Mathematics Middle School

Mrs. Synder must choose two of her homeroom students to be class representatives. The class consists of 13 girls and 9 boys. Approximately what percent chance is there that the first student chosen is a boy and the second student chosen is a girl? (Round to the nearest percent)

A. 10%

B. 25%

C. 22%

D. 15%

Answers

Answer 1

9/22 x 13/21 = 0.25 = 25% B

Answer 2

Answer: B. 25%

Step-by-step explanation:

Given : Number of boys in the class = 13

Number of girls in the class = 9

Total students = 13+9=22

Now, the number of ways to choose first boy then a girl =[tex]13\times9=117[/tex] (1)

Number of ways to choose nay two students :-

[tex]{22}P_{2}=\dfrac{22!}{(22-2)!}\\\\=\dfrac{22\times21\times20!}{20!}=462[/tex] (2)

Now, the probability that the first student chosen is a boy and the second student chosen is a girl :-

[tex]\dfrac{117}{462}=0.253246753247\approx0.25[/tex] [Divide (1) by (2)]

In percent , [tex]0.25\times100=25\%[/tex]

Hence, approximately 25% chance that the first student chosen is a boy and the second student chosen is a girl.

Related Questions

I'll company sells happy cherry make they make a large batch is of makes that can be used to feel 250 backseat determine night how many pounds of each ingredient should be used to make one patch of apple cherry mix then decide how much the company should charge for each bag of Apple cherry mix and explain how how you made your decision

Answers

First we need to see how many ingredients we are going to be using, making pies requires flour, butter, sugar, apples, cherries, puff pastry, so a lot factors into actually being able to come up with a exact number for how much it should be priced.

r = 2/3t + v , for t
need answer a how u got it

Answers

R= 2/3t + v
R-v=2/3t
3(R-v)=2t
t= 3(R-v)/2

Final answer:

To solve the equation r = 2/3t + v for t, subtract v from both sides and then multiply by the reciprocal of 2/3. The final equation is t = (3/2)(r - v).

Explanation:

You are looking to solve the equation r = 2/3t + v for t. To do this, you need to isolate t on one side of the equation. Here are the steps:

Subtract v from each side. This gives us: r - v = 2/3t. To get t alone, we need to get rid of 2/3. Therefore multiply both sides of the equation by the reciprocal of 2/3, which is 3/2, resulting in: (3/2)(r-v) = t.

So the answer is t = (3/2)(r-v).

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A semiconductor manufacturing company employs 1,000 people. The average weekly salary of each employee is $750. Select the graph that correctly shows the total cost to the company of paying its employees during a year.

Answers

I'd say the top one. The second and third both exceed a year. The last seems to be similar to the top, but I was taught that the dependent variable is the y axis.

Answer:

Option A

Step-by-step explanation:

The semiconductor manufacturing company employs 1000 people average weekly salary of each employee is $750.

So total cost to the company = 750 × 1000

= $750,000 per week.

From the given graphs, the ratio of amount to weeks will show the cost to the company for a week.

Graph A. Cost to the company = [tex]\frac{300\times 1,000,000}{40}[/tex] =

$750,000 per week.

This graph is for 52 week so the correct one.

Graph B. Graph B is same as graph A but data is given for more than 60

weeks so incorrect graph.

Graph C. Ratio of amount and weeks is [tex]\frac{40000000}{30}[/tex]

= $1333333.33 per week So incorrect option.

Graph D. Graph D is same as graph A and B but it is for less than 40 weeks.

So Incorrect graph.

Option A is the answer.

What is 1/8 in decimal form?

Answers

The answer is 0.125. Hope this helps

Name two different numbers that round to 30 when rounded to the nearest ten

Answers

when you round 27 to the nearest 10 it gives you 30 and when you round 33 it also gives you 30

29. 9 and 30 .2 when round will round to 30

how do you graph 8a-10=38 but a=6?

Answers

To graph this equation, I am going to change it up so you can understand. a, in this case, is x and 38 would be y(but it is already solved). Therefore the equation is y = 8x - 10. This follows the format y = mx +b.

To graph: Since your x is 6, your y is missing, but since it's already solved it's 38. Your coordinates would (6, 38).

Find 2 pairs of numbers whose LCM is the product Of The Numbers

Answers

5 and 4
3 and 2

Since these two pairs of numbers have no common factors, the LCM will be the product of them.

Hope this helps!

Final answer:

Pairs of numbers whose LCM is the same as their product occur with prime numbers or the number one with any other number. For instance, 2 and 3, and 1 and 6 are such pairs of numbers, since their LCM and their product is 6 in both cases.

Explanation:

To find two pairs of numbers whose LCM (Least Common Multiple) is the product of the numbers themselves, you need to understand that this will only happen with pairs of prime numbers or the number one with any number. Prime numbers are those numbers that have only two distinct positive divisors: 1 and the number itself. If you multiply two prime numbers, or a number and the number one, the product will be their LCM. For example, if you take the numbers 2 and 3, which are both prime, their product is 6 and so is their LCM. The same thing happens if you take the numbers 1 and 6, whose product is 6, and 6 is also their LCM. So, 2 and 3, and 1 and 6 are two pairs of numbers whose LCM is the product of the numbers.

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Can you help me??? I just need 6,8,10

Answers

10) 6(x + 3) = 21
6x + 18 = 21
6x + 18 -18 = 21 - 18
6x = 3
6x/6 = 3/6
x = 1/2

6) w- 4/9 = (-4/5) / (3/2)
w - 4/9 = -4/5 x 2/3
w - 4/9 = -12/15
w - 20/45 = -36/45
w = 20/45 - 36/45
w = -16/45

hope this helps

whats 11/12 + (−7/12) in simplest form

Answers

The answer is 1/3 or 4/12

11/12 + (−7/12) in simplest form is 1/3

Subtract
6 2/3 - 4 4/9

Answers

6 2/3 = 20/3 = 60/9

4 4/9 = 40/9

60/9 - 40/9 = 20/9 = 2 2/9

6 2/3 - 4 4/9
= 6 6/9 - 4 4/9
= 2 2/9

What property is 6 (m×n)=(6×m)n

Answers

6 ( m x n) = ( 6 x m) n

If you notice only the placement of the parenthesis changed not the order of the numbers.....

So the property that is being used is ASSOCIATIVE PROPERTY OF MULTIPLICATION

28 people are going to the movies; they have 3 vans and 1 car.

If 8 people ride in each van, how many will ride in the car?

Answers

28 people going.....3 vans and 1 car....8 people per van
if there is 8 people per van, and there is 3 vans....8 * 3 = 24 people take the vans......leaving 28 - 24 = 4 people taking the car <==

The answer is 4 people will be in the car

What two integers is the square root of 87 between

Answers

nine and ten is the answer

The two integers that surround the square root of 87 are 9 and 10.

The first step is to find out the square root of 87:

= √87

= 9.33

Integers are all whole numbers numbering from 1 to infinity so the two integers the square root will be between are the integers immediately below 9.33 and above it. These numbers are:

9 and 10

9 is immediately below 9.33

10 is immediately above 9.33

In conclusion, the square root of 87 is between 9 and 10.

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What are two lines in the same plane that intersect at right angles?
A) angle
B) line segment
C) parallel lines
D) perpendicular lines

Answers

The correct answer is B.line Segment

Hope this helps

Answer:

its d trust me im on usatestprep

Step-by-step explanation:

Does X = 1.6 satisfy the equation 6-4x = -x/4

Answers

Plug x in → 6-4(1.6)=-(1.6)/4 ⇒ -0.4=-0.4 so they are equal.

(1 + 2i) • (5 − 3i)

5 - 6i
11 + 7i
3+2i
2-15

Answers

The answer is A. 5-6i.

Answer:

A) 5-6i

Step-by-step explanation:

did it on flvs

Calculate 6231+2787 by rounding each number to the nearest:

1000
100
50
10

Answers

6231+2787= 9018
Which rounds off to 1000 if they want you to do it to the nearest thousand

Conversión a fracción de 0.355

Answers

335/1000 if you read it out loud .335 is three hundred fifty-five thousandths

Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made. −5x − 25 = 78 Step 1: −5x − 25 − 25 = 78 − 25 Step 2: −5x = 53 Step 3: negative five times x over negative five = fifty-three over negative five Step 4: x = negative fifty-three over five Step 1: She should have added 25 to each side. Step 1: She should have divided both sides by −5. Step 3: She should have divided both sides by −5. Step 3: She should have multiplied both sides by −5.

Answers

Hi there! Her mistake is in step 1.

She subtracted -25 by 25. -25 - 25 = -50

What she SHOULD have done was add 25 to each side. This obeys the property of reciprocals.

-25 + 25 = 0

Hope this helps.

:)

Have you tried solving x yourself to possibly identify the error?

We know that if we have something like
2x - 3 = 2 and to solve for x, we have to get x alone as much as we can. We have to take the opposite of -3 (which is +3) and add it to both sides of the equations
2x - 3 + 3 = 2 +3 , what that does is cancel out the three on both sides.

For this situation Erica has -5x -25 = 78 the first step she took to try and get x alone as much as she could was to subtract 25 on both sides, which is wrong!!
-5x - 25 - 25 = 78 -25 does not cancel 25 on the left hand side. In fact it doubles it.

So Erica messed up on step 1. She should have added 25 on both sides.

Please find "s"

11 = -6s

Answers

The answer to this question is -11/6

Since s is multiplied by -6, divide both sides by -6 to isolate s.

11=-6s
11/-6= -6s/-6
-11/6= s

Final answer: s=-11/6

solve for the indicated variable u=x-k, for x

Answers

x = u + k
hope this helps & hope I get the brainliest answer

remember, you can do anything to an equation as long as you do it to both sides

u=x-k
add k to both sides
u+k=x-k+k
u+k=x+0
u+k=x
x=u+k

Ladonna is running for city council. She needs to get 5/6 of her votes from senior citizens and 36,000 votes in all to win. How many votes does she need from voters other than the senior citizens

Answers

7200? I believe im wrong

The answer is in fact 30,000

Greatest common factor or 60 and 20

Answers

To find the greatest common factors of these 2 numbers, first write them as product of prime numbers.

(a prime number is a number whose only factors are 1 and themselves, for example: 2, 3, 11 ...etc)

To write the numbers as product of prime factors, just divide them continuously until all factors are primes:

[tex]60=6\cdot10=(2\cdot3)\cdot(2\cdot5)=2\cdot2\cdot3\cdot5\\\\20=2\cdot10=2\cdot(2\cdot5)=2\cdot2\cdot5[/tex]

The greatest common factor, must contain the largest number of common factors found in both numbers which are 2- 2's and one 5

So the greatest common factor is [tex]2\cdot2\cdot5=4\cdot5=20[/tex]

Answer: 20

The greatest common factor of the numbers 60 and 20 is 10.

We have,

To find the greatest common factor (GCF) of 60 and 20, we can list the factors of both numbers and identify the largest factor they have in common.

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.

The factors of 20 are: 1, 2, 4, 5, 10, 20.

From the list above, we can see that the common factors of 60 and 20 are 1, 2, 4, 5, and 10.

Among these common factors, the largest one is 10.

Therefore,

The greatest common factor of the numbers 60 and 20 is 10.

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On which section will you write $50 cash?

1) A

2) B

3) C

4) D

Answers

The fourth option, D.

Find the value of the following expression:

(2^8 ⋅ 3^−5 ⋅ 6^0)^−2 ⋅ 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 2^28
Write your answer in simplified form. Show all of your steps.

Answers

[tex](2^8*3^{-5}*6^0)^{-2}*( \cfrac{3^{-2}}{2^3} )^4*2^{28}\\ \\\\ = (\cfrac{2^8}{3^5}*1)^{-2} *( \cfrac{1}{3^2*2^3} )^4*2^{28}\\\\\\=( \cfrac{3^5}{2^8} )^2* \cfrac{1^4}{3^{2*4}*2^{3*4}} *2^{28}\\\\\\= \cfrac{3^{5*2}}{2^{8*2}} * \cfrac{1}{3^8*2^{12}} *2^{28}\\\\\\=\cfrac{3^{10}}{2^{16}} * \cfrac{2^{28}}{3^8*2^{12}}\\\\\\= \cfrac{3^{10}*2^{28}}{3^8*2^{16+12}} \\\\\\=\cfrac{3^{10}*2^{28}}{3^8*2^{28}} \\\\=3^{10-8}*2^{28-28}\\\\=3^2*2^0\\\\=9*1\\\\=9[/tex]

Thank you, I was having a little bit of trouble with this, but then you helped.

What is the answer to -5/8y=-1/2

Answers

-5/8y = -1/2

(-5/8y)/(-5/8) = (-1/2)/(-5/8)

y = 1/2 x 8/5
y = 8/10
y = 4/5

hope this helps

Write 64,500 in scientific notation

Answers

6.45 x 10 to the 4th.

Last year, the Humane Society of a certain city took in 21,320 animals. If the Humane Society was open all 52 weeks that year, how many animals were taken in each week on average?

Answers

21,320 animals / 52 weeks
= 410 animals per week on average

Hope this helped.

they took in 410 animals each week

What is the standard form of the number three million , sixty thousand, five hundred twenty?

Answers

3,060,520 is the standard form

The answer is 3,060,520.

the value of the digit 9 is 2,107,954

Answers

The value of the digit 0 is 10 thousand.
What you have to do is break down the numbers so since there is no 0 in 954, then you would move on to the next 3 sets of numbers of which, if the number was just 107, you could see that the 0 is in the tens place and since it is actually 107,000, then you would say that the 0 is in the ten thousands place.

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