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
Simplify. Express your answer using positive exponents.
Answer:
48a^2b^6c^5d^2
Step-by-step explanation:
Multiply whole numbers and add exponents.
Answer:
48 (a^2) (b^6) (c^5) (d^2)
Step-by-step explanation:
^ shows an exponent
Which explains why the graph is not a function?
5
4
.3
It is not a function because the points are not
connected to each other.
It is not a function because the points are not related
by a single equation.
It is not a function because there are two different x-
values for a single y-value.
It is not a function because there are two different y-
values for a single x-value.
1 -
-5 -4 -3 -2 -1.
-17
1
2
3
4
5
х
-2
-3
4
Answer:
It is not a function because there are two different y-
values for a single x-value.
Step-by-step explanation:
x values can repeat, as long as the function passes the vertical line test, you're good
Which of the following equations have exactly one solution?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
19x+18=-19x+1819x+18=−19x+1819, x, plus, 18, equals, minus, 19, x, plus, 18
(Choice B)
B
19x-18=-19x+1819x−18=−19x+1819, x, minus, 18, equals, minus, 19, x, plus, 18
(Choice C)
C
-19x-18=-19x+18−19x−18=−19x+18minus, 19, x, minus, 18, equals, minus, 19, x, plus, 18
(Choice D)
D
-19x+18=-19x+18−19x+18=−19x+18
Answer:
I believe that B and C are the answers
Answer:
The answer is A and C.
Step-by-step explanation:
I got this answer from Khan Academy
Hope this helps! :)
Rewrite the equation of the line 5y=-1/4x-6
write it how would you respect to x or respect to y
What is the product of -2 2/1 and -3 3/1 help please
Answer:
8 1/3
Step-by-step explanation:
Answer: 8 1/3 is the correct answer
Step-by-step explanation:
i love math and i did the math its correct
Teresa says she stacks about 7 dishes by hand every minute.
What line represents Teresa’s statement?
A. Line a
B. Line b
C. Line c
D. Line d
Answer:
line D
Step-by-step explanation:
ldentify the hypothesis of the statement
If the slope of a line is positive, then the line is not horizontal.
A) the line is not vertical
B) the line is not horizontal
C) the slope of a line is positve
D) the slope of a line is negative
Answer:
C the slope of a line is positive
Step-by-step explanation:
Hypothesis: The phrase following the "if" part of a conditional statement. So the answer would be c- The slope of a line is positive.
C) the slope of a line is positive
A conditional statement has two parts: hypothesis (if) and conclusion (then).
We have the given statement as:
If the slope of a line is positive, then the line is not horizontal.
Here, "if" part of a conditional statement is the slope of a line is positive
So, the hypothesis of the statement is the slope of a line is positive
Therefore the correct option is (C).
Learn more: https://brainly.in/question/1245685
Find x. Give reasons to justify your solution.
Step-by-step explanation:
5x+x+90=360
6x=360-90
6x=270
x=270/6
x=45
Subtract. Then, in two or more complete sentences, explained how you found the difference. In your explanation, make sure to include any equivalent expressions you wrote, any rules you used, and the answer.
-1 5/12 - 7/12
Answer:can I see a pic
Step-by-step explanation:plzzzz
Answer:
-1 5/12 - 7/12 = is -2/12
Step-by-step explanation:
Why does the government charge high taxes on cigarettes
Answer:
It depends on the demand for them.
Step-by-step explanation:
If the demand or desire for them goes up then the tax goes up. Just like Clorox in stores it is $14 dollars now when it used to be $4. And 3 packages of Clorox wipes is about $100. There is a big demand for sanitation products now!
Please do help!!!!!!!
the amount of money rachel earns varies directly with the number of hours she works. if sue earns $600 when she works 40 hours , how much will she earn for working 85 hours ?
Answer: She will earn $1275
Step-by-step explanation:
it says sue earns 600 for working 40 hours so divide 600 by 40 to find out how much earns per hour which is $15 (600/40=15) then you take 15 time 85 to find out how much she earns (15x85=1275).
from the first step of the construction, drawing the arcs on both rays establishes that AB is
similar to AC
Congruent to AC
Different from AC
Answer: The answer is “Congruent to AC” !! When you are making an arc on both rays, they should measure/be exactly the same, and even more exact is you are using a compass
Step-by-step explanation:
Fatima Sheroud sells children's clothing for The
Grasshopper Shoppe. She is paid weekly on a straight
commission of 4% on sales of $5,000.00 or less and 5% on sales in
excess of $5,000.00. One week Fatima had a gross pay of $594.50.
What were her total sales for that week
Answer:
7890
Step-by-step explanation:
(5000*4%)+(x*5%)=594.50
200+(x*5%)=594.50
x*5%=394.50
x=7890
Jessica has collected bead all
Summer She started with 50
summer this summer then she was able to add 34
To her cullection she wanted to give 4 friend some beads how many beads will each friend get
Use the explicit formula to determine the 50th term in the sequence:
2,5,8,11,14,...
Answer:
149
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence.
5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3 , thus
a₅₀ = 2 + (49 × 3) = 2 + 147 = 149
Fill in each blank for the function f(x) = 3x - 6.
Answer:
IM SLOWWWWWWWWWWWWWWWWWWWWWw
Step-by-step explanation:
What is the simplified expression
-9x(-9 + 6x) - 5x(7 + 4x)
F. 72x
G. -74x^2 + 116x
H. -74x^2 + 46x
J. 80x
Which units are most appropriate for measuring the length of an edge of a postage stamp?
A. Centimeters
B. Feet
C. Kilometers
D. Yards
Answer:
A. Centimeters
Step-by-step explanation:
Option A) is correct.
Solution:
Centimeter is the most appropriate unit for measuring the length of an edge of a postage stamp because feet, kilometer and yards are use for measuring larger objects and edge of an postage stamp is very small in size.
For more information, refer the link given below
https://brainly.com/question/22059747?referrer=searchResults
Edwin and Anthony are building a rectangular deck in their backyard. The longer side is 2 ft more than 1/3 of the perimeter. The shorter side is 1/10 of the perimeter. They also know that the longer side is 9 ft longer than the shorter side. What is the perimeter of the deck?
Answer:
30 ft
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Let
Perimeter = x
Length = 1/3x + 2
Width = 1/10x
Length = 9 + 1/10x
Perimeter of the deck = 2(length + width)
x = 2(1/3x + 2 + 1/10x)
x = 2(10x+3x/30 + 2)
x = 2(13/30x + 2)
x = 26/30x + 4
x - 26/30x = 4
30x-26x/30 = 4
4/30x = 4
Divide both sides by 4/30
x = 4 ÷ 4/30
= 4 × 30/4
x = 30 ft
Length = 1/3x + 2
= 1/3(30) + 2
= 30/3 + 2
= 10 + 2
= 12 ft
Width = 1/10x
= 1/10(30)
= 30/10
= 3 ft
Length = 9 + 1/10x
= 9 + 1/10(30)
= 9 + 30/10
= 9 + 3
= 12 ft
The perimeter of the deck = x = 30 ft
Mr. Hare left at 8:00 a.m. and is traveling 50 miles per hour. Mrs. Hare left at 9:00 a.m. and is traveling at 55 miles per hour. If Mr. and Mrs. Hare are traveling the same direction, what time will it be when Mrs. Hare first passes Mr. Hare?
A. 7:00 p.m.
B. 8:00 p.m.
C. 9:00 p.m.
D. 10:00 p.m.
Answer: B 8:00pm
Step-by-step explanation:
What can give you the height 623 ft
Answer:
not enough of information
Step-by-step explanation:
Yall are so wrong do your math again people
Answer:
What math? you havent posted anything on here
p(x) = 2x2 + 5x - 9
Part A
Evaluate p(1.75).
Answer:
Hi there!
Your answer is:
p(1.75) = 5.875
Step-by-step explanation:
p(1.75) means to plug in 1.75 for x
p(1.75)= 2(1.75)^2 + 5(1.75) - 9
6.125 + 8.75 - 9
SIMPLIFY
5.875
Hope this helps!
2. What is the volume of this object?
1 m
2 m
4 m
3 m
3 m
6 m
Answer:
19
Step-by-step explanation:
What is the length of AZ?
Use the following information:
A
is between Y
and Z,
YA=22, AZ=16x,
and YZ=166.
The required length of AZ for the line segment YZ is 144.
Given that,
A is between Y and Z,
YA=22, AZ=16x, and YZ=166.
The line is a curve showing the fastestdistance between 2 points.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
YZ = YA + AZ
166 = 22 + 16x
16x = 144
x = 9
Now,
Length of AZ = 16x
= 16 * 9
= 144
Thus, the required length of AZ for the line segment YZ is 144.
Learn more about lines here:
brainly.com/question/2696693
#SPJ2
Maria had a baby last week. She weighed 12 pounds at the time of birth. She weighs 1 1/2 pounds more each week. If Maria’s baby continues to grow like this, how much will she weigh after 26 weeks?
Answer:
27 she will weigh
Step-by-step explanation:
just 26+1=27
After learning how to fly, Wendy reduced her daily commute time by 75% Previously, her commute took m minutes. Which of the following expressions could represent Wendy's commute time, in minutes, after she learned how to fly? Help guys i don't know
Answer:
Given:
(i) Wendy reduced her daily commute time by 75% by learning how to fly.
(ii) Previously, it took her 'm' minutes to commute.
To find:
(i) Wendy's commute time in minutes after she learned how to fly.
Solution:
Given that earlier it took Wendy 'm' minutes to commute.
After learning how to to fly, the commute time reduced by 75%.
So, time taken now = (100-75)% of previous time
= 25% of 'm' minutes
= \frac{25m}{100}
100
25m
= \frac{m}{4}
4
m
So, the time taken by Wendy now is \frac{m}{4}
4
m
minutes.
Which is the graph of the linear function that is represented by the equation y = one-half x minus 2?
On a coordinate plane, a line goes through points (negative 1, 0) and (0, 2).
On a coordinate plane, a line goes through points (negative 2, 0) and (0, 1).
On a coordinate plane, a line goes through points (0, negative 2) and (4, 0).
On a coordinate plane, a line goes through points (0, negative 2) and (1, 0).
Pls help me It's overdue by about 20 minutes now ;w;
Our slope is 1/2x and our intercept is -2
Our line starts at (0, -2).
Using the slope, the second point is at (0 + 1, 2 + -2) = (1, 0)
The last answer choice is correct.
Answer:
d
Step-by-step explanation:
What is the value of y?
y - 12
56
#
Choice
A.
56°
B.
1120
C.
440
D.
68°
9514 1404 393
Answer:
D. 68°
Step-by-step explanation:
The sum of angles in a triangle is 180°, so ...
y° +(y-12)° +56° = 180°
2y = 136
y = 68
The angle marked y° is 68°.