Answer:
The correct answer is 8.
Step-by-step explanation:
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:
https://brainly.com/question/14099682
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Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6y - 3x = -24
Answer: y = 1/2x -4
Step-by-step explanation:
Use y=mx+b
simplify
1/4(1-2/3)^2+1/3
answer as a simplified fraction
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
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
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
Estimate:
37 is 60% of what number?
22
B
6
60
2,220
Answer:
60
Step-by-step explanation:
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.
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!
Does the following represent a linear or exponential function? x 1 2 3 4 y 3 9 15 21
Answer:
linear
Step-by-step explanation:
Which one??? I need help
Find the equation of the line thatis perpendicular to y =
contains the point (4,-8).
- 2/3 x
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
Write the equation in slope intercept form given the
point and the slope.
m=-5 & (-4, 7)
Answer:
y=-5x-13
Step-by-step explanation:
y-7=-5(x+4)
y=-5x-13
Write the equation in slope-intercept form through the point (4, -1) and is perpendicular to the line y = x + 2 and graph
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
Line L passes through the points (-1, 2) and (3, 2). Which of the following lines is perpendicular to line L?
Answer:
The Answer Is
L
Take A Big Fat L
LOL
Step-by-step explanation:
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?
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
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?
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
Find the missing number in the following equation.
k x 78 = 117
k = 1.5
k = 195
k = 39
Answer:
k=1.5
Step-by-step explanation:
[tex]k = 117 \div 78 = 1.5 [/tex]
is y=x/4 proportional or non proportional?
Answer:
i may be wrong but i thinks its proportional
Step-by-step explanation:
Brainliest !!!!!!!!!! correct and fast answers only!!
Answer:
D.
Step-by-step explanation:
That is the answer. The complex numbers have opposite real parts.
(1.8 x 10°) (6.7 x 1012)
Answer:
did you type that correctly?
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
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:
2x + 4y-31=123 what is the equation for x and then y
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
WILL MARK BRAINLIEST PLEASE HELP
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.
Can somebody help with questions 8 plzz‼️
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
Which of the following does not represent a function?
PLEASE HELPP ME
15 POINTS OR BRAINLIEST ?!??
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! :)
Fifty minus two plus the quantity three divided by six
Answer:
48.5
Step-by-step explanation:
Please mark B R A I N L I E S T
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.
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
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
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:
IS THIS CORRECT PLZ ANSWER
The two triangles are similar, What is the length of DE?
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.
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.
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:
brainly.com/question/2995226.
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