Determine whether the following individual events are independent or dependent. Then find the probability of the combined event. Randomly selecting a four-person committee consisting entirely of Canadians from a pool of 16 Americans and 13 Canadians.
Answer:
Here we have four individual events.
First selection, second selection, third selection and fourth selection.
Where initially, the options are 16 Americans and 13 Canadians.
Now, to see if the events are dependent or independent.
Suppose that in the first selection, an American is selected.
Then the second selection has 15 Americans and 13 Canadians as options.
Now, if in the first selection, a Canadian is selected.
Then in the second selection, the options will be 16 Americans and 12 Canadians.
Then the events are not independent.
Now we want to find the probability of randomly selecting a four-person committee consisting entirely of Canadians from a pool of 16 Americans and 13 Canadians
The probability of randomly selecting a Canadian is equal to the quotient between the number of Canadians, and the total number of postulants.
For the first selection, we have 13 Canadians, and 29 people in total, then the probability is:
P1 = 13/29.
Suppose that a Canadian is selected, now there are 12 Canadians and 28 people in total, then the probability for the second selection is:
P2 = 12/28
with the same reasoning as above, the probabilities for the third and fourth selections will be:
P3 = 11/27
P4 = 10/26.
The joint probability will be equal to the product of the individual probabilities, this is:
P = P1*P2*P3*P4 = (13/29)*(12/28)*(11/27)*(10/26) = 0.03
It takes Camden 45 minutes to complete 1/5 of his art project. How many hours will it take him to complete the whole project if he works at the same rate? Enter the correct answer in the box.
Answer:
3.75
Step-by-step explanation:
Does anyone know how to do this? Thanks!
C. 5
Step-by-step explanation:
The coeff of
[tex] {x}^{5} [/tex]
Is 15.
So by that we can write 3m = 15
m is 5.
help needed due today
Answer:
1 1/4 inches deeper
Step-by-step explanation:
At Mr. McNeely's farm, there were 75 sheep and 60 cows. What is the ratio of the number of cows to the number of sheep at Mr. McNeely's farm?
Answer:
4 to 5 also,written as 4:5
Step-by-step explanation:
60 cows to 75 sheep
60:75
divide both by 15 to get lowest form
60/15 = 4
75/15 = 5
What is the mother land
A-Mother russia
B-Morther amica
C-mother shrek
Answer:
A
Step-by-step explanation:
Mother Russia is the mother land
find slope please help I’ll mark brainliest
about how many 10s are there in 189?
Answer:
About 18 or 19
Step-by-step explanation:
189 divided by 10 is 18.9 or roughly 19.
Answer: 18
Step-by-step explanation: 10,20,30,40,50,60,70,80,90,100,110,120,130,140,150,160,170,180
The ratio of boys to girls in Mr. Baker’s social studies class is 5 to 6. If there are 33 total students in the class, how many more girls are in the class than boys?
Answer:
Jesus are you 2 years old the answer is 3.
Step by step:
There is one more girl for every 5 boys, and there is 33 students in total, there is 11 in total for each, and 11 times 3 = 33.
Help please jggvnhujff
Answer:
Step-by-step explanation:
8). [tex]\left \{ {{4x+3y=1} \atop {x+y=2}} \right.[/tex]
(2) × [ - 3 ]
4x + 3y = 1 ........ (3)
- 3x - 3y = - 6 .... (4)
(3) + (4)
x = - 5
- 5 + y = 2 ⇒ y = 7
( - 5 , 7 )
9). [tex]\left \{ {{-9x+3y=18} \atop {2x+y=-4}} \right.[/tex]
(1) ÷ [- 3]
3x - y = - 6 ......... (3)
2x + y = - 4 ........ (4)
(3) + (4)
5x = - 10 ⇒ x = - 2
2(- 2) + y = - 4 ⇒ y = 0
(- 2, 0)
10). [tex]\left \{ {{x-2y=14} \atop {10x-6y=0}} \right.[/tex]
(2) ÷ 10
x - 0.6y = 0 ⇒ x = 0.6y -----> (1)
0.6y - 2y = 14
- 1.4y = 14
y = - 10
x - 2(- 10) = 14 ⇒ x = - 6
(- 6, - 10)
Now is your turn, you can do it!!
Dwayne and Alisha both correctly graphed a standard normal curve. Which of the following statements is true? Neither the means nor the standard deviations of Dwayne’s and Alisha’s graphs must be the same. The means of Dwayne’s and Alisha’s graphs must be the same but not the standard deviations. The standard deviations of Dwayne’s and Alisha’s graphs must be the same but not the means. Both the means and the standard deviations of Dwayne’s and Alisha’s graphs must be the same.
Answer: Both the means and the standard deviations of Dwayne’s and Alisha’s graphs must be the same.
Step-by-step explanation:
Answer:
The last one is correct: Both the means and the standard deviations of Dwayne’s and Alisha’s graphs must be the same.
Step-by-step explanation:
Just took the test
The printed price of a DVD player is $ 31. If the sales tax is 8% , find the price at which the DVD player is sold?
Answer:
$33.48
Step-by-step explanation:
Chloe is remodeling her living room and wants to put down new wood floors. The wood floors cost $8.50 per square foot to buy and install. If her living room has an area of 156.5 square feet, how much will the new floors cost?
Answer:
1 330,25
Step-by-step explanation:
8.50x156,6=1330,25
If there are 5 levels of Factor A and 7 levels of Factor B for an ANOVA with interaction, what are the interaction degrees of freedom?
a. 24.
b. 12.
c. 10.
d. 35.
Answer:
C. 10Step-by-step explanation:
let n1 be the degree of freedom of factor A
Let n2 be the degree of freedom of factor B
If there are 5 levels of factor A, then n1 = 5
If there are 7 levels of Factor B then n2 = 7
The interaction between the degrees of freedom is expressed using the formula;
df = (n1 - 1)+(n2 - 1)
df = n1 -1 + n2- 1
df = n1+n2 -2
Substitute n1 and n2 and get df
df = 5+7-2
df = 12-2
df = 10
Hence the interaction degree of freedom is 10
Answer the question in the picture.
Answer:
The answer is C
Step-by-step explanation:
Reflecting across the y-axis is like folding across the y-axis.
2,-2, turns into -2,-2
Hope this helped!
Mia is babysitting and has $40 to give to the 5 kiddos for snacks at the movie theater. How much money will each of the children get for snacks?
Answer:
Each child would get $8.00.
Step-by-step explanation:
An equation to represent this would be:
40/5
When you divide 40 by 5, you get 8 which results in the children each getting $8.00
Answer:
Each kiddo will get 8 dollars each
Step-by-step explanation:
40 divided by 5 = 8
Dallas was told to run around the perimeter of the high
school as a warm-up for football practice. What is the
total distance that Dallas will run?
148 yards
166 yards
196 yards
256 yards
Answer:
Option (4)
Step-by-step explanation:
Perimeter of a polygon is the sum of measures of all sides of the polygon.
From the picture attached,
Distance run by Dallas = Perimeter of the ground
= 48 + 50 + 9 + 30 + 30 + 30 + 9 + 50
= 256 yards
Total warm up run by Dallas = 256 yards
Therefore, Option (4) will be the correct option.
Answer:
b
Step-by-step explanation:
got it right on edge
The distance around a park is 3/2 miles. Noah rode his bicycle around the park for a total of 3 miles. How many times around the park did he ride? Ill mark you brainliest:3
Answer:
2 times
Step-by-step explanation:
Answer:
2 times
Step-by-step explanation:
Question 1 (1 point)
(07.03)
How many solutions does the equation 2y+7=5y+7-3y have?
a
One
Ob
None
ос
Two
od
Infinitely many
Answer:
0 because both equations on either side will cancel out
GUYS HALP MEH WITH MATH!!!
Answer:
i think -575
Step-by-step explanation:
(-4)x(4+4-(6-(-10)) ?
Answer:
28
Step-by-step explanation:
A volleyball team drank 7.5 liters of water during their mat9. How many milliliters of water did the volleyball team drink?
Answer:
7500 milliliters
Step-by-step explanation:
7.5*1000
PLEASE HELP WITH THIS MATH QUESTION I am so frustrated I can't get it right and this is my last test attempt :(
Which statement about AABC and ADEF is true?
^^^
A.
B.
C.
D.
What is 6 2/3 x 1 1/2
Answer:
6 2/3 x 1 1/2 is 10
Step-by-step explanation:
if m equals x plus 4 squared and x equals -1 then m equals what
Answer:
15?
Step-by-step explanation:
Here is a list of numbers 5 -17 -3 17 -6 -17 19 -14 -20 state the median.
Answer:
the answer is -6
Step-by-step explanation:
the median is the number that is directly in the middle of a sequence of numbers
which line segment shows the height that corresponds to the given base of the triangle?
Answer:
is this full question
Step-by-step explanation:
there is no line segment or triangle
NEED HELP ASAP!! Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.
If no, justify your answer.
Answer:
No.
There's no congruence theorem or statement that proves that 2 triangles with 2 sides and a non-included angle are congruent to each other.
Step-by-step explanation:
The triangles given, ∆ABC and ∆CYZ both have a non-included angle and two sides given that are congruent to each other.
However, this alone is not enough to prove that both ∆s are congruent to each other because there is also possiblity of another ∆ that will have the same two equal sides and a non-included angle as any of the 2, and can thereby have different shape and size.
There's also no congruency statement that proves that two triangles with congruent two sides and a non-included angle are congruent to each other.
Therefore, the information to us is not enough.
If a scale factor of 5 is used to make a reduction, what is the base of the original triangle?
Original triangle
Height
Base
Reduced triangle
3
5
0 1
O 10
O 15
O 25
Answer:
25
Step-by-step explanation:
took test on edge