Given P(A) = 0.56, P(B) = 0.45 and P(B|A) = 0.7, find the value of
P(A and B), rounding to the nearest thousandth, if necessary.

Answers

Answer 1

Answer:

P(A and B) = P(AnB)

Step-by-step explanation:

[tex]P( \frac{A}{B} ) = \frac{P(AnB)}{P(B)} \\from \: bayes \: theorem \\ P(AnB) = P(B) \times P( \frac{A}{B}) \\ = 0.45 \times 0.7 \\ = 0.315[/tex]

Answer 2

Answer: 0.392

Step-by-step explanation:

So P(A)xP(B|A)= P(AnB)

Plug in

0.56x0.7=0.392


Related Questions

the table below shows the meal cost and tip for the last 10 tables that a waiter served.

Answers

Can’t see the table:(

please someone help

Answers

Answer:

3 < y ≥ -3

Step-by-step explanation:

R = 3 < y ≥ -3

The line can't go beyond 3 and also cant be less than -3.

Sheldon made a deposit into an account that earns 8% simple interest. After 8 years Sheldon earns $800. What was his initial deposit?

Answers

Answer:

$1250

Step-by-step explanation:

Given data

Rate= 8%

Time= 8years

Simple interest= $800

Required

The principal P

We know that the expression for simple interest is given as

SI=PRT/100

substitute

800= P*8*8/100

cross multiply

800*100= 64P

80000=64P

divide both sides by 64

P= 80000/64

P=$1250

Hence the initial deposit was $1250

How do I get an IEP teacher? A 504 plan?

Answers

Answer:

To qualify for a 504 plan, a student needs to have “a physical or mental impairment that substantially limits one or more major life activities.” Life activities can include everyday activities like walking and breathing. But they can also include learning, concentrating, thinking, and communicating.

Step-by-step explanation:

yep

Answer: 504 plans are drafted by a team of specialists. review and compare.

Step-by-step explanation:

i hope this helped

Simplify the expression
-7(1+3x)

Answers

Answer:

-21x-7

Step-by-step explanation:

Find the mean of these numbers:

2, 3, 4, 5, 6, 7, 8, 9, 10, 11

a 6

b 7

c 6.5

d 7.5

Answers

Answer:

c. 6.5

Step-by-step explanation:

mean basically means average

2+3+4+5+6+7+8+9+10+11=65

65/10=6.5

Answer:
C. 6.5

All of the numbers added up equal 65. Then you divide 65 by the total number of choices which is 10. 65 divided by 10 equals 6.5.

FIND THE THE
MISSING ANGLE:
31°
29

Answers

Answer:

120°

Step-by-step explanation:

31 + 29 = 60

180 - 60 = 120

42.44 I believe is the answer

HURRY PLEASE I NEED THIS NOW

Answers

Answer:

72

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

25-7=18

18÷25=0.72×100=72

what is the range 2 7 7 5 3 4 3

Answers

Answer:

The range is 5

Step-by-step explanation:

7-2=5

Solve ? I need your helpppppp

Answers

Answer:

square = 8

triangle = 3

circle = 2

Step-by-step explanation:

triangle + triangle = 6, one triangle = 3

triangle + circle = 5, circle = 5 - 3 = 2

square + circle = 10, square = 8

I need help with these questions! My teacher didn’t teach me how to do these-

Answers

Answer:

Graph A has infinite solutions, Graph B has one solution, and Graph C has no solutions

Step-by-step explanation:

Two tangents PQ and PR are drawn to a circle with center o from an external point P. prove that
Angle QPR = 2 angle OQR

Answers

Answer:

Refer the digram & explanation.

Step-by-step explanation:

GIVEN :-

Tangents PQ & PR drawn to a circle with center O from an external point P.

TO PROVE :-

∠QPR = 2∠OQR

CONSTRUCTION :-

QR joined.

FACTS TO KNOW BEFORE SOLVING :-

(Angle at which tangents are inclined to each other from the external point) + (Angle the tangents subtend at the center of the circle) = 180°.

PROCEDURE :-

∠QPR + ∠QOR = 180°

⇒ ∠QOR = 180° - ∠QPR

In ΔQOR , OQ = OR (∵ Radii of the circle are equal)

⇒ ΔQOR is an isosceles triangle (∵ OQ = OR i.e. two sides of the triangle are equal.)

⇒ ∠OQR = ∠ORQ (∵ In an isosceles triangle , the base angles are equal)

So,

∠QOR + ∠OQR + ∠ORQ = 180°

⇒ ∠QOR + 2∠OQR = 180°  (∵ ∠OQR = ∠ORQ)

⇒ 180° - ∠QPR = 180° - 2∠OQR  (∵ ∠QPR + ∠QOR = 180°)

⇒ -∠QPR = -2∠OQR  (∵ Cancelling 180° from both the sides.)

∠QPR = 2∠OQR (Proved)

Malia and Omar want to find the shortest route from their school to a local burger

hangout. The length of Route A is 1.5 times the length of Route B and ¾ the

length of Route C. If Route C is 3 kilometers long, then Route A is how many

kilometers longer than Route B?

Answers

Answer:

Route A is 0.75 km longer than route B.

Step-by-step explanation:

Length of route A is 1.5 times the length of route B.

a = 1.5b

[tex]\frac{a}{b}=\frac{15}{10}[/tex]

[tex]\frac{a}{b}=\frac{3}{2}[/tex] --------(1)

Here, a = Length of route A

b = Length of route B

Length of route A is [tex]\frac{3}{4}[/tex] of route C.

a = [tex]\frac{3}{4}c[/tex]

[tex]\frac{a}{c}=\frac{3}{4}[/tex] ------(2)

Here, c = Length of route C

Length of route C = 3 km

Length of route A = [tex]\frac{3}{4}\times 3[/tex] [From equation (2)]

                             = 2.25 km

Length of route B = [tex]\frac{2}{3}\times 2.25[/tex] [From equation (1)]

                             = 1.5 km

Difference in route A and route B = 2.25 - 1.5

                                                       = 0.75 km

Therefore, route A is 0.75 km longer than route B.

Express in y=mx+b
3x-2y=8

Answers

When rearranged in the format “y = mx + b,” the correct equation would be 2y = -3x - 8.

A triangle is formed by A (0,1), B(1,0) and C (2,4). which transformation could map point A to point F (0,-1)?
A.Reflection over X axis
B.Rotation 90° clockwise
C.Reflection over Y axis
D. translation down 1 unit

Answers

Answer:

Answer A: Reflection over x axis

Answer:

C. Reflection over x-axis

Step-by-step explanation:

Each time you reflect something over the x-axis, the x-coordinate stays the same, but the y-coordinate changes.

linear relationships​

Answers

Answer:

there's not a question

Step-by-step explanation:

find the center and radius of this circle

Answers

Answer:

Center: (-13, -2)     radius = 9

Step-by-step explanation:

Center: (-13, -2)     radius = 9

Could someone please help me with this homework assignment?


Il pay 40 or more if u show work?...

Send me a msg

Answers

Answer:

1. $27.30 2. $48.00 3. $15.75 4. $24.20 5. $31.00 6. $40.80

Step-by-step explanation:

1. $13.00 + (1.10)($13.00)

= $ 27.30

2. $60.00 - $60.00(0.20)

= $48.00

3. $15.00 + $15.00(0.05)

= $15.75

4. $22.00 + $22.00(0.10)

= $24.20

5. $25.00(0.06) + $25.00(0.18) + $25.00

= $31.00

6. $32.00(0.075) + $32.00(0.20) + $32.00

= $40.80

Hope this helped :)

The graphs of y = 4x and y = 4x are shown below.



In general, how does the growth of y = 4x compare to the growth of y = 4x?
The function y = 4x is growing slower than y = 4x.
The function y = 4x is growing faster than y = 4x.
The functions y = 4x and y = 4x are growing at the same rate.
The function y = 4x is growing faster than y = 4x.

Answers

For this case we have the following functions:

y = 4x

y = 4 ^ x

We observed that :

The graph y = 4 ^ x is growing faster than y = 4x, because for smaller values of x, it has the same range as y = 4x.

Answer:

The graph y = 4 ^ x is growing faster than y = 4x

answer is b

Answer:

B is your answer

Step-by-step explanation:

just took on edge 2021

Can someone please help me with my test

Answers

Answer:

1 C

2 G

Step-by-step explanation:

that my answer that I chose but I don't know if it's right




















Answers

Yes your correct! hope this helped :))

The display below shows the number of home runs hit by six of the players on the Cardinals baseball team.
Cardinals Home Runs
Home Runs Hit
Player
Andrew
Braden
Chester
Dylan
Evan
Freddy
Legend:
represents 4 home runs
Plzzz hurry

Answers

Answer:

8

Step-by-step explanation:

If each baseball= 4 homeruns, and Chester has 5 baseballs next to his name (20 homeruns), then Evan hit 12 home runs because 4*3= 12 and he has 3 baseballs next to his name.

20-12=8


Find in the triangle. Round to the nearest degree.
a.
45°
C. 60°
b. 59°
d. 42°

Answers

Answer:

Theta = 59 degrees

Step-by-step explanation:

Here, we want to get the value of the marked angle

To do this, we use the appropriate trigonometric ratio

From what we have,

The side 42 ft is adjacent the angle given

The side facing the right angle is 82 ft

The trigonometric ratio that connects the adjacent and the hypotenuse is cosine. It is the ratio of the adjacent to the hypotenuse

Cos theta = 42/82

theta = cos^-1 0.5122

theta= 59.189

To the nearest degrees, this is 59 degrees


Plz help giving branliest

Answers

Answer:

I believe the answer is '22.82' which would then become '22.8' when rounded to the nearest tenth.

PS: I hope this helps.

a diagram is shown, with angels labeled in degrees complete the sentences about the diagram

Answers

Answer:

Equation: 5x = 90

x = 18

<LNM = 54degrees

Step-by-step explanation:

From the diagram shown;

<JNK + <KNL + <LNM = 90

x + x + 3x = 90

5x = 90

x = 90/5

x = 18

The equation 5x = 90 can be used to solve for x

Get <LNM = 3x

<LNM = 3(18)

<LNM = 54 degrees

Type the missing number in this sequence:

6, 36, 216,
, 7,776, 46,656

Answers

Answer:

1,296

Step-by-step explanation:

The answer is 1,296 because the numbers are going in the order of powers:

6^1 = 6

6^2 = 36

6^3 = 216

6^5 = 7,776

6^6 = 46,656

The power that is missing is 6 to the 4th power, which, when calculated, would be 1,296.

So, the answer would be 1,296

44444t4444444t44t444

Answers

Answer:

two

Step-by-step explanation:

its really easy if u think abt it

Answer:

infinitely many

Step-by-step explanation:

y=0 is right on the x-axis, so therefore there would be infinitely many             x-intercepts because they are on the x-axis.

8x+5 with an explanation

Answers

Answer:

8x+5

Step-by-step explanation:

it would be 8x+5.

this is because 8x and 5 are not like terms so they cannot be collected which means that the answer is 8x+5

The answer is 8x + 5. & the explanation is what the people said above me !

Four points are labeled on the number line. K L M N + 0.5 0 Which point best represents ? colm ? Point 2 Point M Point K Point N​

Answers

Answer:

point k and point n

K L M N

Step-by-step explanation:

Make A the subject of the formula
r=√A/3

Answers

Answer:

A = 9r^2

Step-by-step explanation:

r=√A/3

multiply both sides by 3

3r = √A

Square both sides

3^2 * r^2 = A

9r^2 = A

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