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2 years ago

Circle P and circle Q are similar. What is the scale factor which converts P to Q?

Mathematics

2 answers:

Snowcat [4.5K]2 years ago

5 0

Answer:

The correct option is C and the scale factor which converts P to Q is 3.

Step-by-step explanation:

From the figure it is clear that the diameter of circle P is 1.5 feet and the diameter of circle Q is 4.5 feet.

Circle P is pre-image and circle Q is image.

Scale factor is the proportion of diameter of image and pre-image.

$k=\frac{4.5}{1.5}$

$k=3$

Therefore the scale factor which converts P to Q is 3 and correct option is C.

andriy [413]2 years ago

3 0

Answer: C

Step-by-step explanation:

To find the scale factor between circle P and circle Q, divide the diameter of circle Q by the diameter of circle P, 4.5 ft÷1.5 ft = 3. The scale factor between circle P and circle Q is 3.

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William works at a nearby electronics store. He makes a commission of 6% percent on everything he sells. If he sells a computer

Naddika [18.5K]

Commission earned by William is $ 45.84

<h3><u>Solution:</u></h3>

Given that,

William makes a commission of 6% percent on everything he sells

He sells a computer for $764.00

<em><u>To find: Commission amount of William</u></em>

Given that he makes a commission of 6 % on everything he sells. So he has received a commission of 6 % of $ 764.00

Commission amount of William = 6 % of $ 764.00

a % of b can be written in fraction as $\frac{a}{100} \times b$

$6 \% \text { of } 764=\frac{6}{100} \times 764=0.06 \times 764=45.84$

Thus commission earned by William is $ 45.84

8 0

3 years ago

A manufacturer of televisions subjects the equipment to a comprehensive testing process for all essential functions before the t

Scorpion4ik [409]

Answer:

The probability is $P(X \le 9) =0.9138$

Step-by-step explanation:

From the question we are told that

The probability of the television passing the test is p = 0.95

The sample size is n = 10

Generally the comprehensive testing process for all essential functions follows a binomial distribution

i.e

$X \~ \ \ \ B(n , p)$

and the probability distribution function for binomial distribution is

$P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}$

Here C stands for combination hence we are going to be making use of the combination function in our calculators

Generally the probability that at least 9 pass the test is mathematically represented as

$P(X \le 9) = P(X = 9) + P(X = 10 )$

=> $P(X \le 9) = [^{10}C_9 * (0.95)^9 * (1- 0.95)^{10-9}]+ [^{10}C_{10} * {0.95}^{10} * (1- 0.95)^{10-10}]$

=> $P(X \le 9) = [10 * 0.6302 * 0.05 ]+ [1 *0.5987 * 1 ]$

=> $P(X \le 9) =0.9138$

8 0

2 years ago

A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and

expeople1 [14]

If all were grandstand tickets, revenue would be 0.65*5716 = 3715.40. It was actually 298.50 less than that. Each bleacher ticket sold drops the revenue by .25, so there were 298.50/.25 = 1194 bleacher tickets sold.

3 0

2 years ago

Find the area of the figure

Bogdan [553]

Answer:

A = 1249.5 mm²

Step-by-step explanation:

Total area is sum of area of two trapezoids

A = 13(½(28 + 35)) + 28(½(25 + 35))

A = 409.5 + 840

A = 1249.5 mm²

4 0

2 years ago

What does it mean if the rate of an airplane is modeled by the function f(x) = 1x + 500?

Julli [10]

The questions seems to be lacking some information. By rate I'm going to assume position and in that scenario the answer would be B because the position function is modeled by a linear function.

7 0

3 years ago

Read 2 more answers