Math; please help I will mark brainliest! ASAP

Of all the 6 students on the Math Olympiad team, 3 members
are seventh-grade students and 3 are eighth-grade students. The
coach will place equal-sized tickets labeled A7, B7, C7, D8, E8, and
F8 to represent each team member in a hat and randomly select
two tickets to choose the team captains.


1. Write the sample space of all possible pairs of students. How many pairings are possible?


2. What is the probability that both team captains will be seventh-grade students? Explain.


3. Jamal, one of the team members in seventh grade, wonders about the probability that he and another seventh-grade student will be selected. Is this probability equal to the probability determined in Exercise 2? Explain.


4. Samantha is one of the team members in eighth grade. She wonders about the probability that she and another eighth-grade student will be chosen as team captains. Explain why this is equal to the probability determined in Exercise 3.

5.Is it more likely that there will be a captain from each grade as compared to the probability that both captains will be in the same grade? Explain

Answers

Answer 1
Answer 2 or 4 I think hope this helps but I’m pretty sure it’s answer 4. I think 4 but 2 and 4 both make sense

Related Questions

Help!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Sorry bud tough luck there LOL

The answer to the given questions are b = 54, c = 24, m = 75, y = 33, p =87.

What happens to a number or a variable when it is being moved from one side of the equation to the other side ?

It changes it's sign.

We have to form equation for the given questions with a variable and find the value of the variable.

In the first question

There were 45 apples in the barn her dad picked some more apples and put them into it and now the total no. of apples in the barn is 99.

Assuming here dad picked b no. of apples the the equation will be of the form

45 + b = 99

b = 99 - 45

b = 54.

∴ Her dad put 54 apples in the barn.

In the second question

Gran sold 13 clothes in the sell and after that she had 11 clothes left and c is the total no. of clothes

∴ c = 13 + 11

  c = 24

So Gran knitted 24 clothes for her school fundraiser.

In the third question

leah's friend gave her 12 dollars for her birthday and after her grandparents gave her some money (m) she had a total of

87 dollars.

∴ 12 + m = 87

m = 87 - 12

m = 75

So her grandparents gave her 75 dollars of money.

In the fourth question

Lorenzo had 96 passing yards before the football game and after that he had 129 yards for the season and y be the no. of passing yards during the football game.

∴ 96 + y = 129
 y = 129 - 96

 y = 33.

So he made 33 passing yards during the game.

In the fifth question

An artist took 105 art pieces and after he sold some of them which is p he is left with 18 pieces

∴ 105 - p = 18

  p = 105 - 18

  p = 87

So he sold 87 pieces of art in the fair.

Learn more about these type of questions here :

https://brainly.com/question/17139602

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What is the slope and y-intercept for 7x+2y-15=13

Answers

Answer:

-3.5 14

Step-by-step explanation:

2y=-7x+28

y=-3.5x+14

Answer:

Y-intercept = (0, 14) and Slope = -7/2

Step-by-step explanation:

7x + 2y - 15 = 13

2y = -7x + 28

y = -7/2x + 14

Slope = -7/2

Y-intercept = (0, 14)

What’s the answer?
-6/7 x (-5/4) = ___

Answers

Answer:

The answer is 15/14 or 1 1/14

if x is directly proportional to to y and x= 200 and y=3 find x when y=5​

Answers

Answer:

333.33

Step-by-step explanation:

x is directly proportional to y

k=y/x

k=3/200

now,

when y =5

y=kx

5=(3/200)x

1000/3=x

333.33 = x

A taxi ride costs $3 plus $2.50 per mile. What is the total cost of a five-mile taxi ride?

Answers

3+(2,50×5)=15,50$. the total cost of a five-mile taxi ride

solve 6 divided by 3 x 2 to the second power

Answers

Answer:

It's 4

I hope it's help

Step-by-step explanation:

6 ÷ 3×2 = 4

Convert 15.5 inches into centimeters. Express your answer as a decimal rounded to two places

Answers

Answer:

There are 2.54 cm per inch.

15.5 inches * 2.54 cm / 1 inch =

39.37 centimeters

Step-by-step explanation:

Find the value of m/5 + 9, when m=50.

Answers

Answer:

19

Step-by-step explanation:

If m=50, then m/5 = 50/5. That is 10. Then you add 9, equaling 19.

Hope this helps!

Multiplication or division?
Wayne has a hot dog stand open all summer. On Wednesday, he
used 2/3 a bag of hot dog buns. On Thursday, he used 4/5 as many
hot dog buns. How many bags of hot dog buns did Wayne use on
Thursday?

Answers

Answer:

you multiply

Step-by-step explanation:

you need to multiply

40 facts increased to 56. What is the percent increase?

Answers

Step-by-step explanation:

40 increases to 56.

To find the percent increase:

Subtract the increased value from the original value.

Divide the difference by the original value.

Multiply the quotient by 100 to represent the percent.

Solve:

[tex]56 - 40 = 16[/tex]

[tex]16 \div 40 = 0.4[/tex]

[tex]0.4 \times 100 = 40[/tex]

There's a 40% increase.

There are 200 different pieces of fruit in a barrel. There are 42 apples, 82 oranges, and 76 pears. Which of the following events have a probability that is less than 0.4? Select all that apply. A. Randomly selecting an apple B. Randomly selecting an orange C. Randomly selecting a pear D. Randomly selecting an apple or an orange E. Randomly selecting an apple or a pear F. Randomly selecting an orange or a pear​

Answers

:

apples

Step-by-step explanation:

there are 42 apples so thats the least so more probability that it is 0.4 it also rounds up to it sorry if im wrong

Use a net to find the surface area of the right triangular prism shown:

Answers

Answer:

256 ft²

Step-by-step explanation:

Net comprises: 2 equal triangles, 2 equal rectangles and 1 smaller rectangle

Area of a triangle = 1/2 x base x height

⇒ area of one triangle = 1/2 x 10 x 7 = 35 ft²

Area of a rectangle = width x length

⇒ area of larger rectangle = 6 x 12 = 72 ft²

⇒ area of smaller rectangle area = 6 x 7 = 42 ft²

⇒ Total area = (2 x 35) + (2 x 72) + 42 = 256 ft²

Can someone explain the three solutions in math: one solution, no solution, and all real numbers please. What does it mean when then the statement is false how do I know when it’s false?I’m confused I don’t know how to identify the solutions please help me thank you so much!!!

Answers

Step-by-step explanation:

Note that when lines intersect, that when they show a solution.

All Solutions:

When we graph two equations, and they line on the same curve thus all points will be a point of intersection..

Let say we have two linear equations.

[tex]4x + 4y = 16[/tex]

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

This are all solutions, because

if we do the graphical way, when we graph this on a calculator or desmos, they will lie on the same curve so it has infinite points of intersections.

If we do algebraic way,

Notice that the top equation is the same as The bottom equation but just multiplied by 4. So the top and bottom equations are the same.

So whenever the two or more equations have same slope and same y intercept, the solutions will be all real solutions or infinite solutions.

One Solution:

In plane geometry, note that a line that isn't parallel to another one, will intersect eventually once.

This means that for example

[tex]4x + 4y = 16[/tex]

[tex]x + 2y = 32[/tex]

These equations have different slope so they will intersect once. Which means it'll have one solution.

NO Solutions:

Parallel Lines never intersect which means they have no solutions.

Consider this

[tex]4x + 4y = 16[/tex]

[tex]x + y = 1[/tex]

We know the slopes are the same but y intercept is different they will never intersect.

Given a function described as the equation y = 4x - 4, what is y when x is 1, 2, and 3?

Answers

Hope this helps ! Everything in the attachment .


27 is 30% of what number?

Answers

Answer:

im pretty sure that the answer your looking for is  90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

STEP 1   27 = 30% × Y

STEP 2  27 = 30/100 × Y

Multiplying both sides by 100 and dividing both sides of the equation by 30 we will arrive at:

STEP 3   Y = 27 × 100/30

STEP 4   Y = 27 × 100 ÷ 30

STEP 5   Y = 90

Finally, we have found the value of Y which is 90 and that is our answer.

replace the values of m and n to show solutions of this equation: x^2+6x-5=0

Answers

The answer is x=5/8 hope this helps

You want to estimate the number of students in your school who prefer to bring a lunch from home rather than buy one at school. You survey five students who are standing in the lunch line. Determine whether the sample is biased or unbiased.

Explain.

Answers

Answer:

It's biased because they're only asking people standing in the lunch line, instead, they should be asking numerous of students randomly to eliminate biased.

8) Use the slope formula to find the slope between
the points: (-1,2) and (3,- 3)
m =

Answers

Answer:

-5/4

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

   = ( -3 -2)/( 3 - -1)

   = ( -3-2 ) /( 3+1)

   = -5/4

Answer:

m = -5/4

Step-by-step explanation:

The slope formula is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]\frac{(-3)-(2)}{3-(-1)}[/tex] [tex]\frac{-5}{3+1}[/tex] [tex]\frac{-5}{4}[/tex]

Therefore, m = -5/4.

A police radar gun is used to measure the speeds of cars on a highway. The speeds of cars are normally distributed with a mean of 55 mi/he and a standard deviation of 5 mi/hr. Roughly what percentage of cars are driving less than 45 mi/hr ? Round to the nearest tenth of percent .

A. 95.0%
B. 2.5%
C. 5.0%
D. 18.0%

Answers

Answer

b: 2.5

Step-by-step explanation:

because my dad said so

What is the slope and y- intercept for -10x+3y-6=10

Answers

Answer:

Slope = m = 10/3 and y-intercept = (0, 16/3)

Step-by-step explanation:

-10x + 3y - 6 = 10

3y = 10x + 16

y = 10/3x + 16/3

Slope = m = 10/3

y-intercept = (0, 16/3)

CAN SOMEONE PLEQSE HELP ME? WORTH 50 POINTS !! SCREENSHOT TO SEE BETTER

Answers

Answer:

1. 157 in³

2. 12 in

3. volume of the rice container is 1.5 times the volume of the sugar container

4. 50.24 in³

5. Rice container has the greatest volume

Flour container has the smallest volume

Step-by-step explanation:

By inspection of the diagram, the three containers are all cylinders.

Volume of a cylinder = [tex]\pi r^2h[/tex]

(where r is the radius and h is the height)

Given [tex]\pi[/tex] = 3.14

1. volume of sugar container = 3.14 x 2.5² x 8 = 157 in³

2. 235.5 = 3.14 x 2.5² x h

⇒ 235.5 = 19.625h

⇒ h = 235.5 ÷ 19.625 = 12 in

3. height of sugar container = 8 in

   height of rice container = 12 in

  12 ÷ 8 = 1.5

⇒ height of rice container is 1.5 times the height of the sugar container

volume of sugar container = 157 in³

volume of rice container = 235.5 in³

235.5 ÷ 157 = 1.5

⇒ volume of the rice container is 1.5 times the volume of the sugar container

4. volume of flour container = 12.56 x 4 = 50.24 in³

5.  volume of sugar container = 157 in³

    volume of rice container = 235.5 in³

    volume of flour container = 50.24 in³

Rice container has the greatest volume

Flour container has the smallest volume


How many 3/4 cup servings are in 10 cups
of juice? Use a model and an equation to
show your work.

Answers

10 divided by (3/4) = 13 1/3 cups
Just draw 13 cups filled to 3/4, and one cup filled 1/12.
Your equation is 10/(3/4) = 13 1/3 cups.

What is the area, in square feet, of the shape below? Express your answer as a fraction in simplest form.

Answers

Answer:

1/20

Step-by-step explanation:

h×b over 2

1/5 × 1/2 over 2

= 1/20

3x^2 + 6x + 4 axis of symmetry

Answers

Considering the axis of symmetry formula is x = -b / 2a , we can fill in this with the equation given, making it x = -(6) / 2(3) which comes out to -1

So the axis of symmetry for 3x^2 + 6x + 4 is -1

2a +7= 15 answer please

Answers

Answer:

a = 4

Step-by-step explanation:

2a + 7 = 15

     - 7  - 7

2a = 8

/2   /2

a = 4

Hope this helps!

Answer:

a=4

Step-by-step explanation:

We need to find a way to get (a) alone on one side.
first, we will subtract 7 from 15 to get 8.
Next, We will divide 8 by 2. to get 4

your work should look like this.
2a+7=15
2a=15-7
2a=8
a=8/2
a=4

Help me please if you can

Answers

same answers just different way to put them

25 ²²/27

697/27

25.814

Consider the series.

∞∑n=1 (3^n+1 / 3n+1)

Does the series converge or diverge?

Select answers from the drop-down menus to correctly complete the statements.

Answers

Put 1

[tex]\\ \rm\Rrightarrow \left(\dfrac{3^{1+1}}{3(1)+1}\right)[/tex]

[tex]\\ \rm\Rrightarrow 3^2/4=9/4=2.2[/tex]

Put 2

[tex]\\ \rm\Rrightarrow \left(\dfrac{3^{2+1}}{3(2)+1}\right)=3^3/7=27/7=3.8[/tex]

R is

3.8/2.2=19/11

Its greater than 1 .

So diverge series.

Answer:

[tex]r=\dfrac{12}{7}[/tex]

series diverges

Step-by-step explanation:

To find the common ratio (r) of a geometric series, divide the (n+1)th term by the nth term.

When n = 1:

[tex]a_1=\dfrac{3^{1+1}}{3(1)+1}=\dfrac{3^2}{4}=\dfrac94[/tex]

When n =2:

[tex]a_2=\dfrac{3^{2+1}}{3(2)+1}=\dfrac{3^3}{7}=\dfrac{27}{7}[/tex]

Therefore,

[tex]r=\dfrac{a_2}{a_1}=\dfrac{\frac{27}{7}}{\frac{9}{4}}=\dfrac{12}{7}[/tex]

A series that converges has a finite limit.  If |r| < 1, then the series will converge.

A series that diverges means either the partial sums have no limit or approach infinity.  If |r| > 1 then the series diverges.

Therefore, as the limit of the series approaches infinity and it's r value is greater than 1, the series diverges.

How are you supposed to do this

Answers

Answer:

4x < -8

you will need to isolate the variable to be by itself by performing the inverse property of multiplication which is division;

/4      /4(divide by 4 from both sides)

x < -2

A section of a deck is shaped like a trapezoid. For this section, the length of one base is 59 feet, and the length of the other base is 42 feet. The height is 26 feet. What is the area of this section of the deck?

Answers

Answer:

i think it 32214

Step-by-step explanation:

59 x 42 = 2478 x 26 = 66428. And divided by 1/2 (I'm sorry if im wrong)

A researcher is interested in determining if a psychic really has power to predict. The researcher takes four cards, each of a different type: king, queen, jack, and ace. After mixing up the cards many times and he selects one card without showing the psychic. The researcher asks the psychic which card was selected. The researcher records if the psychic was correct or not. The researcher does this two hundred times. If the psychic really has special abilities then he should pick the correct card more often then if it was by chance alone. The researcher is interested in determining if the card was identified correctly significantly more often then chance would suggest. What would be the null and alternative hypothesis for this case

Answers

It can be deduced that the null hypothesis is H: p = 0.25 and the alternative hypothesis is H: p > 0.25.

What is the null hypothesis?

It should be noted that null and alternate hypothesis are written based on the population parameter.

From the information given, the claim is that they card was identified significantly more than chance would suggest. The proportion of card selected will be:

= 1/4 = 0.25

Therefore, the null hypothesis is H: p = 0.25 and the alternative hypothesis is H : p > 0.25.

Learn more about null hypothesis on:

https://brainly.com/question/25263462

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