Aski patrol unit has seven members available for duty, and two of them are to be sent to rescue an injured
skier. In how many ways can two of these seven members be selected?
Now suppose the order of selection is important. How many arrangements are possible in this case?
Answer:
36 non repeating, 72 repeating (AB=BA)
Step-by-step explanation:
There is a theoretical approach to solving this question. We have formulae for such types of question in ‘Permutation and Combination’ chapter but let me solve it through my approach.
There are 9 members in the unit.
we have to choose only 2 people out of them randomly.
let the members be A, B, C, D, E, F, G, H an, I
A can be chosen first with one of the rest as the second person.
Like AB, AC, AD, AE … AI ………………………(1)
by this, we can choose people in 8 ways.
we will also have 8 ways as BA, CA, DA, … IA ………..(2)
the series (2) is completely reverse of series (1)
now perform the same action taking B as first-person and people after B as the second person.
by this, we will have 7 ways
and 7 ways again in reverse mode.
The same process with C, D, E and other members
we get
8*2 = 16 ways with A
7*2 = 14 ways with B
6*2 = 12 ways with C
5*2 = 10 ways with D
4*2 = 8 ways with E
3*2 = 6 ways with F
2*2 = 4 ways with G
1*2 = 2 ways with H
and I can not be selected lonely because there is no person after I.
SO total ways = 16 + 14 +12 + 10 + 8 + 6 + 4 + 2 = 72 ways
72 will be the answer if the selection of A first and B second is different from the selection of B first and A second.
If AB = BA then the answer will be 72/2 = 36
(It is my approach and easier way for me than the traditional formulae)
Can you help me solve this please :/
Answer:
2√3
Step-by-step explanation:
In a special right triangle called the 30-60-90 triangle, the ratios of the side lengths are x-x√3- 2x respectively. This means that the side opposite to the 60 degrees is x√3 and the side opposite to the 30 degrees is x.
Since the side opposite to the 60 degrees is 6, x√3=6
x√3=6
x=6/√3
rationalize the denominator:
6√3/3
simlify
2√3
so the answer is the third one. 2√3
What is x?
33x+2=68
Give brainliest
Answer:
2
Step-by-step explanation:
subtract 68 by 2, then divide by 33
Suppose you are planning on picking up a friend or family member at the airport. You want to park and walk in to meet them in the terminal. The Orlando International Airport has two options listed on their website:
Option 1: Park at either the North or South Park Place Economy Lot
Grace period (free) for the first 10 minutes
$5 for 11 minutes to 3 hours, then
$10 per 24-hour period
Free shuttle to the terminal
Option 2: Park at any of the parking garages
Grace period (free) for the first 20 minutes
$2 for 21 to 30 minutes, then
$1 for each additional 15 minutes (or any part thereof from the time of entry) up to a maximum of $17, then $17 per 24-hour period
How should someone make a decision about where to park to pick up their friend/family member? When is each option the most cost-effective?
Answer:
A) To make a decision on where to park depends on
Time to spent on parking cost of parking within the time to be spent on parkingIncentivesB) Option 1 is most cost effective when the parking time is ≥ 3hours
while Option 2 is most cost effective when the parking time is ≤ 30 minute
Step-by-step explanation:
A) To make a decision on where to park depends on
Time to spent on parking cost of parking within the time to be spent on parkingIncentivesB)
lets assume you will be parked for 30 minutes before picking up your friend
For option 1
You will spend $5 and also get a free shuttle to the terminal
For option 2
You will spend $2
Therefore Option 2 is better
Lets assume you will be parked for 3 hours before pick up
For option 1
You will spend $5 and also get a free shuttle
For option 2
You will spend ; $2 for the first 30 minutes + $10 for the remaining 2hours 30 minutes
Therefore Option 1 is better.
Option 1 is most cost effective when the parking time is ≥ 3hours
while Option 2 is most cost effective when the parking time is ≤ 30 minutes
Whoever gets it right gets marked brainliest!!
For her phone service, Maria pays a monthly fee of $19, and she pays an additional $0.05 per minute of use. The least she has been charged in a month is $72.35. What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes, and solve your inequality for "m".
Answer:
m=1067
Step-by-step explanation:
19 +.05m = 72.35
72.35-19 = 53.35
53.35/.05= 1067
m=1067
please help me i have no clue what to put!!!
Answer:
c
Step-by-step explanation:
Its C the answer is c
3m² – 17m + 10 factoring polynomials
UNDERSTAND
There are eight cups of ice cream in a large container of Berry
Blast ice cream. Each scoop of ice cream is 1/2 of a cup. How
many scoops of ice cream are in an entire container of Berry Blast
ice cream?
A boat leaves the entrance to a harbor and travels 150 miles on a bearing of N 59° E. How many miles north and how many miles east from the
harbor has the boat traveled?
Ambulance driver was shot in the eye during Highway robbery pass on. Develop a risk management plan for this news item
Answer:
Don't put it on the news because it's a high risk personnel?
the height in feet of a shirt launched from a t shirt cannon high in the stands at a football stadium is given by h(x) =-16x^2 + 64x + 80 where x is the time in seconds after the t shirt is launched. A.)At what height is the t shirt launched?
B.) what will be the height after 3 seconds?
Answer:
x=2sec
H=144m
Step-by-step explanation:
Write an equation in point-slope form for the given point and slope:
Point: (4, -6)
Slope: 2
Please show me how to do this, thanks.
Answer:
y=2x-14
Step-by-step explanation:
y=mx+b(m is slope)
we know
y=2x+b
so if you plug in the values for the points you get
-6=4(2)+b
-6=8+b
b=-14
so then the complete equation would be
y=2x-14
What is this ratio 140:420 in its simplest form
Answer:
1:3
Step-by-step explanation:
70:210
7:21
1:3
Cineva va rog!
[tex]( - 4 + 9) \times (1 - 8)[/tex]
Clasa 6
Step-by-step explanation:
[tex]( - 4 + 9) \times (1 - 8) \\ = 5 \times ( - 7) \\ = - 35[/tex]
hope it helps:)
Equation R: y = -2x + 10
Equation S: y = 3x - 20
What is the solution ( , )
Step-by-step explanation:
3x -20= -2x +10
or,5x=30
or,X=30/5
or,X=6
Y= -2×6 + 10
= -2
therefore solution is (6, -2)
I will mark u brainlist I will mark u brainlist I will mark u brainlist I will mark u brainlist I will mark u brainlist I will mark u brainlist I will mark u brainlist I will mark u brainlist I will mark u brainlist
Answer:
i belive the answer is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
mark me brainlist plz :)
ratio of 7 to 3 in fraction
Answer:
The answer is 2 and 1/3
Ratio: 7 : 3
Fraction: 2⅓
Jimmy and Kima are going on a trip. They will drive for three days. The first day they will drive 182 miles. The second day they will drive 439 miles. The third day they will drive 217 miles.
Which expression is the closest estimate of how many miles Jimmy and Kima will drive on their trip?
options.
150 + 400 + 200
200 + 400 + 200
200 + 450 + 200
200 + 500 + 200
Answer:
200 + 400 + 200
This is because you always round up past 50 and down under 50 so.
182->200
439->400
217->200
solve the system of equations by graphing. y=-3/2x and y =-1/2x-2
the rate of change for the function f(t)=2.6t+17.8 can be used to estimate the yearly sales of cotton goods; in billikns of dollars, as a function of time; in years, measured from 1975
Answer:
roses are red violets are blue I don't know the answer but ily
Find the x- and y-intercepts of the graph of 7x - 5y = 25. State your answers as
whole numbers or as improper fractions in simplest form.
x-intercept:
y-intercept:
Submit Answer
what would be the answer to this?
Answer:
27 + 5[tex]\sqrt{2}[/tex] + ( -3[tex]\sqrt{10}[/tex] + 9[tex]\sqrt{5}[/tex] ) i
This 'i' is iota.
Hope this helps you. Do mark me brainlist
cuantos minutos hay de diferencia entre 4.8 h y 5 h
Answer:
4.1 horas 246 min
4.7 horas 282 min
4.8 horas 288 min
4.9 horas 294 min
5 horas 300 min
Step-by-step explanation:
Linda Rove is paid $6.39 for each table she assembles. Last week she assembled the following number of tables. What was Rove’s pay for the week?
Answer:
6.39 x # of tables assembled
Step-by-step explanation:
Well you didn't tell us the number of tables she assembled that week, but the equation would be 6.39 x the # of tables she assembled.
Translate this phrase into an algebraic expression.
One more than the product of 12 and Jenny's score.
Answer:
x = 12y + 1
y = Jenny's score
The line passes through (6,6) and (-2,2)
Step-by-step explanation:
y-y1=m(x-x1)
m=y2-y1/x2-x1
What is the value of this expression?
1/6 ÷ 12
Answer:
0.01388888888
Step-by-step explanation:
Answer:
[tex] \frac{1}{72} [/tex]
Step-by-step explanation:
[tex] \frac{1}{6} \div 12[/tex]
[tex] = \frac{1}{6} \times \frac{1}{12} [/tex]
[tex] = \frac{1}{72} [/tex]
Hence required answer is 1/72
Also in decimal conversion it will be 0.0138888889
W varies directly as r cubed and inversely as s. If w=24 when r= 4 and s= 8, find out when w= 81 and s= 27?
Translating the word problem into a symbolic statement: W = kr³/s. Find k by letting W = 24, r = 4 and s = 8:
k·4³
24 = --------
8
This reduces to 3 = 4^3*k, or 3 = 64k, or k = 3/64 (the constant of proportionality).
3r^3
w = ---------
64
W varies directly as r cubed and inversely as s. If w=24 when r= 4 and s= 8, find out when w= 81 and s= 27
Answer:
a) Given that w=81 and k = 0.375 then r = 6
b) Given that s=27 and k = 224 then w=32
Step-by-step explanation:
Step(i):-
Given that W varies directly as r³
⇒ w∝r³
⇒ w = kr³
where 'k' is proportionally constant
given that w= 24 and r =4
⇒ 24 = k (4)³
⇒ k = [tex]\frac{24}{64}[/tex]
⇒ k = 0.375
Step(ii):-
Given that W varies indirectly as 's'
w ∝[tex]\frac{1}{s}[/tex]
W =k [tex]\frac{1}{s}[/tex]
where 'k' is proportionally constant
28 = k ([tex]\frac{1}{8}[/tex])
k = 28 × 8 = 224
Step(iii):-
a) Given that w=81 and k = 0.375
w = kr³
81 = 0.375 (r)³
r³ = 216
r = ∛216 =6
r =6
b)
Given that s=27 and k = 224
W =k [tex]\frac{1}{s}[/tex]
w = 224 ([tex]\frac{1}{27}[/tex])
w = 32
For every 5 campers who voted for hot dogs, there were 4 who voted for Spaghetti. If there were 72 campers in all, how many voted for hot dogs?
Answer:
Step-by-step explanation:
5+4 = 9
72/9 = 8
8×5 = 40 voted for hot dogs.
The number of campers who voted for hotdogs is 40 campers
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of campers who voted for hot dogs = 5 campers
Let the number of campers who voted for sphagetti = 4 campers
Now , the total campers = 5 + 4
= 9 campers
5 out of 9 campers vote for hot dogs
So ,
The total number of campers = 72 campers
The equation will be ,
The total number of campers who voted for hotdogs =
( number of campers who voted for hot dogs / the total campers ) x 72
The total number of campers who voted for hotdogs = ( 5 / 9 ) x 72
= 5 x 8
The total number of campers who voted for hotdogs = 40 campers
Hence , The number of campers who voted for hotdogs is 40 campers
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