can somebody help me with this quickly I forgot how to do this and yeah ill mark you!
Answers
Answer:
4/11 i believe
Step-by-step explanation:
Related Questions
A store sells 8 colors of balloons with at least 28 of each color. How many different combinations of 28 balloons can be chosen? Apply the method of Example 9.6.2 using balloons instead of cans of soft drinks to find that the number of different combinations of 28 balloons that can be chosen is . (b) If the store has only 12 red balloons but at least 28 of each other color of balloon, how many combinations of balloons can be chosen? Use the method of Example 9.6.2(c) to answer this question. If the store has only 12 red balloons, then the number of different selections of 28 balloons of the different colors is the same as the number of different selections that contain 12 or fewer red balloons. Let T be the set of all possible selections, assuming that there are at least 28 balloons of each type, let R≤12 be the set of selections in T that contain 12 or fewer red balloons, and let R≥13 be the set of selections from T that contain 13 or more red balloons. Use the relationships among R≤12, R≥13, and T to find that the number of different combinations of 28 balloons that can be chosen is . (c) If the store has only 8 blue balloons but at least 28 of each other color of balloon, how many combinations of balloons can be chosen? (d) If the store has only 12 red balloons and only 8 blue balloons but at least 28 of each other color of balloon, how many combinations of balloons can be chosen?
Answers
Answer:
(a) [tex]Selection = 6724520[/tex]
(b) [tex]At\ most\ 12 = 6553976[/tex]
(c) [tex]At\ most\ 8 = 6066720[/tex]
(d) [tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 5896638[/tex]
Step-by-step explanation:
Given
[tex]Colors = 8[/tex]
[tex]Balloons = 28[/tex] --- at least
Solving (a): 28 combinations
From the question, we understand that; a combination of 28 is to be selected. Because the order is not important, we make use of combination.
Also, because repetition is allowed; different balloons of the same kind can be selected over and over again.
So:
[tex]n => 28 + 8-1[/tex][tex]= 35[/tex]
[tex]r = 28[/tex]
[tex]Selection = ^{35}^C_{28[/tex]
[tex]Selection = \frac{35!}{(35 - 28)!28!}[/tex]
[tex]Selection = \frac{35!}{7!28!}[/tex]
[tex]Selection = \frac{35*34*33*32*31*30*29*28!}{7!28!}[/tex]
[tex]Selection = \frac{35*34*33*32*31*30*29}{7!}[/tex]
[tex]Selection = \frac{35*34*33*32*31*30*29}{7*6*5*4*3*2*1}[/tex]
[tex]Selection = \frac{33891580800}{5040}[/tex]
[tex]Selection = 6724520[/tex]
Solving (b): At most 12 red balloons
First, we calculate the ways of selecting at least 13 balloons
Out of the 28 balloons, there are 15 balloons remaining (i.e. 28 - 13)
So:
[tex]n => 15 + 8 -1 = 22[/tex]
[tex]r = 15[/tex]
Selection of at least 13 =
[tex]At\ least\ 13 = ^{22}C_{15}[/tex]
[tex]At\ least\ 13 = \frac{22!}{(22-15)!15!}[/tex]
[tex]At\ least\ 13 = \frac{22!}{7!15!}[/tex]
[tex]At\ least\ 13 = 170544[/tex]
Ways of selecting at most 12 =
[tex]At\ most\ 12 = Total - At\ least\ 13[/tex] --- Complement rule
[tex]At\ most\ 12 = 6724520- 170544[/tex]
[tex]At\ most\ 12 = 6553976[/tex]
Solving (c): At most 8 blue balloons
First, we calculate the ways of selecting at least 9 balloons
Out of the 28 balloons, there are 19 balloons remaining (i.e. 28 - 9)
So:
[tex]n => 19+ 8 -1 = 26[/tex]
[tex]r = 19[/tex]
Selection of at least 9 =
[tex]At\ least\ 9 = ^{26}C_{19}[/tex]
[tex]At\ least\ 9 = \frac{26!}{(26-19)!19!}[/tex]
[tex]At\ least\ 9 = \frac{26!}{7!19!}[/tex]
[tex]At\ least\ 9 = 657800[/tex]
Ways of selecting at most 8 =
[tex]At\ most\ 8 = Total - At\ least\ 9[/tex] --- Complement rule
[tex]At\ most\ 8 = 6724520- 657800[/tex]
[tex]At\ most\ 8 = 6066720[/tex]
Solving (d): 12 red and 8 blue balloons
First, we calculate the ways for selecting 13 red balloons and 9 blue balloons
Out of the 28 balloons, there are 6 balloons remaining (i.e. 28 - 13 - 9)
So:
[tex]n =6+6-1 = 11[/tex]
[tex]r = 6[/tex]
Selection =
[tex]^{11}C_6 = \frac{11!}{(11-6)!6!}[/tex]
[tex]^{11}C_6 = \frac{11!}{5!6!}[/tex]
[tex]^{11}C_6 = 462[/tex]
Using inclusion/exclusion rule of two sets:
[tex]Selection = At\ most\ 12 + At\ most\ 8 - (12\ red\ and\ 8\ blue)[/tex]
[tex]Only\ 12\ red\ and\ only\ 8\ blue\ = 170544+ 657800- 462[/tex]
[tex]Only\ 12\ red\ and\ only\ 8\ blue\ = 827882[/tex]
[tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = Total - Only\ 12\ red\ and\ only\ 8\ blue[/tex]
[tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 6724520 - 827882[/tex]
[tex]At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 5896638[/tex]
Which equation represents 7/3 ? Select all that apply.
Answers
Derek has 2 feet of Tasty Cherry Rope. He plans on splitting it evenly between himself and 5 of his friends. How many inches should eat person get?
Answers
Answer:
4 inches
Step-by-step explanation:
There are six people total (derek+5 friends)
2 feet = 24 inches
24 inches divided by the 6 people = 4 inches per person
help plzzzzzz!!!!!!!
Answers
What is the volume of the prism?
2 cm
3cm
11 cm PLS HURRY
Answers
Answer:
66
Step-by-step explanation:
multiply everything together
3a. Find the value of a.
Can you pls add work thank you for your time
Answers
Answer:
I think its 90°
Step-by-step explanation:
I dont know foe suee
Answer:
a = 98⁰
Step-by-step explanation:
According to the the triangle sum thereom, all angles in triangle add up to 180⁰.
m<a + m<b + m<c = 180⁰
m<a + 34⁰ + 48⁰ = 180⁰
m<a + 82⁰ = 180⁰
m<a + 82⁰ - 82⁰ = 180⁰ - 82⁰
m<a = 98⁰
Hope this helps, thank you :) !!
Eli built a 3-D model of a building, as shown below. Eli wrote the following calculation to find the volume.
Which is a correct description of the error Eli made while calculating the amount of sand needed to fill the model?
A. He did not include the volume of the horizontal prism.
B. He did not include the volume of the vertical prism.
C. He included the volume of where the prisms overlap twice.
D. He included the volume of the entire horizontal prism twice.
Answers
Answer:
The answer is C!
Step-by-step explanation:
C).Answer:
Have a greattt day;)
Step-by-step explanation:
Write the equation of the line in either point-slope form or slope-intercept form.
Write the equation of a line that has a slope of -3 and passes through the point (1.25, -4).
Use the drop-down menus to select the appropriate values in the equation.
y = _ x + _
Answers
Answer:
here you go hope this helps
Step-by-step explanation:
y= -3x + -4
Answer:
answer in picture
Step-by-step explanation:
3/4 to the 2nd power
Answers
[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]
[tex]3/4[/tex] [tex]to[/tex] [tex]the[/tex] [tex]second[/tex] [tex]power[/tex] [tex]is[/tex] [tex]9/16[/tex] [tex]or[/tex] [tex]0.5625[/tex]
[tex]- Yaoii[/tex]
Tickets for a school jazz concert were sold before the concert and at the door. After reviewing ticket sales, the band director found that 80 fewer tickets were purchased at the door than before the concert. A total of 520 tickets were sold. Let d represent the number of tickets sold at the door and b represent the number of tickets sold before the concert. Latifa wrote the following system of linear equations to find the number of each type of ticket sold:
d + b = 520. d minus 80 = b.
What is Latifa’s error?
Latifa should have written the first equation as d minus b = 520.
Latifa should have written the second equation as d + b = 80.
Latifa should have written the first equation as b + 80 = 520.
Latifa should have written the second equation as d + 80 = b.
Answers
Answer:
D
Step-by-step explanation:
A. one solution
B. infinitely many solutions
C. no solution
Answers
How many terms are in this expression ? 9k + 4m
Answers
Answer:
2 terms
Step-by-step explanation:
ryan climbed 100 steps in 50 seconds. How many steps did he climbed per second? Step by step. Show the full procedure.
Answers
Math 143 flooring lab
Answers
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
an angle measures 66° less than the measure of its complementary angle. what is the measure of each angle
Answers
Answer:
12 and 78
Step-by-step explanation:
The sum of complementary angles is 90 degrees
X+(x-66) = 90
2x = 156 x = 78
78-66 = 12
Ms. Gittens went out to dinner and the total bill was $60. She wants to give the waiter a %20 tip. How much money should Ms. Gittens give the waiter for a tip?
Answers
Answer:
$12
Step-by-step explanation:
20% of 60 = 12
Answer:
12 .....20% of 60 is = 12
Step-by-step explanation:
Evaluate the following expression.
3 to power of 1
Answers
Answer:
3
Step-by-step explanation:
it is 3 3x1 is 3
Points D and E are midpoints of the sides of triangle
ABC. The perimeter of the triangle is 48 units.
What is the value of t?
2
3
6
8
*ANSWER IS 2 just took the test*
Answers
Answer:
A. 2
Step-by-step explanation:
From the diagram, it is indicated;
AD = DB = 3t,
AC = 7t + 6
CE = EB = 4t
Perimeter = 48 units
Perimeter = AD + DB + AC + CE + EB
Plug in the values
48 = 3t + 3t + 7t + 6 + 4t + 4t
Add like terms
48 = 21x + 6
48 - 6 = 21x + 6 - 6
42 = 21x
42/21 = 21x/21
2 = x
x = 2
for what value of x is the equation below true?
x2+4x +5=0
Answers
Hi there!
[tex]\large\boxed{\text{None.}}[/tex]
Using the discriminant formula, we can determine if this equation is ever true:
b² - 4ac
Plug in the a, b, and c values from the equation:
(4)² - 4(1)(5)
16 - 20 = -4 < 0
Since the discriminant is less than 0, there are no zeros to the equation. Thus, the equation is never true.
Solve the proportion 3/x+1 = 1+2
Answers
Answer:
x = 5
Common denominator of 3/x+1 to 1/2
If the numerator is 3 times, then so is the denominator in a proportion.
3/1=x+1/2
x+1 must equal 6 for the proportion to be equal to 1/2.
6-1=5, so x is 5.
what is the volume of this composite solid
Answers
Answer:
C
Step-by-step explanation:
198 cubic meters
please help guys asap
Answers
Answer:
28 i think
Step-by-step explanation:
What percent of people surveyed from San Francisco wear Adidas shoes? Round to the nearest percent when necessary.
Answers
Answer:
33
Step-by-step explanation:
Add 165 and 80 to get 245. 80 times 3 = 240.
So 80 is around 1/3 of 240. In other words it is around 33%
Answer:
5
Step-by-step explanation:
A television news program asks its viewers to call in to give their opinions on an upcoming ballot question. What type of sampling method does this represent?
Answers
Answer:
This is an example of self selecting sampling
Step-by-step explanation:
This is an example of self selecting sampling because the news program is asking viewed to give their opinions. The viewers themselves have a choice of participating in the sample therefore is self selecting.
Help Please! SOS! ASAP!
Answers
Answer:
45
Step-by-step explanation:
If you write it out it will look like this, 2x+45+x=180
3x+45=180
3x+45=180
-45 -45
3x=135
/3 /3
x=45
Answer:
x=45
Step-by-step explanation:
Straight angles/lines are equal to 180 degrees. If you add the equations together to get 180 and simplify you'll find the answer. So, start out with the equation 2x+45+x=180.
1. Add like terms. 3x+45=180
2. Subtract 45 from both sides. 3x=135
3. Divide by 3 on both sides to get x by itself. x=45
4. Just to make sure, plug in 45 for x. 2(45)+45+45=180. Sure enough, it works!
Emma is choosing a weekly meeting time. She hopes to have two different
managers attend on a regular basis. The table shows the probabilities that
the managers can attend on the days she is proposing.
Assuming that manager A's availability is independent of manager B's
availability, which day should Emma choose to maximize the probability that
both managers will be available?
A. Monday. The probability that both managers will be available is
0.94.
B. Monday. The probability that both managers will be available is
0.67.
C. Wednesday. The probability that both managers will be available is
0.91.
D. Wednesday. The probability that both managers will be available is
0.71.
Answers
Answer:
Probability that both managers can attend:
Monday- 0.73x0.94 = 0.69
Tuesday- 0.78 x 0.91 = 0.71
So, d is correct.
Let me know if this helps!
The day Wednesday choose to maximize the probability that both managers will be available. The probability that both managers will be available is 0.71.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability can be defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Probability that both managers can attend, consider that manager A's availability is independent of manager B's availability,
Monday;
0.73x0.94 = 0.69
Tuesday;
0.78 x 0.91 = 0.71
So, the option d is correct.
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ7
Helpppppppppppppppp
Answers
Answer:
tjrjrkrkrkrkurjrjrjrjrnr s jkalsmrnrnd
HELP ASAP. What is the area of this trapezoid and the formula. Please explain your reason.
Answers
Answer:
base 1 + base 2 times height times half (basically dividing by 2) is the formula of a trapezoid. 25 + 35 = 60 x 21 = 1260 divided by 2 is 630
What is the area of this figure?
Enter your answer in the box.
Answers
Answer:
24
Step-by-step explanation:
Area of the 1st upright rectangle: 3x4=12
Area of 2nd rectangle: rectangle: 6x1=6
area of triangle: ((1st leg)x(2nd leg))/2=(4x3)/2=6
1st leg=4
2nd leg=6-3=3
12+6+6
24=area
Hope this helps :)
Blake is going to invest $79,000 and leave it in an account for 9 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Blake to end up with $96,000?
Answers
Answer:
r =2.2%
Step-by-step explanation: