N one region, the september energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kwh and a standard deviation of 218 kwh. for a randomly selected home, find the probability that the september energy consumption level is between 1100 kwh and 1225 kwh.

Answers

Answer 1

The probability that a randomly sample of a normally distributed data with a mean, μ, and standard deviation, σ, is between two numbers (a, b) is given by:

[tex]P(a\ \textless \ X\ \textless \ b)=P(X\ \textless \ b)-P(X\ \textless \ a) \\ \\ =P\left(z\ \textless \ \frac{b-\mu}{\sigma} \right)-P\left(z\ \textless \ \frac{a-\mu}{\sigma} \right)[/tex]

Given that the september energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kwh and a standard deviation of 218 kwh.

The probability that the september energy consumption level of a randomly selected home is between 1100 kwh and 1225 kwh is given by:

[tex]P(1100\ \textless \ X\ \textless \ 1225)=P\left(z\ \textless \ \frac{1225-1050}{218} \right)-P\left(z\ \textless \ \frac{1100-1050}{218} \right) \\ \\ =P(z\ \textless \ 0.8028)-P(z\ \textless \ 0.2294)=0.78894-0.5907=\bold{0.1982}[/tex]

Related Questions

2x7+2 ?
What does x =

Answers

The x is the variable so you have to find what the equation equals in order too find out what variable x is. 2 x7+2 = 16. So now x = 16

Please help!
This graph shows the amount of rain that falls in a given amount of time.

What is the slope of the line and what does it mean in this situation?

Select from the drop-down menus to correctly complete each statement

The slope of the line is ___

This means that ___ mm of rain falls every ___

Answers

the slope is 5/2. count up 5 then go right 2. this means that 5 mm of rain falls every 2 hrs

To find the slope, we use the formula for slope,

[tex]m=\frac{y_{2}-y_{2}} {x_{2}-x_{1}}[/tex]

Letting the point (2,5) be [tex](x_{1},y_{1})[/tex] and the point (4,10) be [tex](x_{2},y_{2})[/tex].

Now plugging in these values in the formula for slope, we get,

[tex]m=\frac{10-5}{4-2} =\frac{5}{2}[/tex]. The slope is [tex]\frac{5}{2}[/tex].

This basically means 5 mm of rain falls in every 2 hours, or 2.5 mm of rain falls every hour ([tex]\frac{5}{2} =2.5[/tex])

ANSWER: Slope is [tex]\frac{5}{2}[/tex] and 5 mm of rain falls every 2 hours.

What is the total displacement of a student who walks 3 blocks east, 2 blocks north, 1 block west and then 2 blocks south?

Answers

The total displacement is 2 since its last position is 2 blocks east from the initial position

The total displacement of the student is 2 block east.

We know that displacement refers to less distance that shows the difference between the starting & the final position.

Based on this,

y = 2 -2 = 0

x = 3 - 1 = 2

So, we can conclude that the total displacement of the student is 2 block east.

Learn more about the displacement here: brainly.com/question/11934397

Which of the following lines goes downwards from left to right?
A. Y=2x+5 b. Y=2x-6
C. Y=2x d. Y=-2x+20

Answers

"Goes downwards from left to right" is basically saying that the slope of this line is negative. We go downhill from left to right.

y = 2x+5 has a positive slope because m = 2 is the slope (b = 5 is the y intercept)
So choice A is out

Similarly choice B is eliminated as well because the slope is also m = 2

Choice C is false as well. The slope here is m = 2 (think of y = 2x as y = 2x+0)

The only choice with a negative slope is choice D. The slope is m = -2

This is why the answer is choice D

Side Note: I'm using slope intercept form y = mx+b where m is the slope and b is the y intercept

I brought 1 1/4 lbs of grapes. 2 1/2 lbs of cherries and 2lbs of bananas. How much total pounds of fruit did i buy?

Answers

First, add the whole numbers together:
1 + 2 + 2 = 5
Now, add the fractions together:
1/4 = 2/8
1/2 = 4/8
2/8 + 4/8 = 6/8 or 3/4
Add your two amounts together to get:
5 3/4 lbs of fruit

Hope this helps!! :)

1 + 2 + 2 = 5

1/4 + 1/2

1/4 + 2/4 = 3/4

The answer will be 5 3/4

Hope I helped

Lyle shot three times as many baskets as cliff, while kyle shot 12 more baskets than cliff. if lyle and kyle shot the same number of baskets, how many baskets did each of them shoot?

Answers

Final answer:

Cliff shot 6 baskets, Lyle shot 18 baskets, and Kyle also shot 18 baskets.

Explanation:

Let's represent the number of baskets Cliff shot as C.

Lyle shot three times as many baskets as Cliff, so Lyle shot 3C baskets.

Kyle shot 12 more baskets than Cliff, so Kyle shot C + 12 baskets.

Since Lyle and Kyle shot the same number of baskets, we can set their expressions equal to each other: 3C = C + 12.

Solving this equation, we find that C = 6.

Therefore, Cliff shot 6 baskets, Lyle shot 3C = 3(6) = 18 baskets, and Kyle shot C + 12 = 6 + 12 = 18 baskets.

Learn more about mathematics here:

https://brainly.com/question/27235369

#SPJ12

A regular 40-sided polygon is rotated with its center of rotation at its center. What is the smallest degree of rotation needed to map the polygon back on to itself?

Answers

hey! the answer would be A regular 40-sided polygon has an interior angle equal to:
(40 - 2) (180) /40 = 171 degrees

The interior angle is also the smallest angle that is needed to rotate the polygon and map it unto itself. So, the smallest degree of rotation needed to map the polygon back to itself is 171 degrees.

Answer:

9 degrees

Step-by-step explanation:

i dont know what the other guy is talking about, its 360/40=9

WILL MARK BRAINLIEST ANSWER THIS QUESTION K

Answers

For the first question, the choice at the bottom left corner is the answer.
For the second question, the two equations that represent the system of inequalities are y < 1- 3x and y ≥ 0.5x - 1

???????????????????????????

Answers

Greetings!

We can substitute the variables, so we only have to solve for one, per eqaution
[tex]x=4y[/tex]
Therefore...
[tex]3x-2y=20[/tex]
Is also equal to..
[tex]3(4y)-2y=20[/tex]

Solve for y.
Combine Like terms.
[tex]12y-2y=20[/tex]
[tex]10y=20[/tex]
Divide both sides by 10.
[tex](10y)/10=(20)/10[/tex]
Simplify.
[tex]y=2[/tex]

Now we can use the value of y to solve the other equation.
[tex]x=4y[/tex]
Is also equal to...
[tex]x=4(2)[/tex]

Solve for x.
Combine like terms.
[tex]x=8[/tex]

The answer would be 8,2

Hope this helps.
-Benjamin

Simplify:
(3-4i)(1+5i)-(2-i)

Show all of your work please

Answers

So first you want to do the multiplication.

(3-4i)*(1+5i)

So what you want to do is multiply everything inside the parenthesis by everything inside the other parenthesis.

Or,

3 * 1 + 3 * 5i + -4i * 1 + (-4i) * 5i

Or,

3 + 15i + -4i - 20i

Then,

3 + -9i

3 - 9i - (2 - i)

Open the parenthesis, and since it has a minus before it reverse the operator inside of the parenthesis.

3 - 9i - 2 + i

Or,

1 - 8i

If the product of two numbers is positive then the two numbers must both be positive true or false

Answers

false, a negetive and negetinve both equal positive

A rental car service charges $25 to rent a car, plus $2 per mile. If x represents the number of miles driven, then the expression for the total cost to rent the car is 2x + 25. Which table shows the total cost to rent a car?

Answers

2x + 25 represents the equation for total cost with a variable of how far you drive.

What plane contains points D, G, and H?

a. The plane that passes at a slant through the figure.
b. The plane on the bottom of the figure.
c. The plane on the top of the figure.
d. The plane on the front of the figure.

Answers

I think it is d. But I think you should check to make sure.

What's 4.50+4.50+2.39+2.39+1.99? What's the answer minus 25?? pls halp meh '-'

Answers

4.50+4.50=9.00=9
+
2.39+2.39=4.78
+
1.99
=
15.77

15.77-25=-9.23

HELP
IMPORTANT 20 POINTS

Answers

volume of tub = 20 *10*10 = 2000cm^3

2000*1/16 = 2000/16 = 125 cubic cm of ice scream left

volume of sphere = 4/3*3.14*3^2 = 37.68 / 2 = 18.84

volume of cone = 18.84

18.84 = 1/3 *3.14*r^2*h

18.84 = 9.42*h

h = 18.84 / 9.42 = 2.00 inches tall

Terry bought 2 1/2 dozen chocolate chip cookies. She paid $15 for her purchase. If there were 12 cookies in each dozen, what was the cost per cookie?

$0.17

$0.83

$1.25

$0.50

Answers

Your answer Is $0.50 have a nice day my friend

He _______ tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.

Answers

He Sampling method tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.

The Central Limit Theorem tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases. In practice, the distribution of the sample means approaches a bell-shape curve when n > 30. More specifically speaking, if a random variable X has a mean of µ and a standard deviation of σ, then the sample means are approximately normally distributed with a mean of µ and a standard deviation of [tex] \frac{\sigma}{ \sqrt{n} } [/tex] as the sample size increases.

Write an equation of the line in slope-intercept form of the line that passes through the point (-5, 1) and is parallel to the line x – 5y = 8. show your work.

Answers

-5y=-x+8
y=1/5x-8/5

y-1=-5(x+5)
y-1=-5x-25
y=-5x-24

Jeffrey is planning to tile his bathroom. He is taking measurements before he goes to the hardware store to buy the tile. What is the best unit of measure for Jeffrey to use?

Answers

Square feet because it is an ideal unit to measure rooms.

Answer:

i think the answer would be square feet

Step-by-step explanation:

Solve and justify each step
SHOW WORK

Solve: -4(n+5)>3n+8

Answers

-4n-20>3n+8

-7n-20>8

-7n<28
n<-4

Compare the two ratios by entering >, < , or = in the box. 18 320

Answers

< because 320 is greater than 18

plz mark brainliest.

Answer:

1/8 is greated than 3/20

Step-by-step explanation:i took test

A measurement is given as the length of an onion cell is 0.4mm to the nearest tenth of a millimeter. Find the minimum & maximum possible measurements

Answers

The least number which approximates to 0.4mm to the nearest tenth is 0.35 while the largest number which approximates to 0.4mm to the nearest tenth is 0.449

Therefore, the minimum & maximum possible measurements are 0.35 and 0.449 respectively.

0.35mm-0.45mm The actual length of the onion cell must be something that rounds to .4mm. Anything lower than 0.35mm would be closer to .3mm and anything over .45 would be closer to .5mm.

You randomly select 7 students from a class with 15 male and 20 female students. what is the probability that you will choose exactly 4 females?

Answers

0.3278 Use combination formula ((20C4)*(15C3))/(35C7) = 0.3278 20C4 - combinations of 4 females from 20 15C3 - combinations of 3 males from 15 35C7 - all possible combinations of 7 students from 35 students in total

Final answer:

To find the probability of selecting exactly 4 females out of 7 students, we need to use the hypergeometric distribution.

Explanation:

To determine the probability of selecting exactly 4 females out of 7 students, we need to use the hypergeometric distribution. In this scenario, we have a population of 35 students (15 males + 20 females) and we want to select a sample of 7 students. The group of interest is the females, which consist of 20 students. Since we are selecting without replacement, we need to use the hypergeometric distribution formula:

P(X = k) = (C(K, k) * C(N-K, n-k)) / C(N, n)

where:

N = total population sizen = sample sizeK = number of successes in the populationk = number of successes in the sample

Plugging in the values, we get:

P(X = 4) = (C(20, 4) * C(15, 7-4)) / C(35, 7)

Calculating the combinations, we find that P(X = 4) = 0.416

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ11

How much is 1200 pounds of corn plus 25% more?

Answers

1500 because 1200/25 is 300 then you add 300 to your already 1200

Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating.

Answers

Given that one Friday night, Roman and Malou are busy studying for their Logic exam. Meanwhile, Hadji just tweeted a picture of himself eating crispy pata and sisig. Jeff is sound asleep in his dorm room.

Part A:

The truth value of "Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating." is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

Roman has a date with Malou is True

Jeff is sleeping is True

Hadji is eating is True

Thus, the truth value of "True" or "True" or "True" is True.

Therefore, the truth value of "Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating." is True.

Part B:

The truth value of "Either Jeff is sleeping or Hadji is not eating" is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

Jeff is sleeping is True

Hadji is not eating is False

Thus, the truth value of "True" or "False" is True.

Therefore, the truth value of "Either Jeff is sleeping or Hadji is not eating" is True.

Part C:

The truth value of "Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating." is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

Roman and Malou are on a date is True

Jeff is sleeping is True

Hadji is not eating is False

The truth value of "True" and "True" is True.
The truth value of "True" or "False" is True.

Thus, the truth value of ("True" and "True") or "False" is True.

Therefore, the truth value of "Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating." is True.

Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating. - True b. Either Jeff is sleeping or Hadji is not eating - True c. Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating. - False

A rectangle that has an area of 357 square inches is 17 inches wide. Using the formula for area (4072-01-01-03-00_files/i0260000.jpg), how long is the rectangle? a. 21 inches b. 340 inches c. 20 inches d. 15 inches

Answers

A = L * W
A = 357
W = 17

357 = 17L
357 / 17 = L
21 = L <== length is 21 inches

Answer:

The correct option is: a. 21 inches

Step-by-step explanation:

The area of the rectangle is 357 square inches and width is 17 inches.

Formula for the area of rectangle is: [tex]Area= Length\times Width[/tex]

Suppose, the length of the rectangle [tex]=x[/tex] inches.

So, the equation will be.....

[tex]357=x\times 17\\ \\ \frac{357}{17}=\frac{x\times 17}{17}\ [Dividing\ both\ sides\ by\ 17]\\ \\ 21=x[/tex]

So, the rectangle is 21 inches long.

To which graph does the point (8, −2) belong?

Answers

When you're given a list like that, the easiest way to find the answer is to just test the point in each one! Plug in -2 for y and 8 for x, and see which of the inequalities those values satisfy.

What is the product of 3x(x^2+4)

Answers

Answer:

[tex]3x^3+12x[/tex]

Step-by-step explanation:

[tex]3x(x^2+4) = 3x\cdot x^2 + 3x\cdot 4 = 3x^3+12x[/tex]

find f(-5) if f(x) = ???????

Answers

f(x) = Ιx+1Ι

x = -5

Ι-5Ι = 5

so equation is 5+1

answer is 6

If the decay of 742 mg of an isotope is described by the function A(t)= 742e-0.03t, where t is time in years. Find the amount left after 84 years. Round your answer to the nearest mg.

Answers

57.701 mg before rounding

Answer:

The amount left after 84 years is 59.70 mg.

Step-by-step explanation:

Given : If the decay of 742 mg of an isotope is described by the function [tex]A(t)= 742e^{-0.03t}[/tex], where t is time in years.

To find : The amount left after 84 years?

Solution :

The function of decay of 742 mg of an isotope is given by,

[tex]A(t)= 742e^{-0.03t}[/tex]

We have to find the amount left after 84 years.

i.e. put t=84 in the given function,

[tex]A(84)= 742e^{-0.03\times 84}[/tex]

[tex]A(84)= 742e^{-2.52}[/tex]

[tex]A(84)= 59.701[/tex]

Therefore, The amount left after 84 years is 59.70 mg.

Other Questions

Which biconditional statement is true? A. A number is divisible by 9 if and only if it ends in 3. B. A quadrilateral is a square if and only if it has four right angles. C. The sum of two integers is positive if and only if the two integers are positive. D. A number is an even number if and only if it is divisible by 2 Under which type of economic system do workers typically work fewer hours and have access to more social benefits provided by the government, such as healthcare, education and childcare? May I have some help? 12.75 is 25% of what number What is the effect of the change in the amount of carbon dioxide in the air from 200 years ago? It reduces the number of animal species worldwide. It contributes to global warming. It helps new glaciers form near the North Pole. It reduces the amount of plant life worldwide. Sophie feels that her parents can never understand the psychological sufferings she is experiencing. this could be an example of What conversion factor fraction is used to convert inches to feet? what is the true hourly wage of a job that pays $18 per hour and allows 20 hours of paid time off for every 500 hours worked ? show your work "until i am measured i am not known,yet how you miss me when i have flown. what am i?" Cmo se dice "high school" en espaol? a group of 4 students are selling candy bars to raise money for a field trip. the group needs to sell 53 candy bars. if each student sells an equal amount, how many candy bars do they get in all? interpret your remainder What does gait mean At each turn, a gambler bets a certain amount, wins it with probability p and loses it with probability q = 1p. when he begins playing, he has $k for some integer k > 0 and his goal is to reach $n for some integer n > k, after which he stops playing. he also stops playing if he loses all his money. the gambler has the option of betting $1 at each turn and the option of betting $0.5 at each turn. show that betting $0.5 is a better option if p > 1/2 and that betting $1 is a better option if p < 1/2. El mapa y los datos geogrficos fill in the blanks using the list and the geographical information found in the map pins. el museo nacional centro de arte reina sofa est en What is based upon your observations, can you predict the direction of osmosis in living cells when the cells are placed in various solutions? Which of the following is a direct result of process of hydrogen bonding?A.)The polar ends of a water molecule.B.)Movement by osmosis.C.)The bent structure of a water molecule.D.)Cohesion and adhesion. Which is a simple sentence? A) Why didn't you call me after you finished your chores? B) Can you help me with this, or should I ask someone else? C) Did you know that we went to get ice cream after school yesterday? Eliminate D) Are you going to the store with your mother or your sister this afternoon? simplify 7-(-12)-5a -10b 0c 14d 24 write the equation for a line that intersects points (1,3) and (2,5) Which of the following correctly explains literal and figurative descriptions.A figurative description uses the word as a simile, metaphor hyperbole, or personification. A literal description uses the word's dictionary meaning.A figurative description uses the word's dictionary meaning. A literal description uses the word as a simile, metaphor, hyperbole, or personification.A figurative description uses the word in a specific field like medicine or education. A literal description uses the word's dictionary meaning. Steam Workshop Downloader