Answer:
[tex]Probability = 0.56[/tex]
Step-by-step explanation:
Represent the probability that Alice does well with P(A), the probability that Bob does well with P(B).
So, we have:
[tex]P(A) = 0.8[/tex]
[tex]P(B) = 0.4[/tex]
Required
Determine the probability that only one of them do well
This event is represented as: (A and B') or (B and A')
Where B' means Bob does not perform well and A' means Alice does not perform well.
And:
[tex]P(B') = 1 - P(B)[/tex]
[tex]P(A') = 1 - P(A)[/tex]
So, the probability becomes:
[tex]Probability = P(A\ and\ B')\ or\ P(B\ and\ A')[/tex]
[tex]Probability = P(A) * P(B')\ +\ P(B)*P(A')[/tex]
[tex]Probability = P(A) * (1-P(B)) +\ P(B)*(1-P(A))[/tex]
[tex]Probability = 0.8 * (1-0.4) +\ 0.4*(1-0.8)[/tex]
[tex]Probability = 0.8 * 0.6 +\ 0.4*0.2[/tex]
[tex]Probability = 0.48 + 0.08[/tex]
[tex]Probability = 0.56[/tex]
Hence, the required probability is 0.56
what is the volume of the retanguler prism shown below
Answer:
18 3/64
Step-by-step explanation:
what is the range of the data below 33, 38, 35.5,39.25, 31.75
Answer:
1.25
Step-by-step explanation:
Answer:
7.5
Step-by-step explanation:
you put all numbers from least to greatest then you get the small nd big number nd subtract them
31.75, 33, 35.5, 38, 39.25
39.25 - 31.75 = 7.5
Car repairs: Let be the event that a new car requires engine work under warranty and let be the event that the car requires transmission work under warranty. Suppose that ,P(E) = 0.10 , P(T) = 0.02 and P(E,T) = 0.01 .
(a) Find the probability that the car needs work on either the engine, the transmission, or both.
(b) Find the probability that the car needs no work on the engine.
Answer:
a) 0.11 = 11% probability that the car needs work on either the engine, the transmission, or both.
b) 0.9 = 90% probability that the car needs no work on the engine.
Step-by-step explanation:
P(E) = 0.10 , P(T) = 0.02 and P(E,T) = 0.01 .
This means that:
Only engine: 0.1 - 0.01 = 0.09
Only transmission: 0.02 - 0.01 = 0.01
Both engine and transmission: 0.01
(a) Find the probability that the car needs work on either the engine, the transmission, or both.
0.09 + 0.01 + 0.01 = 0.11
0.11 = 11% probability that the car needs work on either the engine, the transmission, or both.
(b) Find the probability that the car needs no work on the engine.
Probability of needing work on engine:
0.09 + 0.01 = 0.1
Not needing:
1 - 0.1 = 0.9
0.9 = 90% probability that the car needs no work on the engine.
Arrange these in increasing order
Answer:
so least to greatest? 1/4 1/3 1/2
Answer:
1/4, 1/3, 1/2
Step-by-step explanation:
TRY IT Solve and support your thinking
A grasshopper weighs of an ounce. A beetle weighs
of an ounce. Which weighs more?
100
10
Answer:
45 hihihihihihihihihihihihih
Step-by-step explanation:
Answer:
Your answer doesnt say how much the beetle wighs, probably the grasshopper though
Step-by-step explanation:
Two athletes practice for a marathon by running back and forth on an 11-mile course. They start running simultaneously, one at a speed 2 mph faster than the other's speed. How fast does each run if they meet 1 hour 6 minutes after starting? (The faster runner is already returning at this point.) How far from the starting point do the runners meet?
Answer:
Faster runner speed: 11 mph
Slower runner speed: 9 mph
Distance from starting point: 9.9 miles
Step-by-step explanation:
Let the slower runner speed be: x
Faster runner speed: x+2
1 hour 6 minutes = 1.1 hours
Slower: 1.1(x) = 1.1x miles
Faster: 1.1(x+2) = 1.1x+2.2 miles
This means that the faster runner had gone 2.2 miles more than the slower runner.
1.1x + 2.2 > 11 miles (This is true as we know the faster runner is coming back from the 11 mile run)
1.1x > 11 - 2.2 miles
1.1x > 8.8 miles
x > 8.8 / 2.2 miles
x > 8 mph
1.1x < 11 miles (we know this is true as the slower runner has to have gone less than 11 miles as the faster runner met him on his way back)
x < 11 / 1.1 miles
x < 10 miles
8 < x < 10
Although x could be any number including decimal between 8 and 10, the obvious first answer would be 9. However we need to check if this answer is correct.
Slower runner distance to the end:
1.1(9) = 9.9 miles
11 - 9.9 = 1.1 miles
Faster runners distance from the end (when coming back)
1.1(9+2) = 1.1(11) = 12.1 miles
12.1 - 11 = 1.1 miles
The speeds 9 mph and 11 mph are now proven to be the right speeds. Using our equation before, we can figure out the distance from the starting point that they meet at. This is just how far the slower runner has gotten. So, 1.1(9) = 9.9 miles from the starting point
Joan had a difference of opinion with her boss and hence quit her job. She is now on the lookout for another suitable job. What type of unemployment is Joan experiencing?
A.
cyclical unemployment
B.
frictional unemployment
C.
structural unemployment
D.
seasonal unemployment
Answer:
frictional unemployment
Answer:
B.
Step-by-step explanation:
because Joan is serching for a new job
What two numbers have a product of -36 and a sum of
5?
Answer: 9, -4
Step-by-step explanation:
We can write an equation:
xy=-36
x+y=5
Factors of -36 are: 1, -36, -1, 36, 2, -13, -2, 13, 4, -9, -9, 4, 6, -6
There are only 2 factors here that add up to -36: 9 and -4
Together, Rahman and Elissa have 120 DVDs. Rahman's collection has 5 times as many DVDs as Elissa's collection. Which
equation can be used to determine the number of DVDs in Elissa's collection?
Answer:
B
Step-by-step explanation:
rahman's collection represents the 5x and Elissa's represents the singluar x. Rahman has five times as many as Elissa, 5x is five timas as big as x. this means x=20. Rahman has 5x20=100 DVDs and Elissa has just 20.
Which numbers are irrational?
Select each correct answer.
15−−√
21−−√
−9√
14√
Answer:
Step-by-step explanation:
square root of 15 is 3.8=irrational
square root of 21 is 4.58=irrational
square root of -9 is doesn't have a real square root
square root of 14 is 3.7 =irrational
Three books cost $18.75. How much would 8 books cost? Just type the number.
Answer:
$50.00
Step-by-step explanation:
18.75/3 x 8=50
HELP ASAP AGAIN!!
It rained 10% of the 30 days last month. On how many days did it rain.
Answers
3
10
15
27
Answer:
10 days
Step-by-step explanation:
10 is 10% of 30
Market researchers selected a random sample of people from region A and a random sample of people from region B. The researchers asked the people in the samples whether they had tried a new product. The difference between the sample proportions (B minus A) of people in the regions who indicated they had tried the new product was 0.15. Under the assumption that all conditions for inference were met, a hypothesis test was conducted with the alternative hypothesis being that the population proportion of B is greater than that of A. The p-value of the test was 0.34.
Which of the following is the correct interpretation of the p -value?
a. If the difference in proportions of people who have tried the new product between the two populations is actually 0.15, the probability of observing that difference is 0.34.
b. If the difference in proportions of people who have tried the new product between the two populations is actually 0.34, the probability of observing that difference is 0.15.
c. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.
d. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at most 0.15 is 0.34.
e. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference equal to 0.15 is 0.34.
Answer:
C) If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.
Step-by-step explanation:
The direction of the test is to the right of 0.15, because the researchers hypothesize that the proportion in region B is greater than the proportion in region A. The p-value is the probability of observing a sample difference of at least 0.15 if the null hypothesis is true.
You can use the fact that the p-value denotes the probability of the area to the right of the test statistic and symmetrically to the left(if the test is two tailed, else its just on the right tail)
The option that is the correct interpretation of the p-value is:
Option c. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34
What does p value shows in the hypothesis testing?A p value helps us to decide whether to accept or reject the null hypothesis. If the obtained p value is smaller than the level of significance, then we reject the null hypothesis else we accept it.
The p value shows the area to the right of the test statistic(in the right tail after the plot of test statistic on the x axis)
It shows both right and left tail symmetrically if the test is two tailed.
Since the test statistic is difference between the sample proportions and the alternate hypothesis is testing if the difference is greater than 0.15 or not. Thus, it is single tailed test.
Due to this, the p value is showing if the test statistic is 0.15 or to the right which is higher that 0.15 thus, p value is showing the probability that the test statistic is at least 0.15 is given by 0.34
Thus,
Option c. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.
Learn more about p value here:
https://brainly.com/question/16313918
The prior probabilities for events A1, A2, and A3 are P(A1) = 0.50, P(A2) = 0.20, and P(A3) = 0.30. The conditional probabilities of event B given A1, A2, and A3 are P(B | A1) = 0.50, P(B | A2) = 0.40, and P(B | A3) = 0.20. (Assume that A1, A2, and A3 are mutually exclusive events whose union is the entire sample space.)
Required:
Compute P(B â© A1), P(B â© A2), and P(B â© A3).
Answer:
P( B∩ A₁ ) = 0.25
P( B∩ A₂ ) = 0.08
P( B∩ A₃ ) = 0.06
Step-by-step explanation:
As we know that
P( B∩ A₁ ) = P( B| A₁) × P(A₁)
P( B∩ A₂ ) = P( B| A₂) × P(A₂)
P( B∩ A₃ ) = P( B| A₃) × P(A₃)
As we have
P(A₁) = 0.50, P(A₂) = 0.20, and P(A₃) = 0.30.
P(B | A₁) = 0.50, P(B | A₂) = 0.40, and P(B | A₃) = 0.20
⇒P( B∩ A₁ ) = P( B| A₁) × P(A₁)
= 0.50(0.50)
= 0.25
⇒P( B∩ A₁ ) = 0.25
Now,
⇒P( B∩ A₂ ) = P( B| A₂) × P(A₂)
= 0.40(0.20)
= 0.08
⇒P( B∩ A₂ ) = 0.08
Now,
⇒P( B∩ A₃ ) = P( B| A₃) × P(A₃)
= 0.20(0.30)
= 0.06
⇒P( B∩ A₃ ) = 0.06
∴ we get
P( B∩ A₁ ) = 0.25
P( B∩ A₂ ) = 0.08
P( B∩ A₃ ) = 0.06
Point B has coordinates (4,2). The x-coordinate of point A is 1. The distance between point A and point B is 5 units. What are the possible coordinates of point A?
Answer:
5.8 and 7.4
Step-by-step explanation:
g(x) = -2x + 1
Find g(-7).
Answer:
g(-7) = -2(-7) + 1 = 15
Step-by-step explanation:
9 1/4- 2 5/8 in simpilest form
Answer:19.625
Step-by-step explanation:
how do i graph y=1/2x+3
Find Linear Functions using Graphs: y = 6x - 4
Answer:
[tex]x=\frac{y+4}{6}[/tex]
Step-by-step explanation:
y=6x−4
Swap sides so that all variable terms are on the left hand side.
6x−4=y
Add 4 to both sides.
6x=y+4
Divide both sides by 6.
[tex]\frac{6x}{6}=\frac{y+4}{6}[/tex]
Dividing by 6 undoes the multiplication by 6.
[tex]x=\frac{y+4}{6}[/tex]
Divide y+4 by 6.
[tex]x=\frac{y}{6} +\frac{2}{3}[/tex]
ANSWER:
x=1/6y + 2/3
y= 6x - 4
HELP PLEASE URGENT TIMED
Answer:
A²
Step-by-step explanation:
NEED HELPPPPP, this is my last question
Answer:
C
Step-by-step explanation:
Exit
11-02: Reteaching, Practice, & Digital Quick Check
Which set contains only prime numbers?
A. 1, 3,6
B. 2, 4,7
C. 3, 5, 7
e
D. 4, 8, 10
Please help I don't get this question
Answer:
10x+30
Step-by-step explanation:
Using distributive property, we have to take the x and 3 out of the parenthesis and simplify the equation.
10(x+3)
We can write this equation out as...
10 · x + 10 · 3
since 10 · x is 10x and 10 · 3 is 30 we can rewrite the simplified version as...
10x+30
Hope this Helps!!! :)
Answer:
A = 10x + 30
10 x X = 10x 10 x 3 = 30 10x + 30
please help PLEASE help
Answer:
Your answer would be 4
Step-by-step explanation:
Convert the 4 3/4 into a decimal, 4.75.
First, you must multiply 5 and -3.5 together. Then you add everything on top together.
Divide the fraction
Answer:
F. 4
Explanation:
(5(-3.5)+4(3/4)-3.25) / -4 = 4
Please help me solve!-
Amy completed a 75-mile
bicycle race in 5 hours. After the race, she realized that the air pressure in her tires was low which slowed her down by an average of 2 miles per hour. She wants to solve the equation to find r, her average speed in miles per hour with properly inflated tires .
5(r - 2) = 75
I need help with this.
Answer:
Hypotenuse equals 6 and Y (longer leg) equals 3 square root of 3
Step-by-step explanation:
According to the 30-60-90 triangle rule, The hypotenuse is always 2 times greater than the shortest leg, and the longer leg is always the square root of 3 tie greater than the shortest leg.
HELP PLEASE URGENT TIMED
Answer:
9 with an exponent of negative 15
Step-by-step explanation:
9-¹⁵
please help will mark brainllyist !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answer:
448 units^2
Step-by-step explanation:
You need to find the area of each of the faces
1/2 * (7*24) = 84
1/2 * (7*24) = 84
5 * 25 = 125
5 * 24 = 120
5 * 7 = 35
Now add all these
448
Nathan has a bicycle where the wheels are have a 13 inch radius. He makes two revolutions. How far did he
travel?
Answer:
163.28 inches
Step-by-step explanation:
Find the circumference:
2π r
2 X 3.14 X 13
6.28 X 13
=81.64 inches.
81.64 X 2 =163.28 inches
When I shoot my shots I make sure they hit.
You’d be lying if you said they don’t no
But when the pandemic began, I stooped so low to post my boring life on brainly