Answer:
15
Step-by-step explanation:
In a management trainee program at Claremont Enterprises, 80 percent of the trainees are female and 20 percent male. Ninety percent of the females attended college, and 78 percent of the males attended college.
a. A management trainee is selected at random. What is the probability that the person selected is a female who did not attend college?
b. Are gender and attending college independent? Why?
c. Construct a tree diagram showing all the probabilities, conditional probabilities, and joint probabilities.
d. Do the joint probabilities total 1.00? Why?
Answer: a. 8% ; b. Not independent; c. See tree diagram; d. Yes
Step-by-step explanation:
a. Let F = Females
M = Males
C = Those that attend college
P(F) = 80% = 0.8
P(M) = 20% = 0.2
P(C/F) = 90% = 0.9
P(C/M) = 78% = 0.78
If 90% of the females go to college, it means that 10% don't go to college.
We then use the multiplication rule and we'll get:
= 80% × 10%
= 0.8 × 0.1
= 0.08
= 8%
b. An independent event is one that the occurence of one event doesn't affect the other event from happening. However, this is not independent as the occurence of the events affect each other.
c. See attachment
The joint probability on the tree diagram will be:
= 0.72 + 0.08 + 0.156 + 0.044
= 1.00
Use the data below to determine how many days of class a student missed if he or she has a quarter grade of 40%.
Question 3 options:
A.7 days
B.4 days
C.9 days
D.1 day
Answer:7 days
Step-by-step explanation:
Simone paid $5.25 for 3 pounds of apples. Which equation represents the cost, in dollars, C, of buying a pounds of apples?
C = 1.75a
C = 2.25a
C = 1.75 + a
C = 2.25 + a
Explain whatever the answer is.
How long will it take for an investment to triple, if interest is compounded continuously at 8%?
It will take years before the investment triples.
Answer:
It will take 14 years before the investment triples
Step-by-step explanation:
Continuous Compounding
Is the mathematical limit that compound interest can reach if it was calculated and reinvested into an account's balance over a theoretically infinite number of periods.
The formula for continuous compounding is derived from the formula for the future value of a compound interest investment:
[tex]FV = PV\cdot e^{i.t}[/tex]
Where:
FV = Future value of the investment
PV = Present value of the investment
i = Interest rate
t = Time
It's required to find the time for an investment to triple, that is, FV = 3 PV, knowing the interest rate is i=8%=0.08.
Substituting the known values:
[tex]3PV = PV\cdot e^{i.t}[/tex]
Dividing by PV:
[tex]3 = e^{i.t}[/tex]
Taking logarithms:
[tex]\ln 3=i.t[/tex]
Solving for t:
[tex]\displaystyle t=\frac{\ln 3}{i}[/tex]
[tex]\displaystyle t=\frac{\ln 3}{0.08}[/tex]
t = 13.7 years
Rounding up:
It will take 14 years before the investment triples
It will take 37.5 years before the investment triples.
The formula for calculating the future value is expressed as:
[tex]A =Pe^{rt}[/tex]
P is the principal
r is the rate (in %)
t is the time (in years)
If the investment tripled, then A = 3P. The equation will become:
[tex]3P=Pe^{rt}\\3=e^{rt}\\ln3 =lne^{rt}\\rt = 3\\0.08t =3\\t =\frac{3}{0.08} \\t =37.5 years[/tex]
Hence it will take 37.5 years before the investment triples.
Learn more here: https://brainly.com/question/18442810
what is the solution to the inequalities shown above x/4 + 16 > 34?
A. x 18
C. x > 72
D. x < -72
What is the domain of f
A) The x values -7, -5, -4, 3 and 7
B) -6 ≤ x ≤ 4
C) -7 ≤ x ≤ 7
D) The x values -6, -5, 2, 3, and 4
Which product is positive?
Answer:
The last option.
Step-by-step explanation:
When you multiply a negative by a negative it makes a positive number. Therefore, if you multiply an even number of negative numbers, you get a positive product. The other options have an odd number of negative numbers to multiply by that makes them result in a negative product.
Solve the system of equations below.
{2x−y=3x+2y=−6
Answer:
Step-by-step explanation:
y=7 so (2x y) =14 (3x + 2y =
The solution of the linear system of the equation is (0, −3).
What is linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equations are given below.
2x − y = 3
x + 2y = −6
Then the solution to the equation will be given by the elimination method. Then we have the equation.
4x − 2y = 6 ...1
x + 2y = −6 ...2
Add equations 1 and 2, then we have
5x = 0
x = 0
Then the value of y will be
2y = −6
y = −3
Then the solution of the linear system of the equation is (0, −3).
And the graph is given below.
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ2
How are sedimentary rocks changed to metamorphic rocks?
Question 3 options:
A through the addition of heat and gravity
B through the addition of heat and oxygenation
C through the addition of heat and melting
D through the addition of heat and pressure
Answer:
C
Step-by-step explanation:
I just learned about this and took a test
Answer:
It's C.
Step-by-step explanation:
From 2010 to 2011, the population of Queens increased by 16,075. Brooklyn’s population increased by 11,870 more than the population increase of Queens.
a) Estimate the total combined population increase of Queens and Brooklyn from 2010 to 2011. (Round the addends to estimate.)
Answer:
44020
Step-by-step explanation:
Mark as Brainliest
4. To be linear means to have a constant (the same)
rate of change over all intervals. Which of the
following relationships is linear?
|
X
4.
2.
0
Y
1
5
13
17
X
1
2
4
5
Y
1
3
5
7
A.
B.
X
5
3
-1
-3
Y
1
5
13
17
Y
5
9
Sinaloa
1
6
C.
D.
There are 74 children at a camp 38 are girls the rest are boys how many boys are at the camp
Answer:
36 boys are at the camp
Step-by-step explanation:
Answer: 36
Step-by-step explanation: just subtract 38 from 74
74-38=36
The table below shows the total cost for purchasing a certain number of equally-priced concert tickets
Write an equation to describe the relationship between t, the number of tickets, and c, the total cost of tickets.
Answer:
c=55t
Step-by-step explanation:
Your answer will be c=55t
State yes/no in each part, and explain in a sentence or two. (a) You have a drawer filled with 20 balls, which are colored black or white. You have 12 black and 8 white balls. You randomly select a ball, record the color, and put the ball back into the drawer. Then you go to randomly select another from the drawer. Is the probability that the second pick is white independent of what the first ball color was? (b) You have a box containing 52 cards, which are either red or black. You have 26 red cards and 26 black cards. You randomly select a card (don't put it back in the box). Then you go to randomly select another card. Is the probability that the second pick is diamond independent of what the first card was? (c) A basketball player is going to do a free throw 100 times at practice. They are interested in the number of goals they make each kick is either a goal or not). If each free throw attempt is independent with a 90% chance (0.90 probability) of being a goal, then is the total number of free throws that are goals in the 100 attempts following a binomial distribution? (d) A soccer ball player is going to do 50 free kicks at practice. They are interested in the number of successes they make. If each kick is independent, but the player begins to make more free kicks the more attempts they make the probability they succeed increases the more attempts they take, P is increasing), then is the total number of successes made in the 50 attempts following a binomial distribution? (e) Your girlfriend has a box filled with scraps of paper, which have the names of movies (including the one you don't like). Your girlfriend randomly selects a scrap of paper from the box, reads it out loud, and sets the paper aside. Your girlfriend then randomly selects another paper. Is the probability that the second pick is the one you don't like independent of what the first picked movie was? (f) Your wife has a box filled with scraps of paper, which have the names of restaurants including the first place you went out with her). Your wife randomly selects a scrap of paper from the box, reads it out loud, puts the paper back in the hat, and mixes up the scraps of paper. Your wife then randomly selects another paper. Is the probability that the second pick is the first place you went out with her independent of what the first name was?
Answer:
State yes/no in each part, and explain in a sentence or two.
(a) You have a drawer filled with 20 balls, which are colored black or white. You have 12 black and 8 white balls. You randomly select a ball, record the color, and put the ball back into the drawer. Then you go to randomly select another from the drawer. Is the probability that the second pick is white independent of what the first ball color was?
yes. This is because they are independent events. The fact that you returned the first ball back to the drawer makes the initial conditions the same so the probability of picking a white ball is the same as in the first attempt.
(b) You have a box containing 52 cards, which are either red or black. You have 26 red cards and 26 black cards. You randomly select a card (don't put it back in the box). Then you go to randomly select another card. Is the probability that the second pick is diamond independent of what the first card was?
No. This is because the total number of cards in the box has changed since you didn't put the first card back. For example, the probability of picking a diamond on the first try is: P=13/52=1/4 = 25%. But when you pick the first card and don't put it back in the box, then the probability changes. If the first card was a card other than a diamond card, then the probability will now be: P=13/51=25.5% the probability has increased. If the first card you picked was a diamond, then the probability would be still different: P=12/51=23.5% so the probability of picking a diamond on the second attempt has decreased.
(c) A basketball player is going to do a free throw 100 times at practice. They are interested in the number of goals they make each kick is either a goal or not). If each free throw attempt is independent with a 90% chance (0.90 probability) of being a goal, then is the total number of free throws that are goals in the 100 attempts following a binomial distribution?
Yes. For it to be a binomial distribution you must only have two independent outcomes. In this case, the outcomes are the shot being a goal or not. The probability for it being a goal is 90% and the probability for it not being a goal is 10%. So it is a binomial distribution.
(d) A soccer ball player is going to do 50 free kicks at practice. They are interested in the number of successes they make. If each kick is independent, but the player begins to make more free kicks the more attempts they make the probability they succeed increases the more attempts they take, P is increasing), then is the total number of successes made in the 50 attempts following a binomial distribution?
No. This is because the outcomes of a binomial distribution must remain constant independently on the number of attempts. Since the probability increases with the number of outcomes, then the outcomes will not be independent so it becomes a hypergeometric distribution.
(e) Your girlfriend has a box filled with scraps of paper, which have the names of movies (including the one you don't like). Your girlfriend randomly selects a scrap of paper from the box, reads it out loud, and sets the paper aside. Your girlfriend then randomly selects another paper. Is the probability that the second pick is the one you don't like independent of what the first picked movie was?
No. This is because the number of possible outcomes will decrease as she sets the paper aside. If the first movie she picked was a movie you like, then the probability that the second movie she picks is the one you don't like increases. If the first movie she picked was the movie you don't like, then the probability that on the second try she picked the movie you don't like decreases to zero since it has alreay been picked.
(f) Your wife has a box filled with scraps of paper, which have the names of restaurants including the first place you went out with her). Your wife randomly selects a scrap of paper from the box, reads it out loud, puts the paper back in the hat, and mixes up the scraps of paper. Your wife then randomly selects another paper. Is the probability that the second pick is the first place you went out with her independent of what the first name was?
yes. This is because when she puts the paper back in the lot, then the total number of papers in the box is the same as in the first try. In this case the number of possible outcomes and the number of desired outcomes are the same as in the first try, so the probability is the same no matter what the first pick was.
. An urn contains six colored balls: four orange and two blue. Two balls are selected at random without replacement, and you are told that at least one of them is orange. What is the probability that the other ball is also orange?
Answer:
We draw two balls. We know that one of them is orange.
Let's suppose that the first one is the orange.
Then after drawing that, we know that there are 5 balls left in the urn, and only one will be orange.
Then the probability of drawing the other orange ball is equal to the quotient between the number of orange balls and the total number of balls.
P1 = 1/5.
And now let's consider the other case, where we know that in the second draw we will draw an orange ball.
Then the probability of drawing an orange ball in the first draw is equal to the quotient between the number of orange balls (at the beginning we have 2) and the total number of balls (6)
P2 = 2/6
As those represent different cases (we assume different conditions for each one), the probability that we draw two orange balls, knowing for sure that we will draw one, is equal to the sum of these probabilities.
P = P1 + P2 = 1/5 + 2/6 = 6/30 + 10/30 = 16/30 = 8/15
Determine the intercepts of the line.
y = -7x + 3
Y-intercept and y-intercept
There are 99 males and 121 females participating in a marathon. What participants are females?
Answer:
121..??
Step-by-step explanation:
What is the percentage difference in average lifetime earnings of a college graduate earning $60,000 / year vs. a high school graduate earning $38,000 / year?
Answer: 37
Step-by-step explanation:
Which statement is true?
-42<-59
-42<-54
-59 > -47
-59-54
Submit
Answer:
-59<-54
Step-by-step explanation:
debby collected eight times as many bags of cans as her friend .if her friend collected two thirds of a bag. how many bags did debby collect
Answer:
5 1/3
Step-by-step explanation:
I caculated 2/3 times 8
What is the equation of this line?
The graph below shows the number of cases of candy bars four students sold for a fundraiser and the total number of candy bars in those cases. How many candy bars are in each case
Answer:
Step-by-step explanation:it’s between 30 and 50
Answer: The answer is 25
Step-by-step explanation: If you look at the kid with 200 bars he had 8 boxes, so all you had to do was divide 8 by 200. I hope this helped! : )
Consider the following system that has a solution of (5,3).
Answer:
Option pls
Step-by-step explanation:
Answer:Solution. (a) The system has no solutions if k 2 6= 3 , i.e. k 6= 6 . (b) The system has no unique solution for any value of k. (c) The system has infinitely many solution if k = 6. The general solution is given by x 1 = 3+t,x 2 = t Exercise 52 Find a linear equation in the unknowns x 1 and x 2 that has a general solution x 1 = 5+2t,x 2 = t ...
Step-by-step explanation:
SO FIRST YOU GO TO GOOGLE TYPE IN YOUR ANSWER AND THEN BAM
You invest $3,635 in an investment with annual rate of return 6%. How much will the investment be worth after 8 years?
Answer:
5,379.80
Step-by-step explanation:
you multiply $3,635 times .06, and you'll get $218.10. then you multiply $218.10 times 8. you will get $1,744.80. you then add your original amount of $3,635 and the final answer is $5,379.80
Need help I’ll mark brainliest
Answer:
Step-by-step explanation:
y=25x if y is the miles and x is the time
Answer:
u just got to multiply it, for extra and faster help, use math away for ur math and its a bot so obviously it will tell you the answer and steps, hope I hekoed and plus my bday is in 6 days I'll be 13! I'm just so excited!!! I'm a girl, you could call me Che and yeah... I forgot what I was gonna say but bye and pls yall, pls be nice to me, it's close to my bday! thx.
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Step-by-step explanation:
If ABCD is a parallelogram. BC=13 and AB=5, what is the perimeter of the parallelogram?
Answer:
36
Step-by-step explanation:
In a Parallelogram , it is important to note that opposite sides are equal to each other.
We are given parallelogram ABCD.
We have sides: AB, BC, CD, AD.
Since opposite sides are equal then:
AB = CD
BC = AD
The perimeter of a parallelogram is the sum of all its sides.
In the question: BC=13 and AB=5
Hence,
AB = CD = 5
BC = AD = 13
Perimeter of Parallelogram ABCD = 5 + 5 + 13 + 13
= 36.
PLEASSSE HELP ASAP I'LL GIVE ⊂BRAINLIEST⊃ AND ↑5 STARS↑ !!!
⇔ all answers answered are required for 5 stars & brainliest⇔
Wilson paints 40% of a bookcase in 20 minutes.
How much more time will it take him to finish the bookcase? Write an equation using equal fractions to represent this situation. Use a box to represent the total time it takes to paint the bookcase.
second question
How much time will it take Wilson to finish painting the bookcase? Explain.
Answer:
Step-by-step explanation:
30 minutes UoU
Every 10 minutes he finishes 20% of the book case.
so In 10 minutes he will have 50% done, In 20 minutes 60%, in 40 minutes 100%
help me for brainliest :p
Answer:
it is b
Step-by-step explanation:
when you divide exponents you subtract them. when you have parentheses you multiply the exponents. the one on the left is 6^13 and the one on the right is 6^8. 6^13 is more than 6^8.
multiplication and addition
Answer:
ok! what do u need help on???
I need help ASAP ! Nd plz help me how to show work
Answer:
x = -3
Step-by-step explanation:
y = -x + 2
7x + 4y = -1
Subsitution method: (Substitute y)
7x + 4(-x+2) = -1
Expand.
7x + (-4x + 8) = -1
One plus and one minus make one minus. Two plus makes a plus.
7x -4x + 8 = -1
Simplify.
3x + 8 = -1
Isolate 3x.
3x = -1-8
= -9
Find x.
x = -9 ÷ 3
= -3