The relationship between the sound level in a room and the rate at
which people wake up can be modeled by a linear function as shown.
Which of these best describes the
rate of change of the frequency of
people waking up with respect to
the sound level?
Frequency of People Waking Up
vs. Sound Level
100
8% per 9 decibels
90
80
B
3% per 4 decibels
70
60
9% per 8 decibels
Frequency of People Waking Up (%)
50
40
4% per 3 decibels
30
20
10
0 145
55 65 75 85 95 105 115
Sound Level (decibels)
Answers
Answer:
Step-by-step explanation:
C
The change of the frequency of people waking up with respect to the sound level, 9% per 8 decibels.
What is linear function?Linear function is the function in which the highest power of the unknown variable is one. Linear functions used to model the real life problem in the mathematical expressions.
The linear function with dependent variable y and independent variable x can be written as,
[tex]y=mx +c[/tex]
Here, (m) is the slope of the function and (c) is the y intercept.
The slope can be found out as,
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The sound level is plotted on x-axis and frequency of people walking up (%) is plotted on y-axis. The slope of the line given the rate of change of y values with respect to x value.
In the graph given, the frequency of people walking up is 10 at 55 decibels and 55 at 95 decibels. The point, we get for this line are (55, 10) and (95, 55). Therefore the slope or the change of rate is,
[tex]\dfrac{dy}{dx}=\dfrac{55-10}{95-55}\\\dfrac{dy}{dx}=\dfrac{45}{40}\\\dfrac{dy}{dx}=\dfrac{9}{8}[/tex]
Hence, the change of the frequency of people waking up with respect to the sound level, 9% per 8 decibels.
Learn more about the linear function here;
https://brainly.com/question/15602982
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A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows: Money-market 25% High-risk stock 10% Moderate-risk stock 15% Short bond 12% Intermediate bond 7% Long bond 8% Balanced 23% A customer who owns shares in just one fund is randomly selected. a) What is the probability that the selected individual owns shares in the balanced fund? For your answer, please report the answer in decimals. For example, 50% would be submitted as .5.
Answers
Part b and c are missing and they are;
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Answer:
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B) P(bond fund) = 0.27
C) P(no stock fund) = 0.75
Step-by-step explanation:
We are given the percentages of customers in the different funds as follows:
Money-market: 25%
High-risk stock: 10%
Moderate-risk stock: 15%
Short bond: 12%
Intermediate bond: 7%
Long bond: 8%
Balanced: 23%
A) From the percentages given, we can see that the balanced fund is 23%.
Thus,this represents the probability as addition of all the given percentages gives 100%
Thus, probability that the selected individual owns shares in the balanced fund is;
P(balanced fund) = 23% = 0.23
B) From the percentages given, bond funds given are;
Short bond: 12%
Intermediate bond: 7%
Long bond: 8%
Thus,
probability that the individual owns shares in a bond fund is;
P(bond fund) = 12% + 7% + 8%
P(bond fund) = 27% = 0.27
C) Probability that the selected individual doesn't own shares in a stock fund is;
P(no stock fund) = 1 - P(stuck fund)
P(stuck fund) = High-risk stock +
Moderate-risk stock = 10% + 15% = 25% = 0.25
Thus;
P(no stock fund) = 1 - 0.25 = 0.75
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
This is the correct question:
Jessica has 120 stamps in a collection she bought 60 more Jessica wants to place the stamps equally and 6 pages of a book how many stamps will be on each page of the book
Total stamps = 120 + 60
= 180
Jessica wants to place the stamps equally on 6 pages of a book
how many stamps will be on each page of the book?
Each page of the book = Total stamps / number of pages in the book
= 180 / 6
= 30
Each page of the book will have 30 stamps each
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Step-by-step explanation: