According to​ Bayes' Theorem, the probability of event​ A, given that event B has​ occurred, is as follows.
Upper P left parenthesis Upper A vertical line Upper B right parenthesis equals StartFraction Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis Over Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis plus Upper P left parenthesis Upper A prime right parenthesis times Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis EndFraction
Use​ Bayes' Theorem to find Upper P left parenthesis Upper A vertical line Upper B right parenthesis using the probabilities shown below.
Upper P left parenthesis Upper A right parenthesis equals one fourth
​, Upper P left parenthesis Upper A prime right parenthesis equals three fourths
​, Upper P left parenthesis Upper B vertical line Upper A right parenthesis equals one tenth
​, and Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis equals one half

Answers

Answer 1

Answer:

0.0625

Step-by-step explanation:

Data

P(A) = 1/4P(A') = 3/4P(B|A)= 1/10P(B|A') = 1/2

The probability of event​ A, given that event B has​ occurred is computed with the following equation:

P(A|B) = [P(A)*P(B|A)]/[P(A)*P(B|A)+P(A')*P(B|A')]

Replacing with data:

P(A|B) = [1/4*1/10]/[1/4*1/10+3/4*1/2] = 0.0625

Answer 2

Answer:5.17%

Step-by-step explanation:


Related Questions

What is an equation of a circle with center (2, -1) that passes through the point (3, 4)?

Answers

Answer:

(x - 2)^2 + (y + 1)^2 =  26

Step-by-step explanation:

A circle with center O(2, -1) that passes through the point A(3, 4).

=> The radius of this circle is OA which could be calculated by:

OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]

The equation of a circle with center O(a, b) and radius r could be written as:

(x - a)^2 + (y - b)^2 = r^2

=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:

    (x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2

<=>(x - 2)^2 + (y + 1)^2 = 26

Hope this helps!

Answer:

(x-2)²+(y+1)²=26

Step-by-step explanation:

(x-2)²+(y+1)²=26

distance formula for radius

√(3-2)²+(4--1)² = √26

(x-h)²+(y-k)²=r²

What is the solution to this system of linear equations? 2x + 3y = 3 7x – 3y = 24 (2, 7) (3, –21) (3, –1) (9, 0)

Answers

2x +3y=3

7x-3y=24

solve the above equations

2x+3y=3

+7x-3y=24

9x=27

x=27/9

x=3

substitute the value of x in 2x+3y=3

2(3)+3y=3

6+3y=3

3y=3-6

3y=-3

y=-3/3

y=-1

so the solution is

{x=3,y=-1}

Answer:

C : (3, -1)

Step-by-step explanation:

Solve the following system of equations graphically.
x + y - 4 = 0
x - y = 0
The solution lies in quadrant _____.

I

II

III

IV

Answers

Step-by-step explanation:

work is shown and pictured

Which of the following represents 45 = 5 × 9?
A.
45 is 3 times as many as 15
B.
9 is 5 times as many as 45
C.
5 is 9 times as many as 45
D.
45 is 9 times as many as 5

Answers

Answer:

D 45 is 9 times as many as 5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

45 is 9 times as many as 5 is the answer because when you turn the equation 45=5*9 into words, it has three numbers 9, 5 and 45. 45 is the product of 9 and 5 and 9 and 5 are the numbers that must be multiplied to give the product 45.

Help Immediately! +10 points!
What is the surface area of the figure?
A. 12cm
B. 24cm
C. 28cm
D. 42 cm

Answers

Answer:

B: 24 cm

Step-by-step explanation:

The triangle is ((4*3)/2). The squares are 12 (3*4) and 6 (1.5*4)

Answer:

24 cm^2

Step-by-step explanation:

We can find the area of the figure, surface area is for three dimensional figures

The area of the triangle is

A = 1/2 bh

A = 1/2 (3) *4 = 6

The area of the top rectangle is

A = l*w = 3 * (8-4) = 3* 4 = 12

And the area of the bottom rectangle

A = l*w = 1.5 ( 8-4) = 1.5*4 =6

The total area is the sum of the individual areas

6+12+6 = 24

24 cm^2

Find measure of angle PRS pleaseee urgent!!

Answers

Answer:

142 degrees

Explanation:

First, you are going to estimate. You can quickly see that the angle is more than 90 degrees. The only option more than 90 degrees os 142 degrees.

Answer:

142

Step-by-step explanation:

Then plug it in

At 7pm, the temperature outside was -5 degree celsius. What does |-5| represent in this situation?

Answers

The number of degrees between 0 and -5 C

Step-by-step explanation:

Hi! It is not 1-5 is is the absolute value of -5. This would be 5 which is the number of degrees between 0 and -5.

Step-by-step explanation:

|-5| who’s absolute value is 5 is representing temp form 0 to -5

What is Temperature ?

Temperature is the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius

What is modulus?

The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5.

According to question

At 7pm, the temperature outside was -5

And |-5| = 5 (which is absolute value)

And represent count of temp from 0 to -5 .

Hence, |-5| who’s absolute value is 5 is representing temp form 0 to -5

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Help me ASAP please, I really want to finish this

Answers

Answer:

C. 1.5 ft

Step-by-step explanation:

Using the Pythagorean theorem:

[tex]x=\sqrt{3.9^2-3.6^2}=\sqrt{15.21-12.96}=\sqrt{2.25}=1.5[/tex]

Hope this helps!

I agree with the answer above it's 1.5 ft which is C.

:D

What is f(0)?
4
5
6
7

Answers

Answer with a Step-by-step explanation: We are given the table as:

x    f(x)

0     6

2      7

4      0

7      5

i.e. corresponding to different values of x we are given the values of f(x)

we have to find the value of f(0)

i.e. we have to find the value of f(x) when x=0

As we can see from the table the value of f(x) at x=0 is 6

Hence, Correct option is:

C) 6

Answer:

C.

Step-by-step explanation:

6


Convert 36 inches to feet. There are 12 inches in a foot.

Answers

Answer:

3 feet

Step-by-step explanation:

3 feet

Step by Step Explanation:
Since there are 12 inches in a foot you would divide 36 by 12 to get 3ft

the radius of a circle is 2 in. Find the circumference to the nearest tenth?(urgent)

Answers

Answer:

C = 12.6 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2* pi*r

Using 3.14 for pi and 2 for r

C = 2 * 3.14 *2

C =12.56

To the nearest tenth

C = 12.6 inches

Answer:

[tex] = 12.56 \: in[/tex]

Step-by-step explanation:

[tex]c = 2\pi \: r \\ = 2 \times \pi \times 2 \\ = 4 \times \pi \\ = 12.56 \: \: in[/tex]

hope this helps you

Identify the independent and dependent quantities in each problem solution then write a function to represent a problem situation :
Nathan is riding the scooter at a rate of 6 miles per hour​

Answers

Answer:

independent: riding the scooter

dependent: miles ridden

function: y=6x

Step-by-step explanation:

Answer:

independent: riding the scooter

dependent: miles ridden

function: y=6x

Step-by-step explanation:

An electrician charges $15 per hour and spends $30 a day on gasoline. At the
end of the day, he is left with $105. Represent his earnings for one day using
a mathematical statement if he works for "x" hours in a day.

Answers

15x - 30 = 105 is the mathematical statement

Please answer need help

Answers

Answer:

B 2/ 1/2

Step-by-step explanation:

becuase it points into the middle of 2 and 3

and thats how got B

hope this helps

2 Points
What is the slope of the line that contains the points in the table?
y
23
-5
-2
14
1
5
3
A. 3
B. -100
D. -3

Answers

Answer:

D. -3

Step-by-step explanation:

The table is:

x  |  y

-5 | 23

-2 | 14

 1 | 5

To find the slope, you need two points (x1, y1) and (x2, y2) and the next formula:

slope = (y2 - y1)/(x2 - x1)

Using (-2, 14) and (1, 5) (other combinations are also possible) the slope is:

slope = (5 - 14)/(1 - (-2)) = -3

pls help thus is due tmr pls help.​

Answers

Answer:

4. 30m; the coefficient is 30.

Step-by-step explanation:

According to wiki, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number. For example, 4x +7 has a coefficient of 4 and a variable of 'x'. The product of 6 and 5 is thirty and the product of 30 and 'm' is 30m.

John has $132.55 in his bank account. He wants to join a guitar class that charges a $15 fee every week. John plans to take the class for 12 weeks. If John pays for 12 weeks of guitar classes from his account, his account balance will be $.

Answers

Answer:

-47.45$

Step-by-step explanation:

B=132.55-15x

B=132.55-15*12

B=132.55-180

B=-47.45

-47.45$

As 12 weeks * 15$= 180
180$-132.55$= -47.45$

6. Jim received a total piecework paycheck of $291.81. He receives 71 cents per unit produced.
How many units did he produce?

Answers

He produced 411 units.

How did I get that?

Divide 291.81 by 0.71.

Answer:

411

Step-by-step explanation:

Take the total amount earned and divide by the price per piece to determine the number of pieces made

291.81/ .71 =411

He made 411 pieces


Match the function with the graph.
g(x) = -(x-6)
b
g(x) = -x + 6
a
c. g(x) = (x+6)
d. g(x) = -7° - 6
Please select the best answer from the choices provided

Answers

Can I see the graph?

Answer:

A) g(x)= -(x-6)^2

Step-by-step explanation:

The graph is of a parabola, so there must be a ^2

If you plug the equation into the graphing calculator it will graph it for you.

What is the best estimate of 11% of 448?

Answers

Answer:

49.28.

Step-by-step explanation:

11% = 10% + 1%

So 11% of 448 = 44.8 + 4.48

= 49.28.

The best estimate of 11% of 448 is 49.28.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred.

11% of 448 = 11 / 100 × 448 = 0.11 × 448

= 49.28

Hence, the best estimate of 11% of 448 is 49.28.

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Sue wants 1/2 of a rectangular pan of cornbread. Dena wants 1/3 of the same pan of cornbread. How should you cat the cornbread so that each of the girls gets the size portion she wants?

Answers

Answer:

in thirds so Dena gets 1/3 and Sue gets 2/3 which is half

Step-by-step explanation:

When you give an exact answer for the volume of a cylinder, you will always have ____ in the answer.

Answers

Answer:

Step-by-step explanation:

height

947/7 it is hard because it is confused

Answers

Answer:

135.2857142857143

Step-by-step explanation:

its right?

Answer:

7 x 1 = 1

9-7=2

7 x 3 = 21

24-21=3

7 x 5 = 35

37-35=2

135 remainder 2

Step-by-step explanation:

You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-2,-3),
(-2,4), (5,4) and (5,-3). Find the perimeter in yards and the area in square yards of the floor.

Answers

Answer:

Perimeter = 28 yards

Area = 49 square yards.

Step-by-step explanation:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).

Using distance formula, we get

[tex]AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7[/tex]

Similarly,

[tex]BC=\sqrt{(5-(-2))^2+(4-4)^2}=7[/tex]

[tex]CD=\sqrt{(5-5)^2+(4-(-3))^2}=7[/tex]

[tex]AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7[/tex]

It is conclude that, [tex]AB=BC=CD=AD[/tex].

From the given points it is clear that all sides lie on either vertical or horizontal lines.

Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.

Perimeter of square floor is

[tex]P=4a=4(7)=28\text{ yards}[/tex]

Area of square floor is

[tex]A=a^2=7^2=49\text{ sq. yards}[/tex]

Therefore, the perimeter is 28 yards and the area is 49 square yards.

someone please help me !!

Answers

Answer:

3<x<52

Step-by-step explanation:

0<2x-6<52

6<2x<52

3<x<52

Answer:

3 x 9

Step-by-step explanation:

3<x<9 . Just did this. Acellus is lame but better than normal school. Good luck with the rest im only on lesson 84

Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Select three options
rectangular prism
triangular prism
cylinder
cone
square pyramid
triangular pyramid
Mark this and return
Save and Exit
ext
Submit

Answers

Answer:

I think it might be A, B, and E but I am not 100% sure.

Step-by-step explanation:

The figures are rectangular prism, cylinder, and square pyramid.

What is the volume of a prism?

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

The volume of a prism is the product of its base area and height

Volume of Prism = B x h

where B = base area of prism

h = height of prism

Given data ,

The rectangular prism, cylinder, and square pyramid have rectangular cross sections when they are cut perpendicular to the base.

A rectangular prism has a rectangular cross section no matter where it is cut perpendicular to the base.

A cylinder has a circular base, but when it is cut perpendicular to the base, the cross section is a rectangle.

A square pyramid has a square base, and when it is cut perpendicular to the base, the cross section is also a rectangle.

A triangular prism has a triangular base, and when it is cut perpendicular to the base, the cross section is a triangle, not a rectangle.

A cone has a circular base, and when it is cut perpendicular to the base, the cross section is a circle, not a rectangle.

A triangular pyramid has a triangular base, and when it is cut perpendicular to the base, the cross section is a triangle, not a rectangle.

Hence , the three options that have rectangular cross sections when cut perpendicular to the base are: rectangular prism, cylinder, and square pyramid.

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What is the measure of ZY, in degrees?

Answers

there is no picture/reference to go off of

HELP!!
Determine if the triangles in the figure are congruent if so right the congruency statement and the reason the triangles are congruent explain your answer

Answers

Answer:

Yes

Step-by-step explanation:

Statement                                         Reason

ab = bd                                               Given

ac=cd                                                  Given

bc = cb                                                definiton of reflex line

triangle abc is congruent to triangle dbc      side side side postulate

Answer: It has been very long since I did geometry but, the triangles are definitely congruent.

Step-by-step explanation:

I do not know the congruency statement but I can tell you why. First of all, those red lines on the triangles indicate that two sides of both triangles are congruent to each other. Lastly, both of them share one line which means, all lines are congruent to each other.

∠ABC=∠DBC

I hope this helps :)

Help ASAP plz will give brainliest!!!

Answers

Answer:

3/4

Step-by-step explanation:

There are 8 outcomes and 6 of them are odd.

6/8 = 3/4

Thus probability is 3/4

Answer:

3/4

Step-by-step explanation:

No. of sections = 8

No. of odd numbers = 6

Probability of getting an odd no. = 6÷8 = 3/4

Can someone help me on these two questions?

Answers

Answer:

first is square and second in not rectangle I think it is trapezium

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