The monthly electric bills in a certain community are normally distributed, with a mean of $245 and a standard distribution of $55. If there are 461 households in the community, about how many of them have electric bills less than $200?

A. 45
B. 21
C. 95
D. 81

The Monthly Electric Bills In A Certain Community Are Normally Distributed, With A Mean Of $245 And A

Answers

Answer 1

95 households have electricity bills of less than $200. Option C is correct.

Given that,
The monthly electric bills in a certain community are normally distributed, with a mean of $245 and a standard distribution of $55. There are 461 households in the community, how many of them have electric bills less than $200 is to be determined.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.


probability for the number of households has electric bills less than $200.
x = 200 , μ = 245 ; σ = 55
Now,
Probability,
z (p < 200) =  [tex]\frac{X -\mu}{\sigma}[/tex]
z (p < 200) =  (200 - 245)/55
                = --45/5
                = -0.818181
p < 200 = 0.206 (from z table)

Now, the number of households that has electricity bill less than $200,
= 461 * 0.206
= 94.966
≈ 95

Thus, 95 number of household have electricity bills of less than $200. Option C is correct.

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Related Questions

4/ PLEASE HELP ME ON THIS. ASAP

Answers

Answer: a,b,d,e are all right beacuse they all relate to the question

Step-by-step explanation:

c how ever is no shown on the graph and is therefor wrong

answer fast....... plzz guys

Answers

Answer:

a) eraser=5,2cm

b)glue stick =10cm

c)fork =18cm

d)thermometer =12,7cm

Step-by-step explanation:

all approximately

For f(x) = x3-x2, which gives an output of 48?
A. f(-8)
B. f(-4)
C. f(4)
D. f(8)

Answers

Answer:

The input is x−2, therefore

Step-by-step explanation:

f(x−2)=(x−2)2−3(x−2)+1

A 6-ounce drink costs $2.16. What is the unit rate (cost / 1 oz.)?

Answers

Answer:

im pretty sure its 0.36

Step-by-step explanation:

The unit rate or cost of one ounce of the drink is $0.36.

Given that:

A 6-ounce drink costs $2.16.

It is required to find the unit rate.

Now, the unit rate can be defined as the quantity of something with respect to another quantity.

Here, the unit rate is the cost of the drink per ounce of the drink.

Cost of 6-ounce drink = $2.16

Let the cost of one ounce drink = x

Here, the proportional concept can be used.

6 / 2.16 = 1 / x

Cross multiply.

6x = 2.16

Divide both sides by 6.

x = 0.36

Hence the unit cost is $0.36.

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Help!!!! I have no idea how to even begin this

Answers

Answer:

y=-7x+3

since the formula is y=mx+b where m is the slope and b is the y-intercept.

The answer is y=-7x+3

Determine wether the relation is a function (4,0),(2,0),(1,2),(2,4),(4,4),(5,2)

Answers

Answer:

This is not a function

Step-by-step explanation:

Hope this helps

I NEED HELP !!!! A taxi driver spends $105 every week on gas for 6 weeks. What integer represents the effect of buying $105 on gas for 6 weeks on the taxi driver’s bank account, in dollars?

Answers

.Answer:

-105

Step-by-step explanation:

Given

[tex]Gas = \$105[/tex] for 6 weeks

Required

Represent this as an integer

If the driver spends $105 on his taxi then it means that the money is debited from the driver's bank account.

Debit implies negative and it is represented by a negative symbon

Hence, the integer that represents this scenario is -105

A 5-kilogram bag of cat food costs $18.90. What is the unit price?

$
per kilogram

Answers

Answer:

3.78

Step-by-step explanation:

Answer:
3.78
Explanation:
18.80 ÷5=3.78

Giving everything. Plzzz help.

Answers

Pretty sure it’s A sorry if that’s wrong

Answer:

a is the answer..........

what do i do cause this is wrong and it is also wrong switched around!!!! pls help meh i will give brainleist

Answers

Answer: It seems like you're correct, maybe try switching the numbers around if you haven't done so.

When it's say "find the product _ and _, you'll basically be writing a multiplication expression as your answer.

George invited 65 students in his school to volunteer at a charity race. 39 of the students signed up to volunteer. What percent of the invited students signed up?

Answers

Answer:

60%

Step-by-step explanation:

39/65 gives you the answer.

11. A tank is being filled up with water. At t=0, we know that the tank holds 150 gallons of
water, and after one hour ( t=1) , it holds 180 gallons of water.
a) Assuming that the volume of water in the tank, V, is a linear function of time, t, in hours,
find a formula for V ( linear function)

b) BY what percent did the volume of water increase from t=0 to t= 1?

Answers

Answer:

V = 30t + 15020%

Step-by-step explanation:

Given

Initial volume = 150 galVolume after 1 hour = 180 gal

a) The volume formula will be:

V = 30t + 150

As 150 is y-intersect (volume at zero time) and the rate of change (the slope) is 30 gal per hour

b) Increase of volume by percent:

30 gal increase on top of 150 gal

30/150*100% = 20%

Answer:

20%

Step-by-step explanation:

The volume formula is V = 30t + 150 → where 150 is y-intersect and the slope is 30 gals per hour

So you can do:

30 gals of increase on top of the 150 gals to get:

30/150×100%  which equals 20%

:)

if the farmer want to stop his soil from the erosion that was happening what would he need to do.​

Answers

Answer:

Crop Rotation: Rotating in high-residue crops — such as corn, hay, and small grain — can reduce erosion as the layer of residue protects topsoil from being carried away by wind and water. Conservation Tillage: Conventional tillage produces a smooth surface that leaves soil vulnerable to erosion.

Step-by-step explanation:

Despite how rapidly it progresses, it affects land productivity, soil fertility, degrades water quality, and damages water drainage. ... Erosion, in turn, facilitates the process of groundwater pollution, and the stiffened structure of soil impedes the flow of water in deeper layers.

i need help please!! its math !

Answers

Answer:

perimeter = 2(8x+3) + 2(5) area= (8x+3) • 5

Step-by-step explanation:

perimeter = 2(length) + 2(width)

if length equals (8x+3) and width equals 5 then you would just plug those numbers into the equation which gives you...

perimeter = 2(8x+3) + 2(5)

area = length • width

like i previously said above if length equals (8x+3) and width equals 5 than you would just plug those numbers into the equation which gives you...

area = (8x+3) • 5

whats 2+2 lollololololololololololololololololololo

Answers

Answer:

4ssssssssssssssssssssssssssss

Johnny filled a 5 gallon bucket with water. How many quarts of water does Johnny have?

Answers

Answer:

20 quarts

Step-by-step explanation:

Five gallons is equal to 20 quarts.

I hope it helps.

Answer:

20 quarts

Step-by-step explanation:

in 1 gallon there is 4 quarts so if theres 5 gallons there would be 4 quarts for each, so multiply 5 by 4, becuase you need 4 quarts in every gallon, the product (answer to a multiplication problem) to that is 20. :)

A recursive rule for a sequence is given. Find the first four terms of the sequence.
f(1) = 2
f(n) = 4. f(n – 1), where n is an integer and n > 2.

Answers

Answer:  

So...

   a0 = -2

   a1 = (a0)2 - 4  =  4 - 4  =  0

   a2 = (a1)2 - 4 = ((a0)2-4)2 - 4 =...=  02 - 4  = -4  

       For an+1, you may use the previous term (an) if you have just calculated it, rather than calculating it recursively again

   a3 = (-4)2 - 4 = 12

 

The first four terms in the sequence are -2, 0, -4, 12.

Step-by-step explanation:

This recursive sequence is defined as follows:

 a0 = -2      [the first term]

 an+1 = an2 - 4     [for all other terms, n≥0; note that you cannot find a0 using this line]

 

Note that this is not "BASE" for a number base, but it is "SUB" for subscript, indicating the term.  Sometimes, sequences are written with the first term being a1 and sometimes sequences are written with the first term being a0.  This is because there are situations that make one or the other more convenient (for example, starting with elapsed time t=0 makes sense).

 

To find the value of later terms, a recursive definition requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, ... which requires that use the value of the first term.

 

That's why (joke) that the dictionary definition of "recursive" is "see recursive."

Which equation represents the vertical line shown on the graph?

Answers

X = -4
It can also be written as x + 4 = 0

Answer:

The answer is A. X - 4 = 0 because it represents the vertical line shown on the graph

what is 9 percent of 30948

Answers

Answer:

2785,32

Step-By-Step:

30948*0.09

Answer:

2785.32

Step-by-step explanation:

solution,

9 % of 30948

= 9/100×30948

= 278532/100

= 2785.32

9%of 30948 is 2785.32

What is the area of a rectangle with a length of 1/3 yards and width of 3/4 yard?

Answers

Answer:

1/4 yards squared

Step-by-step explanation:

Area of a rectangle equals length times width.

1/3 x 3/4 = 3/12, or 1/4

Answer:

It would be 1/4 and if not try 3/12

Step-by-step explanation:

I hope this helped

A local restaurant only sells burgers and cokes. 3 burgers and 5 comes cost $17, while 6 burgers and 9 cokes cost $33. What’s the price of a burger?

Answers

Answer:

The price of a burger is $4 and that of cone is $1.

Step-by-step explanation:

Let the cost of burger is x and that of cone is y.

ATQ,

3x+5y = 17 ....(1)

And

6x + 9y = 33 ...(2)

Multiply equation (1) by 2.

6x + 10 y = 34 ...(3)

Subtract equation (2) from (3)

6x + 10 y-(6x + 9y) = 34 - 33

6x + 10 y-6x- 9y = 1

y = 1

Put the value of y in equation (1)

3x+5 = 17

3x = 12

x = 4

So, the price of a burger is $4 and that of the cone is $1.

please no fake answers ,I need help:)

Answers

Answer:

A. 2.10b + 12.99 = 21.39; 4 bottles

Step-by-step explanation:

The b represents bottles of water, at the end of the equation. If each bottle is $2.10, and there were 4 bottles brought, $2.10 * 4 = $8.40, and $8.40 + $12.99 is $21.39.

A: because 21.39 minus 12.99 equals 8.4 which is 8 dollars and 40 cents. And 8.4 divided by 2.10 is 4. HOPE THIS HELPS!

It takes Andre 4 minutes to swim 5 laps. a.How many laps per minute is that?

Answers

Answer:

1.25 laps per minute

Step-by-step explanation:

1.25 laps per minute

When a fair 6 sided dice is rolled, what is the probability that is will land on the five?

Answers

Answer:

1/6

Step-by-step explanation:

Only one of the six sides is a 5 on the die. So there is a 1/6 chance that it will land on it

It would be 1/6 chance of it rolling on 5 because the dice has 6 sides, so if a dice has 8 sides then it would be a 1/8 chance to roll on any number

Joe paid $14.00 for a board game. This is 70% of the original price. What was the original price?

Answers

Answer:

69.99

Step-by-step explanation:

Answer:

23.80

Step-by-step explanation:

find slope please help

Answers

Answer:

slope = -5/2

Step-by-step explanation:

rise/run

down 5

right 2

Pls help 2 and 3!!!!!!!!!

Answers

Answer:

2)

d. -1 1/2

3)

c. 21 1/2

Step-by-step explanation:

Write an expression to represent a number plus 4.

Answers

Answer:

n + 4

Step-by-step explanation:

n represent the number we are adding to 4 obviously

And 4 is 4 obviously

Hope this helps!

t-4 . that's so easy !

Whoever answers gets brainlist!

Answers

Answer:

21 over 6 (21/6)

26 over 6 (26/6) =47 over 6 (47/6)

your final answer is 7 5/6

Step-by-step explanation:

Step-by-step explanation:

[tex]3 \frac{3}{6} + 4 \frac{2}{6} [/tex]

Which simplifies to:

[tex] \frac{21}{6} + \frac{30}{6} [/tex]

When added is:

[tex] \frac{51}{6} [/tex]

When transformed back into a Mixed Fraction:

[tex]8 \frac{3}{6} [/tex]

someone please help me!!! ill give brainliest

Answers

16 cm^2. The area of a triangle is 1/2 x b x h, hence, 1/2 x 8 x 4= 16cm^2
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