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Komok [63]
1 year ago
8

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solut

ion if x represents the number of days that a library book is late and y represents the total fee?
(–3, –0.90)
Mathematics
1 answer:
Rom4ik [11]1 year ago
5 0

Using a proportional relationship, the ordered pair that is a solution if x represents the number of days that a library book is late and y represents the total fee is:

(3, 0.9).

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For this problem, each day, the free is increased by $0.3, hence the constant is k = 0.3 and the function is:

y = 0.3x.

Then after three days, the total fee is:

y = 0.3 x 3 = 0.9.

And the ordered pair is:

(3, 0.9).

More can be learned about proportional relationships at brainly.com/question/28291848

#SPJ1

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The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.2 years, with a standard devia
elena-14-01-66 [18.8K]

Answer:

a. z-score = -1.2

b. The age 23 years old is -1.2 standard deviations below the mean

c. The age is not unusual

Step-by-step explanation:

a. Transformation to z-score

Mathematically;

z-score = (x - μ)/σ

where σ and μ are the standard deviation and the mean respectively.

From the question, x = 23, μ = 27.2 and σ = 3.5

Let’s put these into the equation;

z-score = (23-27.2)/3.5 = -1.2

b. Interpretation of result

The interpretation is that 23 years old is -1.2 standard deviations below the mean

c. Determination

The age is not unusual. This is because any z-value below -2 or above 2 is considered unusual

-1.2 is above -2 and thus it is not unusual

7 0
2 years ago
Daniel worked for 2 1/3 hours and earned $18.20. How much would he make if he worked for 5 1/4 hours? Enter your answer in the b
Aleks04 [339]
2 1/3hrs→ $18.20
1 hr→ $7.80
5 1/4hrs→ $7.80x5 1/4= $40.95
5 0
2 years ago
Read 2 more answers
What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ?
Sergio039 [100]

The point-slope form:

y-y_1=m(x-x_1)

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-4, -1) and (5, 7). Substitute:

m=\dfrac{7-(-1)}{5-(-4)}=\dfrac{7+1}{5+4}=\dfrac{8}{9}\\\\\boxed{y-7=\dfrac{8}{9}(x-5)}


6 0
2 years ago
Solve for x: 8x + 10 - 5x = 15.
MrRa [10]
<span>8x + 10 - 5x = 15
3x + 10 = 15
3x = 5
  x = 5/3

hope it helps</span>
7 0
3 years ago
Read 2 more answers
Someone please help me i’m so llst
kicyunya [14]

1+2 that what it is im juts joking idek how to solve that

4 0
2 years ago
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