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4 years ago

Q’R’S’ is the image of QRS under a dilation through point C. What scale factor was used in the dilation?

Mathematics

2 answers:

ad-work [718]4 years ago

7 0

-4 i believe is the answer

nalin [4]4 years ago

5 0

Answer:

-4

Step-by-step explanation:

done the topic, got it correct

You might be interested in

Andre and Priya are tracking the number of steps they walk. Andre records that he can walk 6000 steps in 50 minutes. Priya write

Bogdan [553]

Let's start by calculating the number of steps Andre walked. He recorded that he can walk 6000 steps in 50 minutes, which means that he can walk 6000/50=120 steps per minute. 5 hours = 5*60 = 300 minutes. So Andre has walked 120 * 300 = 36 000 steps.

Priya writes the equation y=118x in which y is the number of steps and x is the number of minutes. As already stated, 5 hours = 300 minutes. So x = 300. We replace x by its value and we get y = 118x = 118*300 = 35400 steps.

36000>34500 so Andre has walked more steps than Priya.

Hope this helps! :)

7 0

3 years ago

The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen

vfiekz [6]

Answer:

a) 0.2581

b) 0.4148

c) 17

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$p = 0.75$

a. If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X = 9)$ when $n = 12$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{12,9}.(0.75)^{9}.(0.25)^{3} = 0.2581$

b. If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X \geq 16)$ when $n = 20$

$P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 16) = C_{20,16}.(0.75)^{16}.(0.25)^{4} = 0.1897$

$P(X = 17) = C_{20,17}.(0.75)^{17}.(0.25)^{3} = 0.1339$

$P(X = 18) = C_{20,18}.(0.75)^{18}.(0.25)^{2} = 0.0669$

$P(X = 19) = C_{20,19}.(0.75)^{19}.(0.25)^{1} = 0.0211$

$P(X = 20) = C_{20,20}.(0.75)^{20}.(0.25)^{0} = 0.0032$

$P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1897 + 0.1339 + 0.0669 + 0.0211 + 0.0032 = 0.4148$

c. If you call 22 times, what is the mean number of calls that are answered in less than 30 seconds? Round your answer to the nearest integer.

The expected value of the binomial distribution is:

$E(X) = np$

In this question, we have $n = 22$

$E(X) = 22*0.75 = 16.5$

The closest integer to 16.5 is 17.

7 0

3 years ago

The sixth grade class has 18 boys and 24 girls. The teacher wants to divide them into groups that have the same number of boys a

Doss [256]

Answer:

The teacher can make 7 groups of 6 students

Step-by-step explanation:

24+18= 42. The biggest number you can use to divide and get a real number is 7.

6 0

3 years ago

Please explain what mark up is to me. Keep it simple

iogann1982 [59]

Hey there!

Markup is the percentage that the cost of an item is increased.

For example, if a company bought a pair of headphones that costed $100 and they sold it for $150, the markup was 50%, since half of the original cost was added. if the markup were 100% it would have been sold for $200, since it added 100% of the original.

I hope this helps!

8 0

3 years ago

Suppose Nancy has 15 sorts of colors black, red, and of wschure black and were

Mandarinka [93]

Answer:

Hi there here is the answer!

Step-by-step explanation:

Out of the 3 main chioces there is a total of 15!

so, it would be a probability of <em>5/15. or 1/3 / 1:3</em>

4 0

3 years ago