At a state university on the west coast, 13% of undergraduate students are of Asian origin. Among students of Asian origin, 11% major in Humanities, 7% in Social Sciences, 31% in Biological and Physical Sciences, 36% in engineering, and the remaining 15% in Business. Among students of other ethnicities, 19% major in Humanities, 16% in Social Sciences, 12% in Biological and Physical Sciences, 18% in engineering, and the remaining 35% in Business. One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.
Answer:
0.9398 = 93.98% probability that the student is not of Asian origin.
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.
In this question:
Event A: Business student
Event B: Not of Asian origin.
Probability that the student is an undergraduate majoring in business.
15% of 13%(Of Asian origin).
35% of 100 - 13 = 87%(Not of Asian origin). So
[tex]P(A) = 0.15*0.13 + 0.35*0.87 = 0.324[/tex]
Business student and not of Asian origin:
35% of 87%. So
[tex]P(A \cap B) = 0.35*0.87 = 0.3045[/tex]
One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3045}{0.324} = 0.9398[/tex]
0.9398 = 93.98% probability that the student is not of Asian origin.
Spring tides are extremely high and extremely low. This is created when the sun and moon pull together.
Answer:
yep true
Step-by-step explanation:
facts u know what u talking bout
Adam has 1/2 quart of milk. If he pours the same amount if milk into 3 glasses. How many quarts of milk will each glass have?
Adam tiene 1/2 cuarto de litro de leche. Si vierte la misma cantidad si la leche en 3 vasos. ¿Cuántos cuartos de leche tendrá cada vaso
Answer:
3/2 or 1 1/2
Step-by-step explanation:
So 1/2 * 3 = 3/2 or 1.5 which as a fraction simplified is 1 1/2. Hope that helps!
please help on this question i will give u brainliest:
Mr. Ramirez informs the students that some of the trees they plant will not survive their first year, so the class will take precautions to monitor the trees to give them the best chance of survival.
Abby does some research and finds that, on average, 3 out of every 25 trees planted will die their first year.
Answer:
smalls
Step-by-step explanation:
i needa big mac frfr brrrrrrrr
Answer:
ok
Step-by-step explanation:
Answer:
suppersize my fries...
Anna juices 8 quarts of juice in 1 minute. How many gallons does she have in 1 hour? (4 quarts = 1 gallon)
Answer: 120
Step-by-step explanation: 8 times 60 is 480 then converted to gallons do
480/4
Can someone please help!!! I will mark Brainly if you get it right!!!!
Answer:
I think it is the last one
Sue has four DVDs and Terry has six DVDs. They
put all their DVDs together and sold them for $10
for two DVDs. How much money will they earn if
they sell all of their DVDs?
Answer:
$50
Step-by-step explanation:
4+6=10/2=5*10=50
A random sample of 50 students at a large high school resulted in a 95 percent confidence interval for the mean number of hours of sleep per day of (6.73, 7.67). Which of the following statements best summarizes the meaning of this confidence interval?
A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.
B. 95% of the students in the survey reported sleeping between 6.73 and 7.67 hours per day.
C. 95% of the students in this high school sleep between 6.73 and 7.67 hours per day.
D. A student selected at random from this population sleeps between 6.73 and 7.67 hours per day for 95% of the time.
Answer:
A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
95% CI from a sample of 50 students is (6.73, 7.67).
This means that we are 95% sure that the population mean is in this interval, that is, about 95% samples of 50 would contain the population mean, which is given by option A.
By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.
What is confidence interval ?confidence interval tells us the degree of certainty or uncertainty that is existent in a sampling method. It gives us a range of values, telling us we are fairly sure that our true value or parameter lies within the range.
Here given that 95% confidence interval from a sample of 50 students is (6.73,7.67). so we can say that there are 95% chance that the population mean is in this interval (6.73,7.67) , that is, about 95% samples of 50 would contain the population mean, so option A is correct
By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.
To learn more about confidence interval visit :
https://brainly.com/question/15712887
what is the value? when r equals 0
Answer:
I do not know the answer to this question
Step-by-step explanation:
Rodney has $450 in his bank account. He is spending $20 per week. Which of the following equations represents the amount of money, M, in Rodney's account after w weeks?
Answer: M = -20w + 450
Step-by-step explanation:
M = -20w + 450
450 is the amount in his bank account; because he is spending $20 per weeks, so it's -20w.
What is the initial value of the equation shown? (1 point) y = −7x − 6 −13 −7 −6 −1
Answer:
-6
Step-by-step explanation:
The equation is y = -7x - 6.
The initial value is found when x = 0.
y = -7(0) - 6
y = 0 - 6
y = -6
is there estimates that her dinner has 48g of fat in it what percentage of her total daily allowance of fat does her meal contain her total daily allowance of fat is 70 grams
Answer: The meal contains 68.57% of her daily allowance of fat
Step-by-step explanation:
We know that in the dinner, there is a total of 48g of fat.
We also know that her daily dose of fat is 70g, so this will be "the 100%", then we can write:
70g = 100%
Under this point of view, we also can relate the 48g of the dinner to another percentage X%, such that:
48g = X%
Then we have two equations:
48g = X%
70g = 100%
To solve this, we can take the quotient of these two equations to get:
(48g/70g) = (X%/100%)
Now we want to solve this for X%, then we need to isolate X%:
(48g/70g)*100% = X%
68.57% = X%
This means that 48 grams of fat are 68.57% of her daily allowance.
the sum of the ages of tracy and her mother is 60 if tracys present age is y years write a linear expression for her mothers age after 5 years
Answer:
Step-by-step explanation:
m = 60-y
m+5 = 65-y
Fewer young people are driving. In 1995, 63.9% of people under years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to in . Suppose these results are based on a random sample of people under years old who were eligible to have a driver's license in and again in . a. At confidence, what is the margin of error and the interval estimate of the number of eligible people under years old who had a driver's license in
Answer:
A. 0.0272
B. 0.0278
C. No
Step-by-step explanation:
a. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 1995u
First step is to calculate the Standard error using this formula
Standard error(SE)= √(pcap * (1 - pcap)/n)
Where,
pcap represent sample proportion = 0.639
n represent sample size = 1200
Let plug in the formula
Standard error (SE)= √(0.639 * (1 - 0.639)/1200)
Standard error(SE)= 0.0139
Second step is to find Zc using this formula
Zc = Z(α/2)
Where,
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
Zc = Z(α/2) = 1.96
Now let calculate the Margin of Error using this formula
Margin of Error= zc * SE
Let plug in the formula
Margin of Error = 1.96 * 0.0139
Margin of Error = 0.0272
Therefore the Margin of Error is 0.0272
b. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 2016
First step is to calculate the Standard error using this formula
Standard error(SE)= √(pcap * (1 - pcap)/n)
Where,
pcap represent sample proportion = 0.417
n represent sample size = 1200
Let plug in the formula
Standard error (SE)= √(0.417 * (1 - 0.417)/1200)
Standard error(SE)= 0.0142
Second step is to find Zc using this formula
Zc = Z(α/2)
Where,
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
Zc = Z(α/2) = 1.96
Now let calculate the Margin of Error using this formula
Margin of Error= zc * SE
Let plug in the formula
Margin of Error = 1.96 * 0.0142
Margin of Error = 0.0278
Therefore the Margin of Error is 0.0278
c. Based on the above calculation for both (a) and (b) the MARGIN OF ERROR are NOT the same reason been that (a) Margin of Error is 0.0272 while (b) Margin of Error is 0.0278 which simply shows that the proportion in parts (a) and are different.
Can someone help me out please ? Will give brainiest answer. Need all 6
Step-by-step explanation:
tell me the math problem I will tell u the answer its blurry
Can someone answer and explain ill mark brainliest
Answer:
56 of the coins are dimes
Step-by-step explanation:
Dimes = D
Quarters = Q
D+Q=102
10D+25Q=1710
-10(D+Q=102)
-10D-10Q=-1020
+10D+25Q=1710
15Q-690
Q=46
D=102-46=56
CHECK 46(25)+56(10)=1150+560=1710 = YES
A person places $13900 in an investment account earning an annual rate of 2.8%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 18 years.
Answer
hmm
Step-by-step explanation:
Answer:Can u explain more i odnt understand it pelase
Step-by-step explanation:
what does l-7l mean and whats its value NEED HELP
The workers' union at a particular university is quite strong. About 96% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly of the workers interviewed are union members
Answer:
The probability that exaclt x of the members are union members from the n interviewed is given by:
[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]
Step-by-step explanation:
For each worker, there are only two possible outcomes. Either they are union members, or they are not. Members are independent of other members. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
About 96% of all workers employed by the university belong to the workers' union.
This means that [tex]p = 0.96[/tex]
What is the probability that exactly of the workers interviewed are union members
We want probability of x, from n workers interviewed. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]
What is the area of the triangle?
8
4
Find the volume of the cone.
Answer:
[tex]v = \frac{1}{3} \times h \times r {}^{2} \times \pi[/tex]
[tex]v = \frac{12cm \times (8cm) { }^{2} \times \pi}{3} [/tex]
[tex]v = \frac{768cm {}^{3}\pi }{3} [/tex]
[tex]v = 256\pi \: cm {}^{3} [/tex]
Pls answer this for me
Answer:
A) 216in squared
Step-by-step explanation:
6 / 2 = 3
4 * 3 = 12
12 * 2 = 24
5 * 12 = 60
60 * 2 = 120
6 * 12 = 72
24 + 72 + 120 = 216in^2
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
determine the scale factor
Answer:
The scale factor is (2/3)
Step-by-step explanation:
[tex]9 \times \frac{2}{3} = 6 \\ 12 \times \frac{2}{3} = 8[/tex]
I hope that is useful for you :)
PLEASE HELP! The AHS football team did a weigh-in at the start of training camp. The weights of the players were distributed normally with a mean of 98kg and a standard deviation of 6kg. What percentage of players are under 86kg?
=============================================================
Explanation:
Notice how 98-2*6 = 98-12 = 86. So we're 2 standard deviations below the mean.
Start at the center, which is where the highest point is located. The value 98 is at the center. Then move 2 spots to the left, which has us move 2 standard deviations lower than the mean, and we arrive at 86. Refer to the diagram below.
From here, we add up the percentages in that diagram that are below the 86 mark. Those percentages are the 0.15% and 2.35%
So we get (0.15%) + (2.35%) = 2.5% which is the answer
Side note: This diagram is using the Empirical Rule. Some textbooks call it the "68-95-99.7 rule", but that's more clunky of a name in my opinion. The three values 68, 95 and 99.7 refer to the approximate percentage values within 1, 2 and 3 standard deviations of the mean.
Can someone do this real quick plz
Answer:
(3.5, 2)
Step-by-step explanation:
From the attachment, we have:
[tex]H = (1,1)[/tex]
[tex]J= (2,3)[/tex]
[tex]K=(6,3)[/tex]
[tex]L = (5,1)[/tex]
Required
Determine the point of intersection
To do this, we simply calculate the midpoints of the diagonals; which are:
HK and JL
Midpoint is calculated as:
[tex]M = \frac{1}{2}(x_1 + x_2,y_1+y_2)[/tex]
For HK:
[tex]M = \frac{1}{2}(1+6,1+3)[/tex]
[tex]M = \frac{1}{2}(7,4)[/tex]
[tex]M = (3.5,2)[/tex]
For JL:
[tex]M = \frac{1}{2}(2+5,3+1)[/tex]
[tex]M = \frac{1}{2}(7,4)[/tex]
[tex]M = (3.5,2)[/tex]
For both diagonals, the coordinate of the midpoint is (3.5, 2).
Hence, the point of intersection is: (3.5, 2)
A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week.
Create a system of equations or inequalities that models the situation.
Define the variables you use.
Answer:
10/20
Step-by-step explanation:
$15 for 10 hours and $20 for 10 hours
Solve each equation by factoring ⁉️NEED THIS ASAP ⁉️
Answer:
Step-by-step explanation:
Help me please help help help
Answer:
Step-by-step explanation:
at least.
The measures of two angles are 2x⁰ and (3x + 20)⁰. What is the measure of each angle if x = 14?
A. 48⁰, 42⁰
B. 28⁰, 62⁰
C. 36⁰, 62⁰
D. 48⁰, 28⁰
Answer:
The measures of two angles are 2x⁰ and (3x + 20)⁰. What is the measure of each angle if x = 14?
b 28 and 62