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
Find the slope and y-intercept of equation y= 10x + 18
Answer:
slope is 10
y-intercept is 18
Step-by-step explanation:
The slope and y-intercept in y = 10x + 18 are 10 and 18 respectively.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given a line in slope-intercept form which is y = 10x + 18.
We know in y = mx + b, slope = m, and y-intercept = b.
∴ In y = 10x + 18.
Slope = 10 and y-intercept = 18.
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Estelle has 6 liters of juice. If she pours 0.25 liters into each glass, how many glasses of juice will she make?
Answer:
24 glasses
Step-by-step explanation:
We are given that
Estelle has juice=6 liters
She pours juice in one glass=0.25 L
We have to find the number of glasses of juice made by her.
Using unitary method
0.25 L juice pour in 1 glass
1 L juice pour in 1/0.25 glasses
6 liters juice pour in glasses=[tex]\frac{1}{0.25}\times 6[/tex]
6 liters juice pour in 24 glasses
Hence, she will make 24 glasses of juice.
F(x) =3x-10 when x=3
when x = 3,
y = -1
F(x) = 3(3) - 10 = 9 - 10 = -1
What absolute value represents a number greater than |0.37|
A: |-0.38|
B: |-0.35|
C: |-0.37|
D: |-0.39|
No wrong answers!
A $65.00 coat is now on sale for $52.00. What percent discount is given.
65-52=13
13x100
65 = 20%
the discount is given 20%
find the solution
[tex]3(2x + 12) = 6(x + 6)[/tex]
For each part, write the equation that represents the line in slope-intercept form (y = mx + b) and standard form (ax + by = c where a, b, and c are integers and a is not negative).
Answer:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept
Step-by-step explanation:
Answer:
Step-by-step explanation:
slope-intercept equation for graph a: y = -x + 1
standard-form equation for graph a: x + y = 1
:::::
Slope of line through (0,-2) and (3,4) = (4-(-2))/(3-0) = 2
Slope-intercept equation for graph b: y = 2x-2
Standard form: 2x-y = 2
NEED HELP WITH GEOMETRY
Answer:
m<1 = 76°
m<2 = 76°
m<3 = 49°
Step-by-step explanation:
✔️m<1 = 180 - (47 + 57) (sum of triangle)
m<1 = 76°
✔️m<2 = m<1 (vertical angles are congruent)
m<2 = 76° (substitution)
✔️m<3 = 180 - (55 + m<2) (sum of triangle)
m<3 = 180 - (55 + 76) (substitution)
m<3 = 49°
My cousin needs help on these questions
Answer:
Number 7.) triangle
Number 8.) Cylinder
Number 3.) Rectangle
Step-by-step explanation:
The historical walking tour of a town covers a total distance of 5 miles. The map shows that the path of the tour travels 3 inches north, 4 inches east, 2 inches south, and 1 inch west. How many miles does each inch on the map represent?
0.2 miles
0.5 miles
2 miles
10 miles
Answer:
0.2 miles
Step-by-step explanation:
Determine the domain of the following graph:
NEED HELP WITH GEOMETRY
Answer:
1. 37
2. 50
3. 50
4. 40
Step-by-step explanation:
hope I helped!!
You flip 15 fair coins once. What is the probability of getting at least 12 heads?
Answer:
0.017578 or 1.76%
Step-by-step explanation:
The probability of getting at least 12 heads is 0.01757.
What is Binomial Distribution?In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1- p), depending on the outcome's boolean value.
Given a coin is tossed 15 times,
to find the probability of getting 12 heads,
P(X ≥ 12) Probability of at least 12 successes
At least 12 successes include X-values of
X=12, 13, 14, 15
To solve this problem, find the sum of the binomial probabilities for each of the values of X, or if there is only one value of X, find the probability of P(X). In this problem,
P(12) + P(13) + P(14) + P(15)
P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)
p(x) = ⁿCₓpˣqⁿ⁻ˣ
n = 15
P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)
P(X ≥ 12) = ¹⁵C₁₂(0.5)¹²(0.5)¹⁵⁻¹² + ¹⁵C₁₃(0.5)¹²(0.5)¹⁵⁻¹³ + ¹⁵C₁₄(0.5)¹²(0.5)¹⁵⁻¹⁴
+ ¹⁵C₁₅(0.5)¹²(0.5)¹⁵⁻¹⁵
P(X ≥ 12) = 0.01388 + 0.00320 + 0.00045 + .0000030
P(X ≥ 12) = 0.01757
Hence probability is 0.01757.
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7. Original price: $32
Discount: ?
Sale price: $8
Answer:
The discount is $24 but if its percentage it is 75% off
Step-by-step explanation:
hope this helps
-7r2 + 7r + 2 = 2
Find Discriminant
Answer:
r = 1 , 0
Step-by-step explanation:
-7[tex]r^{2}[/tex] + 7r + 2 = 2
-7r(r-1)=2-2
-7r(r-1)=0
r-1=0
r=1
1. 8.3 is equal to _____ tenths ______ hundredths
2. 28 is equal to ______ hundredths _______tenths.
Answer:
8.3 is equal to eight tenths 3 hundredths
28 is equal to 28 tenths.
URGENT SOMEONE PLEASE HELP!!
Answer:
45°
Step-by-step explanation:
abcdefghijklmnopqrstuvwxyz
Answer:
1: 90 degrees
2: 45 degrees
3: 8
Step-by-step explanation:
This is the only reasonable answer
Does the equation represent a function? * (WILL GIVE BRAINLIEST IF RIGHT)
y = x^2 + 36
Yes this is a function because for any input value (x) you will get a unique output value (y).
Maggie runs 1/4 of a mile in 1.3 minutes. Olivia runs 2/3 of a mile in 2.9 minutes. Who runs faster?
Answer:
Olivia-2.25
Hope I helped
THIS IS A BREAK QUESTION
what is your favorite school subject
Answer:
Art
Step-by-step explanation:
...................
Answer:
Music
Step-by-step explanation:
Have a good rest of your day!
x = 6y – 14
-X + 9y = 17
after substitution :
-6y + 14+ 9y = 17
= 14 + 3y = 17
by subtracting 14 :
3y = 3
by dividing over 3 :
y = 1
after substitution:
x = 6 * 1 - 14 = 6 - 14 = -8
x = -8
Find 142.1% of 469.6. Round to the nearest thousandth.
Answer:
667.302???
Step-by-step explanation:
I tried my best but I don't know if it's right though
Determine whether the ratios 1:2 and 3:4 are equivalent
Answer:
They are not equivalent
Step-by-step explanation:
1:2 is the same as 2:4
2:4 does not equal 3:4
nesesito ayuda con este problema
Answer:
Step-by-step explanation:
I KNOW SPEAK SPANISH GO TO A MEXICAN SITE NOT A AMERICAN SITE
Kylie has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Kylie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Kylie performs the experiment 46 times. The results are shown below:
A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.
Based on these results, express the probability that the next chew Kylie removes from the bag will be a flavor other than lime as a decimal to the nearest hundredth.
Answer:
The probability is 0.609
Step-by-step explanation:
Out of 46 times that the experiment was performed:
A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.
We can find the relative frequency of each one of them as the quotient between the number of times that a particular chew was selected, and the total number of chews.
Then for the orange ones we have a relative frequency (that can be thought as the probability) of:
Po = 5/46
For apple we get:
Pa = 23/46
For Lime we get:
Pl = 18/46
We want to find the probability that the next chew Kylie removes from the bag will be a flavor other than lime (so this is equal to the probability of getting orange plus the probability of getting apple):
P = Po + Pa = 5/46 + 23/46 = 0.609
Answer:
0.61
Step-by-step explanation:
Kylie has a bag that contains orange chews, apple chews, and lime chews. She performs an experiment. Kylie randomly removes a chew from the bag, records the result, and returns the chew to the bag. Kylie performs the experiment 46 times. The results are shown below:
A orange chew was selected 5 times.
A apple chew was selected 23 times.
A lime chew was selected 18 times.
Based on these results, express the probability that the next chew Kylie removes from the bag will be a flavor other than lime as a decimal to the nearest hundredth.
The experiment occured 46 times, a flavor other than lime was selected 5+23=28 times.
Probability the next chew will be a flavor other than lime:
\frac{\color{steelblue}{28}}{\color{indianred}{46}}=
46
28
=
\,\,0.608695...
0.608695...
\approx
≈
\,\,0.61
0.61
Which fraction has the same value as 0.3
1. Circle the figure you would use to make the Escher‐like tessellation given.
Answer:
b ? i have never seen anything like this though so please dont take my word
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLS SHOW THE WORK!!!!!!!!
Answer:
The answer is (-4/11, -19/11)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation. Hoped this helped!
Brainly, Please?
Here are the ingredients needed to make 8 pancakes.
250 ml milk
1 egg
140g flour
5G butter
Simon makes 4 pancakes. Work out how much milk he needs.
Craig makes 12 pancakes. Work out how much butter he needs.
Answer:
250ml milk ÷ 2 = 125 ml of milk
(5÷8) x 12 = 7.5G butter
hope this helped :)