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%.

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Related Questions

Sidney has $100 in a savings account. The interest rate is 10% per year and is not
compounded. How much interest will she earn in 3 years?

Answers

Answer:

130 dollars

Step-by-step explanation:

This time I don't think I done messed it up

Have a good day!


Find the total lateral area of the following
cone. Leave your answer in terms of a.
4 cm
3 cm
LA = ? cm2

Answers

Answer:

15π cm²

Step-by-step explanation:

The total lateral area of a cone

= πr√h² + r²

= √h² + r² = l

h = Height = 4cm

r = radius = 3cm

Hence:

= π × 3 √4² + 3²

= 3π × √16 + 9

= 3π × √25

= 3π × 5

= 15π cm²

PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

The value of ∠FGJ = x⁰ is 45⁰.

What is Linear pair angle?

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.

Here, we know that sum of angles on linear pair is 180⁰.

        ∠FGJ = x⁰ and ∠JGH = 135⁰

∠FGJ + ∠JGH = 180⁰

    x⁰ + 135⁰ = 180⁰

    x⁰ = 180⁰ - 135⁰

    x⁰ = 45⁰

Thus, the value of ∠FGJ = x⁰ is 45⁰.

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please help is it 2/9?​

Answers

Answer:

7/9    

Step-by-step explanation:

7/9

Answer:

7/9

Step-by-step explanation:

Brainliest maaaybe? :)

Find the area of the circle. Round your answer to the nearest hundredth. diameter 3in

Answers

Area of circle = pi × r squared

A= 3.14....× (1.5×1.5)

A= 7.068583471

A= 7.07in( to nearest hundredth)

please help!! it’s due asap

Answers

Answer:

x = -4 and 2

Step-by-step explanation:

When x = -4 and 2, y = 0 so -4 and 2 are the roots

Solve 100x²+81=0 using square roots

Answers

the answer should be x=9i/10

Answer:

10

Step-by-step explanation:

The principal, real, root of:

100−−−√2

=10

All roots:

10

−10

100 is a perfect square



When h is 1/2 and j is 1/3,g is 4. If g varies jointly with h and j, what is the value of g when h is 2 and j is 3?

Answers

Answer:

The value of g is  144 when h is 2 and j is 3 .

Step-by-step explanation:

If g varies jointly with h and j.

g = khj

Where k is the constant of proportionality.

Put value in the above

k = 4 × 6

k = 24

As when  h = 2 , j = 3 and k = 24 .

Put in the above

g = 2 × 3 × 24

g = 144

Therefore the value of g is 144 when h is 2 and j is 3 .

Sam and her brother Nate are collecting stamps together. Nate has collected 5 more than twice the number of stamps Sam has collected. In total they have 26 stamps. Let n be the number of stamps that Sam has collected. Which of the following equations models this situation?
1. 2n+5=26
2. n+2n+5=26
3. 2n+5-n=26
4. n+2(n+5)= 26

Answers

Answer:

2. n(2n+5)=26.

Step-by-step explanation:

If Sam has n stamps, and Nate has 5 more than twice that amount, the equation would be: 2. n(2n+5)=26.

Ling measured a shopping center and made a scale drawing. The scale of the drawing was 1 millimeter: 3 meters. The actual width of the parking lot is 42 meters. How wide is the parking lot in the drawing?

Answers

Answer:

14

Step-by-step explanation:

42:?

3:1

42/3=14

42:14

3:1

Find the area of the figure.

Answers

Step-by-step explanation:

Area of Rectangle at the top =

Length x Width

[tex] = 3.5 \times 3 \\ = 10.5 {mm}^{2} [/tex]

Area of Quarter- Circle = 1/4 x Area of Circle

[tex] = \frac{1}{4} \pi {r}^{2} \\ = \frac{1}{4} \pi( {3.5}^{2} ) \\ = 3 \frac{1}{16} \pi {mm}^{2} [/tex]

Area of Rectangle at the right = Length x Width

[tex] = 5.5 \times 3.5 \\ = 19.25 {mm}^{2} [/tex]

Total Area = Area of 2 Rectangles + Area of Quarter Circle

[tex] = 10.5 + 3 \frac{1}{16} \pi + 19.25 \\ = 29.75 + 3 \frac{1}{16}\pi \\ = 32 \frac{13}{16}\pi {mm}^{2} [/tex]

I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

-9p+3

plz mark me as brainliest

what is the value of y

Answers

Answer:

y= -6

Step-by-step explanation:

-2y - 5y= -7y

-7y=42

42/-7=

y= -6

Help please multiple choice interval. 20 Points. Thanks very much!​

Answers

Answer:

D

Step-by-step explanation:

Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height. Radius = 8, Height = 3.

Answers

Answer:

V = 603.19 unit^3

or

V = 192π unit^3

Step-by-step explanation:

V = πr^2 *h

V = π(8)^2 *3

V = 603.19 unit^3

or

V = 192π unit^3

Answer:

603.186^3

Step-by-step explanation:

v =  πR2 · h

π8^2 x 3

= 603.186^3

1) Evaluate the following expressions.show your work
a) 7(m - 8) for m = -4

Answers

Answer:

-84

Step-by-step explanation:

Since m=-4, we can plug -4 into the expression and use PEMDAS

7(m - 8)

7((-4)-8)

7(-12)

-84

6th grade math plz help

Answers

A is the answer I believe

Make up any linear equation with two variables the solution to which will be these pairs of numbers. x=2, y=4.5 PLS HELP

Answers

Answer:

[tex]y = 0.25x + 4[/tex]

[tex](x,y) = (2,4.5)[/tex]

Step-by-step explanation:

Given

[tex]x = 2[/tex]

[tex]y = 4.5[/tex]

Required

Make up a linear function

A linear function is represented as:

[tex]y = mx + b[/tex]

Assume [tex]b = 4[/tex]

The equation becomes

[tex]y = mx + 4[/tex]

Substitute [tex]x = 2[/tex] and [tex]y = 4.5[/tex] to solve for m

[tex]4.5 = m*2 + 4[/tex]

[tex]4.5 = 2m + 4\\[/tex]

Solve for m

[tex]2m = 4.5 - 4[/tex]

[tex]2m = 0.5[/tex]

[tex]m = 0.5/2[/tex]

[tex]m = 0.25[/tex]

So, we have:

[tex]m = 0.25[/tex], [tex]b = 4[/tex], [tex]x = 2[/tex] and [tex]y = 4.5[/tex]

[tex]y = mx + b[/tex] becomes

[tex]y = 0.25x + 4[/tex]

[tex](x,y) = (2,4.5)[/tex]

Explain how you can tell whether the sum of two integers is positive or negative, before adding them.

Answers

Answer:

The sum of any integer and its opposite is equal to zero. adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.

Answer:

Step-by-step explanation:

The sum will have the same sign as the integer with the greater magnitude.

Example:  the sum of -11 and 5 is -6, where the 6 takes the sign of -11 (which has a greater magnitude than does 5).

Answer this question to get marked as barinliest!!!!

Answers

3.14 × 16 = 50.24

C is ur answer

now gimme brainliest

Answer:

B or the second one i did  my math

Step-by-step explanation:

Which of the following are among the five basic postulates of Euclidean geometry? Check all that apply.

A. All circles have 360 degrees
B. A straight line segment can be drawn between any two points.
C. A straightedge and compass can be used to create a triangle.
D. Any straight line segment can be extended indefinitely.

Answers

Answer:

B and D.

Step-by-step explanation:

A p e x

The following are among the five basic postulates of Euclidean geometry

A straight line segment can be drawn between any two points.Any straight line segment can be extended indefinitely.

The five basic postulates of Euclidean geometry

The five (5) basic postulates are:

Any segment of a straight line connecting any two points can be drawn.You can draw and stretch any straight line to any finite length.Given a centre and radius, circles are drawn.Congruent angles are always right angles.There is a line that is parallel to the given line if a given point is not on the supplied line.

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Find the value of the variables in the simplest form

Answers

Answer:

y = 2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

y² = ([tex]\sqrt{2}[/tex] )² + ([tex]\sqrt{2}[/tex] )² = 2 + 2 = 4 ( take the square root of both sides )

y = [tex]\sqrt{4}[/tex] = 2

True or false is the graph of y = 2/3 x + 4

Answers

Answer:

False. 2/3 is positive so therefore, it would be increasing, not decreasing.

Step-by-step explanation:

Find the distance between the points (–2,8) and (–2,3).

Answers

Answer:

I think it's 5

Step-by-step explanation:

I am not really sure but I tried I guess

what is the 3.5mi circumstances i also need help with this if you guys can help me

Answers

Udhehrbr shrugged dhehr when

convert 50 percentage into fraction​

Answers

Answer:

50/100, simplified to 1/2

Step-by-step explanation:

50% means half of 1.

1/2=.5 which is half of 1.

1=100%

.5=50%

1/2=50%

Answer:

[tex] \displaystyle \frac{1}{2} [/tex]

Step-by-step explanation:

we are given a parcentage

we want to convert it into fraction

remember that,

[tex] \displaystyle \% = \frac{1}{100} [/tex]

therefore

substitute:

[tex] \displaystyle 50 \times \frac{1}{100} [/tex]

reduce fraction:

[tex] \displaystyle \cancel{50} \times \frac{1}{ \cancel{100} \: ^{2} }[/tex]

[tex] \displaystyle 1 \times \frac{1}{2} [/tex]

simplify multiplication:

[tex] \displaystyle \frac{1}{2} [/tex]

hence,

[tex] \displaystyle 50\% = \frac{1}{2} [/tex]

Please helppp I need this for a better grade

Answers

Answer:

Step-by-step explanation:

Cos(x)=18/44=0.41

x=65.85

Raffia went shopping for new furniture he bought a couch for $750 and a mattress for 950 dollars. When he came home he had $350 in his purse. How much money did he have when he left home. Please answer step by step will mark brainliest and thanks !!!!!!!!!!!

Answers

Answer:

$2050

Step-by-step explanation:

750+950+350

You have to add how much he spent and how much he had left over. He spent $750+$950=$1700. And he had $350 left so you add the $1700 he spent plus the $350 he had left over meaning he had $2050 to begin with.

On Saturday, a local hamburger shop sold a combined total of 261 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Saturday?

Answers

Answer:

134 hamburgers

Step-by-step explanation:

Let H = # of hamburgers 

# of cheeseburgers = 2H

H + 2H = 402

3H = 402

H = 402/3

H = 134

15% of what number is 30?
please give the steps! i will give brainliest if you give the steps

Answers

Answer:

200

Step-by-step explanation:

15% is 0.15

0.15x = 30

x = 30/0.15 = 200

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