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harkovskaia [24]
4 years ago
8

△QRS is rotated about point P to △Q′R′S′ .

Mathematics
1 answer:
swat324 years ago
6 0

A rotation is a transformation that preserves figure shape, figure sizes, angles and lengths.

Therefore,

  • option A is false, because rotation preserves sizes;
  • option B is false, because rotation doesn't change the figure size;
  • option C is true, because rotation preserves figure angles;
  • option D is true, because rotation preserves lenghts of segments.

Answer: option C and D.

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A set of data with a mean of 53, and a standard deviation of 6.2 is normally distributed. Find the value of a data point that is
Evgesh-ka [11]

The value of a data point that is -2 standard deviations from the mean

so, 40.6 to 65.4.

<h3>What is the empirical rule?</h3>

According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.

P(\mu - \sigma < X < \mu + \sigma)  \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma)  \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma)  \approx 99.7\%

From the empirical rule, we know that for 95% we are in 2 standard deviations of the mean. so:

= 53- 6.2- 6.2

= 40.6

The value of a data point that is -2 standard deviations from the mean

53 + 6.2 + 6.2

= 65.4

Learn more about the empirical rule here:

brainly.com/question/13676793

#SPJ2

7 0
2 years ago
What is the value of the function at x = 3?<br><br> Enter your answer in the box.
SOVA2 [1]

Answer:

4

Step-by-step explanation:

REMEMBER: Y is = f(x).

So the function is equal to the y value.

When x is 3, y is (if you go up the line intersects at) 4.

The value of he function when x = 3 is 4.

7 0
4 years ago
Read 2 more answers
Scores on the Critical Reading portion of the SAT college entrance test in a recent year were roughly Normal with mean 496 and s
Sliva [168]

Answer:

C. 115 / square of 100 = 11.5

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\sigma = 115, n = 100. So

s = \frac{115}{\sqrt{100}} = 11.5

So the correct answer is:

C. 115 / square of 100 = 11.5

5 0
3 years ago
What does how many more mean
blsea [12.9K]
<span>how many more means greater than.</span>
6 0
3 years ago
Martha deposited $385.25 into her bank account. After her deposit, there was $832.48 in Martha's account. How much money did Mar
ozzi

Answer:

447.23

Step-by-step explanation:

832.48 - 385.25

5 0
3 years ago
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