Answer:
a) 0.55 = 55% probability that the person is traveling on business
b) 0.14 = 14% probability that the person is traveling for business on a privately owned plane.
c) 0.2545 = 25.45% probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons.
d) 0.2 = 20% probability that the person is traveling on business, given that the person is flying on a commercially owned plane.
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.
Question a:
50% of 60%(major airlines)
70% of 20%(privately owned airplanes)
80% of 100 - (60+20) = 20%(comercially owned airplanes). So
[tex]p = 0.5*0.5 + 0.7*0.2 + 0.8*0.2 = 0.55[/tex]
0.55 = 55% probability that the person is traveling on business.
Question b:
70% of 20%, so:
[tex]p = 0.7*0.2 = 0.14[/tex]
0.14 = 14% probability that the person is traveling for business on a privately owned plane.
Question c:
Event A: Traveling for business reasons.
Event B: Privately owned plane.
0.55 = 55% probability that the person is traveling on business.
This means that [tex]P(A) = 0.55[/tex]
0.14 = 14% probability that the person is traveling for business on a privately owned plane.
This means that [tex]P(A \cap B) = 0.14[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.14}{0.55} = 0.2545[/tex]
0.2545 = 25.45% probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons.
Question d:
Event A: Commercially owned plane.
Event B: Business
80% of those arriving on other commercially owned planes are traveling for business reasons.
This means that:
[tex]P(B|A) = 0.2[/tex]
0.2 = 20% probability that the person is traveling on business, given that the person is flying on a commercially owned plane.
g A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 11 of the plates have blistered. Does this provide compelling evidence for concluding that more than 10% of all plates blister under such circumstances
Complete Question
A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 11 of the plates have blistered. Does this provide compelling evidence for concluding that more than 10% of plates blister under such circumstances?
A) State H_0 and H_a, (5 pts)
B) Test the hypothesis using the P-Value approach at a significance level of 4%: (15 pts)
Expert Answer
Answer:
a)[tex]H_0:p=0.10[/tex]
[tex]H_a:p>0.10[/tex]
b) We fail to reject Null hypothesis
Step-by-step explanation:
From the question we are told that:
Sample size n=100
No. with blistered x=11
a)
Generally the Hypothesis given as
[tex]H_0:p=0.10[/tex]
[tex]H_a:p>0.10[/tex]
b)
Since p=0.10
Therefore
[tex]p'=\frac{11}{100}[/tex]
[tex]p'=0.11[/tex]
Test statistics
[tex]Z=\frac{p'-p}{\sqrt{p(1-p)}}[/tex]
[tex]Z=\frac{0.11-0.10}{\sqrt{0.10*0.90/100}}[/tex]
[tex]Z=1.33[/tex]
From table
[tex]P-Value =0.092[/tex]
Therefore
P-value >0.04 significance level
Hence,We cannot conclude that at [tex]4\%[/tex] significance level the proportion is greater than [tex]10\%[/tex]
We fail to reject Null hypothesis
write your answer in simplest radical form
Answer:
x = 2 yd
Step-by-step explanation:
Angles of 45 degreees = two congruent legs
for the Pythagorean theorem
2x^2 = 8
x^2 = 4
x = 2
Emma went out shopping with her father and bought a dress that cost $40.00. In class, she
learned to find the sales tax by multiplying by .08 (the sales tax in her state is 8%). Emma
found the tax, and then added the tax to the original amount. Emma's mother suggested that
she should just multiply the cost of the dress by 1.08 and that this method would give her the
final answer with the tax included. Emma was confused. Who is right? Work it out both ways
and explain your thinking.
Answer:
Both ways are correct
If you multiply the cost by 8% and add, you will still get 108% as your total.
Answer:
Both ways are correct
Step-by-step explanation:
Father's way is ( 40 × 0.08 ) + 40 = $43.2
Mothers way is 40 × 1.08 = $43.2
I need help ASAP please help me solve this math question
Answer:
b appears to be correct
Step-by-step explanation:
A company pays a bonus to four employees A, B, C, and D. A gets four times as much as B. B gets 50% of the amount paid to C. C and D get the same amount. If the total bonus is ¢1,800.00, set all necessary equations to ascertain the share of each employees.
Answer:
A = 800, B = 200, C = 400 Andy D = 400
Step-by-step explanation:
the perimeter of a square is less than or equal to 50 find the range of the value of the length of the square
Answer:
12.5 ≥ s >0
Step-by-step explanation:
The perimeter of a square is given by
P = 4s where s is the side length
50 ≥ 4s
Divide each side by 4
50/4 ≥ 4s/4
25/2 ≥ s
12.5 ≥ s
Find the area AND perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answer:
a=40+8pi, p=4pi+4(sqrt of 29)
Step-by-step explanation:
rsm geometry class 122?
If the area A of a triangle is 60 m- (square meters) and the base b is 20 m, what is the altitude h?
Answer:
not sure
Step-by-step explanation:
a+B+C+=d
A study was done to determine the average number of homes that a homeowner owns in his or her lifetime. For the 50 homeowners surveyed, the sample average was 5.1 and the sample standard deviation was 3.8. Calculate the 95% confidence interval for the true average number of homes that a person owns in his or her lifetime.
Answer:
The 95% confidence interval for the true average number of homes that a person owns in his or her lifetime is (4,6.2).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So
df = 50 - 1 = 49
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0096
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0096\frac{3.8}{\sqrt{50}} = 1.1[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 5.1 - 1.1 = 4
The upper end of the interval is the sample mean added to M. So it is 5.1 + 1.1 = 6.2.
The 95% confidence interval for the true average number of homes that a person owns in his or her lifetime is (4,6.2).
What is the conjugate of
square root 8 - square root 9
Answer:
[tex]\sqrt{8}+\sqrt{9}[/tex]
Step-by-step explanation:
By definition, the conjugate of a binomial is when you switch the operator (either + or -) in between the terms. For example, the conjugate of [tex]a+b\sqrt{c}=a-b\sqrt{c}[/tex] as we are just changing the addition symbol (+) to a subtraction symbol (-).
Therefore, the conjugate of [tex]\sqrt{8}-\sqrt{9}[/tex] occurs when we change the subtraction symbol to an additional symbol, hence the answer is [tex]\boxed{\sqrt{8}+\sqrt{9}}[/tex]
Two angles of a triangle have the same measure and the third one is 57 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
x+x+x+39=180 degrees. (The sum of the angles of a triangle is 180.)
Combine like terms:
3x+39=180
Solve for X
3x+39-39=180-39
3x=141
3x÷3=141÷3
x=47
The largest angle equals 47+39=86.
Now lets check it 47+47+86=180.
What is 4x-3(x-2y)+1/2(6x-8y) in fraction form
Answer:
Hola
Step-by-step explanation:I need points
Answer:
4x+2y
Step-by-step explanation:
Find the missing length in the image below
Answer:
not similar
Step-by-step explanation:
32/26 = 16/13
18/12 = 3/2
16/13 is not equal to 3/2, so the rectangles are not similar.
Lets check
[tex]\\ \sf\longmapsto \dfrac{32}{18}\boxed{}\dfrac{26}{12}[/tex]
[tex]\\ \sf\longmapsto \dfrac{16}{9}\boxed{}\dfrac{13}{6}[/tex]
Hence
[tex]\\ \sf\longmapsto \dfrac{16}{9}\neq\dfrac{13}{6}[/tex]
Both rectangles are not similar
create a graph of 4.95 + 3.99
Answer:
????
Step-by-step explanation:
as in y = 4.95 + 3.99 or points? if so just draw a horizontal line at 8.94
The object of a popular carnival game is to roll a ball up an incline into regions with different
values. The probability that Angus will get 100 points in a roll is 40%, 200 points is 35%, and
300 points is 25%. Find the expected value, E(X), of a roll.
O 185
O 200
O 400
O 150
The expected value, E(x) of the given observation is 185
The expected value is the mean of the overall observed value or random value. In other words, it is the average of the observed values.
The given parameters can be represented as:
[tex]\begin{array}{cccc}x & {100} & {200} & {300} \ \\ P(x) & {40\%} & {35\%} & {25\%} \ \end{array}[/tex]
The following formula calculates the expected value:
[tex]E(x) =\sum x * P(x)[/tex]
So, we have:
[tex]E(x) = 100 * 40\% + 200 * 35\% + 300 * 25\%[/tex]
[tex]E(x) = 40 + 70 + 75[/tex]
[tex]E(x) = 185[/tex]
Learn more about expected values at:
https://brainly.com/question/16726343
Cho hệ vectơ:
X1=(2;1;0;1); X2=(1;1;0;-1); X3=(0;-1;2;2); X4=(1;0;2;1)
a) Xét xem hệ vectơ trên độc lập tuyến tính hay phụ thuộc tuyến tính.
b) Biểu diễn vectơ X 4 qua các vectơ còn lại.
Answer:
i dont no the ans
Step-by-step explanation:
I thought of a number. I added 15, tripled it and then subtracted 3 from the result. I got 42. What was my number?
Answer:
45
Step-by-step explanation:
15 x 3 = 45 - 3 = 42
Help me please with this question
9514 1404 393
Answer:
21
Step-by-step explanation:
Let c represent the number of child tickets sold. Then 2c is the number of adult tickets sold. The total revenue is ...
5.80c +9.50(2c) = 520.80
24.80c = 520.80 . . . . . . . . . simplify
c = 21 . . . . . . . . . . . . . . divide by 24.80
21 child tickets were sold that day.
Find the length of the other two side of the isosceles right triangle
Answer:
The other two sides are 7 units each.
Step-by-step explanation:
The triangle is isosceles.
The sides are in the ratio of
[tex]x : x : x \sqrt{2}[/tex]
The hypotenuse is
[tex]7\sqrt{2}=x \sqrt{2}\\\\x = 7[/tex]
So, the other two sides are 7 units each.
At a local company, 15% of the employees are women. every day, 9% of them bring their lunch to work, while only 3% of the men bring lunch. Find the probability that a randomly selected employee
a. is a woman goven that the person brings their lunch to work.
b. brings their lunch to work given that person is a woman.
c. is a woman given that the person brings their lunch to work.
Answer:
a) 0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.
b) 0.09 = 9% probability that a randomly selected employee brings their lunch to work given that person is a woman.
c) 0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.
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.
Questions a/c:
Questions a and c are the same, so:
Event A: Brings lunch to work.
Event B: Is a woman.
Probability of a person bringing lunch to work:
9% of 15%(woman)
3% of 100 - 15 = 85%(man). So
[tex]P(A) = 0.09*0.15 + 0.03*0.85 = 0.039[/tex]
Probability of a person bringing lunch to work and being a woman:
9% of 15%, so:
[tex]P(A \cap B) = 0.09*0.15[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09*0.15}{0.039} = 0.3462[/tex]
0.3462 = 34.62% that a randomly selected employee is a woman given that the person brings their lunch to work.
Question b:
Event A: Woman
Event B: Brings lunch
15% of the employees are women.
This means that [tex]P(A) = 0.15[/tex]
Probability of a person bringing lunch to work and being a woman:
9% of 15%, so:
[tex]P(A \cap B) = 0.09*0.15[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09*0.15}{0.15} = 0.09[/tex]
0.09 = 9% probability that a randomly selected employee brings their lunch to work given that person is a woman.
Melinda takes out a loan to purchase a car. The balance on her loan after x months is represented by the equation y = 10,000 – 250x and the value of the car after x months is represented by y = 8,000 – 50x. Which statement describes when Melinda’s loan will be equal to the value of the car?
After 10 months, the loan and value of the car will both be equal to $7,500.
After 12 months, the loan and value of the car will both be equal to $7,000.
After 14 months, the loan and value of the car will both be equal to $6,500.
After 16 months, the loan and value of the car will both be equal to $6,000.
Answer:
Step-by-step explanation:
12 months
Answer:
12 months b on edg
Step-by-step explanation:
edg 2022
if 12 +2 =2 orderly what is 6 +3 orderly
Answer:
3
Step-by-step explanation:
Please Mark me brainliest
Answer:
aren't one of the numbers in the equations supposed to be negative?
calculate the effective yearly rate if an investment offers a nominal interest rate of 9.5% compounded quarterly
Answer:
9.725%
Step-by-step explanation:
(1.0475)^2 =1.09725
one year 2 periods 4.75% per period
.80 to the 8th power
Answer:
0.16777216
Step-by-step explanation:
(. 8)^8=0.16777216
Find x on this special right triangle
Answer:
the ans is 45⁰ BC it is a right angle
Step-by-step explanation:
Is this a trigonometry ratio
The picture shows the graphs of the movement of a pedestrian (B) and a bicyclist (A) . Using the graphs, answer the following questions:
How many times is the distance covered by the bicyclist for 1 hour greater than the distance covered by the pedestrian for the same amount of time?
Answer:
15km
Step-by-step explanation:
hope it is well understood?
Answer:
5 times.
Step-by-step explanation:
First, look at the values of each line at the 1-hour mark.
For line A (the bicyclist), the distance is about 25 km.
For line B (the pedestrian), the distance is about 5 km.
To determine how many times greater the bicyclist distance is than the pedestrian, divide the values:
[tex]\frac{25\text{km}}{5\text{km}}=5[/tex]
Therefore, the distance covered by the bicyclist for 1 hour is 5 times greater than the distance covered by the pedestrian for the same amount of time.
U looking for BRAINLIEST? I'll give it to the first person to get it right
What is the shape of the distribution shown below?
A: The distribution is skewed to the left.
B: The distribution is approximately symmetrical.
C: The distribution is skewed to the right.
Answer:
A: The distribution is skewed to the left.
Step-by-step explanation:
Skewness:
If the distribution has a long left tail, it is skewed to the left.
If it has a long right tail, it is skewed to the right.
Otherwise, it is approximately symmetrical.
In this question:
Lots of values on the start(left), few on the end(right), so it is skewed to the left, and the correct answer is given by option a.
Find the equation of the circle, if (4, -2)
and (2, 1) are the extremities of the
diameter.
Answer:
(x-3)^2+(y+1/2)^2=3.25
Step-by-step explanation:
The radius of the circle would be the midpoint of diameter. Radius is (3,-1/2) and the length would be 1.8.
Find the measure of the incanted angle to the nearest degree
Answer:
15.5⁰ or approximately 16⁰
Step-by-step explanation:
let unknown side be x
cos x= 53/55
cos x= 0.9636
x=cos inverse of 0.9636
x=15.5⁰
Answer:
[tex]cosx = \frac{53}{55} \\ x = {cos}^{ - 1} ( \frac{53}{55} ) \\ x = 15.4987[/tex]
HELP WITH 16 What is the value of X
Answer:
C - 136
(115+157)/2
Step-by-step explanation:
