You and your mom enter a drawing with 3 different prizes. The prizes are
awarded at random.
If a total of 10 people entered the drawing, in how many ways can you win
first prize and your mom win second prize?
a. 8
b. 2
c. 10
d. 1

Answers

Answer 1

Answer:

The correct answer is 8.

Step-by-step explanation:

Answer 2

There are 2 ways that you can win first prize and your mom can win the second prize.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

There are 10 people who entered the drawing.

Since the prizes are awarded at random, the probability of you winning the first prize is 1/3, and the probability of your mom winning the second prize is 1/2.

We can use the multiplication principle of counting to find the number of ways that you can win first prize and your mom can win the second prize.

The number of ways that you can win first prize is 1 since there is only one first prize and you are one of the 10 people who entered.

Once the first prize winner is chosen, there are 9 people left, and the number of ways that your mom can win the second prize is 1 out of 9.

The total number of ways that you can win first prize and your mom can win the second prize is:

1 × 1/3 × 1/2 × 9 = 3/2

However, the answer cannot be a fraction or decimal, since we are counting the number of ways in which events can occur.

Therefore, we round up to the nearest integer and get:

3/2 ≈ 2

Therefore,

There are 2 ways that you can win first prize and your mom can win the second prize.

Learn more about probability here:

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Related Questions

simplify

1/4(1-2/3)^2+1/3

answer as a simplified fraction

Answers

Answer:

13/36

Step-by-step explanation:

Answer:

13/36

Step-by-step explanation:

1/4(1/3)^2+1/3

1/4(1/9)+1/3

1/36+1/3

1/36+12/36

13/36

The two triangles are similar, What is the length of DE?

Answers

Answer:

This is easy. All you need to do is set up a proportional relationship.

A proportional relationship uses variables to show similarities, in this case, in triangles.

[tex]\frac{2}{3} = \frac{x}{6.3}\\\\3x = 12.6\\\\x = 4.2[/tex]

x represents the missing side.

Paul creates the diagram to help him factor 4x2 + x – 5 by using double grouping. His diagram is incomplete.
Which terms should Paul write in squares M1 and M2?

a) 5x and −4x
b) –5x and 4x
c) –2x and 10x
d) 2x and −10x

Answers

Answer:

5x and -4x

Step-by-step explanation:

Because Paul is looking for M1 and M2 in order to get a total that is +x and a product that is equal to -20x^2, we can see that 5x and -4x help Paul get the products he wants.

Answer:

A; 5x and −4x

Step-by-step explanation:

Which of the following does not represent a function?
PLEASE HELPP ME
15 POINTS OR BRAINLIEST ?!??

Answers

Answer:

G is not a function

Step-by-step explanation:

Answer:

H.

Step-by-step explanation:

something is represented as a function when none of the inputs (x) repeat, but the outputs (y) change. the graph for letter G has repeating x values, but the y values don't change when an x repeats. however, the graph for letter H has repeating inputs (x), but the outputs are different, even with the same input.

that's why parabolas aren't functions (if you know what those are).

hopefully that helps and isn't too confusing! if you need anything else, let me know! :)

Which formulas return TRUE, if the value in cell B4 is 12 and the value in C4 is 29?

____ and ____ return TRUE, if the value in cell B4 is 12 and the value in C4 is 29.

Answers

D

Step-by-step explanDAdadadad

Answer:

Pretty sure the Answer is:

=XOR(B4=12;C4<9) and =AND(B4=12;C>9) return TRUE, if the value in cell B4 is 12 and the value in C4 is 29.

Step-by-step explanation:

An =XOR function returns TRUE if any of the clauses in it are true, while an =AND function returns true only if both are true. Therefore, since in =XOR(B4=12;C4<9) B4 does equal 12, since this is an =XOR function. =AND(B4=12;C>9) is correct because B4 = 12 and C4 is greater than 9.

Hope this made some sense...

Mark brainliest if it helped!

Five times a number plus three times the same number is the same as seven
times the number plus four. Write an equation using N as the number and
solve to find what N equals.

Answers

So I got 5N + 3N = 7N + 4

That would mean N = 4

Fifty minus two plus the quantity three divided by six

Answers

Answer:

48.5

Step-by-step explanation:

Please mark B R A I N L I E S T

Line L passes through the points (-1, 2) and (3, 2). Which of the following lines is perpendicular to line L?​

Answers

Answer:

The Answer Is

L

Take A Big Fat L

LOL

Step-by-step explanation:

2x + 4y-31=123 what is the equation for x and then y​

Answers

Answer:

i would say

y = ( 77 - x ) / 2

Step-by-step explanation:

2x + 4y = 123 + 31

2x +4y = 154

4y = 154 -2x

y = ( 154 - 2x ) / 4

y = ( 77 - x ) / 2

Find the missing number in the following equation.
k x 78 = 117


k = 1.5

k = 195

k = 39

Answers

The answer is 1.5 because if you divide 117 by 78 you’ll get exactly that ;)

Answer:

k=1.5

Step-by-step explanation:

[tex]k = 117 \div 78 = 1.5 [/tex]

7. The measure of two angles of a quadrilateral are
120 & 40° and the other two angles are equal, the measure of each of equal angles are
100
200°
50°
105​

Answers

Answer:

200

Step-by-step explanation:

total angle degree of quadrilateral is 360° so 360 - (120+60) = 200

I hope you understand it and sorry if it's wrong

Sana deals in designer handbags. She bought 5 handbags at a price of 18,000 each and sold them all at a profit
of 32 percent
How much did Sana charge for the 5 handbags?

Answers

Answer:

$118,800

Step-by-step explanation:

5 handbags for 18000 each and sold at 32% profit

1 handbag=18000*1.32=$23,760

23,760*5=$118,800

is y=x/4 proportional or non proportional?

Answers

Answer:

i may be wrong but i thinks its proportional

Step-by-step explanation:


IS THIS CORRECT PLZ ANSWER

Answers

yes i believe it is correct bc they are both multiplied by themselves

Does the following represent a linear or exponential function? x 1 2 3 4 y 3 9 15 21

Answers

Answer:

linear

Step-by-step explanation:

Brainliest !!!!!!!!!! correct and fast answers only!!

Answers

Answer:

D.

Step-by-step explanation:

That is the answer. The complex numbers have opposite real parts.

What is m∠CAD?




20º

80º

100º

110º
Triangle A B C extended to both sides from corners A and B. D is a point closer to point A on the extended line. Angle C is located on the top. The measure of angle C is eighty degrees, the measure of angle C B A is twenty degrees. Questions mark is labeled for angle C A D.

Answers

Answer:

100 because you cal look at the balz on that

Step-by-step explanation:

The measure of exterior angle ∠CAD of a triangle ABC is 100°.

From the given figure, ∠ACB=80° and ∠ABC=20°.

What is an exterior angle theorem?

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

From the given triangle,

m∠CAD=m∠ACB+m∠ABC

⇒ m∠CAD=80°+20°

⇒ m∠CAD=100°

Therefore, the measure of exterior angle ∠CAD of a triangle ABC is 100°.

Learn more about the exterior angle theorem here:

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(1.8 x 10°) (6.7 x 1012)

Answers

Answer:

did you type that correctly?

Step-by-step explanation:

PLEASE ANSWER IM USING ALL MY 38 POINTS!
The local cable company charges $90 per month for basic cable and $12 per month

for each additional premium cable channel. The function cx x ( ) = + 90 12 represents

the monthly charge (in dollars), where x represents the number of additional premium

channels. How many additional premium channels would you have ordered if your bill

was $114 per month?

Answers

Answer:

114=90 + 12r

sub 90 from both sides 24=12r

divide both sides by 12

2=r

Answer: 2

Step-by-step explanation:

Answer:

you have ordered 2 additional premium channels

Write the equation in slope-intercept form through the point (4, -1) and is perpendicular to the line y = x + 2 and graph​

Answers

Answer:

The equation in slope-intercept form through the point (4, -1) and is perpendicular to the line y = x + 2 is: y=-x+3

Step-by-step explanation:

Given equation of line is:

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

Comparing it with the general form of equation of line in slope-intercept form

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

The slope of given line is 1 as the co-efficient of x in the equation is 1.

When two lines are perpendicular, the product of their slopes is -1

Let m1 be the slope of new line

Then

[tex]m.m_1 = -1\\1.m_1 = -1\\m_1 = -1[/tex]

The equation of new line perpendicular to given line will be:

[tex]y = m_1x+b[/tex]

Putting the value of m1

[tex]y = -x+b[/tex]

To find the value of b, the given point will be put into the equation

So,

[tex]-1 = -(4)+b\\-1 = -4+b\\-1+4 = b\\b = 3[/tex]

The final equation of line is: y = -x+3

Hence,

The equation in slope-intercept form through the point (4, -1) and is perpendicular to the line y = x + 2 is:

[tex]y = -x+3[/tex]

Graph:(Attached)

The graph is made using the online graphing tool "Desmos". The red line in the graph represents the line y = x+2 and the blue line represents the line (y=-x+3) perpendicular to given line

How many people can ride in 1 car?

What is the constant of proportionality for the data in the table?

Explain how you can find the number of people that can ride in a rollercoaster with 10 cars.

Write an equation to represent the number of people, y, that can ride the rollercoaster with x cars.

Answers

Answer:

6 people

Step-by-step explanation:

take the 18 and divide it by three because this will help you solve for one car so 18 divided by three is six

Find the equation of the line thatis perpendicular to y =
contains the point (4,-8).
- 2/3 x

Answers

Answer:

y= 3/2x -14

Step-by-step explanation:

The formula to solve this problem is y- y1 = m(x-x1), so plug in the coordinates according to the formula: y-(-8)= m(x-4). Then, find the reciprocal of the slope, which is 3/2. Plug 3/2 to where the slope belongs: y+8=3/2(x-4). Calculate to solve the rest: y =3/2x -14

Which one??? I need help

Answers

e is your answer. the domain is always the x values.

WILL MARK BRAINLIEST PLEASE HELP

Answers

Slope is 6 you can fine this by using the slope formula of rise over run or you can just in this equation divide the y by the x coordinate to find the slope of 6

Can somebody help with questions 8 plzz‼️

Answers

Answer:

53,760,970 households/year

Step-by-step explanation:

First step is to do 65,929,420 - 12,168,450 = 53,760,970

Now divide 53,760,970 by 20 since the difference in 1997 and 1977 is 20

53,760,970/20 = 2,688,048.5

So each year 2,688,048.5 people got cable.

But it would be 53,760,970/year because then you could divide it by how ever many years to see how many people got cable.

Hope this helps!!

WILL MARK BRAINLIEST PLEASE HELP

Answers

The answer is : y= 2x+4

Write the equation in slope intercept form given the
point and the slope.
m=-5 & (-4, 7)

Answers

Answer:

y=-5x-13

Step-by-step explanation:

y-7=-5(x+4)

y=-5x-13

Estimate:
37 is 60% of what number?
22
B
6
60
2,220

Answers

Answer:

60

Step-by-step explanation:

What is the increasing interval?

What is the decreasing interval?

What is the maximum?

What is the minimum?

What is the axis of symmetry?

Please help me

Answers

Answer:

The increasing interval is from [-5,-2]

The decreasing interval is from [-2,1]

The axis of symmetry is x=-2

there in no minimum

the maximum co - ordinate is (-2,4)

Answer:The increasing interval is from [-5,-2]

The decreasing interval is from [-2,1]

The axis of symmetry is x=-2

there in no minimum

the maximum co - ordinate is (-2,4)

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6y - 3x = -24

Answers

Answer: y =  1/2x -4

Step-by-step explanation:

Use y=mx+b

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