Find the indicated conditional probability using the following two-way table

P(Take the bus|Junior)=[?]
round to the nearest hundredth.

Find The Indicated Conditional Probability Using The Following Two-way TableP(Take The Bus|Junior)=[?]round

Answers

Answer 1

Answer:

P(Take the bus|Junior)=0.57

Step-by-step explanation:

Conditional Probability

Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event B has occurred, then the probability that event A occurs is given by:

[tex]{\displaystyle P(A\mid B)={\frac {P(A\cap B)}{P(B)}}}[/tex]

Where [tex]P(A\cap B)[/tex] is the probability that both events occur and P(B) is the probability that B occurs.

The two-way table shows statistics of students and we are interested to find the probability that, given the student is a junior (let's call it event B), they also take the bus (Event A). Thus, the probability we need to calculate is:

[tex]\displaystyle P(A\mid B)={\frac {P(A\cap B)}{P(B)}}[/tex]

Checking on the table, we can see that both events occur when the row and the column of both events coincide, i.e. 20 students out of a total of 100 students in total. Thus:

[tex]\displaystyle P(A\cap B)=\frac {20}{100}=0.2[/tex]

The probability that a student is classified as Junior is

[tex]\displaystyle P(B)=\frac {35}{100}=0.35[/tex]

The conditional probability is:

[tex]\displaystyle P(A\mid B)=\frac {0.2}{0.35}=0.5714[/tex]

P(Take the bus|Junior)=0.57


Related Questions

Please help!!!
is a relation that is also a function.

Answers

Answer:

Step-by-step explanation:

If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.

I was wondering what to pick for my next subjects i just did math and science

Answers

Chorus or you can just work in McDonald

The local monsters are currently throwing a bash
known as the Monster Mash. At the beginning of the
party, there were 5 monsters attending. At the end
of the party there were 225 monsters. If an average
4 monsters came to the bash every minute of the
party, how long did this Graveyard Smash last?

Answers

Answer: 55 minutes

Step-by-step explanation:

First, you would have to subtract 5 from 225 because there are already 5 monsters there.

225-5= 220

Next, you would have to divide 220 by 4 to find the amount of minutes.

220/4= 55

What are some movies, shows, and animes I should watch?

Answers

Answer:

Napolian Dynamite is a dumb funny movie and madalorian is a good show, im not into star wars but mandalrian was fun

Avatar the last air bender was a really funny series I haven't met someone who doesn't like it

7. Given :
Point B is the midpoint of AC. Point C is the midpoint of BD.
Prove:
AB=CD.
A
B
C С
D

Answers

Answer:

c

Step-by-step explanation:

Answer:false

Step-by-step explanation:

16, 4,1,...
Find the 6th term

Answers

Let's see what to do...

_________________________________

Step (1)

Look : 16 , 10 , 4 , ...

It is an arithmetic sequence.

So first we have to find the value of the ratio(( d )) .

To do this, we need to subtract each sentence minus the previous sentence.

So we have : 10 - 16 = - 6

_________________________________

Step (2)

To find the nth sentence in an arithmetic sequence, we must use the following equation :

[tex]t(n) = t(1) + (n - 1)d[/tex]

_________________________________

Step (3)

To find the 6th term just need to put the following parameters in the above sequence.

t(1) = 16 ------ n = 6 ------ d = -6

[tex]t(6) = 16 + (6 - 1)( - 6)[/tex]

[tex]t(6) = 16 + (5)( - 6)[/tex]

[tex]t(6) = 16 + ( - 30)[/tex]

[tex]t(6) = 16 - 30[/tex]

[tex]t(6) = - 14[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

What is the value of x? Round to the nearest tenths place.

Answers

Answer:

ok x should be 30

Step-by-step explanation:

Solve the following system of equations
by substitution:
-X+y= -5
2x - 5y=1
Which ordered pair is the solution?
Help

Answers

Answer:

Step-by-step explanation:

y = x - 5

2x - 5y = 1

2x - 5(x - 5) = 1

2x - 5x + 25 = 1

-3x + 25 = 1

-3x = -24

x = 8

y = 8 - 5

y = 3

(8, 3)

The numbers of copies of a college textbook sold quarterly over the past four years are: Since the time series has trend and seasonal pattern, to forecast the quarterly sales of the textbook, the following regression equation was found: stack y t with overparenthesis on top equals 2120 space minus 620 space Q t r 1 space minus space 1320 space Q t r 2 space plus space 290 space Q t r 3 space plus space 24 space t , where Q t r 1 , Q t r 2and Q t r 3 are dummy variables corresponding to Quarters 1, 2 and 3, and t = time period. The sales forecast for Quarter 3 of the next year is

Answers

Answer:

The predicted sales for the 4th quarter next year are 2168

Step-by-step explanation:

We formulate the given equation

Yt= 2120 - 620 Qtr 1 t -1320 Qtr 2 t + 290 Q tr3 t + 24 t

Taking the quarter 1 , 2 and 3 to be dummy variable the predicted sales for the 4th qtr are

Now put the values for the corresponding time period as 1,2 and 3

Yt= 2120 - 620 Qtr 1(0) -1320 Qtr 2(0) + 290 Q tr3 (0)  + 24 (1)

Y(1)= 2120 + 24 = 2144   ( for year =1)

Y(2)= 2120+ 48= 2168    ( for year =2)

Y(3)= 2120 + 72= 2192   ( for year =3)

where t is the number of years.

So for the next year the fourth quarter sales are predicted to be 2168.

The sales forecast for Quarter 3 of the next year is 2192.

What is a sales forecast?

It should be noted that a sales forecast simply means an expression for the expected sales revenue.

In this case, the sales forecast for Quarter 3 of the next year will be calculated thus:

= 2120 + 24(3)

= 2120 + 72

= 2192

Therefore, sales forecast for Quarter 3 of the next year is 2192.

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what is the greatest common faactor of 72 and 40

Answers

8×9=72
5×8=40
So the answer is 8

Answer:

8

Step-by-step explanation:

List the prime factors of each number. Multiply those factors both numbers have in common.

Suppose it cost you $78.48 for a 9-month subscription to a streaming video service. Write a proportion that you can use to find the cost in dollars for a 12-month subscription. Then solve.

Answers

Answer:

78.48÷9×12=cost

104.64

Step-by-step explanation:

amount divide by 9 months equals cost per month

take that by 12 to give 12 months sub

Which number is divisible by both 3 and 9?
OA) 36,359
OB) 36,622
OC) 48,618
OD) 48,667

Answers

Answer:

OC

Step-by-step explanation:

The correct answer is choice C.

Using the point (-4,-2), what number goes in the blank?
-5x + 3y =

Answers

Hope this helps! Ask questions if need be

(-m2 + 6) + (-4m2 + 7m + 2) =

Answers

Answer:

−5m² + 7m + 8

Explanation:

−m² + 6 − 4m² + 7m + 2

= −m² + 6 + −4m² + 7m + 2

[ Combine Like Terms ]

= −m² + 6 + −4m² + 7m + 2

= ( −m² + −4m²) + (7m) + (6 + 2)

= −5m² + 7m + 8

What fraction is equal to 65%?

Answers

Answer:

65/100

Divide is by 100.

Find the slope of the line from two given points: (12,-18) and (-15,-18)

Answers

Answer:

The answer is 0

Step-by-step explanation:

use the slope formula!  

[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

12 is xsub1

-18 is ysub1

-15 is xsub2

-18 is ysub2

now solve!

[tex]m= \frac{-18-(-18)}{-15-(12)}\\=\frac{0}{3} \\=0[/tex]

slope is 0.

hope this helps!

Answer:

The slope of the line is 0. It's a horizontal line.

Step-by-step explanation:

Slope of a Line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (12,-18) (-15,-18).

Calculate the slope:

[tex]\displaystyle m=\frac{-18-(-18)}{-15-12}[/tex]

[tex]\displaystyle m=\frac{-18+18}{-27}[/tex]

[tex]\displaystyle m=\frac{0}{-27}=0[/tex]

The slope of the line is 0. It's a horizontal line.

-(-(-(0.75))) =

a. -3/4
b. 3/4
c. -4/3
d. 4/3​

Answers

the answer would be A since a negative times a negative will be positive and a positive times a negative will be negative.

Everett is 6 ft in tall and casts a shadow 10 ft long. A flag pole next to him casts a shadow of 19 ft. How tall is the flag pole?

Answers

Answer:

31.7ft

Step-by-step explanation:

height of object /length of shadow

6/10=19/x

190=6x

x=31.666666666

HELP PLZ IT would mean a lot

Answers

what am i supposed to be looking at?

Answer:

Since this is a proportional relationship,

We know that the number which are proportional are a multiple of each other

the number which we can multiply one of the numbers to get the other number is the constant of proportionality

we could check for proportionality by using the following formula:

p1 / s1 = p2/s2 = p3/s3 = p4/s4  if they were equal, we can say that the relation is proportional

The value of any of the above values, p1/s1 , p2/s2 , p3/s3 , p4/s4 is the constant of proportionality

Therefore, the constant of proportionality = 20 / 5 = 4

Jerry can eat 24 hot dogs in 6 minutes. They want to know how many minutes (m) it would take them to eat 35 hot dogs if they can keep up the same pace. How many minutes would Jerry need to eat 35 hot dogs?

PLZ HELP

Answers

Answer: 8 minutes and 45 seconds or 8.75 minutes

Step-by-step explanation:

Find hot dogs per minute

24/6=4 hot dogs per minute

35/4=8.75

So jerry needs 8 minutes and

60x0.75= 45 seconds

helppp math find the leanghth

Answers

Answer:

70 feet

Step-by-step explanation:

3.5 times 20=70.

What is the value of k?
12k+6=4k–8

1.–4

2.–3

3. 3

4. 4

Answers

Answer:

4

Step-by-step explanation:

2.15 unit test

can you please help with geometry? to solve for x.​

Answers

Answer:

Solve for x means find the value of x that would make the equation you see true. Think about this equation: x + 1 = 3. If you were asked to solve it, that would mean finding some value for x that gives you three when you add one to it. ... That's what solving an equation is all about!

Step-by-step explanation:

How many quarts rounded to the nearest tenth are in 50 liters

Answers

Answer:

52.8

Step-by-step explanation:

If you were to look this up 50 liters = 52.8344

The question asks you to round to the nearest tenth so 52.8344 is now shown as 52.83 when you round that you can see that 52.83 rounded to the nearest tenth is 52.8 and that's your answer.

PLEASE MARK AS THE BRAINLIEST PLEASE

How to solve ?? 3 (3z-6)=0

Answers

Answer:

Step-by-step explanation:

3(3z-6)=0

multiply your three with the 3z and the -6

9z-18=0

figure out what - 18 = 0

9z=18

9*2=18

z=2

hope this helps

531.775197122 to the nearest ten thousandth

Answers

Answer: 3266.528

Step-by-step explanation:

The number 531.775197122 is rounded to the nearest ten thousandth place by 531.7752

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Given data ,

Let the number be = A

Let the rounded number be = B

The value of A is given by

A = 531.775197122

Now , the number A can be rounded of to the nearest ten thousandth place by rounding to the nearest 0.0001 or the Ten Thousandths Place

So , the number will be

The 1 in the ten thousandths place rounds up to 2 because the digit to the right in the hundred thousandths place is 9

When the digit to the right is 5 or greater we round away from 0

Therefore , the number 531.775197122 is rounded to 531.7752

Therefore , the value of B is 531.7752 after rounding up

Hence , The number 531.775197122 is rounded to the nearest ten thousandth place by 531.7752

To learn more about rounding up of numbers click :

https://brainly.com/question/4896544

#SPJ2

What is the equation in slope intercept form of the line that has a slope of -8 and y-intercept of 4/5?

Answers

Answer:

y=-8x+4/5

Step-by-step explanation:

the formula for slope intercept is y=mx+b so you just plug in the numbers. m is slope and b is the y intercept

sorry if this is wrong :)

Answer:

The answer will be listed below!

Step-by-step explanation:

The equation would be y=-8x+4/5. Slope intercept form is y=mx+b. m would be the slope while b is the y-intercept so in the end, you get y=-8x+4/5.

What is the y-intercept of y = 3 - 4x?

A: (0,3)
B: (3,0)
C: (-4,0)
D: (0,-4)

Answers

A is the right answer

Please help me I’ve been stuck on this for hiurs

Answers

Step-by-step explanation:

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Vsudjdbebjddn an did never jsidjdbrheh hdudjebbunsgdu

Consider the numbers 9 and 12. What is the product of the greatest common factor and the least common multiple for the numbers?

Answers

Answer:

108

Step-by-step explanation:

GCF of 9 and 12 = 3

LCM of 9 and 12 = 36

36 x 3 = 108

Hope this helped!

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