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goldenfox [79]
3 years ago
5

Karissa earns $200 per week plus $25 per item she sells. What is the equation that models the relationship between her pay per w

eek and the number of item that she sells? Show steps please!
Mathematics
1 answer:
Digiron [165]3 years ago
4 0
Let p = her pay per week.

<span>"Karissa earns $200 per week plus $25 per item she sells."

She earns a fixed amount of $200 per week no matter how much she sells.
Then she earns an additional variable amount that depends on the number of items she sells. It is $25 per item.

p = fixed amount + variable amount

The variable amount is:
If she sells 1 item, she earns 25 * 1
If she sells 2 items, she earns 25 * 2
If she sells 3 items, she earns 25 * 3
If she sells n items, she earns 25 * n
The variable amount she earns is 25n, where n is the number of items she sells.

</span>
<span>p = fixed amount + variable amount

p = 200 + 25n
</span>
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The diagram shows a circle inside a square.<br> a O<br> 16 cm<br> Work out the area of the circle.
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Answer:

perimeter of circle=2πr

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r=16/2π=8/πcm

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2 years ago
The scale for a map is 20 miles = 1/2 inch. The distance between two towns on the map is 3 3/4 inches. What is the actual distan
zubka84 [21]

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150 miles

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If 1/2 of an inch is 20 miles, we can assume that 1/4 of an inch is 10 miles, since half of 1/2 is 1/4 and 1/2 of 20 is 10.

Equipped with this information, we can divide 3 by 1/2 or multiply 3 by the reciprical, 2/1 to get how much we should multiply 20 by.

3*2=6

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Then we can multiply 10 by 3 and add that on our answer, since there are still 3/4s left and 1/4=10 miles.

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4 0
3 years ago
Based on past experience, a bank believes that 8.9 % of the people who receive loans will not make payments on time. The bank ha
love history [14]

Answer:

To be able to approximate the sampling distribution with a normal model, it is needed that np \geq 10 and n(1-p) \geq 10, and both conditions are satisfied in this problem.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they will make payments on time, or they won't. The probability of a person making the payment on time is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The sampling distribution can be approximated to a normal model if:

np \geq 10 and n(1-p) \geq 10

Based on past experience, a bank believes that 8.9 % of the people who receive loans will not make payments on time.

This means that p = 0.089

The bank has recently approved 220 loans.

This means that n = 220

What must be true to be able to approximate the sampling distribution with a normal model?

np = 220*0.089 = 19.58 \geq 10

n(1-p) = 220*0.911 = 200.42 \geq 10

To be able to approximate the sampling distribution with a normal model, it is needed that np \geq 10 and n(1-p) \geq 10, and both conditions are satisfied in this problem.

3 0
3 years ago
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