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kow [346]
3 years ago
15

A triangle with vertices at (0,4), (3,5), and (2, -l) is rotated 90 degree counterclockwise about the origin. What are the verti

ces of the image?

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
5 0

Answer:

(0,4) \implies (-4, 0)\\(3,5) \implies (-5,3)\\(2,-1) \implies (1,2)

Step-by-step explanation:

A 90° counterclockwise rotation is defined as

(x,y) \implies (-y,x)

The given coordinates are

(0,4)\\(3,5)\\(2,-1)

Applying the 90° counterclockwise rotation, we have

(0,4) \implies (-4, 0)\\(3,5) \implies (-5,3)\\(2,-1) \implies (1,2)

The image attached show both figures.

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Hey there! As far as I understand the problem, she made $2,200 in profit. Take 1,375 and multiply it by 1.6.

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Every 3 hours, a machine produces 60 baskets what is the unit rate
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20 per hour

Step-by-step explanation:

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The Wall Street Journal reports that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deduction
Len [333]

Answer:

(a) <em>                             </em><em>n</em> :      20           50          100         500

P (-200 < <em>X</em> - <em>μ </em>< 200) : 0.2886    0.4444    0.5954    0.9376

(b) The correct option is (b).

Step-by-step explanation:

Let the random variable <em>X</em> represent the amount of deductions for taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return.

The mean amount of deductions is, <em>μ</em> = $16,642 and standard deviation is, <em>σ</em> = $2,400.

Assuming that the random variable <em>X </em>follows a normal distribution.

(a)

Compute the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $200 of the population mean as follows:

  • For a sample size of <em>n</em> = 20

P(\mu-200

                                           =P(-0.37

  • For a sample size of <em>n</em> = 50

P(\mu-200

                                           =P(-0.59

  • For a sample size of <em>n</em> = 100

P(\mu-200

                                           =P(-0.83

  • For a sample size of <em>n</em> = 500

P(\mu-200

                                           =P(-1.86

<em>                                  n</em> :      20           50          100         500

P (-200 < <em>X</em> - <em>μ </em>< 200) : 0.2886    0.4444    0.5954    0.9376

(b)

The law of large numbers, in probability concept, states that as we increase the sample size, the mean of the sample (\bar x) approaches the whole population mean (\mu_{x}).

Consider the probabilities computed in part (a).

As the sample size increases from 20 to 500 the probability that the sample mean is within $200 of the population mean gets closer to 1.

So, a larger sample increases the probability that the sample mean will be within a specified distance of the population mean.

Thus, the correct option is (b).

8 0
3 years ago
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Savatey [412]

Answer:

Y-intercept

Step-by-step explanation:

The y-intercept is the part of the line that crosses the y-axis.

The red dot (where the arrow is pointing to) is the y intercept

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dlinn [17]

Answer:

the answer is c now mark me brainliest please.

Step-by-step explanation:

all sides are congruent and it is a parallelogram.

8 0
3 years ago
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