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Snezhnost [94]
3 years ago
13

A quality assurance specialist makes $22 an hour for the first 40 hours she works during a week and $29 an hour for each hour wo

rked over 40 hours. Which piecewise equation models her total weekly pay y in dollars as it relates to the number of hours x that she has worked during the week?

Mathematics
1 answer:
Elenna [48]3 years ago
3 0

Answer:

This is the answer on APEX. Hope it helps!!

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Find the value of x.
elena-s [515]
Hi there!

Using the formula - n-2*180 -, we know that the interior angles of a pentagon add up to 540. We can use the values we're given and add them together and set them all equal to 540, then solve.

WORK:
540 = 204 + 12x 
336 = 12x
x = 28

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
8 0
3 years ago
Graph the line with the equation y = 5/6 x – 1.
Nimfa-mama [501]

Answer:

do you want me to answer the equation and graph it or only graph it?

Step-by-step explanation:

this is the graph to y=5/6x-1:

3 0
3 years ago
Aja's favorite cereal is running a promotion that says 111-in-444 boxes of the cereal contain a prize. Suppose that Aja is going
Bond [772]

Using the binomial distribution, there is a 0.6328 = 63.28% probability that she wins at most 1 prize.

For each box, there are only two possible outcomes, either it has a prize, or it does not. The probability of a box having a prize is independent of any other box, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • She buys 5 boxes, hence n = 5
  • 1 in 4 boxes has a prize, hence p = \frac{1}{4} = 0.25

The probability is:

P(X \leq 1) = P(X = 0) + P(X = 1)

Hence:

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

P(X = 0) = C_{5,0}.(0.25)^{0}.(0.75)^{5} = 0.2373

P(X = 1) = C_{5,1}.(0.25)^{1}.(0.75)^{4} = 0.3955

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.2373 + 0.3955 = 0.6328

0.6328 = 63.28% probability that she wins at most 1 prize.

A similar problem is given at brainly.com/question/24863377

6 0
2 years ago
I need to get the answer and steps
Scilla [17]
Here is for you
happy new year

5 0
3 years ago
Adam and his dad share the cost of the meal in the ratio of 2:3. Adam’s dad pays £52.20. What is the total cost of the meal
Ne4ueva [31]
We have to calculate the total cost of the meal. We know that Adam ( A ) and his dad ( D ) share the cost of the meal in the ratio 2 : 3 and that Adam`s dad pays 52.20 Pounds. So A : D = 2 : 3; A : 52.20 = 2 : 3. Using the cross products, A * 3 = 2 * 52.20; A * 3 = 104.40; A = 104.40 : 3; A = 34.80 Pounds. Finally, A + D = 34.80 + 52.20 = 87.00. Answer: The total cost of the meal is 87 Pounds<span>. </span>
6 0
3 years ago
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