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
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.
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.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
Related Questions
Look at pic and answer ASAP
Answers
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
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:
solve the equation 4p + 2 =22,using a double number line
Answers
Answer:
the answer is 5
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...
What is measure of arc NP?
Answers
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.
Learn more about Addition Equality here:
https://brainly.com/question/27281756
#SPJ2
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:
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.
Read more about polynomials at:
https://brainly.com/question/17333460
Please help me answer!
Answers
Answer:
B
..................
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....
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
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:
b
Step-by-step explanation:
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
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
how many groups of 3/4 are in 11/4
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
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
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 :)
Pls help- I'm having trouble
Answers
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.
Please help! it's algebra 2! correct answers only!
Answers
B.
To create a square trinomial on the left side of the equation, find a value that is equal to the square of half of.
f(x)=x^2+2x-1
find f(-3)
Answers
Answer:
2
Step-by-step explanation:
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!
Is 7:12 greater than less than or equal to 1:5
Answers
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:
D
Step-by-step explanation:
Answer:
that means 2 × (8 + n)
then that will be the expression used
what is 5,300 rounded to the nearest thousand
Answers
Answer:
5,000
Step-by-step explanation:
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
8. Find y
(9x + 37) (7y-1)
16x+8)° (11y+19)
Answers
Answer:
6 plus 9
Step-by-step explanation:
69
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%
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:
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