Suppose the heights of the members of a population follow a normal distribution. If the mean height of the population is 68 inches and the standard deviation is 4 inches, 99.7% of the population will have a height within which of the following ranges?A. 56 inches to 80 inches
B. 60 inches to 76 inches
C. 64 inches to 72 inches
D. 52 inches to 84 inches
Answers
If the mean height of the population is 68 inches and the standard deviation is 4 inches, 99.7% of the population will have a height within ranges of; 52 inches to 84 inches.
What do you mean by standard deviation?
In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of population
N = number of observation of population
X = mean
μ = population mean
We know that at 99.7% the measurements would be within 2 standard deviations of the mean.
Mean of 68 inches
Standard Deviation of 4
The lower range = 68– 4(4)= 52 inches
The upper range = 68+ 4(4) = 84 inches
Thus, the option (D) 52 inches to 84 inches is correct after using the empirical Rule.
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==>h=3*4=12
[68-12, 68+12] is the interval
Answer A
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The following data shows rainfall in a forest, in inches, on consecutive days of a month:2.7, 2.6, 2.4, 2.5, 2.8, 2.6, 2.7, 2.8, 2.4, 2.3, 2.5 What would be the values where each line is in a box plot?? Like the median, maximum, minimum
Can someone please help me, this is my last question I have been stuck on it for 30 minThe work of a student to solve a set of equations is shown: Equation A: y = 15 − 2z Equation B: 2y = 3 − 4z Step 1: −2(y) = −2(15 − 2z) [Equation A is multiplied by −2.] 2y = 3 − 4z [Equation B] Step 2: −2y = 15 − 2z [Equation A in Step 1 is simplified.] 2y = 3 − 4z [Equation B] Step 3: 0 = 18 − 6z [Equations in Step 2 are added.] Step 4: 6z = 18 Step 5: z = 3 In which step did the student first make an error? Step1 Step 2 Step 3 Step 4
Choose one of the factors of x6 + 1000x2 x2 – 10 x4 – 10x2 + 100 x4 + 10x2 + 100
Answers
Long distance telephone bill is really expensive because you are contacting someone outer than the realms of your allowed distance calls. That is why when you call someone far away, you need to pay to the added service and benefits.
Answers
Answer:
= 1/(5x+7) [ 1 over (5x + 7)] with x≠ -1.4
Step-by-step explanation:
Given the function f(x), if f(x) ≠ 0, we would have the formula as following:
+) = 1/f(x)
We have the given equation:
f(x) = (10x/2) + 7 = 5x + 7
f(x) ≠ 0 when and only when (5x + 7) ≠ 0
(5x + 7) ≠ 0
⇔ 5x ≠ 0 - 7
⇔ 5x ≠ -7
⇔ x ≠ -7 ÷ 5
⇔ x ≠ -1.4
So with x≠ -1.4, f(x) ≠ 0, we have:
= 1/f(x) = 1/ (5x + 7)
Conclusion: = 1/(5x+7) [ 1 over (5x + 7)] with x≠ -1.4
Answers
a. For what numbers of games is the total cost, including a pair of rental shoes, less at bowling alley A? at bowling alley B?
Bowling alley A:
Bowling alley B:
or more games
or
games
b. Bowling alley A increases the cost per game by $0.50. How does this affect your answer in part (a)? Explain.o
Answers
Using linear functions, it is found that:
a) The cheaper costs are given as follows:
- Bowling alley A: 3 or more games.
- Bowling alley B: 1 or 2 games.
b) Due to the same cost per game and higher cost for the pair of shoes, bowling alley A will never be cheaper than bowling alley B.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For this problem, we have that:
- The cost to rent shoes is the intercept.
- The cost per game is the slope.
Hence the cost functions are given as follows:
- A(x) = 3.75 + 4x.
- B(x) = 2.5 + 4.5x.
The costs are equal when:
A(x) = B(x)
3.75 + 4x = 2.5 + 4.5x
0.5x = 1.25
x = 1.25/0.5
x = 2.5.
Hence the cheaper costs are given as follows:
- Bowling alley A: 3 or more games.
- Bowling alley B: 1 or 2 games.
Alley B has the lower initial cost due to the lower cost for the pair of shoes.
For item b, if we increase the cost per game by $0.50 for alley A, we have that:
A(x) = 4.5x + 3.75.
Hence:
Due to the same cost per game and higher cost for the pair of shoes, bowling alley A will never be cheaper than bowling alley B.
More can be learned about linear functions at brainly.com/question/24808124
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Answers
Jarin covered 0.125 miles per minute of jogging
How many minutes make an hour?
The fact that 60 minus makes one hour means that the miles per minute can be determined as the distance covered in one hour divided by the number of numbers in an hour.
In other words, we can first of all, determine the miles covered in one hour as 7.5 miles divided by 1 hour, which gives 7.5 miles, in essence, the miles covered per minute is ascertained by changing the time from hours to minutes.
miles per minute covered by Jog=miles covered in one hour/one hour in minutes
miles covered in one hour=7.5 miles
one hour in minutes=60 min
miles per minute covered by Jog=7.5 miles/60 min
miles per minute covered by Jog=0.125 miles/minute
Jarin covered a mile of 0.125 every minute that he jogged
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Answers
y = -5x + 3
Substitute the value for y.
y =1
1 = -5x + 3
Now, solve for x.
1-3 = -5x + 3 Apply the inverse operation to both sides of the equation.
-3
1-3 is -2
-2 = -5x
-5x/-5 = -2/-5
x = 0.4
Final answer:- x = 0.4 y = 1
Answer:
(0.4, 1)
Step-by-step explanation: