean = 18.5 hours

Sample standard deviation = 4.3 hours

Sample size n = 35

So, test statistic would be

z=\dfrac{\bar{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\z=\dfrac{18.5-20}{\dfrac{4.3}{\sqrt{35}}}\\\\z=\dfrac{-1.5}{0.726}\\\\z=-2.066

So, the  p value would be 0.154.

Hence, the p-value is 0.154.

4 0
3 years ago
The present age of Sita's father is three times of Sita's present age. After 6 years the sum their age will be 69. Find their pr
Papessa [141]

Age of Sita is 14.25 years and her father is 42.75 years

Step-by-step explanation:

  • Step 1: From given details, let present age of Sita be x and that of her father be 3x.
  • Step 2: Form equations based on their ages in 6 years. (Given sum is 69)

⇒ (x + 6) + (3x + 6) = 69

⇒ 4x + 12 = 69

⇒ 4x = 57

⇒ x = 14.25

  • Step 3: Calculate age of Sita's father

⇒ 3x = 42.75

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Answer:

I think Frog b wins.

Step-by-step explanation:

3 0
3 years ago
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