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Sauron [17]
3 years ago
13

What are the coordinates of point c after the blue figure is rotated 180 degrees counterclockwise around the origin and translat

ed 2 units to the right?

Mathematics
1 answer:
mamaluj [8]3 years ago
3 0

Answer:

(0, - 4 )

Step-by-step explanation:

under a counterclockwise rotation about the origin of 180°

a point (x, y ) → (- x, - y ), hence

C(2, 4) → (- 2, - 4)

A translation of 2 units to the right means add 2 to the original x- coordinate while the y-coordinate remains unchanged.

(- 2, - 4 ) → (- 2 + 2, - 4 ) → (0, - 4 )


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Ky wants to buy three shirts, which were originally priced at $49.96 each. The store will discount the price of the 3rd shirt by
frozen [14]

9514 1404 393

Answer:

  $44.49

Step-by-step explanation:

The total cost before tax will be ...

  $49.96 +49.96 + 0.50(49.96) = $124.90

With tax added, the cost is ...

  $124.90 × 1.071 = $133.77

Then the average cost per shirt for the 3 shirts is ...

  $133.77/3 = $44.59

The mean cost of a shirt is $44.59.

5 0
2 years ago
Read 2 more answers
282736.2816×296.092÷2917=?
Gnom [1K]

Answer:

28699.3318792

Step-by-step explanation:

4 0
3 years ago
Which expression is three less than the product of a number and two,increased by five
Tpy6a [65]

Answer:

(2x+5)-3

Step-by-step explanation:

6 0
2 years ago
Paco bought 3 CDs that cost d dollars each and a pack of gum for C cents. Write an expression for the total cost of his purchase
cupoosta [38]

Answer:

The correct option is A) 3d+C.

Step-by-step explanation:

Consider the provided information.

Paco bought 3 CDs that cost d dollars each.

Let d is the cost of each CDs.

The cost of 3 CDs will be 3 times of d.

This can be written as:

3d

He bought a pack of gum for C cent. Thus, we can say that the cost of pack of gum is C.

Now add the cost of gum in above expression.

3d+C

Hence, the required expression is 3d+C.

Thus, the correct option is A) 3d+C.

3 0
3 years ago
A research study investigated differences between male and female students. Based on the study results, we can assume the popula
garri49 [273]

Using the <u>normal distribution and the central limit theorem</u>, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem:

  • The mean is of \mu = 3.5.
  • The standard deviation is of \sigma = 0.5.
  • Sample of 100, hence n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05

The interval that contains 95.44% of the sample means for male students is <u>between Z = -2 and Z = 2</u>, as the subtraction of their p-values is 0.9544, hence:

Z = -2:

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

By the Central Limit Theorem

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

-2 = \frac{X - 3.5}{0.05}

X - 3.5 = -0.1

X = 3.4

Z = 2:

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

2 = \frac{X - 3.5}{0.05}

X - 3.5 = 0.1

X = 3.6

The interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213

7 0
2 years ago
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