Answer:
2.5%
Step-by-step explanation:
Since the mean is 53.2, a fuel consumption of 43.6 mpg is 53.2−43.6=9.6 mpg less than the mean, which is 2 standard deviations.
By the Empirical Rule, we know that about 95% of the data lies within 2 standard deviations of the mean. Therefore, 100%−95%=5% of the data lie more than 2 standard deviations away from the mean.
Since the distribution of hybrid vehicle fuel consumptions is symmetric, about half of the remaining 5% will lie to either extreme. So about 2.5% of fuel consumptions are less than 43.6 mpg.
The normal distribution is a symmetric probability distribution about the mean. The percentage of hybrid vehicle fuel consumption that is less than 43.6 mpg is 2.5%.
What is Normal Distribution?The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
Given that the mean is 53.2, while the standard deviation is 4.8 mpg. Therefore, Accoding to the emperical rule, we can write the values as,
μ+3σ = 67.6
μ+2σ = 62.8
μ+σ = 58
μ = 53.2
μ-σ = 48.4
μ-2σ = 43.6
μ-3σ = 38.8
Therefore, The percentage of hybrid vehicle fuel consumption that is less than 43.6 mpg is,
Percentage = (0.15 + 2.35)% = 2.5%
Hence, The percentage of hybrid vehicle fuel consumption that is less than 43.6 mpg is 2.5%.
Learn more about Normal Distribution:
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Part D
The zoo plans to have four more female tigers than male tigers. Write an equation relating the number of male tigers, m, to the number of female
tigers, f.
Answer:
[tex]f\,=\,m\,+ \,4[/tex]
Step-by-step explanation:
The relationship between male and female tigers is given by the equation
[tex]f\,=\,m\,+ \,4[/tex]
Answer:
f = m + 4
Step-by-step explanation:
How many is dollars will you receive for one Japanese yen
Answer:
You will earn about a cent.
Step-by-step explanation:
The actual amount is about 0.0096 dollars, but you can round it out to 0.01 dollars, or 1 cent.
15. Find four consecutive integers whose sum is 30.
Answer:
6+7+8+9 = 30
Step-by-step explanation:
4 consecutive integers that equal 30 are 6, 7, 8, and 9.
They all add up to 30.
hope this helps!
have an amazing day :-)
One fifth of one number and one fourth of a number are added, the result is 29. What is the original number?
Answer:
[tex] \dfrac{580}{9} [/tex]
Step-by-step explanation:
[tex] \dfrac{1}{5}x + \dfrac{1}{4}x = 29 [/tex]
[tex] \dfrac{4}{20}x + \dfrac{5}{20}x = 29 [/tex]
[tex] \dfrac{9}{20}x = 29 [/tex]
[tex] x = 29 \times \dfrac{20}{9} [/tex]
[tex] x = \dfrac{580}{9} [/tex]
Answer: [tex] \dfrac{580}{9} [/tex]
Which statement is true?
A) | -2.1| = -2.1
B) |2.1| = -2.1
C)|2.1| = -2.1
D) | - 2.1| = |-2.1|
represent the given condition using a single variable, x.
The length and width of a rectangle whose length is 15 centimeters more than its width.
The width of the rectangle is ____.
Answer:
Please check the explanation.
Step-by-step explanation:
Let suppose [tex]x[/tex] be the width of the rectangle.
As the length is 15 centimeters more than its width i.e.
[tex]length = x+15[/tex]
Therefore, the width of the rectangle will be:
[tex]x = length - 15[/tex]
CHECK BY EXAMPLE
Let suppose if the length of the rectangle is 20 cm.
Then the width of the rectangle will be:
x = length - 15
= 20 - 15
= 5 cm
Therefore, the width of the rectangle will be 5 cm.
Which of the following is the best example of a state?
Answer:
What are the answer choices??
Step-by-step explanation:
<3
Answer:
A state is defined as a territory with its own government and borders within a larger country. An example of a state is California. The supreme public power within a sovereign political entity. Hope this helps!
Step-by-step explanation:
Answer the question 20. Y=x-3
Answer:
The slope is 1. The y-intercept is -3. The x-intercept is 3.
Step-by-step explanation:
Prices for a day ticket entrance at the Disneyland Paris Resort are as follows: Work out the percentage discount offered with the family ticket option.
Answer:
15% discount
Step-by-step explanation:
To find the discount first we need to find out the cost without the family ticketNow the family ticket covers 2 Adults and 2 children, but how much is that using the standard prices?So [tex]2adults= 2*(55)=110[/tex] which is Euros I believeThen [tex]2children= 2*(45)=90[/tex] We add these together 110+90=200 Euros, that's how much 2 adults and 2 children cost with standard pricesNow the family ticket only charges 170 EurosSo how much less is the family ticket to the regular price? 200-170=30 EurosThat's the discount, now what percentage of the actual price 200 Euros, is 30 Euros?First we write it as a fraction; 30 Euros out of 200 Euros which is [tex]\frac{30}{200} =\frac{3}{20}[/tex] To find the percentage, we multiply the fraction by 100[tex]\frac{3}{20} *100=\frac{3*100}{20}=\frac{300}{20} =15percent[/tex] or 15%This just means "take out 15% of 200 from the 200 Euros original price" so that's the percentage discount that the family ticket providesAnswer:
15%
Step-by-step explanation:
If 200 men can make an embankment 3km long in 25 days, how much overtime per day must 60 men work to complete an embankment 2km long in 32 days, 12 hours being a day's work?
Answer:
Each man would have to work 7.2 overtime hours per day if they wanted to meet the goal.
Step-by-step explanation:
If 200 men can make a 3 km long embankment in 25 days, their work day being 12 hours, to determine the amount of work that each one does, the following calculation must be made, taking into account that 3 km is the same at 3,000 meters:
3000/25 = 120 meters per day
120/200 = 0.6 meters per day per man
0.6 / 12 = 0.05 meters per hour worked per man
Therefore, to determine the extra work time that 60 men should carry out, if they wanted to complete a 2 km long embankment in 32 days, the following calculation should be performed:
2000/32 = 62.5 meters per day
62.5 / 60 = 1.04 meters per day per man
1.04 / 12 = 0.08 meters per hour worked per man
Therefore, that difference of 0.03 meters must be taken into account to determine the extra time of work that these men must carry out, carrying out the following cross multiplication:
0.05 = 12
0.08 = X
((0.08 x 12) / 0.05) = X
(0.96 / 0.05) = X
19.2 = X
Therefore, each man would have to work 7.2 overtime hours per day if they wanted to meet the goal.
Which graph represents the equation y = x-3?
Answer:
The first
Step-by-step explanation:
The intercept is a negative so the line will be going the opposite way
Answer:
c
Step-by-step explanation:
The equation shows that there is a positive slope of 1 and a y-intercept of -3. The only graph that shows those characteristics is c.
need help simplifying please.
Answer:
14x² + 7y - 22
Step-by-step explanation:
Combine like terms.
5x² - 6y - 22 + 13y + 9x²
5x² + 9x² = 14x²
-6y + 13y = 7y
Reorder the terms.
14x² + 7y - 22
Hope that helps.
38,477 rounded to the nearest thousand
Answer: i'm pretty sure it's 38,500
Step-by-step explanation:
A player has 26 hits in 120 times at bat. Write the player’s batting average as a decimal. (Batting Average = Number of Hits divided by Number of Times at Bat)
PLEASE HELP ME!! #4 Suzan took out a $700 loan from the bank. At the end of 5 years, she pays back the principal, plus $105in simple interest. What was the annual interest rate? *
Answer:
3%
Step-by-step explanation:
105 = 700 x r x 5
r = 105 / ( 700 × 5 ) = 0.03
r = 0.03
0.03 in percent is 3%
cup of oil.
A recipe for one batch of cookies uses 2/3
Edward has 1 1/4 cups of oil.
Does he have enough oil to make 2 batches of cookies?
Answer:
Yes he does
Step-by-step explanation:
that would be 4/3
4/3 < 1 1/4
Hold on, our servers are swamped. Wait for your answer to fully load.
Answer:
2 + 2 =
1
1
3 3
3
23+23 is
greater than
114.
So Edward
does not
have enough oil to make 2 batches of cookies.
Step-by-step explanation:
Paris had - $11.00 in her checking account. She did a few chores and made $44.50. She decided to pay for her and a friend Jenifer to go to the movies and each ticket costs $6.25. How much money does she have left in her account? Create a number sentence to show how you got your answer
Answer: 43
Step-by-step explanation:
(11+44.50) - (6.25 x 2)
What is the slope of the line on the graph?
Answer:
The slope is -2.
Step-by-step explanation:
You can tell because every time the line goes down, it goes 2 down and 1 to the right.
#teamtrees #WAP (Water And Plant)
Solve: 5^2 - 0.2 x (8+12) x 1/2
Answer:
23
Step-by-step explanation:
How do you do this question?
Answer:
E
Step-by-step explanation:
dy/dt = y² − 1
When -1 < y < 1, dy/dt is negative. So the solution is decreasing between y = -1 and y = 1.
Only one graph is consistently decreasing in that range, and that's the last graph.
Which decimal is less 17.149 or 17.49
Answer:
17.149
Step-by-step explanation:
12. Emani says, "If you subtract 18 from my number and multiply the difference by -6, the result is -36." What is Emani's number? Your answer
Answer:
24Step-by-step explanation:
Step one:
let the number be x
given
1. x-18
2. (x-18)*-6
3. (x-18)*-6=-36
Required
x
the final expression mathematically is '
(x-18)*-6=-36
open bracket and solve for x
-6x+108=-36
collect like terms
-6x=-36-108
-6x=-144
divide both sides by -6
x=144/6
x=24
Emani's number is 24
Solve five and two thirds times three fourths
A) three and eleven twelfths
B) four and one twelfth
C) four and three twelfths
D) five and one twelfth
Answer:
C. The answer can be simplified.
Step-by-step explanation:
5 2/3 x 3/4
(5 x 3) + 2 = 17/3
17/3 x 3/4 = 51/12
51 ÷ 12 = 4 3/12
4 3/12 = 4 1/4
So it is C.
Brainliest to right answer with explanation
Answer:
It has no solutions : The input is a contradiction: it has no solutions
Cody's Aunt pays him $30 to walk her dogs 6 times at this rate how many times must he walk the dog in order to earn $100
Twenty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 60% can be repaired, whereas the other 40% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly three will end up being replaced under warranty
Answer:
the probability that exact three would be replaced under each warranty is 0.34
Step-by-step explanation:
The computation of the probability that exact three would be replaced under each warranty is as follows
Given that
Submitted under warranty = P = 20%
Replaced with the new units = 40%
So replaced and submitted would be
= 40% × 20%
= 80%
Now let us assume the number of telephones be x for ending up for replacement
Total number of telephones purchased is 10
Now the probability by applying the formula of binomial probability is
[tex]P(X) = n_C_xp^x(1 - p)^{n-x}[/tex]
[tex]P (X = 3) = ^{10}C_3(0.08)^3 (1 - 0.08)^{10 - 3}\\\\= \frac{10!}{3!(10! - 3!)} (0.08)^3(0.92)^7\\\\[/tex]
= 0.34
Hence, the probability that exact three would be replaced under each warranty is 0.34
Which of the following is false regarding number sets
Answer:
D
Step-by-step explanation:
just took a random guess
A racecar driver is doing a time trial of a new car on a straight back. The car's distance from the timekeeper is represented by y=293x+50 where x is time in seconds and y is the distance from the timekeeper's position. How many feet from the timekeeper is the race car at the beginning?
Answer:
50 feet
Step-by-step explanation:
The car's distance from the timekeeper us given by :
y = 293x+50
Where x is time in seconds and y is the distance from the timekeeper's position.
The general equation of a line is given by :
y = mx +c
On comparing, we get : c = 50
It means the timekeeper has covered 50 feets at the beginning.
A lasagna recipe uses 1 2/4 teaspoon basil 1/4 teaspoon pepper and 4 teaspoons parsley if you double the recipe how many teaspoon of seasoning will you use
Answer:
11 1/2 teaspoons
Step-by-step explanation:
1 2/4 basil= 1.5 tsp If you multiply this by two to double the recipe you will have 3 teaspoons of basil.
1/4*2= 2/4 pepper
4*2=8 parsley
After you double everything you need to add them together:
3+2/4+8
Which brings you to the final answer of 11 2/4 teaspoons or if you simplify it.... 11 1/2 teaspoons
Choose a number that will produce an irrational answer when added to 7/8. PLEASE HELP ITS DUE AT MIDNIGHT.
Answer:
√7
Step-by-step explanation:
2/5, 0.404040 and 0.286 are all rational as they all can be expressed in fraction form (0.4040 can be expressed as 40/99 and 0.286 as 286/1000 (can simplify but I didn't)) sqrt7 is the only irrational number.