Zayn knows that during the month of April, the probability that it is windy on his way to work is 0.5, the probability that it rains on his way to work is 0.7 and the probability that it is both windy and raining on his way to work is 0.3.

Work out:
the probability it is windy, given that it is raining

the probability it is raining, given that it is windy.

Answers

Answer 1

Step-by-step explanation:

the probability it is windy, given that it is raining = p(w|r)=p(wπr)/p(r) =0.3/0.7 =3/7= 0.429

the probability it is raining, given that it is windy.

p(r|w)=p(wπr)/p(w) =0.3/0.5 =3/5 = 0.6


Related Questions

Use the graph that shows the solution to f(x)=g(x).

f(x)=−(x+2)(x−2)

g(x)=2|x+2|



What is the solution to f(x)=g(x)?

Select each correct answer.




−2

0

2

4

Answers

Answer:

  -2, 0

Step-by-step explanation:

The solution(s) to f(x) = g(x) are the x-coordinates of the points where the graphs intersect. The points of intersection of these graphs are ...

  (-2, 0) and (0, 4)

The x-coordinates of these points are -2 and 0.

The solutions to f(x) = g(x) are x=-2 and x=0.

Answer:

The answer is -2 and 0

Step-by-step explanation:

it was confirmed to be correct

factorise and divide
3^ 2 (2 ^2 − 14 + 24) ÷ 6 (x − 4)
who willbdo this will be branliestband i will follow ​

Answers

9( 4-14+24) divide 6x-24 equal 9(34) divide 6x-24 equal 306 divide 6x-24 divide all by 6 so the result is equal 51 = x - 4 so x = 55

A cylinder has radius 2.5 meters. its volume is 50pi meters. Find its height.

Answers

Answer :

8 meters .

Explanation :

The volume of the cylinder is 50π cubic meters.The cylinder has radius 2.5 meters.

To Find :

The height of the cylinder.

Solution :

We know,

[tex]{ \longrightarrow\qquad \bf\pi {r}^{2}h = \bf{Volume_{(cylinder) } }}[/tex]

Where,

r is the radius of the cylinder.

h is the height of the cylinder.

Now, Substituting the values :

[tex]{ \longrightarrow\qquad \sf\pi \times {(2.5)}^{2} \times h = {50 \pi } }[/tex]

[tex]{ \longrightarrow\qquad \sf\pi \times 6.25 \times h = {50 \pi } }[/tex]

Cancelling π from both sides :

[tex]{ \longrightarrow\qquad \sf \cancel\pi \times 6.25 \times h = {50 \: \cancel \pi } }[/tex]

[tex]{ \longrightarrow\qquad \sf 6.25 \times h = {50 } }[/tex]

[tex]{ \longrightarrow\qquad \sf h = { \dfrac{50}{6.25} } }[/tex]

[tex]{ \longrightarrow\qquad {\pmb {\bf{h = {8 } }}}}[/tex]

Therefore,

The height of the cylinder is 8 meters .

John 450 words in half an hour. How many words would he type in 7 minutes?

Answers

Answer:

that is the correct answer

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Roses: 6

Daisies: 15 - 6

= 9

The ratio of all flowers to all rose flowers.

15:9

The ratio of roses to daisies.

6:9

2:3 (simplified)

If suzannah's budget limit is 0.10 per month, how many text messages can she send per month

Answers

Answer:

How much is her phone bill? There is not enough information for me to solve this. Not even answer choices.

Help me I need this withing 3 hours

Answers

Answer:

a. min: 6 1/2 max: 13 median: 8 1/50 range: 6 1/2 mode: 8

b. min: 8 1/2 max: 11 1/2 median: 9 7/10 range: 3 mode: 9 1/4

Step-by-step explanation:

FOR 21 POINTS

A triangle has an angle measuring 90°, an angle measuring 20°, and a side that is 6 units long. The 6-unit side is in between the 90° and 20° angles.


How many unique triangles can you draw like this?

Answers

Answer:

One

Step-by-step explanation:

     Since we have a 90° angle and a 20° angle, the last angle must be 70°.

180° - 90° - 20° = 70°

     Now we also have the requirement of a 6-unit side between the 90° and 20° angles.

     With all of these requirements, we can only draw one triangle like this since we have an angle, an angle, a required third angle, and a side.

Line 1 passes through points ( 4 , − 4 ) and ( 8 , − 3 ) while line 2 passes through points ( 1 , − 6 ) and ( − 1 , 2 ). Determine whether the lines are parallel, perpendicular, or neither.

Answers

[tex]\stackrel{\textit{\Large line 1}}{(\stackrel{x_1}{4}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-3})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{4}}}\implies \cfrac{-3+4}{4}\implies \boxed{\cfrac{1}{4}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{\Large line 2}}{(\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{2})} \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{1}}}\implies \cfrac{2+6}{-2}\implies \cfrac{8}{-2}\implies \boxed{-4}[/tex]

keeping in mind that parallel lines have exactly the same slope, let's check for the slopes hmmm nope, they're not equal, so the lines are not parallel.

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slopes hmmm

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{1}\implies -4}}[/tex]

low and behold, Line 2 has a slope that is negative reciprocal to the slope of Line 1, thus, they're indeed perpendicular.

What is the midpoint of CD?
5
4
3
2+
O
1
ㅇ [1]
( )
54 -3 -2 -11
X
1 2 3 4 5
D(4-1)
-2
C(-3,4)

Answers

Answer:

See below.  (0.5,1.5)

Step-by-step explanation:

I can't make out most of the question.  What is:

5

4

3

2+

O

1

ㅇ [1]

( )

54 -3 -2 -11

X

1 2 3 4 5

?????

=====

I do see D(4-1) and C(-3,4).  The question asks what is the midpoint.  That would be point M, with a coordinate of (0.5,1.5), which is derived from the average of the two points:  x: (4-3)/2 = 0.5; y: (-1+4)/2) = 1.5

See the attached image for how the points relate to each other.  I derived an equation for the point to illustrate where the midpoint, M, is situated.

=============================

Slope = Rise/Run

Rise:   (-1 - 4) = -5

Run:    (4 - (-3)) =  7

Slope = -(5/7)

Equation for the line is y = -(5/7)x + 1.9

Which shows the products ordered from least to greatest?
57
x 564
57
101
X 564
102
29
x 564
27
101
x 564
102
57
x 564
57
29
x 564
27
101
x 564
102
29
x 564
27
57
x 564
57
29
x 564
27
57
x 564
57
101
x 564
102

Answers

Answer:

101 divide by 102 multiply by 564

1000 sheets of computer paper for $8.95 find unit rate

Answers

Answer:

The answer is 2.5

Step-by-step explanation:

plus the sum of 1000

Answer: 0.895%

Explanation:

8.95/1000 = 0.895 or 0.00895

Elena drove a total of 203 miles last week. She drove 28 miles during the week to run errands and 35 miles each day to go to work and back. What equation can be used to find the number of days, d, that Elena drove to work last week?

Answers

Answer:

ok so the equation will be

35d+28=203

-28

35d=175

divide by 35

d=5

she drove to work 5 times

Hope This Helps!!!

Your equation is “28+35d=203”
28-203=175
175/35=5
She drove to work 5 days

or Jake is admiring a statue in Cedarburg Park from 8 meters away. If the distance between the top of the statue to Jake's head is 10 meters, how much taller is the statue than Jake?

Answers

Answer:

Step-by-step explanation:
Jake
is 5 feet tall. The distance from the flagpole to Jake is 28 feet and the distance between the tip of the shadows and jake is 7 feet.

What is the ratio of rise to run between the points (-10, 9) and (6, 5)? A. B. 4 C. D. -4

Answers

The ratio of rise to run, which is the slope between the two points is: -1/4.

What is the Slope between Two Points?

Slope = ratio of rise to run = change in y/change in x

Given the following points:

(-10, 9) and (6, 5)

Rise = (5 - 9) = -4

Run = (6 -(-10)) = 16

Ratio of rise to run = slope = -4/16 = -1/4.

Therefore, the ratio of rise to run, which is the slope between the two points is: -1/4.

Learn more about slope on:

https://brainly.com/question/3493733

Answer:

-1/4.

Step-by-step explanation:

Took the quiz and it was correct. Hope this helps.

Please help and show working

A car traveled 281 miles in 4 hours 41 minutes. What was the average speed of the car in miles per hour?

Answers

Answer:

64m/h

Step-by-step explanation:

t (time) = d (distance) /v (speed)

t = 281/4.41

t = 63.7

What is the value of x?
x
21.5
13.1
Round your final answer to the nearest tenth.
Use the Pythagorean theorem

Answers

Answer

x=37.8

Step-by-step explanation:

According to Pythagoras theorem

AB = 21.5

BC = 13.1

AC = ?

AC²= AB²+BC²

x² =(21.5)²+(13.1)²

x² =462.25+967.21

x² =1429.46

x =√1429.46

x =37.8

What is the measure of angle B in the triangle?
this triangle is not drawn to scale ​

Answers

[Figured it out themselves (see comments), just putting this here so it stops showing up as unanswered]

If 1 measures 135°, what is the measure of 6? (Lines b and c are parallel.)
65°
45°
135°
90°

Answers

Answer:

45 degrees

Step-by-step explanation:

135+135=270

360-270=90

90/2=45

your answer is 45 degrees

Answer:

Step-by-step explanation:

Two angles form linear pair if they are adjacent angles and their non common arms are opposite rays.

Corresponding angles: When two parallel lines are intersected by the transversal, the angles formed on the matching corners of the same side of the transversal are called corresponding angles.

∠1 + ∠2 = 180°   {Linear pair}

135 + ∠2 = 180

        ∠2 = 180 - 135

∠2 = 45°

∠6 = ∠2   {Corresponding angles}

∠6 = 45°

Mrs. Johnson wants to know which type of cake she should make for the middle school dance. She will conduct a survey asking certain students which kind of cake they prefer. Which method would provide the most accurate results

Answers

Answer:

Asking four boys and four girls from each first period class which type of cake they prefer.

Step-by-step explanation:

cant really explain it just knew it off the top of my head.

100 POINTS!!!
PLEASEEEE HELPPP ASAPPPP!!!
Given the graph of the quadratic function, identify the solutions.

Answers

Solving for the roots of the quadratic equation is equivalent to finding the intersections with the axis:

[tex]f(x) = 0[/tex]

Since the function intersects the x-axis at the point (2,0) & (-4,0), we can then say:

[tex]solution = \\ x = 2 \\ x = - 4[/tex]

Write an algebraic expression that is the product of two factors. One of which should be a sum

Answers

Answer:

2x + 9

Step-by-step explanation:

because you need a variable in it to make it an algebraic

i do not know this answer

Answers

Answer:

try (-4,6)

Step-by-step explanation:

if you use tracing paper, put a mark where the point is

put the tip of the pencil on the point which it will rotate around

spin the paper by the degrees

see where the traced point ends up

To raise money for a class trip, students sold bags of mixed nuts and bags of dried fruit. Evan sold 12 bags of mixed nuts and 10 bags of dried fruit and collected $54. Brett sold 8 bags of mixed nuts and 15 bags of dried fruit and collected $61. How much did they charge for each type of bag?

Answers

12 bags of mixed nuts for R2 each and 10 bags of dried fruit for R3 each

HELPPPP
does anyone know how to do this

Answers

Answer:

1 13 2 16 3 17 4 21

Step-by-step explanation:

i hope this helps

Can someone answer these questions?? Thank you!!!

Answers

9. -6xy+2xz
10. b(a-c-3d)
11. -3xy+xz-4xw
also i think that 8 is supposed to be a(10-13)

Do number 3 pleaseeee

Answers

Answer:

3. 24

Step-by-step explanation:

It's 24 because the formula for that shape is base multiplied by height which base is 8 and height is 3 for 8*3 = 24.

Answer: 24 cm

Step-by-step explanation:

You multiply both sides to find the area. We can pretend if we could cut the left triangle off and add it to the right. Then 8x3= 24

how many terms of the A.p 18,16,14 ... be taken so that their sum is zero?​

Answers

Answer:

19 terms

Step-by-step explanation:

the sum to n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 18 and d = a₂ - a₁ = 16 - 18 = - 2, then solving for n

[tex]\frac{n}{2}[/tex] [ (2 × 18) - 2(n - 1) ] = 0 ( multiply both sides by 2 to clear the fraction )

n(36 - 2n + 2) = 0

n(38 - 2n) = 0 ← distribute parenthesis on left side by n

38n - 2n² = 0 ← factor out 2n from each term on the left

2n(19 - n) = 0

equate each factor to zero and solve for n

2n = 0 ⇒ n = 0

19 - n = 0 ⇒ n = 19

n > 0 , then number of terms is 19

The sum of
1
2
and
1
5
is between
1
2
and 1.


Is this true yes or no

Answers

Answer:

no

Step-by-step explanation:

the sum of the first is 3 and the sum of the next is 6. neither of them are within the range of 1-2 and 1.

X^2+16x+_=(x+_)^2 what are the missing digits?

Answers

Answer:

x^2+16x+64=(x+8)^2

Step-by-step explanation:

For the first spot you find the perfect square of the equation

This is found by doing (1/2 16)^2

1/2 16 = 8

8^2 = 64

The second spot is factoring, where you would put half of 16 or the square root of 64

1/2 16 = 8

root 64 = 8

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