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
Find all real solutions of the equation.
x4/3 − 7x2/3 + 10 = 0
g(x) = -2x + 1
Find g(-7).
Answer:
g(-7) = -2(-7) + 1 = 15
Step-by-step explanation:
IS C THE CORRECT ONE, easy I’ll make BRAINLIEST
Answer:
yes it is
Step-by-step explanation:
Answer:
yeah
Step-by-step explanation:
Will give brainliest
Answer:
Only Figure 4
Step-by-step explanation:
A regular polygon has all congruent sides and angles. Only Figure 4 has these qualities.
Figure 1 doesn't have congruent angles.
Figure 2 doesn't either.
Figure 3 doesn't have a congruent sides.
find the missing values in the ratio table
Answer:
42 : 216 : 348 : 24Step-by-step explanation:
The number on the top line of the table is 14/7 = 2 times the number on the bottom line.
To find the bottom number, divide the top number by 2.
To find the top number, multiply the bottom number by 2.
The missing ratios are ...
42 : 21
6 : 3
48 : 24
Please answer the 2 questions I put. Please show your work in the answers.
On a school bus, 22 of the 40 students are in window seats. What percent of the students are in window seats?
Only 6 of the 75 trees in a park are at least 30 feet tall. What percent of the trees are under 30 feet tall?
Answer:
75% of what number is 24? 32. Yesterday, 8% of the 150 6th graders were late. How many 6th graders were late? ... On a school bus, 22 of the 40 students are in window seats. What percent of the students are at a window seat? 55%. Write as a fraction in simplest form. 0.8%. 1/125.
Step-by-step explanation:
NEED HELPPPPP, this is my last question
Answer:
C
Step-by-step explanation:
4x +1 =2x + 5
Need the answer please explain in detail because I’m writing a half page on how to solve it
Answer:
x=2
Step-by-step explanation:
4x+1=2x+5
-2x -2x
2x+1=5
-1 -1
2x=4
2x/2
4/2
x= 2
sorry I didn't explain better but here
the a
possible answers are 1/18
2/9
1/9
1/2
Answer:
1/18
Step-by-step explanation:
The spinner has 6 sections.
There are 2 vowels, A and U.
There is only one section with a K.
p(event) = (number of desired outcomes)/(total number of outcomes)
p(vowel) = 2/6 = 1/3
p(k) = 1/6
Each spin is an event. The two events are independent, so the probability of the two events is the product of the individual probabilities.
p(vowel, then K) = p(vowel) * p(k)
p(vowel, then K) = 1/3 * 1/6 = 1/18
Answer: 1/18
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
Which expression gives the distance between the points (4, 6) and (7,-3)?
O A. (4-7)2 + (6 - 3)
B. (4-7)2 + (6 +372
O C. _(4-7) + (6 +3)?
O D. 14 - 7)?+ (6 - 37²
SUBMIT
I think it's A not sure though
Calculate the distance (d) using the distance formula
The expression gives the distance between the points (4, 6) and (7,-3) is . √(4-7)² + (6 +3)²
The correct option is Option C.
What is Distance Formula?The formula for measuring distance is . Any two points in 2D space that have the coordinates (x₁, y₁) for the first point and (x₂, y₂) for the second point can be used in this way.
The Euclidean distance formula is another name for the formula used to calculate the separation between two points on a two-dimensional plane.
Given:
The points are (4, 6) and (7, -3) respectively.
Put points in the formula:
Formula: distance= √(x_2-x_1)²+(y_2-y_1)²
substituting we get,
√(4-7)² + (6 +3)²
, which is the required expression.
Hence, The expression gives the distance between the points (4, 6) and (7,-3) is . √(4-7)² + (6 +3)²
The correct option is Option C.
To know more about Distance Formula visit:
brainly.com/question/8283882
#SPJ7
Ana recycles a cookie tin use for storing school supplies. The tin is a rectangular prism with a length of 14 centimeters, a width of 10 centimeters,
and a height of 4 centimeters.
What is the length of the longest pencil that can fit inside the tin?
Answer:
f
Step-by-step explanation:
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
A company has recorded data on the weekly sales for its product (y) and the unit price of the competitor's product (x). The data resulting from a random sample of 7 weeks follows. Use Excel's Regression Tool to answer the following questions. Week Price Sales 1 .33 20 2 .25 14 3 .44 22 4 .40 21 5 .35 16 6 .39 19 7 .29 15 What is the estimated regression equation
Answer:
y = 41.603X + 3.582
Step-by-step explanation:
Given the data:
Week ___Price ____ Sales
1 _______.33 _______20
2 ______ .25 _______ 14
3 ______ .44 _______ 22
4 ______ .40 _______ 21
5 ______ .35 _______ 16
6 ______ .39 _______ 19
7 ______ .29 _______ 15
Using the linear regression calculator ; The regression equation obtained is :
y = 41.603X + 3.582
Where ;
y = sales (predicted variable)
x = price (predictor variable)
Slope = 41.603
Intercept = 3.582
Area of the Composite Figure:
in 2
llin
4in
15 in
Answer:
58.3 in^2
Step-by-step explanation:
The shape is made of a rectangle, a triangle and a semi-circle. We can find the area of each section and then add them together to get the area of the whole shape.
The area of a rectangle is length x width.
The length of the rectangle is 11 inches and the width is 4 inches
11 times 4 is 44
so the area of the rectangular section is 44 inches squared
To find the semi circle, I would find the area of a circle with an equal radius, and then divide that by 2.
The area of a circle is pi times the radius squared.
The radius here is 2 inches because it says diameter is 4 inches
2 squared is 4 and 4 times pi is ~12.6
So the area of the semi-circle section is ~6.3 inches squared
The area of a triangle is 1/2 base x height
Both the base and height of this triangle are 4 inches long (15-11=4)
so 1/2(4) times 4 is 8
so the area of the triangle section is 8 inches squared
Add them all together and you get 58.3 inches squared
Ophelia reads 104 pages in 2 hours, how many pages will she read in 3 hours? REMEMBER TO INCLUDE THE UNIT OF MEASURE (PAGES)
IN YOUR ANSWER.
eb9th
m 12:00
Your answer:
Answer:
156 pages.
Step-by-step explanation:
Ophelia's reading speed is 104 pages / 2 hours = 52 pages/hour. So in 3 hours she will have read 3 * 52 = 156 pages.
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
Helpppp me pls! What is the lenght of AC?
Step-by-step explanation:
Bc is also 20 answer is 400
A line has a slope of 5 and includes the points (1,t) and (3,2). What is the value of t?
Hello!
[tex]\large\boxed{t = -8}[/tex]
We can find the value of t using the slope formula:
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Plug in the given slope and coordinates into the appropriate places:
[tex]5 = \frac{2-t}{3-1}[/tex]
Simplify:
[tex]5 = \frac{2-t}{2}[/tex]
Multiply both sides by 2 to begin isolating for t. Simplify and solve for t:
[tex]5 * 2 = 2 - t\\\\10 = 2 - t\\\\8 = -t\\\\t = 8[/tex]
raynor earns $4 in rewards for every $75 he spends at the grocery store if he earned $44 in rewards last much did he spend at the store
Answer:824
Step-by-step explanation:
Answer:824
Step-by-step explanation:
HELP PLEASE URGENT TIMED
Answer:
A²
Step-by-step explanation:
What number does has an absolute value greater than 5
Answer:
anything above 5 i believe
Step-by-step explanation:
pretty sure or 10
Step-by-step explanation:
anything five up or -5 and up
9 1/4- 2 5/8 in simpilest form
Answer:19.625
Step-by-step explanation:
The four tables represent functions.
Which table represents a non-linear function?
For this question the answer is:
C.
-
I left photos of the answers to some other questions in the quiz.
-
Please give me brainliest, I helped you.
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.
How long would it take the money to triple in value, if it is continuously compounding at 18% ?
Answer:
therefore t = 1.0986122887 0.06 = 18.31 hence to the nearest year, it will it take 18 years for an investment to triple, if it is continuously compounded at 6 % per year.
Step-by-step explanation:
mr castle shares out 28 marbles between emily and as if in the ratio 3:1 how many marbles does each child get
Answer:
emily gets 21 marbles and the other child gets 7 marbles
Step-by-step explanation:
3+1=4
28/4=7
7*3=21
7*1=7
so the ratio between them is 21:7
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
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