Colin, Michael, and John are among 15 singers
in the community choir. Three members of the
choir will be selected at random to sing the
national anthem at the next city council meeting.
What is the probability that Colin, Michael, and
John will be the 3 singers chosen?
A.
1/910

B.
2/1125

C.
1/455

D.
1/5

Answers

Answer 1

Answer:

OPTION D

NO. OF SINGERS=15

NO. OF FRIENDS =3

THERE PROBABILITY =3/15=1/5


Related Questions

Are the following proportional? Explain or show
your reasoning
3/5 and 18/25

Answers

Answer:

No, they are not proportional. 3/5 with equal out to 15/25 by using the method of Least Common Denominator!

Step-by-step explanation:

Hope this helps :)

You have a cup with 19 coins inside. The total inside the cup is $1.30. Determine how many nickels and dimes are inside the cup. Use a system of equations. Be sure to defined the variables and show all your work. PLS HELP!

Answers

Answer:

7 dimes and 12 nickels.

Step-by-step explanation:

12 nickels = $0.60 and 7 dimes = $0.70. $0.70 + $0.60 = $1.30.

find EF given E (-7, -2) and B (11, 3)
how do i solve this?

Answers

Answer:

EF ≈ 18.68

Step-by-step explanation:

Based on the info I am given I believe they are asking for the distance between E and F (i think you wrote B by mistake). (d = distance)

d =√ (x2 - x1)² + (y2 - y1)²   -->   (this is the distance formula)

d =√ (11 - (-7))² + (3 - (-2))²

d =√ (18)² + (5)²

d =√ 324 + 25

d =√ 349

d ≈ 18.68

[tex]\frac{1}{3} (21y + 39) = -36[/tex]

Answers

1/3(21y+39)=-26 can be simplified into

7y +13 = -26

Next, subtract 13 from both sides

7y= -39

Now divide both sides by 7

Your answer is y=-39/7

Answer:

y = -7

Step-by-step explanation:

1/3 (21y+39) = -36

Distribute

7y +13 = -36

Subtract 13 from each side

7y+13-13 = -36-13

7y = -49

Divide each side by 7

7y/7 = -49/7

y = -7

PLEASE HELP, I UNDERSTAND BUT DONT UNDERSTAND

Answers

Answer:

(7/12) + (4q/6)

Step-by-step explanation:

[tex] \frac{11}{12} - \frac{1}{6} q + \frac{5}{6} q - \frac{1}{3} \\ = \frac{11}{12} + \frac{4}{6} q - \frac{1}{3} \\ = \frac{11}{12} - \frac{1}{3} + \frac{4}{6} q \\ = \frac{11}{12} - \frac{4}{12} + \frac{4}{6} q \\ = \frac{7}{12} + \frac{4}{6} q[/tex]

Answer:

Step-by-step explanation:

Like terms have same variable with same power.

(11/12  and 1/3 are like terms)  & (-1q/6 & 5q/6 are like terms}

[tex]\dfrac{11}{12}-\dfrac{1}{6}q+\dfrac{5}{6}q-\dfrac{1}{3}=(\dfrac{11}{12}-\dfrac{1}{3})-\dfrac{1}{6}q+\dfrac{5}{6}q\\\\=(\dfrac{11}{12}-\dfrac{1*4}{3*4})+[\dfrac{-1+5}{6}]q\\\\=(\dfrac{11}{12}-\dfrac{4}{12})+\dfrac{4}{6}q\\\\=\dfrac{(11-4)}{12}q+\dfrac{4}{6}q\\\\=\dfrac{7}{12}+\dfrac{4}{6}q[/tex]

what is the solution to the compound inequality in interval notation​

Answers

Answer:

First choice is the right answer (-∞, -9] or (2, ∞)

Step-by-step explanation:

I. Solve 1st problem 2(2x - 1)  > 6

                 4x-2 > 6

                 4x > 6+2

                  x > 2

II. Solve 2nd problem x + 3 <=  -6

                 x <= -6-3

                 x <= -9

III. Prove the answer

         if x > 2 then x = 3

          2( 2(3)-1 ) > 6

          2(5) > 6

           10 > 6  so the answer is true

     

         if x <= -9 then x = -9

           -9 + 3 <= -6

                  -6 <= -6 so the answer is true

Hope that help :D

4 - 2(x-4)/ 3= 3(2x+5)/2
linear equation in one variable
no spamms❌❌❌❌​

Answers

Step-by-step explanation:

4-2x+8/3 = 6x+15/2

12-2x+8/3= 6x+15/2 ( taken LCM. of 1,3,3 in LHS)

20-2x/3=6x+15/2

Do cross multiplication

2(20-2x) = 3(6x+15)

40-4x=18x+45

-4x-18x=45+40

-22x= 85

-x= 85/22

x= - 3.86..

hope it helps

can someone solve this for me?

Answers

To result in a dilation that is larger than the original figure, your scale factor needs to be greater than 1. Multiplying by a number greater than 1 makes things grow.

The only number greater than one is 4/3.

Which equation represents a population of 490 animals that increases at an annual rate of 20% ?

Answers

Answer:

Step-by-step explanation:

The standard form of this exponential function is

[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth rate. Our initial value is 490 and our growth rate is .2 so the equation is

[tex]y=490(.2)^x[/tex]

Please answer this
Answer choice
A. Subtraction Property Of Equality
B.Associative Property Of Equality
C.Division Property Of Equality
D.Addition Property Of Equality

Answers

Answer:

step 1. Subtraction Property Of Equality

step 2.Associative Property Of Equality

step 3.Division Property Of Equality

I need help on this question, geometry basics.

Answers

Step 1 : F

Step 2 : C

Step 3 : B

Step 4 : E

Step 5 : D

Step 6 : A

Write 6.21 as a mixed number in simplest form.

Answers

Answer:

6.211=( 6.21×100) (1×100) =621100

Hope that helped you

Answer: 6 21/100

Explanation:

6.21 = 621/100 = 6 21/100

9. Tobias ran 3 miles. How many millimeters did he run? (1 mile = 1,610 meters)

Answers

Welcome to Brainly! I'm happy to help!

We see that there are 1,610 meters in a mile. However, we are looking for millimeters, not meters. But, knowing the meters will help us out.

A millimeter is a very small measurement. There are 1,000 millimeters in 1 meter. A meter is much larger. So, if we want to convert 1,610 meters to millimeters, there are going to be way more millimeters because they are so minute.

This means that we will have to multiply. We know that there are 1,000 millimeters in 1 meter, so if we multiply our meters by 1,000 (which is basically just adding 3 zeros), we will get the number of millimeters in one mile!

1,610×1,000=1,610,000 (one million six hundred and ten thousand!)

Don't forget that we are looking for 3 miles though, so we can take the number of millimeters in one mile and multiply by three.

1,610,000×3=4,830,000 (four million eight hundred and thirty thousand!)

So, Tobias ran 4,830,000 millimeters!

Have a wonderful day and keep on learning! :D

Match each value with its formula for ΔABC.




(choices are in 2nd pic)

Answers

Answer:

1- x b

2-sinc

3-sin b

4-sin a

5- x c

6- x a

Step-by-step explanation:

9 + x + 1 + 2x

Can someone help me out with this :)

Answers

Answer:

3x + 10

Step-by-step explanation:

9 + x + 1 + 2x

Combine like terms

2x + x = 3x

Combine like terms

9 + 1 = 10

We’re left with 3x + 10

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{9 + x + 1 + 2x}[/tex]

[tex]\huge\text{= 9 + 1x + 1 + 2x}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\huge\text{= (9 + 1) + (1x + 2x)}[/tex]

[tex]\huge\text{= 10 + 3x or 3x + 10}[/tex]

[tex]\huge\text{Answer: \textsf{3x + 10}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Can you please show all your work plus the equation

Answers

I need a pic or a document

Find the constant of proportionality (r) in the equation y=rx

Answers

Answer:

r = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given the proportional equation

y = rx ← r is the constant of proportion

Divide both sides by x

[tex]\frac{y}{x}[/tex] = r

Use any ordered pair from the table.

Using (8, 2 ) , then

r = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

1/4

Step-by-step explanation:

Multiplying the input (x) by (1/4) results in the output.  This is direct proportion, and the constant of proportionality is (1/4).

Plz Help!!
Kim is planning to rent a bike. It costs $15 per day plus $5 per hour. Kim's total bill was $100, how many hours did she rent the bike?

Answers

Answer:

17 hours

Step-by-step explanation:

total cost = fee + cost per hour * hours

100 = 15 + 5h

Subtract 15 from each side

100-15 = 5h

85 = 5h

Divide by 5

85/5 = 5h/5

17 =h

Answer:

Kim rent the bike for 17 hours.

Step-by-step explanation:

h=hours

15 + 5h = 100

Subtract 15 on both sides.

5h = 85

Divide 5 on both sides.

h = 17

if a set of 14 pens is 12.44 then what is the cost of each pen

Answers

Answer:

Convert to a decimal by dividing the numerator by the denominator.

$1.15 = Estimate.

pens per then .

Step-by-step explanation:

14 Divided 12.44

Midpoints & endpoints

Answers

Answer:

The coordinates of A are (1, -4)

Step-by-step explanation:

The formula for finding a midpoint is ((x1 + x2) / 2, (y1 + y2) / 2)

However, in this problem, we're already given the midpoint.  We're trying to find an endpoint.  So, the equation changes into:

((x + 9) / 2 = 4, (y + 0) / 2 = -2)

For the x and y coordinates, multiply both sides by 2

(x + 9 = 8, y = -4)

(x = -1, y = -4)

Rewrite as coordinates.

(-1, -4)

hey please help where it has the < thing it says “ones” “tens” “nines”

Answers

Answer:

[tex]9 \times 9 = 10nines - 1nine \\ 9 \times 9 = 90 - 9 \\ 9 \times 9 = 81 \\ thank \: you [/tex]

Claire is c years old now. In 6 years' time she will be 18.

Answers

She is 12 years old now as he will be 18 in 6 years

Answer:

12

Step-by-step explanation:

she is now 12 years old.how easy question.

Which table has a constant of proportionality between y and 2 of 0.3?
Choose 1 answer:
х
y
6
2.
А
12
4
30
10
х
у
3
1.8
B
7
4.2
9
5.4
T
y
4
1.2
с
8
2.4
13
3.9

Answers

Answer:

C

Step-by-step explanation:

y=kx or xy=k are true such that k=0.3

in C, 1.2=4*0.3, 2.4=8*0.3, and 3.9=13*0.3, so C follows this rule

if two rectangles have the same perimeter, do they have to be congruent??​

Answers

Answer:

No they do not have to be congruent.

Two rectangles with the same perimeter but may not be congruent, because the length and width dimensions of each may be different.

Line RS bisects segment PQ at R. If RQ = x + 9 and RP = 2x, find PQ.

Answers

Answer:

PQ measures 36 units.

Step-by-step explanation:

Line RS bisects segment PQ at R. By the definition of a bisector:

[tex]\displaystyle PR = RQ[/tex]

Hence:

We are given that RQ = x + 9 and RP = 2x, and we want to determine PQ.

Solve for x. Substitute:

[tex]\displaystyle (2x) = (x+9)[/tex]

Hence:

[tex]\displaystyle x = 9[/tex]

PQ is given by:

[tex]\displaystyle PQ = PR + RQ[/tex]

Since PR = RQ:

[tex]\displaystyle PQ =2PR[/tex]

Substitute and evaluate:

[tex]\displaystyle \begin{aligned} PQ &= 2PR \\ &= 2(2x) \\ &= 4x \\ &= 4(9) \\ &= 36 \end{aligned}[/tex]

Hence, PQ measures 36 units.

help plss!! Directions: Translate into mathematical expressions. Example: The sum of three times a number and 10- (3n + 10)

pleasee do all of these problems now!! and i will mark u branliest if u get at least 4 of em right:)
1. Twelve less than z
2. Twice take the sum of x and y
3. Six less than four times a number
4. Twice the sum of v and 5
6. The average of test scores x and y
7. The cost of m kilograms of meat at $3.95 a kilogram​​

Answers

1. z - 122. 2 (x + y)3. 4x - 64. 2 (v + 5)6. [tex] \frac{x + y}{2} [/tex]

7. m * $3.95

Hope this answer helps you..

Indicate the answer choice that best completes the statem
Write each equa ton in standard form. Identify A, B, and c
y=3/8x+5

Answers

Answer:

y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina

Step-by-step explanation:

The ratio of oranges to apples in a basket is 3:4. If 6 oranges were taken from the basket and 6 apples were added to the basket, the ratio of the number of oranges to apples would be 1:6. How many more apples than oranges are there in the original basket?

Answers

Answer:

There was 9 oranges and 12 apples in the original basket

Step-by-step explanation:

3:4

9:12

subract 6 oranges and add 6 apples

3:18

divide by 6

1:6

Monica has $10-off coupon. write an expression that describes the cost of t T-shirts, not including sales tax.

Answers

Answer:

19.95t - $10

Step-by-step explanation:

I think this is the answer but i could be absolutely wrong

How do you factorise with letters and numbers please explain clearly example
7ab+14b how do I put that in brackets and what are the rules when factoring

Answers

Answer:

7b(a+2)

Step-by-step explanation:

First. look at the coefficient. See if they are common multiple of some number. If so find the GCF between them.

Then find the variable both terms share.

Put the GCF coeffiecnt and the variable both terms share outside the parentheses.

Inside the parenthesis will be a term that multiplied by the term outside of the parenthesis will equal the original equation.

For example, 7ab+14b.

Set up equation.

[tex]7ab + 14b[/tex]

Both terms share a b variable and 7 and 14 GCF is 7 so

let factor out 7b.

[tex]7b(a + 2)[/tex]

Why is inside the parenthesis is the term (a+2). If we divide 7ab+14b by 7b separately we get

[tex]a + 2[/tex]

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