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
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6. Peter is standing next to a flagpole and wants to
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Step-by-step explanation:
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which one of the following is a factor of a²+bc+ab+ac?
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a (a+b) + c (b + a)
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Which of the fractions are in ascending order below (from smallest to largest) *
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For rectangle ABCD, find m∠ADB.
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Answer:
we know all angles are 90° in the rectangle
therefore, angle d = bdc+bda = 90
=> 31+bda = 90
=>angle bda= 59
The measurement of the angle ADB should be considered as the 59 degrees.
Calculation of the measurement of the angle ADB:Since we know that all angles in the rectangle should be of 90 degrees
So,
Here angle d = bdc + bda
= 90
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Patrick can make 185 tacos in 2 hours. How many tacos can he make in one hour?
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The radius of a truck tire is 11 inches. Approximately how far will the truck have traveled after 3 rotations of these tires? Use 3.14 for . Round to the nearest tenth.
Answers
Answer:
207.2in
Step-by-step explanation:
Hey There!
So to solve this problem we need to find the circumference of the circle and multiply that by 3 because that is how many rotations the tire would have made
C=2πr
where r = radius
Now we plug in the values
C=2(3.14)11
3.14*2=6.28
6.28*11=69.08
So one full rotation would have traveled 69.08 inches
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7. Calculate the unit cost.
a) $1.85 for 4 kg of peaches
b) $16.99 for a 454 g package of cooked
shrimp
c) $2.99 for a 1.89 L bottle of juice
d) $283.28 for 22.5 m2 of flooring tiles
Answers
Answer:
Step-by-step explanation:
It cost $0.46 for 1 kg of peaches $.46/kg
It cost $12.6 for 1 m² of flooring tiles $12.6/1 m² of flooring tiles
It cost $1.6 for 1 L bottle of juice $1.6/L
dont know shrimp
The unit costs are:
(a) $1.85 for 4 kg peaches= $0.4625 per Kg
(b) $16.99 for a 454 g package cooked shrimp= $37.423 per Kg
(c) $2.99 for a 1.89 L bottle juice= $1.58 per L
(d) $283.28 for 22.5 m2 flooring tiles= $12.6 per m²
How to calculate unit value?In order to find the unit value of a quantity then divide the total cost by the quantity to get the unit price.
Unit price = total cost/ total number of quantity
here given
(a) $1.85 for 4 kg peaches
unit cost = total cost/ total number of quantity
= $1.85/4 Kg
=$0.4625 per Kg
(b) $16.99 for a 454 g package cooked shrimp
unit cost = total cost/ total number of quantity
= $16.99/454g
=$0.037 per gram
=$37.423 per Kg
(c) $2.99 for a 1.89 L bottle juice
unit cost = total cost/ total number of quantity
= $2.99/1.89L
=$1.58 per L
(d) $283.28 for 22.5 m2 flooring tiles
unit cost = total cost/ total number of quantity
=$283.28/22.5m²
=$12.6 per m²
Therefore the final unit costs are:
(a) $1.85 for 4 kg peaches= $0.4625 per Kg
(b) $16.99 for a 454 g package cooked shrimp= $37.423 per Kg
(c) $2.99 for a 1.89 L bottle juice= $1.58 per L
(d) $283.28 for 22.5 m2 flooring tiles= $12.6 per m²
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
A = 20 + 2p
Step-by-step explanation:
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Answer:
Population
Population estimates, July 1, 2019, (V2019) 6,829,174
Population estimates base, April 1, 2010, (V2019) 6,346,276
Population, percent change - April 1, 2010 (estimates base) to July 1, 2019, (V2019) 7.6%
Population, Census, April 1, 2010 6,346,105
Age and Sex
Persons under 5 years, percent 6.0%
Persons under 18 years, percent 22.1%
Persons 65 years and over, percent 16.7%
Female persons, percent 51.2%
Race and Hispanic Origin
White alone, percent 78.4%
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American Indian and Alaska Native alone, percent(a) 0.5%
Asian alone, percent(a) 2.0%
Native Hawaiian and Other Pacific Islander alone, percent(a) 0.1%
Two or More Races, percent 2.0%
Hispanic or Latino, percent(b) 5.7%
White alone, not Hispanic or Latino, percent 73.5%
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Veterans, 2015-2019 431,274
Foreign born persons, percent, 2015-2019 5.1%
Housing
Housing units, July 1, 2019, (V2019) 3,028,213
Owner-occupied housing unit rate, 2015-2019 66.3%
Median value of owner-occupied housing units, 2015-2019 $167,200
Median selected monthly owner costs -with a mortgage, 2015-2019 $1,244
Median selected monthly owner costs -without a mortgage, 2015-2019 $388
Median gross rent, 2015-2019 $869
Building permits, 2019 41,361
Families & Living Arrangements
Households, 2015-2019 2,597,292
Persons per household, 2015-2019 2.52
Living in same house 1 year ago, percent of persons age 1 year+, 2015-2019 85.5%
Language other than English spoken at home, percent of persons age 5 years+, 2015-2019 7.2%
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Households with a computer, percent, 2015-2019 87.1%
Households with a broadband Internet subscription, percent, 2015-2019 78.4%
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High school graduate or higher, percent of persons age 25 years+, 2015-2019 87.5%
Bachelor's degree or higher, percent of persons age 25 years+, 2015-2019 27.3%
Health
With a disability, under age 65 years, percent, 2015-2019 11.0%
Persons without health insurance, under age 65 years, percent 12.1%
Economy
In civilian labor force, total, percent of population age 16 years+, 2015-2019 61.0%
In civilian labor force, female, percent of population age 16 years+, 2015-2019 56.6%
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Total health care and social assistance receipts/revenue, 2012 ($1,000)(c) 42,383,683
Total manufacturers shipments, 2012 ($1,000)(c) 139,960,482
Total merchant wholesaler sales, 2012 ($1,000)(c) 111,718,421
Total retail sales, 2012 ($1,000)(c) 91,641,605
Total retail sales per capita, 2012(c) $14,194
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Mean travel time to work (minutes), workers age 16 years+, 2015-2019 25.2
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Median household income (in 2019 dollars), 2015-2019 $53,320
Per capita income in past 12 months (in 2019 dollars), 2015-2019 $29,859
Persons in poverty, percent 13.9%
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Businesses
Total employer establishments, 2018 138,269
Total employment, 2018 2,683,214
Total annual payroll, 2018 ($1,000) 125,736,019
Total employment, percent change, 2017-2018 1.3%
Total nonemployer establishments, 2018 539,987
All firms, 2012 550,453
Men-owned firms, 2012 302,249
Women-owned firms, 2012 195,694
Minority-owned firms, 2012 105,234
Nonminority-owned firms, 2012 434,025
Veteran-owned firms, 2012 59,379
Nonveteran-owned firms, 2012 469,392
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Geography
Population per square mile, 2010 153.9
Land area in square miles, 2010 41,234.90
FIPS Code
Step-by-step explanation:
A. [-2,3]
B. [-4,5]
C. [1,3]
D. [-5,0]
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Answers
Does this triangle have a hypotenuse about 39 feet long
Answers
Answer:
hypotenuse is about 33 ft long
Step-by-step explanation:
a^2+b^2=c^2
a= 30
b=14
30^2+14^2= 1096 =c^2
[tex]\sqrt{1096}[/tex]=c
33.1=c
hypotenuse is about 33 ft long
Answer:
No, the Hypotenuse is 33.11
Step-by-step explanation:
The formula for finding a hypotenuse is:
[tex]\sqrt{x^2+y^2}[/tex]
x=30 and y=14 here
[tex]x^2=900[/tex]
[tex]y^2=196[/tex]
[tex]x^2+y^2= 1,096[/tex]
[tex]\sqrt{1,096} = 33.11[/tex]
So it would be about 33, not 39
Find two integers whose sum is -14 and product is 33
Answers
Answer:
Step-by-step explanation:
a+b=-14
a=-14-b
ab=33, using a from above makes this become
(-14-b)b=33
-14b-b^2=33
b^2+14b+33=0
(b+11)(b+3)=0
So the numbers are -3 and -11
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
State if the triangles in each pair are similar. If so, complete the similarity statement.
Answers
Answer:
B
Step-by-step explanation:
Set up a proportion and see if it is true:
[tex]\frac{12}{8} =\frac{27}{18} \\\frac{3}{2} =\frac{3}{2}[/tex]
True, so they are similar.
The similarity statement would be QRS ~ QED
So B is the answer