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

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

A store owner recorded the number of tickets sold each hour. The graph shows some of the store owner's data. What is the slope of
the line shown?

A) 1

B) 2

C) 4

D)1/2

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G where is the slope no photo no answer

HELP ME PLS :(

Janis is 65 inches tall. What is her height in centimeters? (2.54 cm = 1 inch)

Answers

Answer:

I think the answer 165.1 cm tall

Step-by-step explanation:

multiply 2.54 by 65

Answer:

165.10cm

Step-by-step explanation:

i think so

Which of these isn't a proportional relationship? 15:30 & 1:2 3:9 & 9:27 05.10 & 10:20 2:4 & 4:2

Answers

Answer:

4:2

Step-by-step explanation:

what is 5,300 rounded to the nearest thousand

Answers

Answer:

5,000

Step-by-step explanation:

They looked around and then rushed toward each other. A cry of alarm surged through Tompkins Square Park. Was this a fight to the death instead of a boxing match?

The fear soon gave way to wave upon wave of cheering as the two amigos embraced.

No matter what the decision, they knew they would always be champions to each other.

PLEASE HURRY I ONLY HAVE 5 MINS

Answers

Answer:

B is the answer foks thanks for looking

Step-by-step explanation:

They looked around and then rushed toward each other. A cry of alarm surged through Tompkins Square Park. Was this a fight to the death instead of a boxing match?

The fear soon gave way to wave upon wave of cheering as the two amigos embraced.

No matter what the decision, they knew they would always be champions to each other.

(continued)

Based on the passage, how do the boys resolve their conflict?

They decide to fight to the death.

They decide not to care who the winner is.

They decide to fight a rematch.

They decide to end their friendship.

Answer:

Step-by-step explanation:

8. Find y
(9x + 37) (7y-1)
16x+8)° (11y+19)

Answers

Answer:

6 plus 9

Step-by-step explanation:

Which equations could you solve using the addition property of equality? Check all that apply.
4+ y = 100
y -4 = 100
4y = 100 4 + 100=y
100 = y - 5

Answers

Answer:

4 + y = 96 = 100

y = 104 - 4 = 100

4 y = 25 = 100 4 + 100 = y = 104

100 = y = 105 - 5

Step-by-step explanation:

Plz mark me as brainliest have a good day

The equations could you solve using the addition property of equality is

y- 4 = 100.

We have to apply the property of addition equality

Now,

4 + y = 100

y= 96

and, y -4 = 100

y = 104

and, 4 y = 100

y= 25

and, 100 = y - 5

y= 105

Thus, the required equality is y- 4 = 100.

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Pls help- I'm having trouble

Answers

I’m pretty sure it would be A!im learning this too ahah

f(x)=x^2+2x-1
find f(-3)

Answers

Answer:

Step-by-step explanation:

Please help! it's algebra 2! correct answers only!

Answers

To create a square trinomial on the left side of the equation, find a value that is equal to the square of half of.

What is the K for this story Problem? John bought 27 baseball cards for $9. How many baseball cards can he buy with $84?

Answers

Answer:

210

Step-by-step explanation:

9 divided by 27 = .33333 = .4

you would divide 9 by 27 because if you did 27 divided by 9 he would only have 3 cards

84 divided by .4 = 210

Jack borrowed $1.50 from his friend Jenna every day for five days last week. What rational number represents how much Jack owed his friend last week?

Answers

Answer:

$7.50

Step-by-step explanation:

set up an equation: $ x days = total owed

1.50 x 5 = 7.50

Is 7:12 greater than less than or equal to 1:5

Answers

its greater because 7/12= 0.583... and 1/5= 0.2

i need help with this pls

Answers

Answer:

8x + 12 + 2x + 28 = 180

x = 14

Step-by-step explanation:

8x + 12 + 2x + 28 = 180

8x + 2x + 12 + 28 = 180

10x + 40 = 180

-40 -40

10x = 140

10 10

x = 14

any more help just ask :)

Nikki drew a rectangle with a perimeter of 18 units on a coordinate grid. Two of the vertices were (4, –3) and (–1, –3). What could be the coordinates of the other two vertices of the rectangle?

A. (4, 12) and (–1, 12)
B. (–1, 1) and (4, 1)
C. (4, 6) and (–1, 6)
D. (4, 7) and (–1, 7)

Answers

Step-by-step explanation:

I have read about this in my class

Answer:

ITS a.

Step-by-step explanation:

The table shows values of n and f(n) for the equation f(n) =
n(n+3)
2.
f(n)
1
2
2
5
3
9
4
?
What is the value of f(n) when n =
= 42
A 12
B. 13
C. 14
D. 28
E

Answers

I looked at the the picture and the answer is A. 12

I guess the 2 was supposed to be a question mark judging by the picture...

six added to 9 times a number is 33. find the number

Answers

Answer:

The number is 3

Step-by-step explanation:

6 + 9n = 33

-6 -6

9n = 27

÷9 ÷9

n = 3

Look at pic and answer ASAP

Answers

The one u got chosen already :)

Answer:

the second one, the one that is already highlighted is correct.

Step-by-step explanation:

she divided it up among them so 20 over x shows division

What is measure of arc NP?

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Are you learning how to arc things

Please help me answer!

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Answer:

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the answer to that is b y=2x-3

solve the equation 4p + 2 =22,using a double number line

Answers

Answer:

the answer is 5

Step-by-step explanation:

Question 25
A stock has a beta of 1.5 and an expected return of 16.35%. What is the risk-free rate if the market rate of return is 12.5%?
96

Answers

Answer:

4.8%

Step-by-step explanation:

Given that :

Stock beta (B) = 1.5

Expected return = 16.35% = 0.1635

Maeket rate of return (Rm) = 12.5% = 0.125

Risk-free rate of return (Rf) =?

Using the relation :

Expected rate of return = risk free rate + Beta(market rate - Risk-free rate)

Expected rate of return = Rf + B(Rm - Rf)

Plugging our values :

0.1635 = Rf + 1.5(0.125 - Rf)

Open the bracket

0.1635 = Rf + 0.1875 - 1.5Rf

Collect like terms

0.1635 - 0.1875 = Rf - 1.5Rf

−0.024 = - 0.5Rf

Divide both sides by - 0.5

0.024 / 0.5 = Rf

Rf = 0.048

Rf = 0.048 * 100% = 4.8%

13. solve
(1 Point)
m/18 = - 1/9

a.) m = -3
b.) m = -4
c.) m = -2
d.) m = -1

Answers

Answer:

m = -2

Step-by-step explanation:

m/18 = - 1/9

m = -1/9 * 18

m = -2

Felicia has a stack of 10 cards. Each card is labeled with a number in the range 1 through 10 and no two cards have the same number. She picks three cards at random from the stack and adds the numbers on the three cards. What is the expected value of the sum

Answers

Answer:

The expected value of the sum of three numbers chosen out of 10 numbers will be 16.5.

Step-by-step explanation:

Felicia has a stack of 10 cards with number 1,2,3,4,5,6,7,8,9,10

Selecting 3 cards out of 10

10C3 = 120

Now she picks three cards to look at their numbers and sum it up

The possible three numbers are

(1 2 3), (1 3 2), (2 1 3) ,(2 3 1), (3 1 2), (3 2 1) ,(1 2 4), (1 4 2), (2 1 4), (2 4 1),

(4 1 2)│(4 2 1), (1 2 5), (1 5 2)│(2 1 5), (2 5 1) ,(5 1 2), (5 2 1), (1 2 6), (1 6 2), (2 1 6), (2 6 1), (6 1 2) ,(6 2 1) ,(1 2 7), (1 7 2) ,(2 1 7), (2 7 1), (7 1 2), (7 2 1), (1 2 8), (1 8 2), (2 1 8) ,(2 8 1), (8 1 2) ,(8 2 1), (1 2 9), (1 9 2), (2 1 9), (2 9 1), (9 1 2), (9 2 1),

(1 2... …, (6 10 8), (8 6 10), (8 10 6), (10 6 8), (10 8 6), (6 9 10), (6 10 9), (9 6 10),

(9 10 6), (10 6 9), (10 9 6), (7 8 9), (7 9 8), (8 7 9), (8 9 7), (9 7 8), (9 8 7), (7 8 10),

(7 10 8), (8 7 10), (8 10 7), (10 7 8), (10 8 7), (7 9 10), (7 10 9), (9 7 10), (9 10 7),

(10 7 9), (10 9 7) , (8 9 10), (8 10 9), (9 8 10), (9 10 8), (10 8 9), (10 9 8)

Now we sum it all up so minimum sum can be 1+2+3 = 6 andthe maximum can be 8+9+10 = 27

Let S denote the sum of the three numbers that are chosen and P(S=k) denotes its probability

P(S=6)=1/120

P(S=7)=1/120

P(S=8)=1/60

P(S=9)=1/40

P(S=10)=1/30

P(S=11)=1/24

P(S=12)=7/120

P(S=13)=1/15

P(S=14)=3/40

P(S=15)=1/12

P(S=16)=1/12

P(S=17)=1/12

P(S=18)=1/12

P(S=19)=3/40

P(S=20)=1/15

P(S=21)=7/120

P(S=22)=1/24

P(S=23)=1/30

P(S=24)=1/40

P(S=25)=1/60

P(S=26)=1/120

P(S=27)=1/120

Now adding all the sum in order to get the expected value

∑(K=6 to 27) k*P(S=k) = 33/2 = 16.5

Therefore the expected value of the sum is 16.5.

There was a study done on oxygen consumption of snails as a function of pH, and the result was a degree 4 polynomial whose graph is shown.

Which of the following statements about this function is INCORRECT?

Answers

Answer:

A. There is a positive leading coefficient

Step-by-step explanation:

Polynomials can be represented as an equation or graphs.

The incorrect option is: (b) There is a positive leading coefficient.

The polynomial has a degree of 4; this means that the degree of the polynomial is even.

So option (a) The degree of the polynomial is even is true

From the graph, we can see that the function decreases at (7<x<8) and (9<x<10)

This means that, the function decreases at two intervals

So option (d) There are two intervals where the function is decreasing is also true

Also, the function is at maximum at x = 7 and x = 9.

This means that:

Option (c) At two pH values, there is a relative maximum value

Hence, the incorrect option is:

(b) There is a positive leading coefficient.

This is so because, the graph decreases at some points on the graph.

This means that, the graph has a negative leading coefficient.

Answers

The number of groups of 3/4 in 11/4 is 3 2/3

Divide 11/4 by 3/4

= 11/4 ÷ 3/4

multiply by the reciprocal of 3/4

= 11/4 × 4/3

= (11 × 4) / (4 × 3)

= 44/12

= 3 8/12

= 3 2/3

Therefore, number of groups of 3/4 in 11/4 is 3 2/3

Learn more about division of fraction;

https://brainly.com/question/2261275

A house has increased in value by 36 percent since it was purchased. If the current value is 306000 what was the value when it was purchased?

Answers

Answer:

$225,000

Step-by-step explanation:

Step-by-step explanation:

To calculate the percentage change we will apply the formula:

p= N-O/O *100

p is the increased percentage

N is the current value

O is the old value.

Substitute the values in the formula:

36 = 306,000 - O/O *100

Divide both the sides by 100

36/100 = 306,000 - O/O *100/100

36/100 = 306,000 - O/O

Now multiply O at both sides

36/100 * O = 306,000-O/O * O

At R.H.S O will be cancelled by O

At L.H.S 36/ 100 = 0.36

0.36 O= 306,000-O

Combine the like terms:

0.36 O+O =306,000

1.36 O = 306,000

Divide both the terms by 1.36

1.36 O/ 1.36 = 306,000/1.36

O= $225,000

Therefore when the house was purchased its value was $225,000....

Find the value of y given ordered pairs and slope.
(8,0) (4, y) slope= 1/2

Answers

Answer:

-1/4xy+y=0

Step-by-step explanation:

Which expression represents the sum of 8 and twice a number??

A: 8+n

B: 8×2n

C: 8+2n

D: 2×(8+n)

Answers

Answer:

Step-by-step explanation:

Answer:

that means 2 × (8 + n)

then that will be the expression used

Coach McGee uses the table to show her team’s current basketball shot average compared to previous years.

2008
2009
2010
–5.8
4.4
StartFraction 37 Over 10 EndFraction
2011
2012
2013
3.6
4 and one-third
Negative 5 and three-fourths

Which comparison is true? Use the number line to help you.

A number line going from negative 6 to positive 6 in increments of 1.

Negative 5.8 > Negative 5 and three-fourths
3.6 4.4

Answers

Answer: The answer is B, 3.6 < 37/10

Answer: I believe that your answer is B.

37/10 is greater than 3.6.

I hope I helped you!

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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

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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