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Leya [2.2K]
2 years ago
12

There are 8 runners in a race. What is the probability that Abby, Becca, and Carmen place first, second, and third in any order?

Mathematics
2 answers:
shutvik [7]2 years ago
8 0
Well there are equally 8 runners in the race , and abby and becca and carmen are three of them . now the chances of them getting first , second , and third would be 3 out of 8 or 3 over 8 .
Mkey [24]2 years ago
3 0
|\Omega|=8!\\
|A|=3!\cdot5!\\\\
P(A)=\dfrac{3!5!}{8!}=\dfrac{2\cdot3}{6\cdot7\cdot8}=\dfrac{1}{56}\approx1,8\%
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Amanda [17]
If you want to find out how much he drank in total, its simple. Just add 0.75 and 0.8

  ¹0.75 Liters
+ 0.8   Liters
---------
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(make sure to add the units AKA: liters)

Therefore, 
Patrick drank 1.55 Liters of water in total. 

Hope this helps and have a great day :) 

5 0
2 years ago
The number f of miles a helicopter is from its destination x minutes after takeoff is given by f (x)=40-2x. The number f of mile
nevsk [136]

Answer:

Step-by-step explanation:

Function 'f' represents the number of miles (y-values) covered by the helicopter in 'x' (x-values) minutes.

f(x) = 40 - 2x

For x = 0,

f(x) = 40 miles

For f(x) = 0,

0 = 40 - 2x

x = 20 minutes

This shows that helicopter traveled 40 miles in 20 minutes.

Similarly, given graph shows distance covered by the jet on y-axis and duration of flight on x-axis.

For x = 0,

f(x) = 500 miles

For f(x) = 0,

x = 100 minutes

Commercial jet traveled 500 miles in 100 minutes.

7 0
2 years ago
A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sa
sergeinik [125]
X - the number of sandwiches ordered
y - the number of soups ordered

There were 18 people, and each person ordered either one soup or one sandwich.
x+y=18

The sandwiches cost $7.75 each, the soups cost $4.50 each. The total cost was $113.50.
7.75x+4.5y=113.5

Set up a system of equations:
x+y=18 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\times (-4.5) \\
7.75x+4.5y=113.5 \\ \\
-4.5x-4.5y=-81 \\
\underline{7.75x+4.5y=113.5} \\
3.25x=32.5 \\
x=\frac{32.5}{3.25} \\
x=10

10 sandwiches were ordered.
The answer is D.
4 0
2 years ago
Justin recently started working for a company that pays him $11.40 per hour. He is expected to work a total of 251 days for 8 ho
Serhud [2]

Answer:

22,891.20

Step-by-step explanation:

I took this quiz and got it right.

6 0
2 years ago
Read 2 more answers
The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. S
lana [24]

Answer:

Part A) h=V/(\pi r^{2})

Part B) h=4\ cm

Step-by-step explanation:

Part A)

we have the formula of the volume of a cylinder

V=\pi r^{2}h

Solve for h

That means ----> isolate the variable h

Divide both side by πr²

V/(\pi r^{2})=\pi r^{2}h/(\pi r^{2})

Simplify

V/(\pi r^{2})=h

Rewrite

h=V/(\pi r^{2})

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we have

V=36\pi\ cm^3

r=3\ cm

substitute in the formula and solve for h

h=36\pi/(\pi 3^{2})

h=4\ cm

8 0
2 years ago
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