A shipment of 12 television sets content to defective sets in how many ways can a hotel purchase five of these ads and receive at least two of the defective sets
Answers
Answer:
Total number of ways a hotel can purchase 5 of 12 sets and receive at least 2 defective sets = 288
Step-by-step explanation:
P.S - The exact question is -
Given - A shipment of 12 television sets contains 3 defective sets.
To find - In how many ways can a hotel purchase 5 of these sets and receive at least 2 of the defective sets?
Proof -
We know that The combination of n distinct objects taken k at a time is
[tex]^{n} C_{k} = \frac{n!}{k! (n-k)!}[/tex]
Now,
The number of ways hotel can receive 2 defective sets among 5 that can be purchased is
[tex]^{9} C_{3} * ^{3}C_{2} = \frac{9!}{3! (9-3)!} \frac{3!}{2! (3-2)!}[/tex]
⇒[tex]^{9} C_{3} * ^{3}C_{2}[/tex] = 84(3) = 252
Now,
The number of ways that hotel receives 3 defective sets among 5 that are purchased is
[tex]^{9} C_{2} * ^{3}C_{3} = \frac{9!}{2! (9-2)!} \frac{3!}{3! (3-3)!}[/tex]
⇒[tex]^{9} C_{2} * ^{3}C_{3}[/tex] = 36(1) = 36
Now,
Total number of ways a hotel can purchase 5 of 12 sets and receive at least 2 defective sets = 252 + 36 = 288
⇒Total number of ways a hotel can purchase 5 of 12 sets and receive at least 2 defective sets = 288
Related Questions
Solve for x. Round your answer to the nearest tenth. (one decimal place)
x=??
Answers
Answer:
12.208
Step-by-step explanation:
the answer is
X=12.2
Answer the following question
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Step-by-step explanation:
the answer is 4.8 hope it helps
Does anyone know this answer??
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Answer:
Option B is your answer ☺️☺️☺️
. Solve the inequality. q + 12 – 2(q – 22) > 0 q < 56 q < –32 q > –32 q > 56
Answers
Answer:
q < 56
Step-by-step explanation:
just follow the way I did it on rough sheet
find two numbers that have the given product and the given sum 36,16
Answers
Answer:
-2 and 18 is the answer
Step-by-step explanation:
Answer:
It differs by 4
16 - 12 = 4
4 = 4
Their product is 192
(16) (12) = 192
192 = 192
Step-by-step explanation: The sum of two numbers is 60 and their product is 576. Find the numbers. Let x and y are the two consecutive integers
The sum of two numbers is 60
x + y = 60 ---- (1)
Product of two numbers = 576
xy = 576
y = 576/x ----- (2)
Now we apply the value of x in (1)
x + (576/x) = 60
(x2 + 576) / x = 60
x2 + 576 = 60x
x2 - 60x + 576 = 0
(x - 12) (x - 48) = 0
x - 12 = 0
x = 12
If x = 12
y = 576 / 12
y = 48
x - 48 = 0
x = 48
If x = 48
y = 576 / 48
y = 12
So the required integers are 18 and The sum of two numbers is 60
48 + 18 = 60
60 = 60
The product is 576
48 (18) = 576
576 = 57648.
Two positive numbers differ by 4 and their product is 192. Find the numbers.
Let x and y be two positive numbers
It differs by 4
x - y = 4
x = 4 + y --- (1)
Their product is 192
xy = 192
y = 192/x --- (2)
By applying the value of y in (1), we get
x = 4 + (192/x)
x = (4x + 192)/x
x2 = 4x + 192
x2 - 4 x - 192 = 0
(x - 16) (x + 12) = 0
x - 16 = 0
x = 16
x + 12 = 0
x = -12
If x = 16
Then,
y = 192/16
y = 12
Since it is positive number we have to choose 16 for x.
very confusing help i dont understand
Answers
Answer:
12.8 servings
Step-by-step explanation:
[tex]1\frac{1}{4}[/tex] cups of milk is used to make 10 servings of a recipe.
If [tex]1\frac{1}{4}[/tex] cups or [tex]\frac{5}{4}[/tex] cups of milk is used to to make 1 serving.
Then 1 cup of milk will be required to make servings = [tex]\frac{1}{\frac{5}{4}}[/tex]
= [tex]\frac{4}{5}[/tex]
Since, 1 gallon = 16 cups
Therefore, 16 cups of milk will be required for servings = [tex]\frac{4}{5}\times 16[/tex]
= 12.8 servings
On Tuesday 12 inches of snow fell to the ground. How many inches of snow fell per hour ?
Answers
Answer:
720)))
Step-by-step explanation:
f(x) = - 4x ^ 2 + 4x - 4 Find f(3)
Need help
Answers
Answer: f(3) = - 28
Step-by-step explanation:
f(x) = - 4x² + 4x - 4
f(3) = - 4(3)² + 4(3) - 4 [We are solve for f(3), where x is equal to 3, we plug 3 for the x]
f(3) = - 36 + 12 - 4
f(3) = - 24 - 4
f(3) = - 28
please help me with this I will give you brainliest
Answers
Answer:
no it is not
Step-by-step explanation:
Let's use the Pythagorean theorem for this
a^2+b^2=c^2
60^2+63^2=88^2
3600+3969=7744
7569≠7744
This means that this triangle isn't a right triangle
Tony Stark earns 8% commission for every repulsor he sells. How much commission would Mr. Stark make on sales of $32,000,000?
Answers
can someone plsss help me
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Answer:
The equation for charge is = current x times
the circumference of a pizza is 44 inches find the radius of the pizza to the nearest tenth of a inch
Answers
Answer:
radius = 7
Step-by-step explanation:
HELP ASAP WILL MARK BRAINLIEST
Answers
Answer:
90°
Step-by-step explanation:
Does this triangle have a hypotenuse about 39 feet long?
Answers
Answer:
yes it is exactly 39 ft long
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
using the Pythagorean theorem:
36² + 15² = c²
1296 + 225 = c²
1521 = c²
c = 39 ft
what is the GCF of 360 &600
Answers
Answer:
120
Step-by-step explanation:
betwenn 360 & 600, 120 is the greatest common factor
What angle has degrees over 180?
Right
Reflex
Straight
Acute
Answers
reflex angle is the answer
Maggie tosses a coin off of a bridge into a stream below. The distance the coin is above the water is modeled by the equation below, where x represents time in seconds. What is a reasonable range for the function?
y= -16x^2+96x+112
Answers
Answer:
do 112 - 16x
Step-by-step explanation:
What are the x-intercepts for x2 - 5x + 6 = 0? (hint: factor
first)
Answers
Answer:x-intercepts (0,2) ; (0,3)
Step-by-step explanation:
x^2 - 5x + 6 =0
(x-2)(x-3) = 0
[-2 and -3 was the factors of 6, which make them equal to -5 when them add].
x-2=0 x-3=0
x=2 x=3
so x-intercepts (0,2) ; (0,3)
Ffthgvhgvhgvhhgjhjhvjhguyyg
Answers
Answer:
c is the correct option of the question
Answer:
c) [tex]3^{9}[/tex]
Step-by-step explanation:
[tex]3^{5}[/tex] = 3 x 3 x 3 x 3 x 3
[tex]3^{4}[/tex] = 3 x 3 x 3 x 3
all together would be 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
which would be [tex]3^{9}[/tex]
Please solve this for me
Answers
Answer:
Step-by-step explanation:
F
helpp pleaseee asap!!
Answers
Answer:
30 and 5 left over
Step-by-step explanation:
185/6=30.83333333
30x6=180
185-180=5 left
1. 30
2. 5
step by step:
Which of the following is a characteristic of all parallelograms?
A.
There are 4 right angles.
B.
Consecutive angles are congruent.
C.
Both pairs of opposite sides are congruent.
D.
The diagonals are perpendicular.
Answers
A characteristic of all parallelograms is both pairs of opposite sides are congruent.
What is parallelogram?A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram.
What are the properties of parallelogram?The opposites sides of a parallelogram are parallel.The opposite sides of a parallelogram are equal. The opposite angles of a parallelogram are equal.The diagonals of a parallelogram bisect each other. Same-side interior angles supplement each other.The diagonals divide the parallelogram into two congruent triangles.According to the question
The characteristic of all parallelogram is having opposite side equal and parallel (or congruent )
Hence, a characteristic of all parallelograms is both pairs of opposite sides are congruent.
To know more about parallelograms here:
https://brainly.com/question/9680084
#SPJ2
A taxi hurries for 1 hour 54min with a constant speed of 93km and then for another 5 hours 15min with a constant speed of 72km. What distance did it go
Answers
Speed = 93km /h and 72km/h
Answer: The taxi went a distance of 554.7km
Step-by-step explanation:
Speed = Distance / Time
Distance covered in the first trip = Speed x Time
Time = 1 hour 54 min =1+0.9 hours =1.9hours
=93km / h x 1.9 hours =176.7km
Distance covered in the second trip = Speed x Time
Time = 5 hours 15min = 5+0.25hours =5.25hours
=72km / h x 5.25hours =378 km
Total distance =176.7km+378 km
=554.7km
Please help as soon as possible
Answers
Answer:
3.5 grams
Step-by-step explanation:
just divide the number of peanuts by the number of raisins, 14/4=3.5, 21/6=3.5, 35/10=3.5
Answer:
3.5 for all
Step-by-step explanation:
divide the grams of peanuts by the grams of raisins
Help please :) with question 4 and 5 don’t mind the selected one i don’t know the answer to that one either
Answers
Answer:
8*f and the difference between 15 and m
Step-by-step explanation:
find the solutions for w
Answers
(Length) (width) (height)
(2w+4) (w) (18-w) = 1152
(2w^2+4w) (18-w) = 1152
Distributive property:
36w^2 -2w^3+72w-4w^2 =1152
Remember to use FOIL method:
-2w^3 +32w^2+72w-1152 =0
Like terms:
-2(w^3-16w^2-36w+576) = 0
Factor it by 2:
w^3 -16w^2-36w+576 =0
Simplify:
w^2(w-16)-36(w-16) =0
(w^2-36) (w-16) = 0
w= -6,6,16
Width:
w = 6,16
Since width is 16, then the height should be less than the width (18-16=2)
Length of gift bag: 2(6)+4
=16 inches.
Width of the bag: 6
Height of the bag: 18-6
12 inches.
Answer: 16, 6 and 12 inches.
I need help on this right now please help ASAP!!!
Answers
Answer:
C would be your answer
Step-by-step explanation:
There are three pieces of mail in Ms. Thomas's mailbox a bill from the phone company for $36.12, a bill from the
electric company for $67.35, and a tax refund check for $25.09. (A bill is money that you owe, and a tax refund
check is money that you receive
Answers
Answer:
What is the rest of the question?
Step-by-step explanation:
A doggy daycare takes care of 25 dogs on Friday. But on Saturday 3 more dogs join the group. What percent increase was that?
Answers
Answer:
12%
Step-by-step explanation:
do 3 divided by 25 and you will get the percentage.
3/25 = 0.12 move the decimal over 2 plaves and boom you got it
three shirts cost $9.99. how much does it cost for 8 shirts
Answers
Answer:
26.64$
Step-by-step explanation:
cost of three shirts = $9.99
cost of one shirt = 9.99/3 =$ 3.33
cost of eight shirts = 3.33×8 =$ 26.64