At the school carnival, 50 sixth-grade, 30 seventh-grade, and 40 eighth-grade students bought tickets for the raffle. At the end of the night, Quincy draws out two names without replacement. What is the probability that she draws two-seventh-grade students? Please explain?

Answers

Answer 1

Answer:

1/60

Step-by-step explanation:

50+30+40=120 (take all the students and add them together.)

2/120 (you only want 2 seventh graders)

simplified is 1/60

Answer 2

The probability that Quincy draws two-seventh-grade students is  0.061, or 6.1%.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

There are a total of 50 + 30 + 40 = 120 students who bought tickets for the raffle.

Quincy draws two names without replacement, which means that the total number of possible outcomes is given by the combination formula.

Total number of outcomes = C(120, 2) = 7,140

Now, we need to find the number of outcomes in which Quincy draws two-seventh-grade students.

Let us calculate the number of ways in which Quincy can choose 2 students from the 30 seventh-grade students

Number of ways to choose 2 seventh-grade students = C(30, 2) = 435

Therefore, the probability of Quincy drawing two-seventh-grade students is:

Probability = Number of desired outcomes / Total number of outcomes

Probability = C(30, 2) / C(120, 2)

Probability = 435 / 7,140

Probability ≈ 0.061

Hence,  the probability that Quincy draws two-seventh-grade students is  0.061, or 6.1%.

To learn more on probability click:

https://brainly.com/question/11234923

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Related Questions

Mr. Bond wrote the inequality –46 < –34. Write a sentence about a real-life situation that compares the values from his inequality.

Answers

Answer:

We have the inequality:

-46 < -34

This naturally happens because -46 is at the left of -34 in the number line, meaning that -46 is smaller than -34.

An example to see this is suppose that these numbers represent money.

Because the numbers are negative, then these represent money you owe.

-46 means that you owe $46

-34 means that you owe $34

Then if we are counting the money you have, owing $34 means that your money is larger than if you owe $46.

Another example is if these numbers represent distance under the surface of the water.

-46 means that you are 46 ft under the surface of the water

-34 means that you are 34 ft under the surface of the water.

Clearly, in the second case your altitude is higher than in the first one, so again, the inequality is true.

What is the scale factor and x value?

Answers

don’t click on the li

Can someone help only answer if you know and scam links are getting reported

Answers

Answer:

12 cubic centimeter blocks are in the bottom layer

pls help :D

( #7- it’s a -5 )

Answers

Answer:

Use rules of logarithms to expand.

Undefined!

Step-by-step explanation:

WHAT IS THE RANGE FOR THIS GRAPH?

PLEASE HELP

Answers

Answer:

[0,5] or 0≤ y≤ 5

Step-by-step explanation:

Not 100% certain but all the values are included even though there is an open circle

Who can solve and attach a pic so I can write down how I got the answer

Answers

do NOT click on that file! it’s a virus :( ^

What type of graph would have the title, "Mile Time of a Typical 5th Grade Student

Answers

Bar graph or plot graph

Answer:

bar graph or line plot

Step-by-step explanation:

WHAT IS THE SURFACE AREA OF THE SHAPE DUE BY 5:00 PM PLZ WITH WORK

Answers

Answer:

120

Step-by-step explanation:

Answer: 156mm sq for the rectangle and 100mm sq for the triangle

what value of n make this equation true 12(n+6)=96

Answers

Answer:

2

Step-by-step explanation:

(6+2)x 12 =96

Answer:

2

Step-by-step explanation:

12(2+6)=96

12×8=96

I need 20 characters so yeah. Have a great day.

Will give brainlyest to the first correct answer! Easy points

Answers

Answer:

its most likely A

Step-by-step explanation:

Considering it goes at a steady rate with the second variable being reasonably scattered, the level of pure water would obviously go down not up,considering you are adding frogs. than again i havent really reached this degree of mathematics. But through reasoning i beleive it's A

I did this problem almost 2 years ago and I’m pretty sure it’s A


Which mixed number represents point D?
A)3 1/10

B)2 9/10

C)2 10/10

D) 3 2/10

Answers

Answer:

1/10

Step-by-step explanation:

in 2010. 465 students went to a certain school. In 2014, 372 students went to the same school. By what percent did the number of students decrease?

Answers

Answer:

20%

Step-by-step explanation:

465 - 372 = 93

93/465 = 0.2

0.2 × 100 = 20

Hope this helps !

hello please help thanks

Answers

Answer:

most likely the last choice

Step-by-step explanation:

Answer: during evaporation

Step-by-step explanation: the sun heats up the water which caused it to evaporate

Solve the equation using Order of Operations. (It's in the picture)
A) 87
B) 101
C) 68
D) 99

I am not allowed to use a calculator, by the way.

Answers

Step-by-step explanation:

(38+45)+9*2+3-59+((4/2)*3+8*5)=

83+18+3-59+(6+40)=

83+18+3-59+(6+40)=

83+18+3-59+46=

(83+18+3+46)-59=

150-59=91

I'm not sure if this is correct but it should be. Is it 4/2*3 or (4/2)³?If it is (4/2)³ the result would be 93.

What’s the equation

Answers

Answer:

The equation of the line is;

y = 0.8x + 1

Step-by-step explanation:

Here, we want to get the equation of the line

The general equation of a straight line is;

y = mx + b

m

is the slope and b is the y-intercept

The y-intercept is simply the point on the y-axis where the line crosses the y-axis

we have this point at (0,1)

so we have;

y = mx + 1

to get m, we get any other point on the line and substitute its coordinates before we solve for m

we can identify the point (-2.5, -1)

substituting the coordinates

-1 = -2.5(m) + 1

-2.5m = -1-1

-2.5m = -2

m= 2/2.5

m= 0.8

so we have the equation of the line as;

y = 0.8x + 1

what does f(2x+16) mean, id f at 2x
+16

Answers

Equation f(2x+16) multiply each term in the parentheses by f

2fx+16f

A bakery sells chocolate cupcakes and mocha cupcakes. One day it sold 153 chocolate
and 187 mocha. What percent of the cupcakes sold that day were chocolate?

Answers

Answer:

45% of the cupcakes baked on that day were chocolate flavored.

Step-by-step explanation:

Hey there!

We're given that the bakery sold 153 chocolate cupcakes and 187 mocha cupcakes.

Let's find the total number of cupcakes baked in a day.

[tex]153 + 187 = 340[/tex]

Now, we need to find the ratios of the cupcakes. Of the 340 cupcakes baked, 153 were chocolate flavored. Therefore, we can create a ratio between the two values and find the percentage.

Step 1: Define Values

153 chocolate cupcakes baked340 cupcakes in total

Step 2: Create Ratio and Simplify

[tex]\displaystyle \frac{\text{153 chocolate cupcakes}}{\text{340 total cupcakes}} = \frac{153}{340} = 0.45[/tex]

Step 3: Convert from Decimal Form to Percentage Form

[tex]0.45 \times 100\% = 45\%[/tex]

Therefore, we have determined that 45% of the cupcakes baked on that day were chocolate flavored.

Plz help I’m having trouble doing this

Answers

1: 136 because it’s the opposite
2: 44 you do 180-136
4: 44 this side is the same

Answer:

Step-by-step explanation:

Adjecent angle: Two angles that have the same vertex and one side in common.

Vertcial angle: Pairs of opposite angles formed by intersecting lines-- vertical angles have the same measure.

The answer is in the screenshot I hope I helped.

If you want to you can give me brainliest. (Your choice :D NO Pressure)

PLS HELP!!!!!
which polynomial is a perfect square trinomial?

A. 49x^2 - 28x + 16
B. 4a^2 - 20a + 25
C. 25b^2 - 20b - 16
D. 16x^2 - 24x - 9

Answers

Answer:

B

Step-by-step explanation:

We have to find which trinomial has:

1) two terms that are the perfect square of two numbers

2) a terms that is the double product of the two numbers

the first condition is satisfied by A and B, but only B satisfied the second., in fact the trinomial can be rewrite as: (2a-5)^2

Options C and D are traps because the square of a number can’t be negative

Please help me!
No links!!! Please!

Answers

Answer:

d = -3

Step-by-step explanation:

-3 -9 = -12

-12/6

= -2

Solve the 4 letter code please I need it before midnight, it's not a word.

Answers

Answer:

1. E

2. A

3. B

4. I

Step-by-step explanation:

EABI, try it out, comment if i get it right, i am so f**cking tired right now so sorry if its wrong

Help me fast please

Answers

Answer:

The answer is the third option, 20.

20
It proportional
12/15 = x/25
Solve for x
4/5 = x/25
100 = 5x
20 = x


HELLLPPP!!!
What is the equation of the parabola with focus(1, 1/2)
and directrix y = 3?
A. Y=x^2+17x-1
B. Y=-3/16x^2
C. Y=1/5x^2+2/5x+31/20
D. Y=-3/5x^2-14/31x+71/16


Answers

Given:

Focus of a parabola = [tex]\left(1,\dfrac{1}{2}\right)[/tex]

Directrix: [tex]y=3[/tex]

To find:

The equation of the parabola.

Solution:

The equation of a vertical parabola is:

[tex]y-k=\dfrac{1}{4a}(x-h)^2[/tex]            ...(A)

Where, [tex](h,k)[/tex] is center, [tex](h,k+a)[/tex] is focus and [tex]y=k-a[/tex] is the directrix.

On comparing the focus, we get

[tex](h,k+a)=\left(1,\dfrac{1}{2}\right)[/tex]

[tex]h=1[/tex]

[tex]k+a=\dfrac{1}{2}[/tex]           ...(i)

On comparing the directrix, we get

[tex]k-a=3[/tex]              ...(ii)

Adding (i) and (ii), we get

[tex]2k=\dfrac{7}{2}[/tex]

[tex]k=\dfrac{7}{4}[/tex]

Putting [tex]k=\dfrac{7}{4}[/tex] is (i), we get

[tex]\dfrac{7}{4}+a=\dfrac{1}{2}[/tex]

[tex]a=\dfrac{1}{2}-\dfrac{7}{4}[/tex]

[tex]a=\dfrac{-5}{4}[/tex]

Putting [tex]a=\dfrac{-5}{4},h=1,k=\dfrac{7}{4}[/tex] in (A), we get

[tex]y-\dfrac{7}{4}=\dfrac{1}{4\times \dfrac{-5}{4}}(x-1)^2[/tex]

[tex]y-\dfrac{7}{4}=\dfrac{-1}{5}(x^2-2x+1)[/tex]

[tex]y-\dfrac{7}{4}=-\dfrac{1}{5}(x^2)-\dfrac{1}{5}(-2x)-\dfrac{1}{5}(1)[/tex]

[tex]y=-\dfrac{1}{5}x^2+\dfrac{2}{5}x-\dfrac{1}{5}+\dfrac{7}{4}[/tex]

On further simplification, we get

[tex]y=-\dfrac{1}{5}x^2+\dfrac{2}{5}x+\dfrac{35-4}{20}[/tex]

[tex]y=-\dfrac{1}{5}x^2+\dfrac{2}{5}x+\dfrac{31}{20}[/tex]

Therefore, the equation of the parabola is [tex]y=-\dfrac{1}{5}x^2+\dfrac{2}{5}x+\dfrac{31}{20}[/tex].

Note: Option C is correct but the leading coefficient should be negative.

The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y. What is the measure of angle Y


Pls help me‼️‼️‼️‼️‼️

Answers

Don’t believe this link

Y = ½(Z)

Step-by-step explanation:

X = Y = x°Z = 2Y

Y = ½(Z)

What is the length of the unknown leg in the right triangle?

Answers

Answer:

15m

Step-by-step explanation:

a^2 + b^2 = c^2

a=?

b = 20m

c = 25m

a^2 + (20m)^2 = (25m)^2

a^2 + 400m^2 = 625m^2

a^2 = 625m^2 - 400m^2 = 225m^2

a = 15m

Answer:

The answer is 15

Step-by-step explanation:

1/2 x 1 3/5 to the simplest form

Answers

Answer:

4/5

Step-by-step explanation:

Convert 1 3/5 into improper fraction

1 3/5 -> 8/5

1/2x8/5= 8/10

8/10= 4/5

A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A secod prism has a square base with a side of 15. If the volumd of the two prisms are equal, what is the height of the second prism?​

Answers

Answer:

6cm

Step-by-step explanation:

correct for 100 points i swear

3 (x - 6) + 5 (a + 1) - 2 (4x + 2)
someone pleasr help!!

Answers

Answer:

I think the answer is 7x+ 6a

Step-by-step explanation:

3 (x - 6) + 5 (a + 1) - 2 (4x + 2)

3 (-6x) + 5 (1a) -2 (6x)

3x + 6a + 4x

= 7x+ 6a answer!

can you simplify -3(x+7)

Answers

Answer:-3x-21

Step-by-step explanation: use the distributive property

Answer:

=−3x−21

Step-by-step explanation:

−3(x+7)

=(−3)(x+7)

=(−3)(x)+(−3)(7)

=3x-21

Which expression has a quotient of about 7?

Answers

Answer:

36/5

Step-by-step explanation:

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