the probability of randomly selecting a four-person committee consisting entirely of canadians from a pool of 11 americans and 18 canadian
Answer:
[tex]Probability =0.1744[/tex]
Step-by-step explanation:
Given
Total
[tex]American = 11[/tex]
[tex]Canadian = 18[/tex]
Selection
[tex]American = 0[/tex]
[tex]Canadian = 4[/tex]
Required
Determine the probability of selecting a 4 committee member that are Canadian.
First, we calculate total possible selection.
[tex]Total = American + Canadian[/tex]
[tex]Total = 11 + 18[/tex]
[tex]Total = 27[/tex]
Number of ways to select 4 from 27 is:
[tex]^{27}C_4 = \frac{27!}{(27-4)!4!}[/tex]
[tex]^{27}C_4 = \frac{27!}{23!4!}[/tex]
[tex]^{27}C_4 = \frac{27*26*25*24*23!}{23!4!}[/tex]
[tex]^{27}C_4 = \frac{27*26*25*24}{4!}[/tex]
[tex]^{27}C_4 = \frac{27*26*25*24}{4*3*2*1}[/tex]
[tex]^{27}C_4 = \frac{421200}{24}[/tex]
[tex]^{27}C_4 = 17550[/tex]
Next, we calculate ways of selecting 4 Canadians from 18 is:
[tex]^{18}C_4 = \frac{18!}{(18-4)!4!}[/tex]
[tex]^{18}C_4 = \frac{18!}{14!4!}[/tex]
[tex]^{18}C_4 = \frac{18*17*16*15*14!}{14!4!}[/tex]
[tex]^{18}C_4 = \frac{18*17*16*15}{4!}[/tex]
[tex]^{18}C_4 = \frac{18*17*16*15}{4*3*2*1}[/tex]
[tex]^{18}C_4 = \frac{73440}{24}[/tex]
[tex]^{18}C_4 = 3060[/tex]
The required probability is:
[tex]Probability =\frac{3060}{17550}[/tex]
[tex]Probability =0.1744[/tex]
cost for 1 kg sugar is 42 dollars how much is 380 grams worth
Answer:
9.047619047619048
Step-by-step explanation:
can you help me with something
Answer:
139,488 miles
Step-by-step explanation:
5182×24 = 139,488
Answer:
its the first one
Step-by-step explanation:
5812 x 24 i just looked that up and got the anwser
Write an expression to show "5 less than y, plus g."
Answer:
(y-5)+g
Step-by-step explanation:
Answer:
y-5+g
Step-by-step explanation:
hope this helps
In which number is the value of the seven equal
to (7x1/
1,000)?
A 36.074
B 7,256.05
C 64.387
D 769.21
Answer:
It would be C, 64.387
Step-by-step explanation:
First, you have to solve 7x1/1000. This equal to 7/1000 which should be converted into decimal form (since all the answers are in decimal form). 7/1000 is 0.007 in decimal form.
It is 0.007 since in 7/1000, the denominator is 1000, making 7 in the thousandths place (the 3rd digit to the right of the decimal point).
The only number that contains 0.007 is the 3rd one, making it your answer.
timed test
Which number has a 3 that is 10 times greater than the 3 in 513? (2 points) 5,130 51.3 5.13 51,300
Answer:
The correct answer should be 5,130
Step-by-step explanation:
the 3 in 513 is in the ones place, if it were ten times greater than 3 that would be 30, or a 3 in the tens place, the 3 in the number 5,130 is in the tens place, making that the correct choice
Find an ordered pair ( x , y ) that is a solution to the equation. -x + 3y = 2
Answer:
(-2,0)
(4,2)
etc..
Just substitution required!
Which inequality is graphed on the coordinate plane?
Answer:
Step-by-step explanation:
itd B
If Oscar the ostrich travels 105 miles in 3 hours on land, how fast does he travel?
What is the GCF of 17 and 8?
Answer: the answer is 1
Step-by-step explanation:
Answer: The GCF of 17 and 8 is 1
Launch Problem
A group of friends is making goody bags for a birthday party. They have 12 pencils, 6 erasers, and 18 stickers.
(a) What is the greatest number of identical goody bags they can make using all of the pencils, erasers, and stickers?
(b) How many pencils, erasers, and stickers would each bag have?
Answer:
A) 6
B) 2 Pencils,1 Eraser,3 Stickers.
Step-by-step explanation:
Hope this helps!
Consider the following incomplete mapping diagrams.
Diagram A
Diagram B
Diagram C
000000
Part A: Complete Diagram A so that it is a function.
Part B: Is it possible to complete Diagram B so that it is NOT a function of
so, complete the diagram to show a relation, but not a function. If
not, justify your reasoning.
Part C: Is it possible to complete the mapping diagram for Diagram C so
it represents a function? If so, complete the diagram to show a
function. If not, justify your reasoning.
Answer:
Answer attached
Step-by-step explanation:
What is 66 2/3 % of 900 ?
Answer:
The answer is 600
pls help, it would mean the most!!!
Answer:
c. it show it to be portioned
PLEASE HELP ME I NEED HELP PLEASE HELP
PLEASE GIVE THE ANSWER UNDER THE QUESTION AND RATIO
Answer:
6. 225 feet in 3 minutes = 75 feet in 1 minute (slower)
360 feet in 5 minutes = 72 feet in 1 minute
7. $4 for 5 ounces = $0.80 for 1 ounce (most expensive)
$14 for 20 ounces = $0.70 for 1 ounce
8. 72 people in 6 hours = 12 people in 1 hour
117 people in 9 hours = 13 people in 1 hour (greater rate per hour)
Answer:
A = 369 feet in 5 minutes B = $4 for 5 ounces C = 117 people in 9 hours
5.) Which is the best description of the table
below?
A. Linear because there is a constant rate of change
B. Linear because the X values increase by 1 each time
C. Nonlinear because there is not a constant rate of change
D. Nonlinear because the X values are positive while the Y values are negative
Answer:
I'm not quite sure but I tink its A
Game Stop is selling a video game for 15% off $35.
Answer:
School related questions please
Step-by-step explanation:
And thanks for telling me
I need answers for all the questions read the directions
Mrs. Jones purchased 6.2 pounds of ground beef. She cooked 0.5 of the ground beef. How many pounds of ground beef did she cook?
Answer:
She cooked 3.1 pounds
Step-by-step explanation:
6.2 x 0.5 = 3.1
7.5 divided by 46.75
Answer:
1
Step-by-step explanation:
in the figure, AC=20cm CD=22cm and AE=16cm find the length of BD.
Answer:
17.6 cm
Step-by-step explanation:
Area of triangle equals to half of the base times height, i.e. A = 1/2 × b × h.
1/2 x 22 x 16 = 1/2 x 20 x BD
BD = (1/2 x 22 x 16) / (1/2 x 20)
BD = 17.6 cm
Solve.
X = -7
4x - 4y = 12
(x,y)
Answer:
(-7, -10)
[tex]x=-7\\y=-10[/tex]
Step-by-step explanation:
[tex]4x-4y=12[/tex]
Substitute x for -7.
[tex]4(-7)-4y=12[/tex]
Multiply 4 by -7.
[tex]-28-4y=12[/tex]
Add 28 on both sides.
[tex]-4y=40[/tex]
Divide -4 on both sides.
[tex]y=-10[/tex]
Solve for x.
-1+4x5= 3
Answer:
[tex]x = 0.2 \: or \: \frac{1}{5} [/tex]
Step-by-step explanation:
[tex] - 1 + 4x.5 = 3[/tex]
[tex] = > 20x - 1 = 3[/tex]
[tex] = > 20x = 3 + 1 = 4[/tex]
[tex] = > x = \frac{4}{20} = \frac{1}{5} = 0.2[/tex]
In a football game, a team loses 8 yards, then loses 3 yards, then loses 11 yards.
What is overall change in the number of yards?
Answer:
the lost 22 yards altogether
they now have -22 yards i believe
Answer:
i think -22 might be the answer
Step-by-step explanation:
Which number(s) below belong to the solution set of the equation? Check all that apply.
x + 10 = 40
A. 40
B. 80
C. 400
D. 4
E. 30
F. 50
Answer:
E only
Step-by-step explanation:
After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year and an increase of 8% per year, the population is 34,560. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.)
y = 32,000(1.08)x
y = 32,000(0.08)x
y = 34,560(1.08)x
y = 34,560(0.08)x
Answer:
I THINK UTS A y = 32,000(1.08)x
Step-by-step explanation:
Answer:
TS A y = 32,000(1.08)x
Step-by-step explanation:
Simplify the following expression: 17 + 4w - 12 - w
Answer:
3w+5
Step-by-step explanation:
17+4w -12-w
I hope this help.Also if you have anymore problems with simplifying just visit this app : h t t p s : / / w w w . m a t h w a y . c o m / A l g e b r a
Using a scale where 3 inches = 5 feet. If a room measures 20 feet (Width) by 22.5 feet (length), what are the dimensions of the room in inches?
A 12 inches (width) by 13 inches (length)
B 12.5 inches (width) by 13 inches (length)
C 12 inches (width) by 13.5 inches (length)
D 12.5 Inches (width) by 13.5 inches (length)
Answer:
wnna call me and lift the lorax
Step-by-step explanation:
Answer:
12 inches by 13.5 inches
Step-by-step explanation:
3 inches= 5 feet
0.6 inch = 1 feet
20 feet=12 inches
22.5 feet=13.5 inches
please give me brainiest!!<3
A ball is launched upward from the ground with an initial velocity of 20 ft/s. The height of the ball at time t is represented by the function h(t) h(t) = -1612 + 20t, where t is measured in seconds and h(t) is measured in feet Drag the values to the lines to complete each sentence. The ball reaches its maximum height when t is seconds. The maximum height of the ball is feet. The balls hits the ground when tis seconds.
Answer:
its 5 seconds
Step-by-step explanation:
hope it helps not like that other guy
A collector bought a rare coin for $30. The coin is now valued at $37.50. What is the percent increase in value?