Answer:
a) 0.1125 = 11.25% probability that you play someone ranked high and lose.
b) 0.5435 = 54.35% probability that you win
c) 0.0690 = 6.90% probability that you played a high rated opponent
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
(a) For a randomly assigned match, what is the probability that you play someone ranked high and lose?
15% probability that you play someone that is ranked high.
If you play someone ranked high, 100 - 25 = 75% probability you lose
0.15*0.75 = 0.1125
0.1125 = 11.25% probability that you play someone ranked high and lose.
(b) For a randomly assigned match, what is the probability that you win?
75% of 30%(novice oponent)
50% of 55%(mid oponent)
25% of 15%(high opponent). So
[tex]p = 0.77*0.3 + 0.5*0.55 + 0.25*0.15 = 0.5435[/tex]
0.5435 = 54.35% probability that you win
(c) You play a match and win. What is the probability that you played a high rated opponent?
Here, we use the conditional probability formula.
Event A: Winning
Event B: Playing a high opponent.
0.5435 = 54.35% probability that you win
This means that [tex]P(A) = 0.5435[/tex]
Intersection of events A and B:
25% of 15%(high opponent). So
[tex]P(A \cap B) = 0.25*0.15 = 0.0375[/tex]
Question:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0375}{0.5435} = 0.0690[/tex]
0.0690 = 6.90% probability that you played a high rated opponent
s2t-10
if s = -8 and
T= 3/4 please show how you got the answer
98 x 24 = (100 - 2 ) x 24 = ?
Answer:
2352
Step-by-step explanation:
(100 - 2) x 24 = 2400 - 48 = 2352
[IMAGE ATTACHED]
PLEASE HELP ME WITH 9 (and 7a./7b. If you can) :)
Answer:
y = (1/4) 2^x
Step-by-step explanation:
Remark
y = a * x^n is the general equation. Let's see what that means.
Solution
Solve for x
t_12 = a x^12
1024 = a x^12
t_8 = a x^8
64 = a x^8
Now divide the two equations.
1024/64 = a x^12/a x^8 Cancel out the as
1024 / 64 = x^12 / x^8
16 = x^(12 - 8)
16 = x^4 Take the 4th root of both sides.
[tex]\sqrt[4]{x^4}[/tex] = [tex]\sqrt[4]{16}[/tex]
x = 2
Go back and solve for a
y_12 = a x^12
1024 = a 2^12
1024 = a 4096 Divide by 4096
1024 / 4096 = a
a = 1/4
Problem 7
a) First of negative numbers are probably not a good idea. It means that the population is going to decrease. That's not what will happen if you take care of the fruit flies.
So for the domain, 0 is a good starting point.
That will give you 100 flies on day 0. That's how many you bought.
I'm not a biologist so I have no idea in the world how long a fruit fly will live even with the best of care. I'm going to try 60 days and see what happens.
y = 100 * 1.05 ^60
y = 100 * 18.68
y = 1868
Is this number reasonable? Even with the biggest olive jar you can find, and the best care, I don't think that number is realistic. It's too large. Eventually all will die of disease because they are living in their own waste. So Let's try 20 days
y = 100 * 1.05^20
y = 100 * 2.65
y = 265
That's a lot more reasonable. So for convenience sake let us say that 265 flies could live for 20 days
So to answer the question
The domain would be 0 to 20
The range would be 100 to 265
b)
2 weeks = 2*7 days
2 weeks = 14 days
y = 100 * 1.05^14
y = 100 * 1.98
y = 198 fruit flies.
The mid point of ST is M=(-2,3). One end point is S=(4,-2). Find the coordinates of the other endpoint. T
Answer:
S=(6,5)?......not sure tho
HELP ME I AM BEING TIMED
if A and B are two events, the probability of occurrence of either A or B is given as :
a) p(A) + p(B)
b) P(AuB)
c) P (AnB)
d) P(A).P(B)
Answer:
p(A) + p(B)
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome. The probability of an event happening or another is the sum of the individual probabilities.
As such, if A and B are two events, the probability of occurrence of either A or B is given as
= p(A) + p(B)
where p(A) and p(B) are the probabilities of A happening and B happening respectively.
Question 5
A carpet remnant is shaped like a triangle. It has a height of 32 inches and a base of 8 inches. Find the area.
128 square inches
256 square inches
320 square inches
64 square inches
K(2, 7), L(6, 12), M(13, 13), N(9,8) (Slope Formula)
prove whether the quadrilateral is a parallelogram
Answer:
Yes, it's a parallelogram
Step-by-step explanation:
Slope Formula: y2-y1/x2-x1
KL: 12-7/6-2 = 5/4
LM; 13-12/13-6 = 1/7
MN: 8-13/9-13 = 5/4
KN: 7-8/9-2 = 1/7
Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.
Shira's math test included a survey question asking how many hours students spent studying for the test. The scatter plot below shows the relationship between how many hours students spent studying and their score on the test. A line was fit to the data to model the relationship.
Answer:
Part 1) Option B. y = 10x + 45
Part 2) The score is 95
Step-by-step explanation:
Linear equation that best describes the given model
Let
x ---> number of hours students spent studying
y ---> their score on the test
Looking at the line that was fit to the data to model the relationship
The slope is positive
The y-intercept is the point (0,45)
For x=1, y=55 ----> point (1,55)
Find the slope
The formula to calculate the slope between two points is equal to
substitute the points (0,45) and (1,55)
Find the equation of the line in slope intercept form
we have
substitute
Part 2) Estimate the score for a student that spent 5 hours studying.
For x=5 hours
substitute in the linear equation and solve for y
Answer:
Part 1) Option B. y = 10x + 45
Part 2) The score is 95
Step-by-step explanation:
Need Trig Help plz Picture attached
(Total 3 marks)
10.
A plane flies 1400 kilometres in 2 hours 20 minutes.
Calculate the average speed, in km/h, of the plane.
km/h
(Total 3 marks)
Answer:
600 km/hour
Step-by-step explanation:
1400 km in 2 hrs & 20 mins (or 2.33 hours)
1400/2.33 = 600 km/hour
Kendall is Jamal's older brother. The sum of their age is 39 the difference of their age is 9. How old are Kendall and Jamal?
Write and solve the system of equations.
Answer:
Kendall is 24 and Jamal is 15.
Step-by-step explanation:
39 - 9 = 30
30 ÷ 2 = 15
15 is Jamal's age.
15 + 9 = 24
24 is Kendall's age.
Elizabeth picked ⅔ off a row of strawberries from her garden. How many rows will Elizabeth have picked if she does this for 4 days?
Make a table for the rule y= -2x + 5
Answer:
y=5, x=0. that is the first. I'll leave the rest to you.
Step-by-step explanation:
The local news is conducting a poll of the residents' opinions regarding a new traffic law that is being proposed. At the end of a news segment, viewers had the opportunity to dial in or use social media to choose whether they agree or disagree with the law. A large sample size was represented, and this poll was repeated again one week later with similar results. When working with this data, what best applies?
Options :
a. The surveys are biased because people chose to respond or not.
b. Because of the large sample size, the results are most accurate of all members of the community.
c. The same sampling methods were used for both polls, demonstrating reliability.
Answer:
a. The surveys are biased because people chose to respond or not
Step-by-step explanation:
When surveys incorporates a large number of people of a whole population, coupled with the fact that subjects of the survey or research are not compelled to make a choice or air their opinion. In the scenario above, opinion about the new policy is to be expressed by a large audience whereby there is a high tendency that some will no interest in the news nor its content. Leaving only those audience who are more interested and likely the most affected by the policy to respond. This way there will be no distinction between those who disagree and those who fail to respond. It would be more advisable to employ a sample audience who are interested and woykd give a verdict on the policy.
Breaking down Brown versus Whitman: Example 2 of the chapter 1 discusses an exit poll taken during the 2010 California gubernatorial election. The administrators of the poll also collected demographic data, which allows for further breakdown of the 3889 voters from whom information was collected. Of the 1633 voters registered as Democrats, 91% voted for Brown, with a margin of error of 1.4%. Of the 1206 voters registered as Republicans, 10% voted for Brown, with a margin of error of 1.7%. And of the 1050 Independent voters, 42% voted for Brown, with a margin of error of 3.0%.
Required:
a. Do these results summarize sample data or population data?
b. Identify a descriptive aspect of the results.
c. Identify an inferential aspect of the results.
Answer:
(A) Population data
(B) The figures
(C) The classification of votes by political party
Step-by-step explanation:
(A) These results summarize population data. The population is the total 3,889 voters from whom information was collected.
The samples would be
- Voters registered as Democrats (1,633)
- Voters registered as Republicans (1,206)
- Independent Voters (1,050)
The total of members in each sample equals the total number of people in the population.
(B) A descriptive aspect of the result is the figures or percentages. They describe how (in percentage) voters penned their votes for Brown and how they penned their votes for Whitman. NOTE: To get the percentage or fraction of those who voted for Whitman, simply subtract the percentage of Brown's supporters from a total of 100%.
(C) An inferential aspect of the results is the classification of votes by different parties (the samples are the different parties involved here). This helps to infer the sources of support for Brown and the sources of support for Whitman.
For example, if the total votes for Brown (in population result analysis) are low, the Republicans are the major reason why!
The volume of a cylinder is 84 pie inches cubed what can be concluded about the volume of the con
Answer:
that it has a radius of (84/(h×pi))^1/3
plz help i have 3 mins it for 25 points
Answer:
c: 38 cm
Step-by-step explanation:
I hope it's not too late
Answer:
The area is 32cm
Step-by-step explanation:
Area = length x width
Area = 4 x 8 = 32
600 at 4% for 9 months
Answer:
Monthly payment-$67.78
Step-by-step explanation:
I didn't really know what you wanted so I just put that because that's the only thing to suit it but next time add in more information in your question please.
d Problems
The enrolment of our school is 800. If 35 % are girls
a. What fraction are girls?
b. What fraction are boys?
Answer:
Step-by-step explanation:
g=800(0.35)=280
a. 280/800=7/25
b. 520/800=13/20
I feel like I’m wrong and if I am can someone correct me? Thank you!
How do I find the measure of each marked angle question 14
Answer:
x=38
Step-by-step explanation:
hope this helps!
if angles are on a line like that, both equations added up together will always be equal to 180.
like this:
2x-10+3x = 180
5x-10=180 (combine)
5x=190 (subtract 10 on both sides)
x=38 (divide both sides by 5)
Find the slope of the line
Answer:
Unrefined
Step-by-step explanation:
If the line is straight, that means it's undefined
(5 pts) It takes Jack 3 hours longer to write holiday cards than it takes Jill. Together, they can write them
in 2 hours. How long does it take each person to write the cards working alone?
Answer:
Jack needs 6 hours and Jill needs 3 hours.
Step-by-step explanation:
Let's define the variables:
X = rate at which Jack can write a holiday card.
Y = rate at which Jill can write a holiday card.
Each of them will need a given time to write a card, such that:
X*T = 1 card
We know that Jack needs 3 more hours to write a card than Jill, then Jill needs 3 hours less than Jack, so if Jack needs T hours, Jill will need T - 3 hours
Then we have the equation:
Y*(T - 3 hr) = 1 card
And we also know that when they work together, they need 2 hours, then:
(X + Y)*2 hr = 1 card.
So we have 3 equations:
X*T = 1 card
Y*(T - 3 hr) = 1 card
(X + Y)*2 hr = 1 card.
Now let's ignore the card part just for the equations, then we get:
X*T = 1
Y*(T - 3 hr) = 1
(X + Y)*2 hr = 1
To solve it, we first need to isolate one variable in one of the equations, let's isolate T in the first equation, we get:
T = 1/X
Now we can replace this in the second equation to get:
Y*((1/X) - 3hr) = 1
So now we have two equations:
(X + Y)*2 hr = 1
Y*((1/X) - 3hr) = 1
We need to do the same, isolate one variable in one of the equations, let's isolate Y in the above one:
Y*2hr = 1 - X*2hr
Y = (1 - X*2hr)/2hr
Now we can replace this in the other equation to get:
((1 - X)/2hr)*((1/X) - 3hr) = 1
Now we can solve this for X:
((1 - X)/2hr)*((1/X) - 3hr) = 1
(1 - X)*((1/X) - 3hr) = 2 hr
1/X - 3hr - X*2hr/X + X*2hr*3hr = 2hr
1/X - 3hr - 2hr + X*6hr^2 = 2hr
1/X + X*6hr^2 = 2hr + 3 hr + 2 hr = 7hr
1/X + X*6hr^2 = 7hr
Now we can multiply all by X to get:
X/X + X*(X*6hr^2) = 7hr*X
Now we have the quadratic equation:
(6hr^2)*X^2 - (7hr)*X + 1 = 0
We can find the solutions of this equation if we use the Bhaskara's formula, the solutions are:
[tex]X = \frac{-(-7hr) +- \sqrt{(-7hr)^2 - 4*(6hr^2)*1} }{2*6hr^2} = \frac{7hr +- 5hr}{12 hr^2}[/tex]
Then we have two solutions:
X = (7hr + 5hr)/12hr = 1 hr^-1
And this is the rate at which Jack writes a card, so the actual units are:
X = 0.167 card/hr
Then Jill's rate will be:
Y = (1 - X*2hr)/2hr = (1 - 1card/hr*2hr)/2hr = -0.5 card/hr
So we have a negative rate, this makes no sense, so we can discard this option. The other solution for X is:
X = (7hr - 5hr)/12hr = 0.166... hr^-1
And this is the rate at which Jack writes a card, so the actual units are:
X = 0.166... card/hr
If we have this, then the rate for Jill will be:
Y = Y = (1 - X*2hr)/2hr = (1 - 0.167card/hr*2hr)/2hr = 0.333 card/hr
Then we have:
X = 0.167 card/hr
If we use the first equation, we get:
(0.166... card/hr)*T = 1 card
T = 1 card/((0.166... card/hr)) = 6 hours
Then Jack needs 6 hours to write a card.
And we know that Jill needs 3 hours less than that, then Jill needs 3 hours.
Please help Firts I need to write with a function
Second what is the answer
Answer:
Step-by-step explanation:
The answer is 48 hotdogs because 120 divided by $2.50 is 48
Can anybody help me
Since there is no value of x that will ever make this a true statement, the solution to the equation above is “no solution” The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. and Basically just means for all numbers from minus infinity to infinity. We say real x to distinguish from complex numbers. 0. general ebriety. and Basically just means for all numbers from minus infinity to infinity. We say real x to distinguish from complex numbers. 0. general ebriety.
Help its due in 20 minutes please
Answer:
The answer is A
Step-by-step explanation:
F the total number of fees is how much 250 + 15g equals
I’m really having trouble on this, can anyone help?
Answer:
the first box is proportional but the second is not
thus; y is (4/3)x for the first illustration
Yesterday,
5/8
of the 72 students in a contest gave their speeches. How many students gave their speeches?
Write your answer in simplest form?
Answer:
45
Step-by-step explanation:
5 divided by 8, multiply by 72
=(5÷8)72
=(0.625)72
=45
The area of a rectangular front yard is, 180 square feet find the length of the front yard if the width is 15 feet
