Answer:
Please refer to the attachment
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)
Madison read 1/2 of a book in the morning, and she read some more at night. By the end of the day she still had 2/5 of the book left to read. How much of the book did Madison read at night?
Answer: 1/10
Step-by-step explanation:
At the end of the day, she still had 2/5 of the book to read. Which meant that she had read 3/5 of the book. Since she read 1/2 of the book in the day, we would read 3/5 - 1/2 = 6/10 - 5/10 = 1/10 of the book at night.
que significa la h en 0.5
Answer:
the variable for it
Step-by-step explanation:
Answer:
H es una variable. ¡Marque como más inteligente! <3
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
What is this ratio 140:420 in its simplest form
Answer:
1:3
Step-by-step explanation:
70:210
7:21
1:3
ratio of 7 to 3 in fraction
Answer:
The answer is 2 and 1/3
Ratio: 7 : 3
Fraction: 2⅓
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
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
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:
Help me pls pls pls
Answer:
Step-by-step explanation:
A "greater than or equal to" sign means that your line will have a closed, or filled in circle. Knowing this, we can eliminate all of the open circle options.
If our numbers are negative, a number "greater than" a negative would be closer to or positive. I would choose the filled in circle pointing towards the right, given this information.
And for solving the inequality:
-3x (greater than or equal to) -18
/-3 /-3
x (less than or equal to 6)
PLEASE ANSWER THIS!!!
Answer:
x=14 x 7=98
Step-by-step explanation:
Answer:
the answer is X=98
Step-by-step explanation:
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:
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?
PLSS HELP
-21-9
———-
-5
Answer:
6
reduce the expression and if possible do that by cancelling the common factors :)
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
Median of 8,13,17,17,18,22,26,28,33
Answer:
Median is 18, because 18 is the middle number.
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
I hope this helps and have a great day!
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:)
7 ft x 15ft x 17 ft
What kind of triangle
Answer:
It's a scalene triangle
Step-by-step explanation:
[tex]2x2 - 54 + 59[/tex]
Answer:
9
Step-by-step explanation:
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
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
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 :)
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
HELP ME QUIXK WHATS 3(x-1)
Step-by-step explanation:
So you use the distributive property
3*x and 3*-1
You get 3x and -3
so therefore 3x-3
Answer:
3x - 3
Step-by-step explanation:
3(x - 1)
Multiply the 3 to both the variable and the number in the parentheses.
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
solve the system of equations by graphing. y=-3/2x and y =-1/2x-2
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
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
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 polynomial x^2 - 30x + 225 represents the area (in square feet) of a square courtyard.
Part 1: Factor the expression and write a polynomial that represents the side length of the courtyard.
Part II: Use the answer from Part I to write an expression for the perimeter of the courtyard.
Answer:
Step-by-step explanation:
[tex]x^2-30x+225\\ \\ (x-15)^2, $ so the length of a side is 15ft. $ \\ \\ P=4x=4(15)=60, $so the perimeter is 60ft. $ [/tex]
Answer:
Given polynomial:
x² - 30x + 225Part Ix² - 30x + 225 = x² - 2*15*x + 15² = (x - 15)²Side length is
(x - 15) ftPart IIPerimeter of the square:
P = 4(x - 15) = (4x - 60) ft