A locker combination consists of two non-zero digits. The digits in a combination are not repeated and range from 2 through 9.
Event A = the first digit is an odd number
Event B = the second digit is an odd number
If a combination is picked at random with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?

A. 3/8
B. 3/7
C. 1/2
D. 4/7

Answers

Answer 1

Answer:

3/7 (b)

Step-by-step explanation:

Answer 2

If a combination is picked at random with each possible locker combination  being equally likely, the conditional probability P(B|A) is 3/7.

What is conditional probability?

Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome.

Probability of event A = P(the first digit is an odd number) = 4/8

Given that event A has already occurred, we need to calculate the probability of the occurrence of probability B.

The total possible outcomes are 7 (out of 8 one is used up in event A).

Favorable outcomes are 3 (out of 4 one is used up in event A).

P(B|A) = 3/7

 

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Related Questions

Which two expressions have the same value?

Answers

Answer:

a.

Step-by-step explanation:

i don't know the explanation step by step

Write an equation to represent the following statement.
The sum of j and 47 is 55.

Answers

Answer:

J plus 47 = 55

If you need to find J

The value of J is

J=55-47

J=8

Step-by-step explanation

Dylan has a square piece of metal that measures 17 inches on each side. He cuts the metal along the diagonal, forming two right triangles. What is the length of the hypotenuse of each right triangle to the nearest tenth of an inch?

Answers

Answer:

24 Inch

Step-by-step explanation:

When the square piece of metal is cut along the diagonal, it forms two right triangles where each of the right triangle has legs of 17 inches.

To determine the length of the hypotenuse, we use the Pythagorean Theorem.

[tex]\text{Pythagoras Theorem}: Hypotenuse^2=Opposite^2+Adjacent^2\\Hypotenuse^2=17^2+17^2\\Hypotenuse^2=289+289\\Hypotenuse^2=578\\Hypotenuse=\sqrt{578} \\=24.04\\\approx 24$ inch ( to the nearest tenth of an inch)[/tex]

Answer:

24 square inches

Step-by-step explanation:

Someone help me with this please

Answers

Answer:

60    88

Step-by-step explanation:

khn566

Answer:

60 and 88

Step-by-step explanation:

please help quickly!

What is the measure of Arc CB. How did you determine this?

Answers

Answer:

As shown in picture,

Angle CDF = Angle BDE = 54 deg (pair of opposite angles)

Angle CDB = 180 - CDF = 180 - 54 = 126 deg (BF is a diameter).

=> Arc CB = Angle CDB = 126 deg (property of angle on circle)

Hope this helps!

:)

Nathan took his car in for service and repair. He had a coupon for 15% off. $261.36 $381.25 $77.52 Which amount is closest to Nathan's total costs after the 15% discount and 7% sales tax?

Answers

Answer:

Total amount to be paid = $655

Step-by-step explanation:

Given,

Total price before coupon is  = 261.36 +381.25+77.52

= $720.13

Discount = 15%

Amount of discount = 15% of total amount

Amount of discount = [tex]\frac{15}{100} \times 720.13[/tex]

= $108.02

Remaining amount = Total amount - discount amount

Remaining amount = $720.13 - $108.02

= $612.11

Sales tax = 6%

Amount of sales tax = 6% of remaining amount

[tex]=\frac{6}{100} \times 612.11\\\\=42.85[/tex]

Amount to be paid = Remaining amount + sales tax

= 612.11 + 42.85

= 654.96

Rounding off to nearest whole number;

Total amount to be paid = $655

please help I need it.

Answers

Answer:

option 2

Step-by-step explanation:

√8^2+(22/2)^2=√64+121=√185≈13.6

Choose the graph that represents the linear equation 6x - 2y = 12. *
9

Answers

Answer: x-intercept = 2, y-intercept = -6

Step-by-step explanation:

To solve this problem, we must first convert 6x - 2y = 12 to slope-intercept form by getting y by itself.

1. 6x - 2y = 12

2. -2y = 12 - 6x

3. -2y/-2 = 12/-2 - 6x/-2

y = 3x - 6

Using our knowledge of what the slope-formula represents, we know that the -6 is the y-intercept.

To find the x-intercept, we set the formula equal to 0 instead of y and solve for x.

1. 0 = 3x - 6

2. 0 + 6 = 3x

3. 6/3 = 3x/3

x = 2

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The correct answer is D

Step-by-step explanation:

calculate the formula by using simultaneous equation

1: 2x+3y = -1
x+y = -1 ​

Answers

I think that X = -2 and Y = 1

I hope my answer will serve you.

Expand 4(-2x - 3)
Factorise 5n + 15​
シ︎❤︎✰✌︎

Answers

Look at the attached picture

Hope it will help you

Good luck on your assignment

Have a great day...

What is the area of the rectangle?

Answers

Answer:

Root square 25² - 15² = 20

Area = 20×15 = 300 cm²

Can u add me as Brainest pls?

What is the measure of angle b ?!

Answers

Answer:

the answer is 47

Step-by-step explanation:

first you would add the sum of angle A to the sum of angle D. next you would subtract 180 from 133 to get 47. then you can check your answer by adding 34 and 47 which is 81 and then subtract that from 180 to get the measure of angle D.

34+99=133: 180-133=47

34+47=81: 180-81=99

Hope this helps.

Describe and correct the error in solving each of the equations.

Answers

Answer:

left side: 3x *- (-2x) =8+7 right side: 2v -10 = -3v *-5

Step-by-step explanation:

on the left side you add 2x to move it from the right to the left. on the right side you multiply negative with positive which is negative

a rectangle is reduced by a scale factor of 1/4 which choices show the ratio of the area hurry because i need this for a test

Answers

Aleecha107Junior Moderator

Answer:

The area would be 1 : 16 ratio, of the smaller rectangle to the larger one.

Step-by-step explanation:

I used a rectangle with the side length of 1 to model this for me. You can choose any number, but 1 is easy to multiply.

If the original rectangle had a side length of 1 and 1, the area would be 1.

If you reduce the size to 1/4th of the size, the area would be 0.0625, or 1/16th of the original.

I hope this helped!

Kevin won two goldfish at the county fair. He put them in a bowl with 2 liters of water. The next day, he bought a fish tank that holds 75 liters of water.How much more water does the tank hold than the bowl?

Answers

Answer:

UDCVUEGBCYEJJAJAJ

Step-by-step explanation:

In the U.S., approximately 8.3% of the population has diabetes. Maryland's rate of diabetes for its residents is 12% higher than the national average. What is the rate of diabetes in the state of Maryland? *

Answers

Answer:

9.30%

Step-by-step explanation:

Given;

The average rate in the national average N = 8.3%

The average rate in Maryland R = 12% higher than national

R = N + 12% of N

R = N + 0.12N

R = 1.12N

R = 1.12 × 8.3%

R = 9.296%

R = 9.30%

Rate of diabetes in Maryland = 9.30%

The ratio of yes votes to no votes was 5 to 7. If there were 10,092 total votes, how many yes votes were there?

Answers

Answer:

4,205

Step-by-step explanation:

5 + 7 = 12

10,092 ÷ 12 = 841

multiplier for the ratio is therefore 841.

5:7 is yes:no

since you want the number of yes votes, u take the 5 and multiply it by the multiplier found before.

5 × 841 = 4,205 yes votes.

find the square root of each of the following decimal numbers correct to two places of decimal : I. 175.01 II. 423.74 III. 5893.27 iv.7136.8​

Answers

Answer:

i. 13.23

ii. 20.58

iii. 76.77

iv. 84.48

Step-by-step explanation:

Here , we are to calculate the square root of we have of the decimal numbers and correct to two decimal places.

i. √(175.01) = 13.229 = 13.23

ii. √(423.74) = 20.5849 = 20.58

iii. √(5893.27) = 76.767 = 76.77

iv. √(7136.8) = 84.4795 = 84.48

Kindly note that the approximation to two decimal places are the figures after the equal to

Find the quotient: 8,441 ÷ 21 = ________. a. 400 r 12 b. 400 r 20 c. 401 r 12 d. 400 r 20

Answers

I Believe that the correct answer is option C) 401 r

8,441 ÷ 21 = 401.952380952

HOPE THIS HELPED!!!

If not please comment below

Find the area of the triangle.
b = 40 m
h=13.4 m​

Answers

Answer:

[tex]268 {m}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{1}{2} \times b \times h \\ \frac{1}{2} \times 40 \times 13.4 \\ = 268 {m}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

I need help with question 10 please

Answers

Answer:

172

Step-by-step explanation:

13/40=x/528

40x=6864

x=172

A
B
C
D
need this to be right!!!!!

Answers

The correct answer is C!!


Hope this helped!!!

Answer:

c

Step-by-step explanation:

5x-10=-10

5x=-10+10

5x=0

x=0/5

x=0

Ms. Ahmed has a rectangular garden where she grows tomatoes. The length of her garden is represented by t + 4 and the width by 2t - 1. Express the area of Ms. Ahmed's garden as a polynomial in standard form. If the area of Ms. Ahmed's garden is 56 ft2, what are the dimensions of the garden?

Answers

Answer:

Area of the garden in standard form:

Area = (2t^2) + 7t - 4

The dimension of the garden is 8ft × 7ft

Step-by-step explanation:

Length of the rectangular garden, L = t+4

Width of the garden, B = 2t - 1

Area = length * width

Area = (t+4) * ( 2t-1)

Area = (2t^2) + 7t - 4..….......(1)

If the Area = 56 ft^2

Substitute Area into (1)

56 = (2t^2) + 7t - 4

(2t^2) + 7t - 60 = 0

(2t^2) - 8t + 15t - 60 = 0

2t(t - 4) + 15(t - 4) = 0

(2t+15) (t-4) = 0

Let 2t + 15 =0

t = -7.5

Let t - 4 = 0

t = 4

* When t = -7.5

Length, L = -7.5 + 4 = -3.5 ft

Width, B = 2(-7.5) -1 = -16 ft

Since length and breadth cannot be negative, t = -7.5 is not possible

** When t = 4

Length, L = 4+4 = 8 ft

Width, B = 2(4) - 1 = 7 ft

Therefore, the dimension of the garden is 8ft × 7ft

Answer:

The dimension is 8ft by 7ft

Step-by-step explanation:

Given data

Length l =  [tex](t+4)[/tex]

Width w=  [tex](2t-1)[/tex]

the area  is expressed as  [tex]A= length * width[/tex]

[tex]A= (t+4)*(2t-1)\\A= t(2t-1) +4(2t-1)\\A= 2t^{2}-t+8t-4\\[/tex]

collecting like terms we have

[tex]A= 2t^{2} +7t-4[/tex]

hence our expression for area is [tex]A= 2t^{2} +7t-4[/tex]

given that the area is [tex]56ft^{2}[/tex]  to solve for the sides we need to first solve fot t

equating the expression for area to 56 we can solve for t

[tex]A= 2t^{2} +7t-4= 56[/tex]

taking the constant term to the other side and solve we have

[tex]A= 2t^{2} +7t-4-56\\A= 2t^{2} +7t-60\\[/tex]

we can substitute two factors for 7t that when multiplied we give -60 and when added we give 7  these factors are 15 and -8

[tex]A= 2t^{2} +7t-60\\\\A= 2t^{2} -8t+15t-60\\2t^{2} -8t+15t-60=0\\\\2t(t-4) +15(t-4)= 0\\2t+15=0, (t-4)= 0\\2t=-15, t= -7.5\\t= 4[/tex]

t=4  hence the length is

[tex](t+4)\\(4+4)= 8ft\\[/tex]

hence the width  is

[tex](2t-1)\\(2*4-1)= (8-1)= 7ft[/tex]

A. 30.0 in
B. 7.5
C. 10.8
D. 27.6in

Answers

Answer:

A

Step-by-step explanation:

Which two of the following are continuous data?
A) concert attendance
B) age of a student
C) number of pens in a box
D) time taken to run 1 mile

Answers

Answer:

Age of a student (B) and Time taken you run 1 mile (D)

Step-by-step explanation:

Only the age of a student and the time taken to run 1 mile are continuous data.

What are the types of data?

The data is classified into majorly four categories:

Nominal data: Nominal Data is used to label variables without any order or quantitative value.Ordinal data: Ordinal data have natural ordering where a number is present in some kind of order by their position on the scale. Discrete data: The term discrete means distinct or separate. The discrete data contain the values that fall under integers or whole numbers.Continuous data: Continuous data are in the form of fractional numbers. It can be the version of an android phone, the height of a person, the length of an object, etc. Continuous data represents information that can be divided into smaller levels. The continuous variable can take any value within a range.

As per the given definitions above we can state that Continuous data is (B) the Age of the students (D) the Time taken to run 1 mile

Therefore, the Answer is (B) and (D)

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Aiyanah made 12 withdrawals of $175.25 each from her bank account. Then she made 17 deposits of $235.66 to her same account that same day. What was the overall change in her account that day?

Answers

Answer:

The overall change is $1903.22

Step-by-step explanation:

Let us approach this problem step wise

1.Firstly let us calculate all 12 withdrawal of $175.25

12*$175.25= $2103

2. Let us calculate all the deposits made 17* $235.66 = $4006.22

With these figures we can calculate the overall changes as

= $4006.22-$2103= $1903.22

Someone help please! I put A but I’m not sure if it’s correct.

Answers

Answer: B

21x^2-17x+2

Step-by-step explanation:



Of the songs in Nicholas's music library, 1/2 are rock songs. Of the rock songs, 2/5 feature a guitar solo. What fraction of the songs in Nicholas's music library are rock songs that feature a guitar solo?

Answers

Answer:

1/10

Step-by-step explanation:

A sporting equipment company wants to sell a new bicycle helmet. They have developed a function, shown below, where total profit, p, can be determined based on sale price, s.



What will be the total profit if the sale price of the helmet is $60?

Answers

Answer:

[tex] p(s) = -24s^2 +2200 s -18000[/tex]

If we use the valie of s =60 we have

[tex] p(60) = -24 (60)^2 +2200*60 -18000[/tex]

And after solve we got:

[tex] p(60)= -86400 +132000 -18000 =27600[/tex]

So then the best option for this case would be:

$27,600

Step-by-step explanation:

Using the following info in order to complete the problem:

p(s)=-24s^(2)+2200s-18000

$112,560

$27,600

$111,120

$236,400

$14,240

We have the following function given:

[tex] p(s) = -24s^2 +2200 s -18000[/tex]

If we use the valie of s =60 we have

[tex] p(60) = -24 (60)^2 +2200*60 -18000[/tex]

And after solve we got:

[tex] p(60)= -86400 +132000 -18000 =27600[/tex]

So then the best option for this case would be:

$27,600

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