The Answer will be 138.8675
A utility company might offer electrical rates based on time-of-day consumption to decrease the peak demand in a day. Enough customers need to accept the plan for it to be successful. Suppose that among 50 major customers, 15 would accept the plan. The utility selects 10 major customers randomly (without replacement) to contact and promote the plan. a. What is the probability that exactly two of the selected major customers accept the plan
Answer:
0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan
Step-by-step explanation:
The customers are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
50 major customers, 15 would accept the plan.
This means that [tex]N = 50, k = 15[/tex]
The utility selects 10 major customers randomly (without replacement) to contact and promote the plan.
This means that [tex]n = 10[/tex]
a. What is the probability that exactly two of the selected major customers accept the plan
This is P(X = 2).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,50,10,15) = \frac{C_{15,2}*C_{35,8}}{C_{50,10}} = 0.2406[/tex]
0.2406 = 24.06% probability that exactly two of the selected major customers accept the plan
A hockey team scored the following number of goals in their last 5 games:
2, 3, 5, 3, 2
Which is the mean absolute deviation of the number of goals?
Answer:
3.3
Step-by-step explanation:
A farmer wants to build a rectangular pen using 20 feet of fencing, but the length is to be 4 feet more than the width. What is the length of the pen, in feet?
Answer:
The length of the rectangular pen is 40ft. The width of the rectangular pen is 20ft
Answer:
7ft
Step-by-step explanation:
2W+2L=20
2(W+L)=20
2(W+(W+4))=20
4W+8=20
4W=12
W=3
or
If 20 is the total length of fencing used, the length of the fence is to be 4 ft longer than the width, and we know this is a rectangular pen (meaning it has 4 sides), we first multiply 4 (the additional ft for the length side) by two to get 8. Next we subtract 8 from the total amount of fencing (20) to get 12. Finally, since we know there are 4 sides to a rectangle, we divide 12 by 4 to get the width. Now since the length is 4 ft longer than the width, and we are looking for the length, then we add 3+4 to equal 7.
7 is the length.
what is the decimal equivalent of 8/12
Answer:
0.666 repetitive, or 0.67
Step-by-step explanation:
According to the graph, what is the experimental probability of selecting the letter C?
Number of occurrences of letters
16.7%
24%
16%
20%
Answer:
16%
Step-by-step explanation:
50 events and C shows 8
50/8 = 16%
Answer:
The Answer is 0.16 = 16%
What % of $10 = $2??????
Answer:
20% of 10= 2 is the answer
hope this helps!
Jack had 3 bottles of soda. Each bottle held 2 1/2 cups of soda. How many cups of soda did he have total?
Answer:
1 1/5 cups of soda.
Step-by-step explanation:
To solve this you need to change 3 and 2 1/2 into improper fractions so you get 6/2 and 5/2. Then you have to flip 5/2 so it becomes 2/5 and then you just have to cross cancel. Since the 2 from 2/5 can go into the 2 in 6/2 one time, 2/5 changes into 1/5 and 6/2 changes to 6/1. Now you can multiply across so 6 times 1 is 6 and 1 times 5 is 5 so you get 6/5. Now you have to change it into a mixed number which would be 1 1/5.
I hope this helps you :D
Find the equation of the function in the graph
A) y=x
B) y=|x|
C) y=x3
D) y=x2
Answer:
D
Step-by-step explanation:
it is a graph of [tex]x^{2}[/tex]
Answer:
D.) y=x2
Step-by-step explanation:
Look in pic above, on EDGE NUITY I always used to graph to find the answer
Elena went 60 meters in 50 seconds. Noah went 50 meters in 10 seconds. Elena and Noah both moved at a constant speed. Who went faster? Explain your reasoning.
Select the expression(s) that simplifies to a value of 4.
3 + 8 ÷ 2 x 4
2 x 5 - 4 + 1
12 ÷(8 - 6 + 1)
9 ÷3 x 3 + 3
PLEASE HELP IMMEDIATELY!!!
Need help with it today
Answer:
C
Step-by-step explanation:
s - 7 + 5
s - 2
Match the labeled points on the graph to statements about their coordinates Two numbers with a sum of 2
Answer:
see explanation!
Step-by-step explanation:
Line N
A set of points where the coordinates of each point have a sum of 2Line M
A set of points where the y-coordinates of each point is 10 less than its x-coordinate
Any coordinate on N has a sum of 2.
Any coordinate on M has a y that is 10 less than the x.
The matching of the given labeled points provided on the graph regarding their statements would be as follows:
Line n - A set of points where the coordinates of each point have a sum of 2 Line m - A set of points where the y-coordinate of each point is 10 less than the x-coordinate.The points that line m represent would be:
Point E [tex](13, 3)[/tex]
Point B [tex](6, -4)[/tex]
Point D [tex](2, -8)[/tex]
The points signalled by line n are as follows:
Point A [tex](-2, 4)[/tex]
Point B [tex](6, -4)[/tex]
Point C [tex](12, -10)[/tex]
Now, if we solve for lines
Line m
[tex]x_{1} + y_{1} \\= 13 + 3\\= 16[/tex]
While for Line n
Point A
[tex](x_{1} + y_{1}) = (-2 + 4) \\= 2[/tex]
Point B
[tex]x_{2} + y_{2} = 6 + (-4) \\= 2[/tex]
Thus, the correct match would be as above.
Learn more about "Coordinates" here:
brainly.com/question/16634867
Help please! I need help with this two step equations
Answer:
search it up on goggle lll
Answer:
3
Step-by-step explanation:
PLEASE ANSWER I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLYY PLS AND TY
Answer:
it is a function
Step-by-step explanation:
Domain is 7 and the range is all the x values
Arlene borrows $400 on a 4-year loan. She is charged 5% simple
interest per year. How much interest is she charged for 4 years? What
is
the total amount she has to pay back?
I
Answer:
For 4 years she is charged $20. She has to pay back $420
Step-by-step explanation:
Which of the following integers is a solution to the inequality below?
-3x - 7 ≤ -7x - 27
Select one:
a. -6
b. 1
c. -3
d. 4
How many terms are in the following expression:
2x3 + 3x2 + 2 - 1
A. 1
B. 4
C. 6
D. 11
Answer:4
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The numbers are the terms
6 numbers 6 terms
Can someone help me please it’s urgent what’s the answer or property of c?
Answer:
Associative property
Step-by-step explanation:
1 2/3 +(-2/5) as a fraction
(25 + 19) + 15 = (19 + 25) + 15
What property is that equation
Answer:
Commutative Property
Step-by-step explanation:
It looks like Associative property which is when you change the GROUP, but actually it’s commutative because it didn’t change any numbers in the group, just the order of where they were.
Associative: (25 + 19) + 15 = (15 + 19) + 25
Commutative: (25 + 19) + 15 = (19 + 25) + 15
It didn’t change the numbers, only the order. Therefore, it would be commutative property
Answer:
25+19=44
44+15=59
19+25=44
44+15=59
A computer is on sale for 25% off. If the sale price is $449, what was the original price?
Answer:
discount=25%
selling price=$449
original price=?
Step-by-step explanation:
we have
original price=selling price + discount% of original price
original price-discount% of original price=$449
original price (1-25/100)=$449
original price=$449/0.75=$598.66
What is the fraction equivalent of 2.151515?
Answer:
430303/200000
Step-by-step explanation:
hope this helps!!!
Find f(-4) for f(x)=x^4-7x^2-12
Help me.. People who are just trying to get points by just spamming peoples questions, will be reported
Answer:
I'd say half
Step-by-step explanation:
Find the slope and y-intercept of the graph of the equation y=1/2x+7
help!!! Pleasee thank youuuu
Answer:
a
Step-by-step explanation:
it is the reflection or mirror image
All 30 pupils in a class took part in a sponsored spell to raise money for charity. The pupils were expected to get an average of 14 spellings cprescr each. The average amount of sponsorship was 20 pounds for each correct spelling. How much money would the class expect to raise for charity altogether? Give answer in pounds
Answer: £84
Step-by-step explanation:
The number of pupils in the class is 30, and the average number of correct spellings for each pupil is 14.
The total expected correct spellings is 30 x 14 = 420 spellings.
The average sponsorship for each correct spelling is 20p which = £0.20.
Therefore, the number of pounds the class is expected to raise for charity is 420 x 0.20 = £84.
Number of pounds the class is expected to raise for charity is 8400 pounds.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Number of pupils in the class = 30
Average number of correct spellings for each pupil = 14.
The total expected correct spellings is 30 x 14 = 420 spellings.
The average sponsorship for each correct spelling is 20 pounds
The number of pounds the class is expected to raise for charity is 420 x 20 = 8400 pounds
Thus, number of pounds the class is expected to raise for charity is 8400 pounds.
Find out more information about multiplication here
https://brainly.com/question/14059007
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APQR is similar to AXYZ.
What is the length of XZ?
Answer:
15
Step-by-step explanation:
scale factor is 1.5
10*1.5 =15
Evaluate -2x+6y when x= -3 y=-1
Answer:
0
Step-by-step explanation:
Substitute x for -3 and y for -1:
= -2(-3) + 6(-1)
= 6 + -6 (or 6 - 6)
= 0