Answers
Answers:
Problem 14) There are 1093 different ice creams possible.Problem 15) There are 120 ways to pick the reading list.Problem 16) We have 1365 combinations.Problem 17) There are 315 different combos of cars possible.Problem 18) You can go on 21,700 different combinations of rides.==================================================
Explanations:
Problem 14
There are n = 10 toppings to choose from.
If you order r = 0 toppings, then there is nCr = 13C0 = 1 way to do this.
Use the combination formula nCr = (n!)/(r!*(n-r)!)
If you order r = 1 topping, then there are 13C1 = 13 ways to do this.
If r = 2, then we have 13C2 = 78 different combos
If r = 3, then 13C3 = 286
If r = 4, then 13C4 = 715
Add up those subtotals: 1+13+78+286+715 = 1093
Note the use of nCr instead of nPr. The order of toppings doesn't matter.
-----------------
Problem 15
Again order doesn't matter. We have n = 10 books to pick from and r = 3 selections to make.
nCr = (n!)/(r!*(n-r)!)
10C3 = (10!)/(3!*(10-3)!)
10C3 = (10*9*8*7!)/(3!*7!)
10C3 = (10*9*8)/(3!)
10C3 = (10*9*8)/(3*2*1)
10C3 = (720)/(6)
10C3 = 120
There are 120 different ways to pick the three books (from a pool of ten).
-----------------
Problem 16
Follow the same steps as problem 15. This time you'll have n = 15 and r = 4. The answer you should get is 1365
Or you could follow these steps below:
We have 15*14*13*12 = 32,760 permutations and 4! = 24 different ways to arrange any group of 4, so we have (32,760)/(24) = 1365 combinations.
nCr = (nPr)/(r!)
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Problem 17
There are 7C1 = 7 ways to pick the color and 10C2 = 45 ways to pick the two options. Therefore, there are 7*45 = 315 different cars possible.
-----------------
Problem 18
"At least 15" means "15 or more".
If you ride on r = 15 rides, out of n = 20 total, then we have nCr = 20C15 = 15504 different combinations. If you ride on r = 16 rides, out of n = 20 total, then we have nCr = 20C16 = 4845 different combinations. If you ride on r = 17 rides, out of n = 20 total, then we have nCr = 20C17 = 1140 different combinations. If you ride on r = 18 rides, out of n = 20 total, then we have nCr = 20C18 = 190 different combinations. If you ride on r = 19 rides, out of n = 20 total, then we have nCr = 20C19 = 20 different combinations. If you ride on r = 20 rides, out of n = 20 total, then we have nCr = 20C20 = 1 combo onlyAdd up the subtotals to get
15504+4845+1140+190+20+1 = 21,700
Related Questions
find the radius of a circle if the circumference is 66cm
Answers
Answer:
Approximately 10.5, or 10.5095541.
Step-by-step explanation:
To find the radius given the circumference of a circle, we first have to divide the circumference by pi, or an estimation of 3.14. This will give us the diameter.
Since we know that the radius of a circle is simply half the diameter, we divide the number we got from the problem above by 2. This will give you your answer!
Answer:
r = 10.50
Step-by-step explanation:
Circumference =
[tex]2\pi \: r[/tex]
[tex] 66 = 2\pi \: r[/tex]
[tex] \frac{66}{2\pi} = r[/tex]
r = 10.5
Express the given repeating decimal as a quotient of integers. If possible, reduce to lowest terms.
Answers
Answer:
4
Step-by-step explanation:
Robin has colored pants in a drawer that she wears for work. She has the following pants:
6 red pants
9 yellow pants
8 blue pants
2 orange pants
If Robin picks a pair of pants from the drawer without looking, the probability that she will pick a red or yellow pair of pants is
i need help asap pls anyone i will be so thankful
Answers
Answer:
3/5 times or 60%
Step-by-step explanation:
Answer:
3/5 or 60%
Step-by-step explanation:
The total amount of pants are 6 + 9 + 8 + 2 = 25. The amount that are red or yellow are 9 + 6 = 15. The probability is 15/25, or 3/5, or 60%
Need some help on this
Answers
9514 1404 393
Answer:
a. set 1: 29 minutes; set 2: 25 minutes
b. set 1 is more challenging than set 2
Step-by-step explanation:
a. The mean is found by adding the times and dividing by the number of times. For set 1, that is ...
(2×27 +2×28 +3×29 +2×30 +33)/10 = 290/10 = 29 . . . minutes
For set 2, that is ...
(4x24 +4×25 +2×27)/10 = 250/10 = 25 . . . minutes
__
b. The mean of set 1 is higher, and the spread is wider, suggesting more students have more trouble with the problems of set 1. That is, ...
set 1 is more challenging than set 2
what degree of rotation about the origin will cause the triangle below to map onto itslef
Answers
Answer:
[tex]360^o[/tex]
Step-by-step explanation:
Given
The attached plot
Required
Which degree maps the triangle onto itself
The degrees that can map a point, line, or shape onto itself are:
[tex]\theta=360,720,1080,1440, 1800, 2160, 2520, 2880, 3240, 3600[/tex]
i.e. multiples of 360
Looking at the given options
[tex](a)\ 360^o[/tex] is correct because it can be found in the listed multiples
In other words, it will map point [tex](x,y)[/tex] to point [tex](x,y)[/tex]
how to solve 36x-8y2 x is 3 y is -6
Answers
increase 21 kobo by 35%
Answers
Answer:
28.35
Step-by-step explanation:
you can use mathswatch or hegarty maths to help u
Amy runs 10 miles in 85 minutes. At the same rate, how many minutes would she take to run 8 miles?
Answers
9514 1404 393
Answer:
68 minutes
Step-by-step explanation:
At the same rate, she will run 8/10 of the distance in 8/10 of the time.
(8/10)(85 minutes) = 68 minutes
It would take Amy 68 minutes to run 8 miles.
15,60,240,... Find the 6th term .
Answers
Answer:
61440
Step-by-step explanation:
15 x 4= 60
60 x 4= 240
240 x 4= 960
960 x 4= 3840
3840 x 4 = 15360
15360 x 4= 61440
The 6th term = 15360.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
the given sequence 15,60,240,...
1st trem = 15
common ratio = 4
so, 6th term = 15* 4^5
=15360
hence, The 6th term = 15360.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
Find 35% of a number is 70 find the number
Answers
Answer:
200.
Step-by-step explanation:
35% = 0.35 so
0.35x = 70
x = 70 / 0.35
= 200.
Answer:
200
Step-by-step explanation:
Let the number = x
35% of x = 70
35/100 * x = 70 Multiply by 100
35x = 70 * 100
35x = 7000 Divide by 35
x = 7000/35
x = 200
Tina's user ID is a 5-digit number.
• 9 is in the ten thousands place.
• The digit in the ones place is two less than the digit in ten thousand place.
• Digit in the thousands place is one less than digit in ten thousand place.
• 4 is in the tens place.
• Digit in the hundreds place is the number of sense organs.
What is Sara’s user ID number? _____________
Answers
Answer:
98547
Step-by-step explanation:
(3)^4 times (3)^3 simplified version using exponents
Answers
Answer:
I'm pretty sure your answer is [tex]3^1^1[/tex]
Step-by-step explanation:
please help me solve this
Answers
Answer:
x = 4.58
Step-by-step explanation:
5² = 2² + x²
x² = 5² - 2²
x² = 25 - 4
x = √21
× =4.58
PLEASE HELP ME ASP !!!
Answers
Answer:
x=11
Step-by-step explanation:
22*y=32
y=16/11
So,
x*16/11=16
x=11
Answer:A
Step-by-step explanation:
i know the answer but i need a thorough explanation on how to do this. pls answer the questions i have for brainliest thank you
Answers
Answer:
i think because it's powered by 4
(3^3)^(4/3) * (x^3)^(4/3) =
3^(3*4/3) * x^(3*4/3) =
3^4 * x^4 =
81*x^4
It is well known that steroid usage is banned in athletes. As a result, athletes are randomly tested. The steroid test procedures are believed to be equally effective on both steroid users as well as non-steroid users. The effective rate is 98%. Assume 90% of the athletes are clean (not steroid users). Suppose an athlete is tested as a steroid user (and thus could be disqualified from the Summer Olympics games), what is the probability that the athlete is actually clean (i.e., not a steroid user)
Answers
Answer:
18% that the athlete is disqualified but is actually clean
Step-by-step explanation:
In order to find the probability of two events happening together, in this case the athlete being disqualified and being clean, we need to multiply the probabilities. So,
It is a 90% chance that the athlete is clean and a 2% chance that the test fails so multiply the two
.9 * .2 = .18
This means that it is an 18% chance that the athlete is clean but is still disqualified.
7th grade math help :)
Answers
One McDonald’s drink is $10
The burger is $5
The fries are $2
5+2 = 7x10 = 70
may you help me with this question?
Answers
Step-by-step explanation:
OK so add the 66 and the square=90, so add 66 and 90 then subtract it from 180 and then you will get x
Step-by-step explanation:
On April 30, 1789, George Washington, standing on the balcony of Federal Hall on Wall Street in New York, took his oath of office as the first President of the United States.Examples of magnetic force is a compass, a motor, the magnets that hold stuff on the refrigerator, train tracks, and new roller coasters. All moving charges give rise to a magnetic field and the charges that move through its regions, experience a force.
Came someone help me answer this one?
Answers
Answer:
Let x = ducks
Let y = goats
Equation 1: x+y=38
Equation 2: 2x+4y=90
Step-by-step explanation: (Work)
The question says two kinds of animals, so let x be "ducks" and y be "goats."
Number one equation: x+y=38
Number two equation: 2x+4y=90
Explanation:
The x+y=38 represents how many animals there will be if you add both the ducks and goats.
The 2x+4y=90 represents the legs of the animals, the 2x represents the 2 legs of the ducks and the 4y represents the 4 legs of the goats.
I NEED HELP The measure of an angle is 74.6°. What is the measure of its supplementary angle?
Answers
Answer:
105.4º
Step-by-step explanation:
supplementary angles total 180º
180 - 74.6 = 105.4º
Which one
60in
84in
120in
168in
Answers
Answer:
84in
Step-by-step explanation:
Triangle Formula: 1/2bh
16*8=48*1/2 = 24
15*8= 120*1/2= 60
24+60= 84
The question is in the picture (:
Answers
Answer:
[tex] \frac{(x - 2)(x + 2)}{x - 8} [/tex]
11. How can you solve the system? Complete the
sentence
(3x + 3y = 9
-6x – 4y = -14
Multiply 3x + 3y = 9 by ?and add
it to -6x – 4y = -14.
X Х
Answers
Answer:
Multiply by 2.
Step-by-step explanation:
Given the following simultaneous equations;
3x + 3y = 9 ......equation 1
-6x – 4y = -14 ......equation 2
To solve the equation by elimination, we would multiply eqn 1 by 2;
6x + 6y = 18
-6x – 4y = -14
Adding them together, we have;
0x + 2y = 4
2y = 4
y = 4/2
y = 2
To find the value of x;
3x + 3y = 9
3x + 3(2) = 9
3x + 6 = 9
3x = 9 - 6
3x = 3
x = 3/3
x = 1
Therefore, to solve the system of equations, you will multiply 3x + 3y = 9 by 2 and add it to -6x – 4y = -14.
Pleaseeeee help me with this question
Answers
You are curious about the average number of yards Matthew Stafford throws for each game for the Detroit Lions. You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards. You want to create a 95% confidence interval for the true average number of yards per game he throws. What is the margin of error for this estimate
Answers
Answer:
The margin of error for this estimate is of 14.79 yards per game.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.093
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.
This means that [tex]n = 20, s = 31.61[/tex]
What is the margin of error for this estimate?
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
[tex]M = 2.093\frac{31.61}{\sqrt{20}}[/tex]
[tex]M = 14.79[/tex]
The margin of error for this estimate is of 14.79 yards per game.
in 2007 the poverty threshold for a family of four two of whom were related children was $21027 at the same time the poverty threshold for a family of four three of whom were related children was 21100 for each of the preceding years the difference between these two thresholds was less than $100 what is the conclusion you can draw from this
Answers
Answer:
MINIMUM WAGE does not increase much over time
Step-by-step explanation:
Based on the information given the conclusion you can draw from this is that MINIMUM WAGE DOES NOT INCREASE OR TEND TO GO UP MUCH OVER TIME Since the MINIMUM WAGES of the poverty threshold of whom TWO were related children was the amount of $21,027 and the poverty threshold of whom THREE were related children was the amount of $21,100 indicating that the minimum wages only increase from $21,027 to $21,100 given us the amount of $73 ($21,027 -$21,100) which is less than the amount of $100 as the difference between these TWO THRESHOLDS for each of the preceeding year.
A shirt originally cost $15, but it was marked down 5%. How much does the shirt cost now? Don't forget the $ symbol.
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===============================================
Explanation:
There are two approaches we can take.
The first approach is finding the amount we save, which is 5% of 15 = 0.05*15 = 0.75 dollars or 75 cents.
So the new price is 15 - 0.75 = 14.25 dollars
----------------
The second approach is to think of it like this: If you save 5%, then you still have to pay the remaining 95% (the two percentages add to 100%).
95% of 15 = 0.95*15 = 14.25
This second approach is handy if you want to chain multiple discounts together. So let's say there's a special 10% off sale on top of the 5% discount. We would multiply by 0.90 to further discount by 10% and get to 0.90*0.95*15 = 12.825 = 12.83. It also works in reverse too and we could chain percent increases along with percent decreases.
3 to the fourth power +9
Answers
Answer:
81
Step-by-step explanation:
3*3=9
9*3=27
27*3=81
Answer: 90
Step-by-step explanation:
3 to the fourth power = 81
81 + 9 = 90
A cylinder has a height of 10 millimeters and a radius of 3 millimeters. What is its volume?
Use - 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
18312.5mm³
Step-by-step explanation:
Given parameters:
Height of cylinder = 18mm
radius = 18mm
Unknown:
Volume of the cylinder = ?
Solution:
The volume of cylinder is given as;
Volume = π r ² h
Insert the given parameters and solve;
Volume = 3.14 x 18² x 18
Volume = 18312.5mm³
Answer:
282.6
Step-by-step explanation:
volume= h*(pie*r^2)
3*3=9
9*pie=28.26
10*28.6=282.6
need help will give brainiest
Answers
Answer:
1) ∠M
2) MT, GT
3) ∠G
4) not enough information...because we are given two congruent sides but an angle that is not included.
5) SAS because two sides are congruent (including the one they share) and an included angle.
6) SSS because three sides are congruent (including the one they share).