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2 years ago

SOMEONE PLEASE HELP ME ON QUESTIONS 17-19 I NEED ASAP

Mathematics

1 answer:

Lana71 [14]2 years ago

8 0

Answer:

17. 10x+24 OR 108 18. 72 19. 8.4

Step-by-step explanation:

(10x+24)+72=180

10x+96=180

10x=84

x=8.4

10x+24

10(8.4)+24

84+24

108

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2 years ago

Suppose that a cell phone monthly rate plan costs the user 5 cents per minute beyond a fixed monthly fee of $20. This implies th

nikdorinn [45]

Answer:

y = 20 + .5x

Step-by-step explanation:

Suppose that a cell phone monthly rate plan costs the user 5 cents per minute beyond a fixed monthly fee of $20. This implies that the relationship between monthly cost and monthly number of minutes is linear. Write an equation that relates total monthly cost to monthly minutes used.

Fixed monthly fee = $20

Fee per minute = $0.5

Number of minutes = x

Variable monthly cost = 0.5x

Let Total monthly cost = y

Total monthly cost = fixed monthly cost + variable monthly cost

y = 20 + .5x

Equation that relates total monthly cost to monthly minutes used is y = 20 + .5x

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2 years ago

If I chose a number uniformly from the integers from 1 to 25, calculate the conditional probability that the number is a multipl

topjm [15]

Answer:

Step-by-step explanation:

If I choose a number from the integers 1 to 25, the total number of integers I can pick is the total outcome which is 25. n(U) = 25

Let the probability that the number chosen at random is a multiple of 6 be P(A) and the probability that the number chosen at random is is larger than 18 be P(B)

P(A) = P(multiple of 6)

P(B) = P(number larger than 18)

A = {6, 12, 18, 24}

B = {19, 20, 21, 22, 23, 24, 25}

The conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is expressed as P(A|B).

P(A|B) = P(A∩B)/P(B)

Since probability = expected outcome/total outcome

A∩B = {24}

n(A∩B) = 1

P(A∩B) = n(A∩B)/n(U)

P(A∩B) = 1/25

Given B = {19, 20, 21, 22, 23, 24, 25}.

n(B) = 7

p(B) = n(B)/n(U)

p(B) = 7/25

Since P(A|B) = P(A∩B)/P(B)

P(A|B) = (1/25)/(7/24)

P(A|B) = 1/25*25/7

P(A|B) = 1/7

<em>Hence the conditional probability that the number is a multiple of 6 (including 6) given that it is larger than 18 is 1/7</em>

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2 years ago

How much interest does $400 make in 5 years at 7% per annum?

ZanzabumX [31]

Answer:

$112

Step-by-step explanation:

7% for each year = $28

7% for four years = $28.4= $112

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2 years ago

Select the correct answer from each drop-down menu.

kifflom [539]

Answer:

0.83
0.9
steeper than
slower than

Step-by-step explanation:

Letting t=1 in Ted's equation, we find that he climbs 5/6 stairs in 1 second. As a decimal, 5/6 ≈ 0.83.

Michael climbs 9 stairs in 10 seconds so his rate is ...

... (9 stairs)/(10 seconds) = (9/10) stairs/second = 0.9 stairs/second

Michael's graph will be a line with a slope of 0.9; Ted's graph will be a line with a slope of about 0.83, so the line on Michael's graph is steeper.

Ted climbs fewer stairs per second, so his rate is slower than Michael's.

_____

<em>Comment on the problem</em>

You're being asked to compare two different rates that are associated with two different people. First the comparison is one way, then it is the other way. This can be confusing. It might be helpful to draw and label a simple chart to help you keep it straight. (The attachment is such a chart scribbled on a bit of scratch paper. It is sufficient for the purpose.)

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2 years ago