Twice a number is decreased by 20 is 50. What is the number?

At Sally's Hair Salon there are three hair stylists. 36% of the hair cuts are done by Chris, 26% are done by Karine, and the res

Marina86 [1]

Answer:

Probability that their hair was done by Amy is 0.475.

Step-by-step explanation:

We are given that Sally's Hair Salon there are three hair stylists. 36% of the hair cuts are done by Chris, 26% are done by Karine, and the rest are done by Amy.

Let the Probability of hair cutting done by Chris = P(C) = 0.36

Probability of hair cutting done by Karine = P(K) = 0.26

Probability of hair cutting done by Amy = P(A) = 0.368

Also, let NS = event that customer is not satisfied with his cutting

So, Probability that customers are not satisfied given that their hair cutting is done by Chris = P(NS/C) = 0.05

Probability that customers are not satisfied given that their hair cutting is done by Karine = P(NS/K) = 0.06

Probability that customers are not satisfied given that their hair cutting is done by Amy = P(NS/A) = 0.08

Now, a customer leaving the salon is selected at random. If the customer is not satisfied, the probability that their hair was done by Amy is given by = P(A/NS)

For finding the above probability we will use the concept of Bayes' Theorem;

SO, P(A/NS) = $\frac{\text{P(A) \times P(NS/A)}}{\text{P(C) \times P(NS/C) + P(K) \times P(NS/K) +P(A) \times P(NS/A) }}$ $\frac{P(A) \times P(NS/A) }{P(C) \times P(NS/C) +P(K) \times P(NS/K) +P(A) \times P(NS/A) }$

= $\frac{0.38 \times 0.08}{0.36 \times 0.05+0.26 \times 0.06+0.38 \times 0.08}$

= $\frac{0.0304}{0.064}$

= <u>0.475</u>

<em>Hence, the probability that their hair was done by Amy is 0.475.</em>

3 0

3 years ago

Find the product of 50×28

barxatty [35]

50 times 28, you will get 1400.

If trying to mental calculate, I would :
28=20+8
50 times 20 = 1000
50 times 8 = 400
Then add them up to 1400.

8 0

3 years ago

What does evaluate mean? I have to do a math problem for a post-test and I don’t know what the heck Evaluate means!

earnstyle [38]

Answer:

Evaluate: to determine or set the value or amount of; appraise: to evaluate the property. to judge or determine the significance, worth, or quality of; assess: to evaluate the results of an experiment. Mathematics. to determine or calculate the numerical value of (a formula, function, relation, etc.).

Hope this helps! Please mark Brainliest!

6 0

3 years ago

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Write the equation of the circle whose center is (-4,8) and has a diameter of 18

svetoff [14.1K]

Answer:

(x + 4)^2 + (y - 8)^2 = 81

or

(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.

Step-by-step explanation:

The standard form for a circle is

(x + h)^2 + (y + k)^2 = r^2

r is the radius.

You are given the diameter

r = d/2

r = 18/2

r = 9

So you already have the right hand side of the equation

(x + h)^2 + (y + k)^2 = 9*2

(x + h)^2 + (y + k)^2 = 81

You basically have h and k as well. They come from the center point.

h = 4

k = - 8

So the equation of the circle (and the answer) is

(x + 4)^2 + (y - 8)^2 = 81

One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.

It is the distance formula that is actually the formula for the circle.

6 0

2 years ago

Select the graph that represents the given set. (Click on the graph until the correct one is showing.) E = {(6, 2), (7, 3), (6,

eduard

Step-by-step explanation:

the answer is second picture because according to the coordinate which is the first number in the bracket is refer to x axis while the number that after comma is for y axis; (x,y)

3 0

3 years ago

Read 2 more answers