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
Solve the equation for all values of x in simplest form:
(x – 3)^2 = 11
Please help this is my last thing to do!!!
A rectangle has sides measuring (3x + 5) units and (6x + 11) units. Part A: What is the expression that represents the area of the rectangle? Show your work
Part B: What are the degree and classification of the expression obtained in Part A?
Part C: How does Part A demonstrate the closure property for polynomials?
Answer:
area = 18x² + 63x + 55 square units
Second-degree trinomial.
Step-by-step explanation:
area = (3x+5)(6x+11) = 18x² + 63x + 55 square units
Second-degree trinomial.
What is the volume, in cubic cm, of a rectangular prism with a height of 8cm, a width of 2cm, and a length of 7cm?
Please , help .
Answer:
v = A x H = LxW xH = 7cm x 2cm x 8cm =112CM^3
Answer:
112 cm³
Step-by-step explanation:
In this question, we have to find the volume of a rectangular prism.
The formula to find the volume of a rectangular prism would be: V = L × W × H
To find the volume, plug in the values and solve.
Solve:
V = 7 × 2 × 8
V = 14 × 8
V = 112
This means that the volume of the rectangular prism is 112 cm³
Remember, volume is always represented with a exponent of 3, or cubed, in the unit.
Your answer would be 112 cm³
8) HELP PLEASE ILL GIVE BRAINLIEST!! Find the median of the set of data.(Remember to put the
list in numerical order)
10, 15, 8, 1, 3, 10, 6, 3
a. 7
b. 10
c. 4.5
d. 9
Becky made 63 carnival masks, which is 30% less than the number her brother made. How many carnival masks did becky and her brother make in total?
HELP
Answer:
153
Step-by-step explanation:
An investor has an account with stock from two different companies. Last year, her
stock in Company A was worth $800 and her stock in Company B was worth $6180.
The stock in Company A has decreased 1% since last year and the stock in Company B
has decreased 5%. What was the total percentage decrease in the investor's stock
account? Round your answer to the nearest tenth (if necessary).
Answer:
4.5%
Step-by-step explanation:
800(1-0.01)=\color{green}{792}
800(1−0.01)=792
6180(1-0.05)=\color{blue}{5871}
6180(1−0.05)=5871
Last Year This Year
Stock A 800 792
Stock B 6180 5871
Total 6980 6663
\text{Find overall decrease:}
Find overall decrease:
6980(1-r)=6663
6980(1−r)=6663
\frac{6980(1-r)}{6980}=\frac{6663}{6980}
6980
6980(1−r)
=
6980
6663
1-r=0.954585
1−r=0.954585
-r=-0.045415
−r=−0.045415
Subtract 1
r=0.045415
r=0.045415
Divide by -1
\text{Final Answer: }4.5\%
Final Answer: 4.5%
Multiply by 100 and round to nearest 10th
the sale price for swimming lessons is $20 per hour. The sale price for new student and 75% of the regular price
Answer:
Step-by-step explanation:
Your answer
New student price = 15$
Mark it as Brainlist answer. Follow me.
how do you write the point-slope form of the equation that has a slope of -5/6 point (8,-4)
Answer:
Step-by-step explanation:
the equation of a line in
point-slope form
is.
xy − y1 = m(x−x1)
where m is the slope and (x1 - y1 ) a point on the line
to calculate m use the
gradient formula
m= y2−y1
x2−x1
let ( x1 , y1) =( 8, 5) and ( x2 ,y2 ) = (0, −4)
⇒ m= -4-5/0-8= -9/-8= 9/8
using m= 9/8 and (x1- y1) = (8,5) then
y-5= 9/8(x-8)
answer please quick i need help i only have 3 mins left
Answer:
70/100 ⋅ 80
0.7 ⋅ 80
7/10 ⋅ 80
Step-by-step explanation:
Brainliest please??
Paul has a 40 ft. by 30 ft. pole barn on his farm that he wants to move. The southeast corner of the pole barn is currently located 50 ft. west and 25 ft. north of the stock tank where the cows get their water. Paul wants to move the pole barn so the southeast corner of the barn is located 80 feet east and 80 feet south of the stock tank
1. 1. Complete the transformation statement for moving Paul’s pole barn, (x,y) (x+ fill in the blank, y + fill in the blank)
2. Draw the new location of the pole barn on the graph below. Note that the stock tank is located at the origin
3. How far is it from the old location to the new location? (Hint: use the distance formula
Answer:
Step-by-step explanation:
(x,y) ↦ (x+130, y-105)
original position of SE corner: (-50,25)
new position of SE corner: (80,-80)
distance = [tex]\sqrt{(80-(-50))^{2}+(-80-25)^{2} }[/tex]≅167.1 ft
What is the approximate circumference of the circle shown below?
A. 135 cm
B. 74 cm
C. 47 cm
D. 148 cm
Answer:
D
Step-by-step explanation:
[tex]c = 2\pi \times r = 2\pi \times 23.5 = 147.65[/tex]
=148 cm
Answer:
148 cm.
Step-by-step explanation:
I just got it right.
What is the area of the triangle below?
8 in.
17 in.
Answer:
68
Step-by-step explanation:
Answer:
68 In
8*17- now, this would give you the area of a rectangle or square. but, since this is half of a rectangle or square, you divide that answer in half, giving you your final answer of 68 square inches as the area
Step-by-step explanation:
Find the surface area of the square pyramid (above) using its net (below)
Answer:
7 votos
Answer:12Step-by-step explanation:For each of the four triangles you multiply the base (2) by the height (2) and then divide it by 2 which equals 2.
11 - m = 51 - 6m solve for m
Answer:
m = 9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Select the correct answer.
Which expression is equivalent to x + y + x + y + 3(y + 5)?
A. 2x + 5y +5
B. 2x + y + 30
C.2x + 5y + 15
D.2x + 3y + 10
Answer:
c
Step-by-step explanation:
10. The perimeter of Lola's rectangular
backyard is 76 feet. If the width of the
yard is 25 feet, what is the length of
the yard?
What is the answer
given f(x)=3x-5, find f(x+2)
Answer:
Step-by-step explanation:
Whenever a problem asks for f(x+n) or really anything, you just plug it into the OG function
f(x+2) = 3(x+2) - 5
= 3x + 6 - 5
=3x + 1
Jose is giving out prize bags at his party. Each bag must have 3 candy pieces and 4 toys. If Joe bough 15 candy pieces, how many toys does he need to buy? ANSWER ASAP PLEASE
Answer:
question-1 A large box contains 18 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
Solution
The number of chocolate bars is equal to
18 × 25 = 450
Step-by-step explanation:
this is only an example
comment me
aapko yeh kesa lga ?
Which Expression is equivalent to 2(3 + 6y)
Answer:
6+12y
Step-by-step explanation:
By using the distribution property
Sal is participating in a charity walk. The distance Sal walks, in kilometers, is proportional to the number of hours he spends walking.
Which statements are true about the distance Sal walks?
Select each correct answer.
the attachment is not clear dude...
Answer:
the attachment is not clearly
HELP THIS IS DUE TODAY:,)
Answer:
im going to say 2
Step-by-step explanation:
Write a rule for g described by the transformation of the graph of f...
Answer:
[tex]g(x) = 4-4\sqrt{x}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4\sqrt{x}+1[/tex]
1. 5 units down translation
2. Reflection in the x-axis
Required
Determine the resulting function g
1. 5 units down translation
This is defined by the rule:
A down translation is:
[tex]f'(x) = f(x) - b[/tex]
Where b is the number of units.
So, we have:
[tex]f'(x) = 4\sqrt{x} + 1 - 5[/tex]
[tex]f'(x) = 4\sqrt{x} -4[/tex]
2. Reflection in the x-axis
For a function f(x),
When reflected over the x-axis, it becomes -f(x)
So:
[tex]g(x) = -f(x)[/tex]
[tex]g(x) = -(4\sqrt{x} - 4)[/tex]
[tex]g(x) = -4\sqrt{x} +4[/tex]
[tex]g(x) = 4-4\sqrt{x}[/tex]
Please help don’t guess pick answer in the bottom please I’m begging you I need this grade!!! 40pts!!!
Answer:
1) x/4 < 4 ⇒ x < 4*4 ⇒ x< 16
x = 4, 8, 122) x + 3 ≥ 15 ⇒ x ≥ 12
x = 123) 19 > x + 4 ⇒ 15 > x ⇒ x < 15
x = 4, 144) 12 ≥ 6x ⇒ 2 ≥ x ⇒ x ≤ 2
x = 1, 25) 7x ≤ 21 ⇒ x ≤ 3
x = 1, 2, 36) 5 + x < 7 ⇒ x< 2
x = 17) x - 5 < 17 ⇒ x < 22
x = 9, 14, 158) 3x ≥ 18 ⇒ x ≥ 6
x = 6, 119) 20 > x + 9 ⇒ 11 > x ⇒ x < 11
x = 4, 81/4x=3/2 last one pleasee i need helpp
Answer:
x = 6
Step-by-step explanation:
Instructions? I'm assuming you were asked to "solve for x."
To eliminate fractions, multiply both sides by 4. This results in x = 6.
Cube 1 has a volume of 64 cubic inches and Cube 2 has a volume of 512 cubic inches. If the ratio of the surface area of Cube 1 and 2 is 1:4 what are the side lengths of Cube 1 and Cube 2? A) 4 and 26 B) 8 and 16 C) 4 and 8 D) 8 and 64
Answer:
4 and 8
Step-by-step explanation:
You don't need the surface area to find the edge length of a cube. Length of edge = ∛volume
Cube 1:
Length of each edge = ∛64 = 4 in.
Area of each face = 4² = 16 in².
Surface area = 6×16 = 96 in².
Cube 2:
Length of each edge = ∛512 = 8 in
Area of each face = 8² = 64 in²
Surface area = 6×64 = 384 in²
So the surface area is in the ratio 1:4
PLEASE HELPPPPPP
Solve this equation after changing it to have a base of e: 30 (.93) ^ x = 20
Answer:
U2I282 88X29Z SMQ0J9WJ8D,E,F,BF
Step-by-step explanation:
Riley got 6 out of 10 problems correct on her practice
test. If there are 150 problems on the actual test,
predict how many problems Riley will get correct.
Assume this relationship is proportional.
Answer:
90
Step-by-step explanation:
6/10 of 100 is 60, now add half of that, 30, add those together 60+30=90.
Answer:
my answer is 90
Step-by-step explanation:
i gogt 90 and i solve it too
An employee at a gift shop earns $72.00 for working 9 hours. At this hourly rate, what should the employee earn for a 40-hour work week?
Answer:
The employee would earn $320 for a 40-hour work week.
Step-by-step explanation:
Given
Total Earning amount = $72.00Total Time taken = 9 hoursTo determine
We have to find the employee's earning earn for a 40-hour work week.
First Step
Determining the hourly rate
In order to determine the hourly rate, the first step we need to do is to divide the earning amount by the total number of hours.
Hourly rate = Total Earning amount / Total Time taken
= $72.00 / 9 hours
= $8.00 per hour
Second Step
Determining the employee's earning earn for a 40-hour work week.
As we have already determined that employee is earning $8.00 per hour.
i.e.
Hourly rate = $8.00 per hourIn order to determine the employee's earning for a 40-hour work week, all we need is to multiply the hourly rate i.e. 8 with 40.
Thus,
Earning for 40-hour work week = Hourly rate × 40
= 8.00 × 40
= $320
Therefore, the employee would earn $320 for a 40-hour work week.
How many times bigger is a group of 18 coins than a group of 3 coins?
Answer:
6 times
Step-by-step explanation:
18 / 3 = 6
Answer:
6
Step-by-step explanation:
Solve:
6*3= 18
Check your work:
18 divided by 3
OR
18 divided by 6
Hope this helps!
- Identify a pair of alternate exterior angles.
1
2
8
3
3
7
4
6
3
O <3 and 24
O_1 and 2
O_1 and 26
OL2 and 26
Answer:
should be angle 2 and angle 6
