The function f is onto.
To determine if the function f is one-to-one, we need to check if each element in the domain maps to a unique element in the range. Looking at the function, we can see that f(a) = 1, f(b) = 2, f(c) = 3, and f(d) = 3. Since two elements in the domain (c and d) map to the same element in the range (3), the function f is not one-to-one.
To determine if the function f is onto, we need to check if every element in the range is mapped to by at least one element in the domain. Looking at the function, we can see that all four elements in the range (1, 2, 3, and 4) are mapped to by at least one element in the domain. Therefore, the function f is onto.
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According to the authors of a certain book, in a global village of 250 people, 35 suffer from malnutrition. How many people of the
world's 6.9 billion people (2010 population) suffer from malnutrition?
The number of people of the world's population that suffer from malnutrition is
(Type an integer or decimal rounded to the nearest hundredth as needed.)
billion.
Answer:
The answer is, 0.97 billion people would be suffering from malnutrition
Step-by-step explanation:
25. Which is the solution set of the equation
2x² + 3x - 2 = 0?
(1) (-1/2,2}
(2) {1/2,-2}
(3) {1/2,2}
(4) {-1/2,-2}
Answer:
(2) {1/2,-2}
Step-by-step explanation:
2x² + 3x - 2 = 0
Delta = b² - 4ac
= 3² - 4 (2)(-2)
= 9 + 16
Delta = 25
[tex] \sqrt{25} = 5[/tex]
X= -3-5÷4 = -2
X'= -3+5÷4 = 2/4 = 1/2
S = { 1/2 ; -2 }
Answer:
Step-by-step explanation:
2x² + 3x - 2 = 0
2x² -x +4x - 2 = 0
(2x² -x) +(4x - 2) = 0
x(2x -1) +2(2x -1) = 0
(x +2)(2x-1) =0
(x +2) =0
x = -2
OR
(2x-1) =0
x = 1/2
ans: (2) (1/2, -2)
Label the net for the cylinder. Then find the surface area of the cylinder. Give your answer in terms of π and as a decimal number rounded to the nearest tenth.
The surface area of the cylinder is approximately 94.2 ft².
What is surface area?Surface area refers to the total area of the external or outer part of an object. It is the sum of the areas of all the individual surfaces or faces of the object. Surface area is typically measured in square units, such as square inches (in²), square feet (ft²), or square meters (m²), depending on the unit of measurement used.
According to the given information:
The surface area of a cylinder is the sum of the lateral surface area (the curved surface) and the area of the two circular bases.
The formula for the lateral surface area of a cylinder is given:
Lateral Surface Area = 2πrh
where r is the radius of the cylinder and h is the height of the cylinder.
Plugging in the given values for the radius (r = 3 ft) and height (h = 2 ft), we can calculate the lateral surface area:
Lateral Surface Area = 2π * 3 * 2 = 12π ft²
The formula for the area of a circle (which represents the bases of the cylinder) is given:
Circle Area = πr²
Plugging in the given value for the radius (r = 3 ft), we can calculate the area of each circular base:
Circle Area = π * 3² = 9π ft²
Since there are two bases in a cylinder, we multiply this by 2 to account for both bases:
2 * Circle Area = 2 * 9π = 18π ft²
Now, we can add the lateral surface area and the area of the two bases to find the total surface area of the cylinder:
Total Surface Area = Lateral Surface Area + 2 * Circle Area
= 12π + 18π
= 30π ft²
As a decimal rounded to the nearest tenth, the surface area of the cylinder is approximately 94.2 ft²
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In art class students are mixing black and white paint to make gray paint. Hassan mixes 2 cups of black paint and 3 cups of white paint. Aaliyah mixes 4 cups of black paint and 5 cups of white paint. Use Hassan and Aaliyah’s proportions of black paint to determine whose gray paint will be darker.
Hassan black paint proportion (out of total) as fraction =
Aaliyah black paint proportion (out of total) as fraction =
Hassan’s gray paint will be darker.
Aaliyah’s gray paint will be darker.
The two gray paints will be equally dark.
attempt 1 out of 2
Miracle Jackson
Which is more? (Fraction Comparison)
Apr 11, 8:08:47 AM
Watch help video
In art class students are mixing black and white paint to make gray paint. Hassan mixes 2 cups of black paint and 3 cups of white paint. Aaliyah mixes 4 cups of black paint and 5 cups of white paint. Use Hassan and Aaliyah’s proportions of black paint to determine whose gray paint will be darker.
$x$$y$$($$)$
$=$$\surd$$a^{2}$$a^{b}$
$7$$8$$9$$\div$
$4$
The correct answer is: Aaliyah’s gray paint will be darker.
What is proportion?
In mathematics, a proportion is an equation that states that two ratios are equal. A ratio is a comparison of two numbers or quantities that are usually written in the form of a fraction. For example, the ratio of apples to oranges in a basket could be written as 3/5, meaning that there are three apples for every five oranges.
Hassan mixed 2 cups of black paint and 3 cups of white paint, so the total amount of paint he mixed is 2 + 3 = 5 cups. The proportion of black paint in his mixture is 2/5.
Aaliyah mixed 4 cups of black paint and 5 cups of white paint, so the total amount of paint she mixed is 4 + 5 = 9 cups. The proportion of black paint in her mixture is 4/9.
Comparing the two proportions, we see that Aaliyah's proportion of black paint is greater than Hassan's proportion of black paint, so Aaliyah's gray paint will be darker.
Therefore, the correct answer is: Aaliyah’s gray paint will be darker.
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Which of the following choices describes the function?
an exponential function that is decreasing.
a quadratic function that is increasing then decreasing.
a quadratic function that is decreasing then increasing.
None of these choices are correct.
Answer: The function that is an exponential function that is decreasing is described as:
an exponential function that is decreasing.
A quadratic function that is increasing then decreasing would have a U-shaped graph, and a quadratic function that is decreasing then increasing would have an inverted U-shaped graph. However, neither of these options describes an exponential function that is decreasing.
Therefore, the correct choice is: an exponential function that is decreasing.
Step-by-step explanation:
I need help on this I can’t figure it out
Answer:
[tex]r = \sqrt{ {( 4 - 3)}^{2} + {(( - 1) - ( - 4))}^{2} } [/tex]
[tex]r = \sqrt{ {1}^{2} + {3}^{2} } [/tex]
[tex] r = \sqrt{1 + 9} = \sqrt{10} [/tex]
So the equation for this circle is
[tex] {(x + 4)}^{2} + {(y - 3)}^{2} = 10 [/tex]
write down in terms of n an expression for the nth term of the sequence -7 -12 -17 -22 -27
Answer:
[tex]a_{n}[/tex] = - 5n - 2
Step-by-step explanation:
there is a common difference between consecutive terms , that is
a₂ - a₁ = - 12 - (- 7) = - 12 + 7 = - 5
a₃ - a₂ = - 17 - (- 12) = - 17 + 12 = - 5
a₄ - a₃ = - 22 - (- 17) = - 22 + 17 = - 5
a₅ - a₄ = - 27 - (- 22) = - 27 + 22 = - 5
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + d(n - 1)
a₁ is the first term and d the common difference
here a₁ = - 7 and d = - 5 , then
[tex]a_{n}[/tex] = - 7 - 5(n - 1) = - 7 - 5n + 5 = - 5n - 2
the box plots below show the heights (in centimeters) of the players on the university of maryland women's basketball and field hockey teams. 2 horizontal boxplots titled basketball team and field hockey team are graphed on the same horizontal axis, labeled height, in centimeters. the boxplot titled basketball team has a left whisker which extends from 165 to 173. the box extends from 173 to 191 and is divided into 2 parts by a vertical line segment at 188. the right whisker extends from 191 to 203. the boxplot titled field hockey team has a left whisker which extends from 157 to 160. the box extends from 160 to 168 and is divided into 2 parts by a vertical line segment at 163. the right whisker extends from 168 to 178. all values estimated. which pieces of information can be gathered from these box plots? choose all answers that apply: choose all answers that apply: (choice a) the basketball players are taller on average. a the basketball players are taller on average. (choice b) the heights of the basketball players vary noticeably more than those of the field hockey team. b the heights of the basketball players vary noticeably more than those of the field hockey team. (choice c) none of the above c none of the above
Pieces of information can be gathered from these box plots are:
(a) On average, the basketball players are taller.
(b) The heights of the basketball players vary noticeably, more than field hockey team.
What is indetail explaination of the both answer?From the given information, we can gather the following pieces of information:
(a) The basketball players are taller on average. This can be inferred from the fact that the median (the vertical line segment within the box) of the basketball team's heights (188 cm) is higher than the median of the field hockey team's heights (163 cm).
(b) The heights of the basketball players vary noticeably more than those of the field hockey team.
This can be inferred from the interquartile range (IQR) of the basketball team's heights, which is from 173 cm to 191 cm (a difference of 18 cm), and the IQR of the field hockey team's heights, which is from 160 cm to 168 cm (a difference of 8 cm).
Additionally, the whiskers of the basketball team's boxplot are longer than those of the field hockey team's boxplot, indicating that there is greater variability in the heights of the basketball players.
Therefore, the correct answers are (a) the basketball players are taller on average and (b) the heights of the basketball players vary noticeably more than those of the field hockey team.
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7. Suppose that there is a rumour going around
your school that next year all weekends will
be extended to three days. Initially, on day 0,
five students know the rumour. Suppose that
each person who knows the rumour tells two
more students the day after they hear about
it. Also assume that no-one hears the rumour
more than once.
a) How many people will learn about the
rumour
i) on day 1?
ii) on day 2?
On day 1, each of the 5 people tells 2 more people, so 5 x 2 = 10 people now know the rumor, including the original 5.
a) How many people will learn about the rumour
i) on day 1?a) Let's first consider how the number of people who know the rumor grows each day:
On day 0, 5 people know the rumor.
On day 1, each of the 5 people tells 2 more people, so 5 x 2 = 10 people now know the rumor, including the original 5.
On day 2, each of the 10 people tells 2 more people, so 10 x 2 = 20 people now know the rumor, including the original 5 and the 10 from day 1.
i) Therefore, on day 1, a total of 10 people will know the rumor.
ii) On day 2, a total of 20 people will know the rumor.
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pyriamid a square base that measures 140 m on each side. the height is 91 m. what is the volume of the pyramid?
The volume of the pyramid is approximately 574,533.33 cubic meters.
To find the volume of a pyramid, you use the formula: V = (1/3) × base area × height, where B is the area of the base and h is the height of the pyramid.
Given that the side length of the square base is 140 m and the height is 91 m.
Since the base of the pyramid is a square with a side length of 140 m, we can find its area by multiplying the side lengths: B = 140m x 140m = 19,600 square meters.
By calculating this expression, you'll find the volume of the pyramid.
Now we can plug in the values for B and h into the formula: V = (1/3)(19,600 square meters)(91 meters) = 574,533.33 cubic meters.
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in the regression of the general fertility rate (gfr) on the tax personal exemption (pe) and its first lag the fitted regression is: what is the impact propensity?
The impact propensity can be interpreted as the slope coefficient for the tax personal exemption (pe) or its first lag in
the regression equation.
To determine the impact propensity in the regression of the general fertility rate (GFR) on the tax personal exemption
(PE) and its first lag, you should follow these steps:
Estimate the regression model using the available data. The model should look like this:
GFR = β0 + β1 × PE + β2 × PE_lag + ε
Where GFR is the general fertility rate, PE is the tax personal exemption, PE_lag is the tax personal exemption's first
lag, and ε is the error term.
Obtain the estimated coefficients (β0, β1, and β2) from the fitted regression model.
These coefficients will help you determine the impact propensity.
Calculate the impact propensity. The impact propensity in this context refers to the change in the general fertility rate
resulting from a one-unit increase in the tax personal exemption, taking into account both its current and lagged
effects.
To find the impact propensity, sum the coefficients for the tax personal exemption and its first lag:
Impact propensity = β1 + β2
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9. You practice the drums for hour two times each day. How long will you practice the drums in 1 week? O 11 hours O 10 hours 10 1/2 hours 11 1/2 hours
Answer:
11 1/2
Step-by-step explanation:
Can someone help me asap? It’s due tomorrow. I will give brainliest if it’s correct!!
The sampling technique used is given as follows:
Convenience sampling.
How are samples classified?A convenient sample is drawn from a conveniently available pool of options, as is the example of the friends of a person.A random sample is equivalent to placing all options into a hat and taking some of them.In a systematic sample, every kth element of the sample is taken.Cluster sampling divides population into groups, called clusters, and each element of the group is surveyed.Stratified sampling also divides the population into groups. However, an equal proportion of each group is surveyed.More can be learned about sampling techniques at https://brainly.com/question/9910540
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a large sample of x-y data values are analyzed and reveal a correlation coefficient of-.88. which statement is correct? group of answer choices a weak negative relationship exists. the correlation is weak because r is less than -1. if r had been .88, the correlation would have been much stronger. there is no relation. a fairly strong negative linear relationship exists. *
The correct statement is that a fairly strong negative linear relationship exists between the x and y variables.
How to find the relationship between the x and y variables of correlation coefficient?The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.
In this case, the correlation coefficient is -0.88, which indicates a strong negative linear relationship between the x and y variables. This means that as the value of x increases, the value of y decreases in a predictable manner.
The negative sign of the correlation coefficient indicates that the relationship is negative, meaning that as one variable increases, the other variable tends to decrease. The absolute value of the correlation coefficient, 0.88, indicates a strong relationship, meaning that the values of the two variables are closely related and can be used to predict each other's values.
Therefore, the correct statement is that a fairly strong negative linear relationship exists between the x and y variables.
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Happy birthday Rainbowww :)
Question: What is the pathagorean therom?
Answer: c=a2+b2
Step-by-step explanation:
y+5=2(x+1) what is the X and Y intercept
the town council wants to estimate the proportion of all adults in their medium-sized town who favor a tax increase to support the local school system. which of the following sampling plans is most appropriate for estimating this proportion? a random sample of 250 names from the local phone book a random sample of 200 parents whose children attend one of the local schools a sample consisting of 500 people from the city who take an online survey about the issue a random sample of 300 homeowners in the town a random sample of 100 people from an alphabetical list of all adults who live in the town
The most appropriate sampling plan for estimating the proportion of all adults in the medium-sized town who favor a tax increase to support the local school system is D) a random sample of 100 people from an alphabetical list of all adults who live in the town.
A random sample is needed to ensure that each member of the population has an equal chance of being included in the sample. Among the given options, a random sample of 100 people from an alphabetical list of all adults who live in the town is the most appropriate because it is a representative sample of the entire population of adults in the town.
The other options have potential sources of bias, as follows:
A random sample of 250 names from the local phone book may exclude people who do not have a phone or whose numbers are unlisted.
A random sample of 200 parents whose children attend one of the local schools may be biased towards those who have children in the school system, which may not accurately represent the views of all adults in the town.
A sample consisting of 500 people from the city who take an online survey about the issue may only capture the opinions of those who have access to the internet and are willing to participate in the survey, which may not represent the views of all adults in the town.
A random sample of 300 homeowners in the town may be biased towards those who own homes, which may not represent the views of all adults in the town.
Therefore, a random sample of 100 people from an alphabetical list of all adults who live in the town is the most appropriate sampling plan for estimating the proportion of all adults in the medium-sized town who favor a tax increase to support the local school system. So d is correct option.
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a production process produces 2.5% defective parts. a sample of five parts from the production process is selected. what is the probability that the sample contains exactly two defective parts? group of answer choices 0.2637 0.0058 0.0000 0.0250
The probability that the sample contains exactly two defective parts is 0.0058.
We may utilize the binomial probability formula to resolve this issue:
P(X = k) is equal to (n pick k) * p * k * (1-p) (n-k)
where n is the sample size, k denotes the number of successes, p denotes the likelihood that a success will occur, and (n pick k) denotes the binomial coefficient, which indicates the number of possible ways to select item k from n.
Here, n = 5, k = 2, and p = 0.025 (due to the fact that 2.5% of the pieces are flawed).
P(X = 2) therefore equals (5 pick 2)*0.025*2*(1 - 0.025)*3
We calculate P(X = 2) = 0.0058 using a calculator.
As a result, there is a 0.0058 percent chance that the sample has exactly two defective components.
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Determine the domain of the variable x in the given expression.
x-12/x+49
The domain of the variable x is all real numbers except -49. In interval notation, the domain can be written as: (-∞, -49) U (-49, ∞)
What is domain?In mathematics, the domain of a function is the set of all possible input values (usually represented by the variable x) for which the function is defined. It is the set of all values that can be substituted for the independent variable in a function to produce a valid output. The domain of a function is often restricted by the context in which it is being used, such as the type of problem or the natural limitations of the situation.
According to given information:The given expression is (x-12)/(x+49).
The denominator of the expression is x + 49. The denominator cannot be equal to 0, as division by 0 is undefined. Therefore, x + 49 ≠ 0.
Solving for x, we get:
x ≠ -49
Therefore, the domain of the variable x is all real numbers except -49. In interval notation, the domain can be written as:
(-∞, -49) U (-49, ∞)
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Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto's average speed was 0.25 miles per minute and Riko's average speed was 0.35 miles per minute, then Riko will be behind Yuto when 0
Yuto and Riko will meet 73.5 minutes after Yuto started riding, or 52.5 minutes after Riko started riding.
How to find distance when rate and time are given?
We can find the distance by following formula ,
Distance = rate × time
Let t be the time in minutes that Riko rides until she catches up with Yuto. At that time, Yuto will have also ridden for t minutes, plus the additional time it took for him to get to his starting point, which we don't know yet.
The distance Riko covers in t minutes is
distance = rate × time
distance = 0.35 miles/minute × t minutes
distance = 0.35t miles
At the time that Riko catches up with Yuto, Yuto will have ridden a total distance,
distance = rate × time + distance from starting point
distance = 0.25t + 5.25 miles
Since Riko catches up with Yuto at the same location, their distances will be equal. So we can set the two expressions for distance equal to each other,
0.35t = 0.25t + 5.25
Simplifying this equation,
0.1t = 5.25
t = 52.5 minutes
So, Riko will catch up with Yuto 52.5 minutes after she starts riding. To find out when they will meet, we can add 52.5 minutes to Yuto's starting time. Since Yuto's speed is 0.25 miles/minute, he covers 5.25 miles in
time = distance / rate
time = 5.25 miles / 0.25 miles/minute
time = 21 minutes
So Yuto started riding 21 minutes before Riko, which means they will meet,
meeting time = Riko's starting time + time to catch up
meeting time = Yuto's starting time + 52.5 minutes
meeting time = 21 minutes + 52.5 minutes
meeting time = 73.5 minutes
Therefore, Yuto and Riko will meet 73.5 minutes after Yuto started riding, or 52.5 minutes after Riko started riding.
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Correct question is "Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto's average speed was 0.25 miles per minute and Riko's average speed was 0.35 miles per minute, then Riko will be behind Yuto when 0 . When will they meet?"
how many distinguishable outcomes are there when rolling five distingusihable dice where no number appears more than once?
there are 120 distinguishable outcomes when rolling five distinguishable dice where no number appears more than once.
When rolling five distinguishable dice where no number appears more than once, we are essentially looking for the number of permutations of a set of five distinct objects.
The formula for permutations of n distinct objects taken r at a time is given by:
n!/(n-r)!
In this case, we have n=5 and r=5, so the formula becomes:
5!/0! = 5! = 120
Therefore, there are 120 distinguishable outcomes when rolling five distinguishable dice where no number appears more than once.
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There are 720 distinguishable outcomes when rolling five distinguishable dice where no number appears more than once.
To determine how many distinguishable outcomes there are when rolling five distinguishable dice where no number
appears more than once, we can use the concept of permutations.
Since there are 6 sides on each die and no number can appear more than once, we need to find the number of ways
to arrange 5 unique numbers out of 6. This can be represented as a permutation, specifically 6P5.
To calculate 6P5, use the formula:
6P5 = 6! / (6-5)!
where "!" represents the factorial function.
Calculating the factorials:
6! = 6 × 5 × 4 × 3 × 2 × 1 = 720
1! = 1
Now, divide the two factorials:
6P5 = 720 / 1 = 720
So, there are 720 distinguishable outcomes when rolling five distinguishable dice where no number appears more than once.
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Solve the expression 7 + (1/5 x 18-3) using the order of operations.
Answer:
A) 7.6 or 7 3/5
I NEED HELP ON THIS ASAP!! PLEASE IT'S DUE TODAY!
The exponential function to represent the number of new participants of the challenge as a function of the day number, is f(x) = 12 × 4ˣ.
How to find the exponential function ?Let f(x) be the number of new participants on day x.
On day 0 (today), Aliyah, Kim, and Reese are the only participants. They each send selfies to 4 friends, so there will be 3 x 4 = 12 new participants on day 1.
From day 1 onwards, each new participant will send selfies to 4 friends. Therefore, the number of new participants will quadruple each day. This gives us an exponential growth function:
f(x) = 12 × 4ˣ
where f(x) represents the number of new participants on day x.
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local pottery studio is offering a beginner pottery class. The instructor is paid a flat rate of $100 plus $32 per student. How many people need to enroll for the instructor to earn $516?
Hw 22.2 -Permutations with repetition
There are 6 runners in s race .In how many ways can 3 runners finish in first ,second ,and third to win the gold ,sliver ,and bronze medals ?
the resultant data are: forty mothers have taken the suspected drug during their pregnancies. of these mothers, 35 have delivered malformed infants. in addition, 10 other infants are born with malfunctions. the number of individuals who both did not take the drug and did not give birth to infants who were malformed was:
No. of individuals Suspected drug and didn't give birth to in infants malformed is 10.
Number of individuals who did not take the drug and did not give birth to malformed infants.
subtract the number of individuals who took the drug and gave birth to malformed infants.
The total number of mothers, and then subtract the number of infants born with malfunctions.
Total number of mothers = 40
Number of mothers who gave birth to malformed infants after taking the drug = 35
Number of infants born with malfunctions = 10
the number of mothers who did not take the
drug = 40 - 35 = 5
The number of infants born without malfunctions = Total number of infants - Number of infants born with
malfunctions = (40 - 35) + 5 = 10
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Estimate the sum.
6{13}{28} + 8{3}{32}
15
14
14 {1}2}
15 {1}2}
The sum of fractions 6 13/28 and 8 3/32 when estimated has a value of 14 1/2
Estimating the sum of fractionsTo estimate the sum of fractions 6 13/28 and 8 3/32, we can round the fractions to the nearest whole number and then add them together.
6 13/28 is approximately equal to 6 + 1/2 = 6.58 3/32 is approximately equal to 8 + 0 = 8Adding 6.5 and 8, we get:
6.5 + 8 = 14.5
Convert to fraction, we have
6.5 + 8 = 14 1/2
Therefore, the estimated sum of fractions 6 13/28 and 8 3/32 is 14 1/2
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evaluate the limit. please help thank you
Answer:
[tex] \frac{(3n + 4)(1 - n)}{ {n}^{2} } = \frac{ - 3 {n}^{2} - n + 4 }{ {n}^{2} } [/tex]
As n approaches infinity, this quotient approaches -3.
A is the correct answer.
can someone please find these 7 questions? it’s due tomorrow it would help a lot!
The measures of central tendency are
Mode, Median, μ
The measures of spread are;
Range, IQR
Neither of the measures are;
MAD, Outliers
What are the measures of central tendency?Central tendency is defined as a central or typical value for a probability distribution. These measures of central tendency are often called averages.
The common measures of central tendency are the arithmetic mean, the median, and the mode.
What are the measures of spread?The measures of spread simply describes how similar or varied the set of observed values are for a particular variable (data item).
Measures of spread include the range, quartiles and the interquartile range, variance and standard deviation.
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the physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. the distribution of the number of daily requests is bell-shaped and has a mean of 42 and a standard deviation of 4. using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 42 and 50?
Thus, the approximate percentage of lightbulb replacement requests numbering between 42 and 50 is 34%.
Explain about the bell-shaped curve:A bell curve is a form of graph that is used to show how a collection of selected values are distributed; it often has a peak at the centre that tends to be normal, with low and high extremes tapering out rather symmetrically on either side.
Given that:
Mean = 42 with standard deviation of 4.
Now,
If mean = 42,
1 standard deviation (+1σ) above that mean = 42 + 4 =48
1 standard deviation (-1σ) below that mean = 42 - 4 = 38
By the empirical rule 68-95-99.7 rule:
68% of the given normal distribution data lies between -1σ and +1σ: That is between 38 - 48 requests.
And,
In the range 42 - 50 requests (between that mean and +1σ) is half of the given 68% : 68/2 = 34%
Thus, the approximate percentage of lightbulb replacement requests numbering between 42 and 50 is 34%.
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Correct question:
the physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. the distribution of the number of daily requests is bell-shaped and has a mean of 42 and a standard deviation of 4. using the empirical rule 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 42 and 50?
