Given:
Total of raffle tickets = 30
Number of tickets Jason bought = 10
Number of prizes = 3
To find:
The probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away.
Solution:
Total of raffle tickets = 30
Number of prizes = 3
So, number of total outcomes is
[tex]n(S)=^{30}C_3[/tex]
Number of tickets Jason bought = 10
So, number of favorable outcomes is
[tex]n(A)=^{10}C_3[/tex]
Now,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Probability}=\dfrac{n(A)}{n(S)}[/tex]
[tex]\text{Probability}=\dfrac{^{10}C_3}{^{30}C_3}[/tex]
[tex]\text{Probability}=\dfrac{\dfrac{10!}{(10-3)!3!}}{\dfrac{30!}{(30-3)!3!}}[/tex]
[tex]\text{Probability}=\dfrac{10\times 9\times 8\times 7!}{7!3!}\times\dfrac{27!3!}{30\times 29\times 28\times 27!}[/tex]
[tex]\text{Probability}=\dfrac{10\times 9\times 8}{30\times 29\times 28}[/tex]
[tex]\text{Probability}=\dfrac{6}{203}[/tex]
Therefore, the correct option is A.
Answer:
The correct answer is A. 6/203
How do you solve a perpendicular equation?
Step-by-step explanation:
First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.
Solve by factoring:
x² – 5x - 14=0
O A. x = 7,X = -2
B. x = -7, x = 2
O C. x = -1, x = 14
O D. x=-14, x = 1
Answer ASAP!
Answer:
A
Step-by-step explanation:
Given
x² - 5x - 14 = 0
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (- 5)
The factors are - 7 and + 2, since
- 7 × 2 = - 14 and - 7 + 2 = - 5, thus
(x - 7)(x + 2) = 0
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 2 = 0 ⇒ x = - 2
Answer:
A. x=-7, x=2
Step-by-step explanation:
i am a three digit number. i am divisible by 5. i am an even number each of my digits are different my tens is greater than my ones digit. my hundreds digit is greater than my tens digit. i am less than 400. i am divisible by 3. i have only one odd digit. my tens digit is 1. what number am i?
Answer:
210
I am divisible by 5.
So your ones digit is 0 or 5
I am an even number.
So your ones digit is 0. We fill that in.
_ _ 0
My tens digit is 1.
So we fill that in.
_ 1 0
My tens digit is greater than my ones digit.
Well, of course 1 is greater than 0. We didn't need to be told that.
I have only one odd digit.
Since the 1 is odd, the hundreds digit is even, 2,4, or 8
I am less than 400.
So your hundreds digit is 2. Fill that in and we're done.
2 1 0
My hundreds digit is greater than my tens digit.
Of course 2 is greater than 1, we didn't need to be told that.
I am divisible by 3.
Of course 210 is divisible by 3. We didn't need to be told that.
Too much information!
Answer: 210
30 POINTS AND WILL MARK BRAINLY Graph the line that passes through the points (-3,-8) and (2,-3) and determine the equation of the line
Answer:
y = x - 5 :)
Step-by-step explanation:
use point-slope form to create an equation for this line.
find the slope first by subtracting the y-values from each other, and the x-values from each other.
-3-(-8) = 5 <- y-value
2-(-3) = 5 <- x-value
5/5 = 1 <- slope
plug the slope and one of the points into the point-slope equation.
y - (-3) = 1(x - 2)
y + 3 = x - 2
subtract 3 from both sides.
y = x - 5
graph this by placing a point on -5 on the y-axis, and going up by 1 and right by 1 for the slope of 1.
hope this helped! xoxxo
Step-by-step explanation:
Hey there!
The line passes through points; (-3,-8) and (2,-3).
Now; use formula for double point.
[tex](y - y1) = \frac{y2 - y2}{x2 - x1} (x - x1)[/tex]
Put all values.
[tex](y + 8) = \frac{ - 3 + 8}{2 + 3} (x + 3)[/tex]
Simplify it.
[tex](y + 8) = \frac{5}{5} (x + 3)[/tex]
[tex]y = x + 3 - 8[/tex]
[tex]y = x - 5[/tex]
Therefore, the equation is y= x-5.
Hope it helps...
Karen cut away 49 centimeters of rope. Before that, she had 807.49 centimeters of rope. How much rope does Karen have left?
Answer:
758.49 cm
Step-by-step explanation:
1. Subtract
8 0 7 . 4 9
4 9 . 0 0
7 5 8 . 4 9
On Average, Mercury is about 57,000,000 Km from the sun, whereas Neptune is about 4.5 x 10^9 km from the sun. What is the difference between Mercury’s and Neptune’s distances from the sun?
Answer:
4.443 x10^9
Step-by-step explanation:
Factor the following expression completely:
75y-- 5y3 - 10y2 =
Answer:
5 y (y^2 - 2 y + 15)
Step-by-step explanation:
Factor the following:
-(-5) y^3 - 10 y^2 + 75 y
Hint: | Multiply -1 and -5 together.
-(-5) = 5:
5 y^3 - 10 y^2 + 75 y
Hint: | Factor common terms out of 5 y^3 - 10 y^2 + 75 y.
Factor 5 y out of 5 y^3 - 10 y^2 + 75 y:
Answer: 5 y (y^2 - 2 y + 15)
Simplify.
14+4(12−34)2
Answer:
-162
Step-by-step explanation:
Answer:
brainliest plssss
Step-by-step explanation:
answer is in the img belowwwwww
HELP PLEASEEE!!!Determine whether or not each relationship represents a function. Explain your reasoning for the graph and also for the table.
y
-2
5
1
4
0
3
2
4
Answer:
It's not a function
Step-by-step explanation:
Due to the fact that at one x point there are multiple y values so this cannot be a function. The graph also does not pass the vertical line test, therefore it is not a function.
1. The graph is not represent a function.
2. The table shown in figure is represent a function.
What is Function?
A relation between a set of inputs having one output each is called a function.
Given that;
The graph is shown in shown in figure.
And, In the table;
Value's of x are - 2, 1 , 0 , 2
And values of y are 5, 4 3 , 4
Now,
To check the graph is the function or not, we use vertical line test.
If the vertical line draw parallel to y - axis and it cuts more than one points in the graph, then the graph is not a function.
Here, When we draw a vertical line which is parallel to y - axis then it cuts more than one point, so it is not a function.
Thus, The graph is not represent a function.
2. In the table;
Value's of x (input) are - 2, 1, 0, 2.
And values of y (output) are 5, 4, 3, 4.
Clearly, Every input have exactly one output.
So, By definition of function;
The table shown in figure is represent a function.
Therefore,
1. The graph is not represent a function.
2. The table shown in figure is represent a function.
Learn more about the function visit:
https://brainly.com/question/2328150
#SPJ2
Please answer thank you.
Answer:
a = [tex]\frac{h-r}{b}[/tex]
Step-by-step explanation:
Given
h = ab + r ( subtract r from both sides )
h - r = ab ( isolate a by dividing both sides by b )
[tex]\frac{h-r}{b}[/tex] = a
which are the roots of x^2-4x+4=20
15 points :) and ill mark brainliest
Answer:
y = − 2 x − 8
Step-by-step explanation:
Write in slope-intercept form, y = m x + b .
Answer:
Step-by-step explanation:
because you subtract both the y and x axsis then devide them
10-8 2
------- = ------ = 0.2
1 +8 9
Ruth wants to purchase a new video game that costs $59.00 and several bags of chips, c, that sell for $1.99 each. She can spend no more than $75.00. Which inequality and its solution represents her possible purchase?
Answer:76$
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
1.99 x chips + 59 game must cost less than 75
Anyone know how to do these?
Answer:
1.4x10^-7
Step-by-step explanation:
For Problem 6
First we would divide the first numbers together so 7.84 / 5.6 = 1.4
We then would add the exponenites together so -3+-4=-7
Leading our awnser to be 1.4x10^-7
−7 + 3(8n − 8) = 8(7 + 3n) please show work
Answer:
Step 1: Simplify both sides of the equation.
−7+3(8n−8)=8(7+3n)
−7+(3)(8n)+(3)(−8)=(8)(7)+(8)(3n)(Distribute)
−7+24n+−24=56+24n
(24n)+(−7+−24)=24n+56(Combine Like Terms)
24n+−31=24n+56
24n−31=24n+56
Step 2: Subtract 24n from both sides.
24n−31−24n=24n+56−24n
−31=56
Step 3: Add 31 to both sides.
−31+31=56+31
0=87
Answer:
There are no solutions.
Step-by-step explanation:
In a recent year, about 20,700,000 passengers traveled by train in the United States. What is this number
written in scientific notation?
A
2.07 x 108 passengers
B
2.07 x 104 passengers
C
2.07 x 107 passengers
D
2.07 x 10
passengers
HEY CAN ANYONE ANSWER DIS PLS!!
Kelsey went bowling. It cost her a one-time fee of $3.50 to rent shoes, and $6.50 per game she played. She does not want to spend more than $23.00. Write an inequality that could be used to determine how many games she can afford to play. Use "g" for the number of games. NO
SPACES.
$6.50g+$3.50=$23.00
Mr. Santos wanted to know the height of the tree. He observed from a point A that the angle of elevation of the top of the tree is 36 degrees. He then moved backwards 50 ft away from the initial point A, the angle of elevation of the top of the tree was 22 degrees. Find the height of the tree.
Answer:
The height of the tree is approximately 45.51 ft.
Step-by-step explanation:
The given information are;
The angle of elevation of the top of tree is 36 degrees
The distance backwards Mr. Santos moved = 50 ft.
The new angle of elevation of the top of the tree = 22 degrees
Therefore, we have;
The angle opposite to the 50 ft. side = 180 - (180 - 36) - 22° = 14°
Therefore, we have, by sine rule;
50/(sin(14)) = X/(sin(22))
X = (sin(22)) × 50/(sin(14)) ≈ 77.42 ft.
The height of the tree, T = X × sin(36°)
T = 77.42 ft. × sin(36°) ≈ 45.51 ft.
The height of the tree is approximately 45.51 ft
Explain why 10 x 2 is equivalent to 10 ÷ 1/2.
Answer:
in order to divide by a fraction, you need to multiply by its reciprocal instead, which would be 2 over 1 (2/1)
Step-by-step explanation:
in this case, 10 divided by 1/2 turns to 10 x 2/1
i tried my best, sorry if i couldnt help
∆JKL=∆QRS
what is m<Q?
enter you answer In the box
Answer:
38 degrees
Step-by-step explanation:
The two triangles are congruent, so do the following
1. Add 37 and 105 together
2. 37 + 105 = 142, subtract this from 180
3. This would amount to 38. So yeah.
how can i get 6 from four 6s . 6?6?6?= 6 we have to use -,+, division or multiplication
Answer:
ur wegfew
Step-by-step explanation:
Answer:
6?6?6?6?=6 can be 6+(-6)+*6+6which is equal to 6
I MADE ONE OF THE SIXS NEGATIVE SO, IT CAME AS 6+ NEGATIVE 6=0 AND THEN MULTIPLIED ONE SIX SO, 0*6=0 AND THEN FOR THE LAST SIX I MADE IT ADDITION SO, 0+6=6
AND THUS, FINAL ANSWER BECAME 6 ITSELF
6/x + 8/x+5 = 3
What is x
Answer:
x = -7
Step-by-step explanation:
6/x + 8/x + 5 =3
5x + 14 /x =3
Step 1: Multiply both sides by x.
5x+14=3x
5x+14−3x=3x−3x(Subtract 3x from both sides)
2x+14=0
2x+14−14=0−14(Subtract 14 from both sides)
2x=−14
2x
2
=
−14
2
(Divide both sides by 2)
x=−7
Check answers. (Plug them in to make sure they work.)
x=−7(Works in original equation)
Answer:
-7
Step-by-step explanation:
Solve for
x
by cross multiplying.
x
=
29
ASAP MULTIPLE CHOICE WILL MARK BRAINLIEST
Which one of the following Venn diagrams represents all the following set of statements? Write the appropriate letter next to the statement.
Some triangles are acute
Some triangles are obtuse
No triangle is both acute and obtuse
Some acute triangles are equilateral
Answer:
the answer is C dawg
Step-by-step explanation:
There is no relation between the acute and the obtuse triangle is given. Then the correct option is B.
What are Sets?Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as curly bracket {..}.
Venn diagrams are a representation of the sets by the diagram.
Some triangles are acute
Some triangles are obtuse
No triangle is both acute and obtuse
Some acute triangles are equilateral
There is no relation between the acute and the obtuse triangle is given. Then the correct option is B.
More about the sets link is given below.
https://brainly.com/question/8053622
find the value of a
Answer:
45
Step-by-step explanation:
81° + a° + 2a° = 180°
81° + 3a = 180°
3a = 180 - 81
3a = 99°
a = 99 ÷ 3
a = 33°
Therefore , a = 33° .
After a pizza party there are 4 2/3 pizzas left over. If the pizzas are divided so that party goers can take home 1/6 of a pizza, how many guests can take home pizza? *
1 point
8 guests
26 guests
28 guests
33 guests
Answer:
26 guests
Step-by-step explanation:
Which value is an approximate of √27 (square root of 27)
A: 3.0
B: 5.2
C: 9.0
D: 13.5
Answer:
C) 5.2
Step-by-step explanation:
The real thing looks like this 5.19615242 …
But if you round it, the answer would be 5.2.
Answer:
B
Step-by-step explanation:
Round to the nearest integer. Its closest to 5, because its sqrt 25
Help please!!!!! put a answer and explanation WILL GIVE BRAINIEST
Answer:
1. false
2. true
3. false
4. true
Step-by-step explanation:
4. 1/9 rational + 2 irrational= 8 irrational
Can someone please explain to me how to work this out?
Answer:
B
Step-by-step explanation:
the way i work it out is if you take the product and power it to the third you can easily find out which answer is correct. another way, if you don't have a calculator is to look at the last digit in the number in the square root sign.
For example, 3 square root 64 equals 8. you would look at the 4 and try to find 3 numbers that end in 4 OR is divisible three times by the number. 64 is exactly divisible by 4 only 3 times so you know that it can't be 8.
hope this helps!
What is the value of x
9514 1404 393
Answer:
5 units
Step-by-step explanation:
In this geometry, all of the triangles are similar. So, the ratio of short side to long side can be ...
x/10 = 10/4x
4x^2 = 100 . . . . . cross multiply
x^2 = 25 . . . . . . . divide by 4
x = 5 . . . . . . . . . . square root
