House numbers along a street consist of two-digit numbers. Each house number is made up of non-zero digits, and no digit in a house number is repeated. Event A is defined as choosing 8 as the first digit, and event B is defined as choosing a number less than 6 as the second digit. If a house number along this street is picked at random, with each number being equally likely and no repeated digits in a number, what is P(A and B) expressed in the simplest form? A. 1/9 B. 5/72 C. 5/8 D. 2/3

Answers

Answer 1

The value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers, option (B) is correct.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of outcomes = 9×8  = 72

(because the total number of digits excluding 0)

Event A: choosing 8 as the first digit

Event B: choosing a number less than 6 as the second digit

Total favourable outcomes = 1×5 = 5

Because there are total 5 digits that are less than 6 {1, 2, 3, 4, 5}

Probability = 5/72

Thus, the value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers option (B) is correct.

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Answer 2

Answer:

The answer is B I'm pretty sure.

Step-by-step explanation:

Time4Learning 2022 quiz


Related Questions

This table represents a proportional relationship between x and y.

x 1.3 1.6 1.9 2.2
y 1.82 2.24 2.66 3.08
What is the constant of proportionality?

Enter your answer as a decimal in the box.

ill give brainliest this is for k12

Answers

The table is an illustration of a linear table, and the constant of proportionality is 1.4

How to determine the constant of proportionality?

The table is given as:

x 1.3 1.6 1.9 2.2

y 1.82 2.24 2.66 3.08

The constant of proportionality (k) is calculated using:

k = y/x

Using the values on the table, we have:

k = 1.82/1.3

Divide

k = 1.4

Hence, the constant of proportionality is 1.4

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On a​ map, 1 inch equals 25 miles. Two cities are 3 inches apart on the map. What is the actual distance between the​ cities?

Answers

Answer:

75 Miles apart

Step-by-step explanation:

I = inches on a map

I=25

3I=75

75 miles apart

An architect is designing a house. She wants the bedroom to have the dimensions of 10 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom?

Answers

The volume of the den ( 2240ft³ ) is 1960ft³ more than the volume of the bedroom ( 280ft³ ).

Hence, the den will not have double the volume of the bedroom.

Does the den have double the volume of the bedroom?

Given the dimensions in the question, the bedroom and the den takes the shape of rectangular prism.

Volume of rectangular prism is expressed as;

V = l × b × h

Given that;

Length of the bedroom l = 10ftBreadth of the bedroom B = 4ftHeight of the bedroom h = 7ftLength of the den = 2l = 2×10ft = 20ftBreadth of the den = 2B = 2×4ft = 8ftHeight of the den  = 2h = 2×7ft = 14ft

First we calculate the volume of the bedroom.

V = l × b × h

Vr = 10ft × 4ft × 7ft

Vr = 280ft³

Next, we determine the volume of the den

V = l × b × h

Vd = 20ft × 8ft × 14ft

Vd = 2240ft³

The volume of the den ( 2240ft³ ) is 1960ft³ more than the volume of the bedroom ( 280ft³ ).

Hence, the den will not have double the volume of the bedroom.

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which ordered pair in the form (x,y) is a solution of this equation?
7x-5y=28

(-3,-2)
(-2,-3)
(0,4)
(4,0) will give brainly to who ever gets it right please and thank you

Answers

Answer:

I think is 4,0

Step-by-step explanation:

if u divide 28 by seven u would get 4 and u cant divide 28 by 5 sooo it would be a decimal but that isnt an option so imma say its the last one

Please helppppppppppp

Answers

1/14 because it’s a 1/7th chance to get pink and it’s a 1/2 chance to flip the coin which equals 1/14

33. Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
505 m² :519 m ²
505 m ²: 533 m ²
497 m ²: 519 m ²
497 m ²: 533 m ²

Answers

Answer: ⬇️⬇️⬇️⬇️

Lateral area = 505 m² ; Surface area =  519 m²


Hope I helped

Lateral area = Perimeter x height  

Lateral area = (2 + 7 + 7.28) x 31 = 16.28 x 31 = 505 m²

Surface area = 2(1/2 x 2 x 7) + 505  = 519 m²

Answer: Lateral area = 505 m² ; Surface area =  519 m²

Assume you are going to buy a new Nissan Rouge priced at $38250.00 and after the deal you have found out that the sales tax is 9%. Estimate the answer

Answers

$34807.5 is the answer. 38250 - (38250 x (9/100)) = estimate after the sales tax, that value equates to about $34807.5

Evaluate the difference quotient
f(x)-f(1)/X-1, where f(x)=X +5/x+1

Answers

Answer:

C) [tex]\displaystyle\frac{-2}{(x+1)}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{f(x)-f(1)}{x-1}\\ \\\frac{\frac{x+5}{x+1}-\frac{1+5}{1+1}}{x-1}\\ \\\frac{\frac{x+5}{x+1}-\frac{6}{2}}{x-1}\\\\\frac{\frac{2(x+5)}{2(x+1)}-\frac{6(x+1)}{2(x+1)}}{x-1}\\\\\frac{\frac{2(x+5)-6(x+1)}{2(x+1)}}{x-1}\\\\\frac{\frac{2x+10-6x-6}{2(x+1)}}{x-1}\\\\\frac{\frac{-4x+4}{2(x+1)}}{x-1}\\\\\frac{\frac{-4(x-1)}{2(x+1)}}{x-1}\\\\\frac{-4}{2(x+1)}\\ \\\frac{-2}{(x+1)}[/tex]


22% of what amount is $88?

Answers

Answer: The final cost would be 68.64

Explanation: Step 1) Convert 22% to a decimal: 0.22

Step 2) Multiply that by the amount (0.22×88=19.36)

Step 3) Subtract from the amount (88−19.36)=$68.64

 Answer $68.64

What is the area of the triangle Base is 6 ft height is 5 ft.

Answers

Answer:

Area of a triangle = 0.5 * base * height = 0.5 * 6 * 5 = 15 sq. ft

Answer:

Area = 0.5 * base * height

0.5 * 6 * 5 = 15

Area = 15 sq ft

Multiply 3hrs 40mins by 7

Answers

Answer:

25 hour 40 minutes

Step-by-step explanation:

3 hrs X 7 is = 21 hours

then you mutliply 40 mins times 7 which is equal to 280mins

the you divide 280mins by 60 mins because 60 minutes is equal to an hour and you come out with 4 hours and 40 minutes which you add to 21 which is equal to 25 hours!

Hope This Helps!

Add 3/4 + (−2 1/2) using the number line.

Select the location on the number line to plot the sum.

Answers

Answer:

Heyyy!!!!

Alrighty... here it goes....

Step-by-step explanation:

3/4 + (-2 1/2)

okay... the first thing you have to do is convert 1/2 into fourths. that'll make it way easier to solve..... like way easier.....

then rewrite the expression to get 3/4 + (-2 2/4)

now we know that + - = -

basically you subtract since adding a negative makes you subtract...

3/4 - 2 2/4 gives you - 1 3/4

all you have to do is plot that on the number line and you should be good to go

if n varies directly with m and m=-12 when n=4 what is the value when n=-3

Answers

Step-by-step explanation:

m and n are directly linked to each other by a factor.

m×k = n

-12×k = 4

k = 4/-12 = -1/3

m×-1/3 = -3

m = 9

What is the slope of the line that
passes through these two points?
(2, 3)
(2,9)

Answers

Answer:

Slope = undefined.

Step-by-step explanation:

Given two points:

(2,3) & (2,9)

To Find:

The slope

Solution:

Using slope's formulae,

[m denotes slope]

[tex] \boxed{ \rm{m = \cfrac{y_2 -y_1 }{x_2 - x_1} }}[/tex]

According to the question,here:

(y_2,y_1) = (9,3)(x_2,x_1) = (2,2)

Substitute them onto the formulae:

[tex] \rm \: m = \cfrac{9 - 3}{2 - 2} [/tex]

Simplify.

[tex] \rm \: m = \cfrac{6}{2 - 2} [/tex]

[tex]\rm \: m = \cfrac{6}{0} = \boxed{ \rm \: undefined}[/tex]

if an expression contains division by 0 , then It's undefined.

So, slope(m) = undefined.

state the value of factorial 6 !
[tex] \\ [/tex]

ty! ._.

Answers

6*5*4*3*2*1 = 720

hope this helps!
Hello !

──────⊹⊱✫⊰⊹──────

What is the State the value of factorial 6 ?

Aɴsᴡeʀ :-

720

✔︎ Expʟaɴaᴛiᴏn :

Because we have to do first !

ɴ = ɴ × (ɴ - 1) × (ɴ – 2) × (ɴ – 3) = 6

So your factorial will be 6.

Oʀ, ʏᴏᴜ ᴄᴀɴ ᴅᴏ ɪs:-

6 = 6 × (6 -1) × (6 – 2) × (6 – 3) × (6 – 4) × 1

720.

Aɴᴅ, ʏᴏᴜ ᴄᴀɴ ᴅᴏ ɪs.

6 × 5 × 4 × 3 × 2 × 1

= 720

Thus, your factorial will be 6 is 720.

Hope It Helps! ~

Aɴsᴡeʀ :-

Sxɴɴʏsᴏᴜʟ
.



Evaluate 6ab + 2c if a = 3, b = 10, and c = 7

Answers

Answer:

6 (3 ×10 ) + 2 (7)

6(30) + 14

180 + 14

= 194

Answer: 194

Step-by-step explanation:

Given:

6ab + 2c

a = 3, b = 10, c = 7

Solve:

1. Plug in what you know and solve for your answer

⇒ 6(3)(10) + 2(7)

⇒ 6(30) + 14

⇒ 180 + 14

194

How to find area of a composite figure PLS HELP

Answers

Answer:

5×5=25

8×5÷2=20

25+20= 45

area of a composite 45

Which graph shows the solution to the system of linear inequalities?

Answers

Answer:

this is answer

Step-by-step explanation:

To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.

Nannette buys a $5000 20-year bond that has a coupon rate of 2.5 %. If she keeps the bond to maturity, how much money plus principal interest will she have collected over the life of the bond?

Answers

The total amount collected over the life of the bond is $7,500.

What is the total amount collected?

A bond is a debt instrument that entitles its holder to regular interest payments. At the end of the life of the bond, the bondholder receives the amount invested back.

Total earnings = interest + amount invested

(20 x 0.025 x 5000) = $2500

Amount invested = $5000

= 2500 + 5000 = $7,500

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How much would you have to
deposit today to have an
accumulated amount of
$20,000 in 20 years if yearly
interest is 4.75% compounded
continuously?

Answers

Answer:

If it went up it would be: 50596.35 and if it went down it would be: 7556.66

Step-by-step explanation:

Here will be the function if it went up:

20000(1+0.0475)^20

Here’s if it went down:

20000(1-0.0475)^20

At a Forex Bureau, one US dollar costs Ug.sh.2800. How much Ugandan shillings will a tourist who has US dollars 600 get?​

Answers

Answer:

1,680,000 shillings

Step-by-step explanation:

As one US dollar is 2800, and the dollar is repeated 600 times. You multiply Both

=2,800×600

=1,680,000 shillings

--~Hope you understood~--

Round off 380•59 to the nearest whole number easy 5points​

Answers

Answer:

381

Step-by-step explanation:

that's the nearest whole number

[tex]x^{2} +x = 12[/tex]
answer ?

Answers

Answer:

x = 4 and x = -3

Step-by-step explanation:

⇒ x² + x = 12

⇒ x² + x - 12 = 0

⇒ x² + 3x - 4x - 12 = 0

⇒ x(x + 3) - 4(x + 3) = 0

⇒ (x - 4)(x + 3) = 0

x = 4 and x = -3

Hey there!

x^2 + x = 12

SUBTRACT 12 to BOTH SIDES

x^2 + x - 12 = 12 - 12

SIMPLIFY IT!
x^2 + x - 12 = 0

SET the FACTORS to EQUAL to 0

x - 3 = 0 OR x + 4 = 0

SIMPLIFY IT!
x = 3 or x = -4


Therefore, the answer is:

x = 3 or x = -4


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Helppp I need this asap

Answers

Answer:

[tex]x = 35[/tex]

Step-by-step explanation:

We can use Similar Triangles Ratios to solve for the missing side length. First setup your ratios:

[tex]\frac{42}{6} = \frac{x}{5}\\x = \frac{42}{6} \times 5\\x = 35[/tex]

Answer:

35

Step-by-step explanation:

The sides are in proportion.

[tex]\frac{AB}{PQ} =\frac{AC}{PR}[/tex]? / 5 = 42 / 6? = 5 × 7? = 35

What is the median of this data set?

{16, 16, 16, 19, 20, 22, 23, 24, 24}

Answers

Answer:

The median is 20

Step-by-step explanation:

They are already in order so you would just have to find the middle.......

Hope this helps.......if not then sorry for wasting your time and may God bless you

Please help I put 50 points into this

Answers

Answer:

B,C,E

Step-by-step explanation:

Answer:

A, C, D

Step-by-step explanation:

A ray can have 2 endpoints

And because of that it can be named more than one way.

That means that  B&E are wrong

Steven is puiting a design that contains two repeating patterns that start in the same place. One pattern repeats every 12 inches and the other repeats every 18 inches. How many inches will it take for the patterns to begin together again?

Answers

Answer:

36

Step-by-step explanation:

So, taking 12 inches and 18 inches, we can figure out where they both meet. To do this, you want to change these number into a fraction (12/18). Simplifying this gives you 2/3. So if you flip this fraction (3/2) and then use these number and multiply them with the first numbers (so we do 3*12 and 2*18, they both equal 36, so they would both meet at 36, our final answer. they would also meet at 72, 108, 144, etc. if you were to keep going.

Find the median, first quartile, third quartile, and interquartile range of the data.

14,25,97,55,66,28,92,38,94





































Find the median, first quartile, third quartile, and interquartile range of the data.

14,25,97,55,66,28,92,38,94

Answers

Median: 55, first quartile: 26.5, third quartile: 93, interquartile: 66.5

Answer:

BELOW IN BOLD.

Step-by-step explanation:

14,25,97,55,66,28,92,38,94

Arrange these in ascending order:

= 14 25 28 38 55 66 92 94 97

The median = middle number = 55.

First quartile = (25+28)/2 =  26.5.

Third quartile = (92 + 94)/2 =  93.

Interquartile range = 93 - 26.5 = 66.5.

6) What time will it be 17 hours and 53 minutes before 4:37 a.m.? Military time

Answers

Answer:

17:53=5:53pm

Step-by-step explanation:

A regular-size box of dog treats measures 314 inches by 712 inches by 12 inches. The manufacturer also sells a small-size box that has a volume that is 310 of the volume of the regular-size box.

What is the volume of the small-size box of dog treats?

Enter your answer as a mixed number in simplest form by filling in the boxes.


(its going to be a mixed number) in³

Answers

The volume of the small-size box of dog treats will be equal to    V=8654.24 In³

What is volume?

Volume is defined as the space occupied by any body in the three-Dimensions. All three parameters are required for the volume like length,width and height of the cube or Cuboid

The volume of the rectangular box will be:-

V=LxWxH

V=314x712x12

So the volume of small size box will be:-

V=2682816÷310=8654.24

Hence the volume of the small-size box of dog treats will be equal to

V=8654.24 In³

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