Half of a class took Form A of a test, and half took Form B. Of the students who took form B, 39% passed. What is the probability that a randomly chosen student took Form B and did not pass?

Answers

Answer 1

Answer:

0.305 = 30.5% probability that a randomly chosen student took Form B and did not pass

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Took Form B.

Event B: Did not pass.

Half of a class took Form A of a test, and half took Form B.

This means that [tex]P(A) = 0.5[/tex]

Of the students who took form B, 39% passed.

So 100 - 39 = 61% did not pass, which means that [tex]P(B|A) = 0.61[/tex].

What is the probability that a randomly chosen student took Form B and did not pass?

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

[tex]P(A \cap B) = P(B|A)*P(A) = 0.61*0.5 = 0.305[/tex]

0.305 = 30.5% probability that a randomly chosen student took Form B and did not pass


Related Questions

Can somebody help me with my mathia

Answers

Answer:

Sure i can try helping u with ur mathia lol

Step-by-step explanation:

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

2.8

Step-by-step explanation:

Use the formula                              a^2+b^2=c^2

Then plug in the numbers             2^2+2^2=c^2

Solve to find the value of c           8=c^2

                                                       c≈2.8

So, the hypotenuse is 2.8

Hope this helps! Let me know if you have any questions :D

i need the answer asap

Answers

Answer: x=114

Step-by-step explanation:

7 to 2 = __to 6 help plz​

Answers

Answer:

19 would be the naswer

Step-by-step explanation:

Add a sale this week a suit is being sold for $476 this is a 15% discount from the original price what is the original price

Answers

If the $476 is a 15% discount then $476 is 85% of the OG price. The original price is $560.

560 * .15 = 84.
560 - 84 = 476.

Can two different angles have the same reference angle?

Answers

It is the angle between the terminal side and the x axis. As the point moves into each quadrant, note how the reference angle is always the smallest angle between the terminal side and the x axis.

four of the angle of a Pentagon are 70°,90°,100° and 145°. What is the side of a fifth angle?​

Answers

Answer: 135°

Step-by-step explanation:

The sum of the angles in a pentagon is equal to 540°, and the sum of the first four angles is 405°.

70 + 90 + 100 + 145 = 405

540 - 405 = 135

Solve for X: -10+3X<4

Answers

Answer:

x<14/3

Step-by-step explanation:

-10+3x<4

3x<4+10

3x<14

x<14/3

If this helps please mark as brainliest

Calculate the total hours Nicki worked last week.
M8 T9 W9 T8 F0 S8 S5
Total
Calculate her total earnings if she earns $11/hour.

Answers

Answer:

47 hours

$517

Step-by-step explanation:

M8 T9 W9 T8 F0 S8 S5

From the information above :

Total hours worked last week :

(8 + 9 + 9 + 8 + 0 + 8 + 5) = 47 hours

Rate = $11 / hour

Last week earning :

Total hours worked * rate per hour

47 * $11

= $517

what is the length of segment bd

Answers

Answer:

10 if not mistaking, sorry if im wrong

Step-by-step explanation:

Answer:

BD = 16

Step-by-step explanation:

AB and AC are both radii

AB  = AC =  6 + 4 = 10

BE = 8 because it's the leg of a right triangle with 6² + 8² = 10²

BD = 2 * BE = 2 * 8 = 16

help plz
which is right

Answers

Answer:

B

Step-by-step explanation:

Answer:

I think the anwser is

B.2cot x sec x

HOPE IT HELPED

guys please help its my final either i pass or not

Answers

Answer:

Step-by-step explanation:

1 yes 2 no 3 no 4 yes 5 no

Answer:

1. yes

2. yes

3. no

4. yes

5. no

Step-by-step explanation:

go to mathwa* and type in the same equation and click to see if function or not.

gl on the final

this guy above me is wrong for #2

A is a set containing five different numbers. B is a set containing
four different numbers, all of which are members of A. Which of
the following statements CANNOT be true?

Answers

Answer:

"the median of a is equal to the median of b" cannot be true.

Step-by-step explanation:

The statement "the range of A is less than the range of B. cannot be true.

What is mean?

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

The given statements are:

The mean of A is equal to the mean of B,The median of A is equal to the median of B,The range of A is equal to the range of B,The range of A is less than the range of B.

The range of A < the range of B --> the range of a subset cannot be more than the range of a whole set.

Thus, the statement "the range of A is less than the range of B. cannot be true.

Learn more about the mean here:

https://brainly.com/question/22871228

#SPJ2

Alex collects coins that appreciate (increase in) value. At the store he has found three coins that he likes and can afford. Help Alex decide which coin to buy by selecting two coins and comparing their values over time. 1. Which two coins are you going to compare? Circle the two coins you picked. Coin A Coin B Coin C Finding Equations for the Values 2. What are the current values and appreciation rates of the two coins you selected? (2 points: 1 point for each of 2 coins) Coin Current Value Annual Appreciation Rate 3. Write an exponential equation for each coin that will give the coin's value, V, at any time, t. Use the formula: V(t) = P(1 + r)t, where V(t) is the value of the coin in t years, P is the initial investment, and r is the growth rate. For each of the coins you selected, identify P and r, then set up an equation to find the value of the coin at any t. (2 points: 1 point for each coin) Coin P r Function V(t) = V(t) = Interpreting Exponential Expressions 4. In the coin value formula, V(t) = P(1 + r)t, which part(s) form the base of the exponential function? Which part(s) form the constant, or initial value? Which part(s) form the exponent? (4 points: 1 point for each answer below) Base: Constant, or initial value: Exponent: In this function, if the value of r were to increase, would the value represented by P also increase or stay the same? Why? Explain your answer using terms such as "rate of growth" and "initial value" in the context of the coin problem. 5. Find the value of the coins after 10, 20, 30, and 60 years. Use the function you identified in question 3 to calculate the value. (8 points: 1 point for each time interval) Coin A Coin B Coin C Initial Value 10 years 20 years 30 years 60 years Determining the More Valuable Coin 6. Which coin is more valuable after 10 years? 20 years? 30 years? 60 years? Which coin would you purchase if you intended to keep it longer than 60 years, and why? (Hint: Loo

Answers

Answer:

Coin A:

10:$46.18

20:$96.74

30:$190.31

60:$1448.66

Coin B

10:$65.16

20:$106.13

30:$172.88

60:$466.98

Coin C

10:$88.81

20:$131.47

30:$194.60

60:$631.18

I think these are right. I've rounded the answers to the nearest 10th place.

what is the midpoint of the segment shown below? (-2,4) (6,-4)

Answers

solution :

let's assume the Coordinates be x and y

By using Section formula,

[tex] \boxed{ x = (\dfrac{x_2 + x_1}{2} )}[/tex]

[tex]x = \dfrac{ - 2 + 6}{2} [/tex]

[tex]x = \dfrac{4}{2} [/tex]

[tex]x = 2[/tex]

____________________

[tex] \boxed {y = (\dfrac{y_2 + y_1}{2} )}[/tex]

[tex] \dfrac{ - 4 + 4}{2} [/tex]

[tex] \dfrac{0}{4} [/tex]

[tex]0[/tex]

____________________

[tex]\mathrm{Therefore \:\:the\:\: Coordinates\:\: of \:\:the\;\; mid-point\;\: of \;\;the\:\: given\:\: segment\:\; is}[/tex]

[tex] \huge \boxed{(2,0)}[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR} \: ☃[/tex]

A box can be filled completely using 16 layers of 7 units cubes. What is the volume of
the box?

Answers

The volume of the box is 112

Volume can be described as the amount/quantity of space that an object occupies.

The box is completely filled with 16 layers and 7 unit cubes. Hence the volume can be calculated as follows

= 16 × 7

= 112

Hence the volume of the box is 112


Please see the link below for more information
https://brainly.com/question/16183371?referrer=searchResults

#SPJ1

WILL



GIVE

BRAINLIST



..
..

.
.
.
.

..
..
.

Answers

Answer:

67.6

Step-by-step explanation:

first, to find the mean you add up all the numbers and you would get 338. Next, you divide by how many numbers there are (5) so 338 divided by 5 equals 67.6

50 points!!!!! need answer ASAP

Answers

Answer:

the first option

Step-by-step explanation:

i believe

how will we write 2 divided by n

Answers

2/n

i believe this is right?

find the volume. the base is regular.
PLEASE HELP ASAP

Answers

Answer:

V≈14590.8

Step-by-step explanation:

plz mark brainliest

Can someone help me

Answers

Answer:

Option e is correct one

e. Neither similar nor congruent

Because it has nothing similar neither side and nor angles

If you are helped with my answer pls tag me brianliest I really want it... Plzz

THANK YOU........

What data display would be best for a persons income based on age?

Answers

Answer:

where are the answers to select from?

Step-by-step explanation:

Help me on this . It’s important

Answers

Answer:

The answer is 16.

Step-by-step explanation:

6 x 3 = 18

18 - 2 =16

6n- 2= ?
6(3) - 2 —> substitute the “n” with 3
=18-2 —> 6 times 3 equals 18 and =16 subtract 2

\-x+sqrt1−x
2
\-=sqrt2(2x
2
−1)

Answers

Answer:

3sqrt2

Step-by-step explanation:

b jhf vj fjvfd vmnd fmv ndkfv mndfvdf nkvvdf lkv nf khlfd hjvdf

Pls help me, if you get it right I will give you Brainlist!​

Answers

Answer:

B. 31.4

Step-by-step explanation:

● you use the equation to find the circumstance of a circle so 2(pi)r.

● plug in the numbers into the equation 2(3.14)(5)

● evaluate. 2(15.70) = 31.4

Please help me I’m almost done

Answers

Answer:

(x-3)²+(y-2)² = 16

Step-by-step explanation:

The formula for calculating the equation of a circle is exoressed as;

(x-a)²+(y-b)² = r²

(A, B) is the centre = (3,2)

r is theradius = 4units

Substitute;

(x-3)²+(y-2)² = 4²

(x-3)²+(y-2)² = 16

Ths gives the required equation

The temperature in a commercial freezer over four days are -2.36 F, 1.68F, -1.81F, and 0.67F what is the mean temperature of the freezer over the four days

Answers

Answer: -0.455F

Step-by-step explanation:

The mean temperature of the freezer over the four days will be gotten by adding the total temperature and then dividing by 4. This will be:

= (-2.36 + 1.68F + -1.81F + 0.67F) / 4

= -1.82F/4

= -0.455F

The mean temperature is -0.455F

Can anybody please help how to do these!! NO LINKS

Answers

Answer:

22.

[tex]rcos \theta = rsin \theta[/tex]

23.

[tex](rcos \theta) ^{2} + (rsin \theta) ^{2} = 25[/tex]

Step-by-step explanation:

To change the equation to polar form replace x with [tex] rcos\theta[/tex]

and y with [tex] rsin\theta[/tex]

a store sells 3 hats for a total of $47.25. the cost if each hat is the same. what is the cost, in dollars, of one hat in the store

Answers

Answer: $15.75

Step-by-step explanation: 47.25/3=15.75

Answer:

15.75

Step-by-step explanation:

if there’s 3 hats for 47.25, just divide.

47.25 / 3 = 15.75

you can double check my tripling this answer to see if you get 47.25

15 x 3 = 47.25

47.25 = 47.25

Hey Besties! Pls help! 50 pts!
Which is the graph of f(x) = one-fourth(4)x?

On a coordinate plane, an exponential function approaches y = 0 in quadrant 1. It curves up to the left and goes through points (2, 1) and (0, 4).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 1. It curves up to the left and goes through points (1, 1) and (0, 4).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points (3, 2) and (4, 4).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points (1, 1) and (2, 4).

Answers

The graph of the function [tex]f(x) = \frac 14(4)^x[/tex] is (d) on a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points (1, 1) and (2, 4).

What are functions?

Functions are used to represent equation, graphs and tables

The equation of the function is given as:

[tex]f(x) = \frac 14(4)^x[/tex]

The above function is an exponential function that has an initial value of 1/4 and a rate of 4

When x = 2,

f(2) = 4

When x = 1,

f(1) = 1

Hence, the graph of the function [tex]f(x) = \frac 14(4)^x[/tex] is (d)

Read more about exponential functions at:

https://brainly.com/question/11464095

Answer:

graph one

Step-by-step explanation:

did it on ed .

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