How many ways can we award a 1st, 2nd and 3rd place prize among eight contestants?
56 ways
none of these
40320 ways
336 ways
Answers
Answer:
Total number of ways are 336.
Step-by-step explanation:
It is required to find the number of ways in which we can award a 1st, 2nd and 3rd place prize among eight contestants. It means we need to find the number of permutations. We need to find \(^8P_3\).
Here, r = 3
So,
\(^nP_r=\dfrac{n!}{(n-r)!}\\\\^8P_3=\dfrac{8!}{(8-3)!}\\\\^8P_3=\dfrac{8!}{5!}\\\\^8P_3=\dfrac{8\times 7\times 6\times 5!}{5!}\\\\^8P_3=336\)
So, there are 336 ways.
Related Questions
Petra is participating in a program where she takes surveys. The table below shows the number of questions she took each day. Which scatter plot matches the table?
A. X
B. Z
C. Y
D. W
Answers
Answer:
x I believe
Step-by-step explanation:
Why is the equator region the hottest part of Earth’s surface?
The equator region has the widest diameter.
The sun shines directly on the equator region.
The rays of the sun hit the equator region at an angle.
The equator region is closest to the sun.
Answers
Answer: The sun shines directly on the equator region.
Step-by-step explanation: Ultimately, the temperature in an area depends on the amount of the Sun's energy reaching the surface in that area. The amount of solar energy in a given area is greater at the equator than in an equal area at the poles, which is why the equator temperature is warmer than the polar temperatures. Therefore it is B
The width of the rectangle is 75% of its length. (24 in.)
a. What is the area of the rectangle?
b. The length of the rectangle is doubled. What percent of the length is the width now?
Explain your reasoning. ( helpp)
Answers
Answer:
Step-by-step explanation:
Which group of numbers is listed from least to greatest?
|-4|, 5, |-6|, 7, |-8|
|-8|, |-6|, -1, 5, 8
-6, |-7|, |-8|, 0, 2
9, 7, 5, |-4|, |-3|
Answers
With |-4| being the absolute would make it 4
With -41 being the absolute would make it 4
I really need the the answer to these 2 questions pleaseeeee
Answers
Answer:
48
Step-by-step explanation:
29+12=41
89-41=48
Hope this helped I tried simplifying this answer
How do you write 8.88 × 101 in standard form?
Answers
8.88
x101
It will look like this:
888
x101
Write the decimal as a fraction.
Please help ASAP!!♡
Answers
Answer:
8.33 repeating=25/3
Step-by-step explanation:
8 1/3
8.3333 with 3 repeating
Combing Like Terms 67 pnts
Answers
Answer:
keep trying, practice makes perfect. or search it up, i answered the wrong question at first so im changing it.
Step-by-step explanation:
Answer: 3rd one
the 4th one doesn’t have anything to multiply it with
(Proportional Relationships MC)
The table shows a proportional relationship.
Workout (hours) 1 2 3
Calories Burned 240 480 720
Create a description in words for the table.
A The number of calories burned is dependent on the number of hours working out. For a one-hour workout, there are 240 calories burned, and for a two-hour workout, there are 480 calories burned.
B The number of calories burned is dependent on the number of hours working out. For every 240-hour workout, there is 1 calorie burned, and for every 480-hour workout, there are 2 calories burned.
C The number of hours working out is dependent on the number of calories burned. For a one-hour workout, there are 240 calories burned, and for a two-hour workout, there are 480 calories burned.
D The number of hours working out is dependent on the number of calories burned. For every 240-hour workout, there is 1 calorie burned, and for every 480-hour workout, there are 2 calories burned.
Answers
the constant is 240. for every hour, the person burns 240 calories.
hope this helped :-)
HELPPPPPP!! I DONT UNDERSTAND MATHHHHH
Solve the equation.
-2(x+5)=10
Answers
Answer: x = −10
Step-by-step explanation:
Answer:
X=-10
Step-by-step explanation:
The parentheses means you have to multiply. Division is the inverse operation of multiplication. You could do the problem backwards, starting with 10/-2 which is -5
Then you can divide -5 by 2 which is -10
What is the distance, in units, between the two points?
Answers
Answer: 8units by 5units
Step-by-step explanation: I started with the length counted from the point (-3,4) counting the number of squares that go to point (3,-4) giving me 8squares/units
then the width I used the same method getting 5squares/units
Answer: 10 units
The points are (-3,4) and (3,-4)
We can use the distance formula for this, which is
d=√((x2-x1)²+(y2-y1)²)
So we can assign
X1 as -3
Y1 as 4
X2 as 3
Y2 as -4
Substitute these in the formula
d=√(3-(-3))²+((-4)-4)²
d=√(6)²+(-8)²
d=√(36+64)
d=√100
d= 10
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
Please help! Thank you!
Answers
Answer:
525
Step-by-step explanation:
If it's just asking to find the average of heads then times it by 20 then just do 32+28+21+24 to get 105 and divide it by 4 to get 26.25 then times it by 20 since this is the average of 50 throws and it's asking for the average of 1,000 throws which is 525
can someone answer these for me please
Answers
Which faces of a rectangular prism always have the same area?
Answers
Answer:
A rectangular prism has six faces, commonly referred to as the base, top and four sides. The base and top always have the same area as do pairs of opposite sides
Step-by-step explanation:
Answer:
the base and the top, along with the opposite sides
Step-by-step explanation:
A rectangular prism has six faces, commonly referred to as the base, top, and four sides. The base and top always have the same area as do pairs of opposite sides.
Pleaseeee I need help fast
59 points no kidding
Just answer questions 5 and 6
Answers
Reason: it’s not moving at a constant rate/ not a straight line through the orgin
6. Type: exponential
Reason: exponential equations are written with x as an exponent while linear equations are written with an x after a number (variable)
99.9% sure it’s right…
Type: Non-linear
Reason: Not a line, or in a parabolic shape
Name the function: Quadratic
Question #6:
Type: Non-linear
Reason: X is the exponent
Name the function: Exponential
Triangles are congruent if their corresponding sides are?
Answers
Answer:
Triangles are congruent if their corresponding sides are congruent using SSS postulate.
Answer:
Step-by-step explanation:
Triangles are congruent if their corresponding sides are equal. If this is the case, each side of one triangle is matched perfectly by the corresponding side of the other triangle.
Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
AND PLEASE ACTUALLY EXPLAIN/DESCRIBE!
Answers
In a box plot, also known as a box-and-whisker plot, the data is dispersed and represented visually to provide a summary of the distribution and key characteristics of the dataset. Let's describe how the data is dispersed in the box plot for the given data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
1. Median (Q2): The median represents the middle value of the dataset when arranged in ascending order. In this case, the median is around 27 or 28, as it lies between the values 27 and 30.2. Lower Quartile (Q1): The lower quartile marks the boundary between the lower 25% of the data and the upper 75%. It is located approximately around 22 or 23, as it falls between the values 21 and 24.3. Upper Quartile (Q3): The upper quartile marks the boundary between the lower 75% of the data and the upper 25%. It is located around 34 or 35, as it lies between the values 33 and 36.4. Interquartile Range (IQR): The IQR is the range between the upper and lower quartiles (Q3 - Q1). In this case, the IQR is approximately 12 (35 - 23).5. Whiskers: The whiskers represent the range of the data excluding any outliers. They extend from the lower quartile (Q1) to the minimum value and from the upper quartile (Q3) to the maximum value. However, in some cases, the whiskers can also be defined based on certain criteria, such as 1.5 times the IQR. Outliers, if present, are depicted as individual data points beyond the whiskers.6. Outliers: Outliers are data points that significantly deviate from the rest of the dataset. In this case, there are no clear outliers based on the data provided.7. Box: The box in the box plot spans from the lower quartile (Q1) to the upper quartile (Q3) and represents the middle 50% of the data. In this case, the box spans approximately from 23 to 35.By observing the box plot, we can see that the data is moderately dispersed, with the majority of values concentrated around the median. The range of the data is approximately 20 to 38, with some variability within the dataset.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Minimum value: 18
First quartile (Q1): 22
Median: 29
Third quartile (Q3): 36
Maximum value: 38
The box plot is created using these values. A box is drawn from Q1 to Q3 with a line inside the box at the median. Whiskers are drawn from the box to the minimum and maximum values. Any data points beyond the whiskers are plotted as individual points.
In this box plot, the data is dispersed fairly evenly, with no outliers beyond the whiskers. The box is centered around the median, indicating that the data is roughly symmetric. The lower half of the data is slightly more spread out than the upper half, as indicated by the longer whisker on the left side of the box. Overall, the box plot shows that the data is relatively consistent, with no extreme values.
A carnival has a duck-pond booth. You choose a rubber duck at random. The mark on the bottom of the duck tells you whether you won a small, medium, or large prize, or no prize at all. There are 73 ducks floating in the pond. There are 5 ducks marked as large-prize winners, 11 ducks marked as medium-prize winners, and 24 ducks marked as small-prize winners. Find the theoretical probability of winning a medium prize at the duck pond. Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
Answers
Let's break down this problem step by step.
First, let's understand what's happening here. There's a carnival game where you can pick one duck from a pond. Each duck has a mark under it that might make you a winner of a prize. Some ducks are marked with large prizes, some with medium, some with small, and the rest don't win you any prize.
The total number of ducks in the pond is 73.
Out of these 73 ducks:
- 5 are marked for a large prize,
- 11 are marked for a medium prize,
- 24 are marked for a small prize.
We are asked to find the theoretical probability of picking a duck that has a medium prize mark. The theoretical probability is basically a fraction that compares the number of ways something can happen with the total number of outcomes.
Here, the number of ways you can win a medium prize is equal to the number of ducks that have a medium prize mark, which is 11.
The total number of outcomes is just the total number of ducks you can choose from, which is 73.
The probability (P) of winning a medium prize is then:
P(medium prize) = (Number of medium-prize ducks) / (Total number of ducks)
= 11/73
To convert this fraction to a decimal, simply divide 11 by 73:
= 11 ÷ 73
≈ 0.1507 (rounded to the nearest thousandth)
So, the probability of winning a medium prize at the duck pond is about 0.151 or 15.1%. Imagine, for every 100 ducks you pick (if there were that many), about 15 of them would win you a medium prize.
The theoretical probability of winning a medium prize at the duck pond is ≈ 0.150
To find the theoretical probability of winning a medium prize at the duck pond, we need to determine the ratio of the number of medium-prize-winning ducks to the total number of ducks in the pond.
The total number of ducks in the pond is given as 73.
The number of medium-prize-winning ducks is given as 11.
Therefore, the probability can be calculated as follows:
Probability of winning a medium prize = (Number of medium-prize-winning ducks) / (Total number of ducks)
Probability of winning a medium prize = 11 / 73
To express the answer as a decimal, we divide 11 by 73:
Probability of winning a medium prize ≈ 0.150
Rounded to the nearest thousandth, the theoretical probability of winning a medium prize at the duck pond is approximately 0.150
To better understand how to find theoretical probability of winning medium prize at the duck pond:
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24, 12,6,...
Find the 8th term.
Answers
Answer:
Divide 24 24 by 8 8 . a4= ...
Step-by-step explanation:
Pls help me in math, I need this tomorrow, thx :)
Answers
Answer: Range and mean = 8 of both
variance of Set X= 4.7
variance of Set Y= 4.6
Step-by-step explanation:
Two sets of data, set X and set Y are given
a.) Range is the difference of the highest value and the lowest value,
Therefore, Range of set X = 12-4=8
Range of set Y = 12-4=8
Now, Mean of a given data set is the average of all the terms present in the given data set
Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8
Mean of set Y= (4+5+7+32+20+12)/10= 8
Therefore, both the data sets has same range and mean.
b.) Standard deviation tells about the variability of the date and is given by,
S.D= σ = √∑ ( X − μ )^2/n
S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7
S.D of set Y= √(16+9+1+0+4+16)/10= √4.6
Variance is the square of S.D, that is, σ^2
Therefore, variance of set X=4.6
variance of set Y= 4.7
c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.
To learn more about S.D and variance,
https://brainly.com/question/15858152
https://brainly.com/question/12402189
Answer: Range and mean = 8 of both
variance of Set X= 4.7
variance of Set Y= 4.6
Step-by-step explanation:
We know
a.) Range is the difference of the highest value and the lowest value,
Therefore, Range of set X = 12-4=8
Range of set Y = 12-4=8
Now, Mean of a given data set is the average of all the terms present in the given data set
Mean of set X= Σxif/n = (4+5+6+7+16+18+24)/10 = 8
Mean of set Y= (4+5+7+32+20+12)/10= 8
also
b.) Standard deviation tells about the variability of the date and is given by,
S.D= σ = √∑ ( X − μ )^2/n
S.D of set X= √(16+9+4+1+0+1+16)/10= √4.7
S.D of set Y= √(16+9+1+0+4+16)/10= √4.6
Variance is the square of S.D, that is, σ^2
Therefore, variance of set X=4.6
variance of set Y= 4.7
c.) The calculated variances of set X and set Y are 4.7 and 4.6 respectively. It implies that the data is more distributed or varied in set X than in set Y. In the other words, data in set Y is more consistent data than of set X.
solve for z
10z − 7z = 3
Answers
10z − 7z = 3
The answer is Z = 1
Answer:
z = 1
Step-by-step explanation:
10z - 7z = 3
collect like terms (10z and 7z)
10z-7z=3z
3z =3
divide for both sides
z = 1
whoever answers correctly gets brainliest
Answers
Answer:
First Answer: 144ft2
Second Answer: 536.40in2
Step-by-step explanation:
There are two spinners containing only blue and green slices.
Spinner A has 4 green slices and 16 blue slices.
All the slices are the same size.
Spinner B has 9 green slices and 3 blue slices.
All the slices are the same size.
Each spinner is spun.
List these events from least likely to most likely.
Event 1: Spinner B lands on a blue slice.
Event 2: Spinner B lands on a green or blue slice.
Event 3: Spinner A lands on a yellow slice.
Event 4: Spinner A lands on a green slice.
Answers
Answer:
Step-by-step explanation:
explanation
event 2 has to happen because there are no other colors.
event 1 will likely come next because there are more blue slices than green slices.
event 4 will come best because it is less likely for it to land on a green slice than a blue slice
event 3 can never happen because there are no yellow slices
someone answer alll of theese i will give brainliest
Answers
Answer:
1.) 4; 5 / 12
2.) 39; 7 / 12
3.) 6; 17 / 20
4.) 2; 2 / 5
5.) 9; 43 / 56
6.) 2; 57 / 110
7.) 32; 41/63
8.) 7
9.) 143; 128 / 199
Step-by-step explanation:
When adding and subtracting fractions you want to find the LCD (Least common denominator)
1.) 5; 2/3 - 1; 1/4
3 6 9 12*
4 8 12*
The least common denominator is 12. now multiply the denominators and multiply their numerators by the same number.
(Numerator) 2 * 4 = 8 & 1 * 3 = 3
(Denominator) 3 * 4 = 12 & 4 * 3 = 12
5; 8 / 12 - 1; 3 / 12
Subtract the whole numbers
5 - 1 = 4
subtract only the numerators (dont subtract or add denominators)
8 - 3 = 5
4; 5 / 12
Answer:
SufferingLife is correct.
Step-by-step explanation:
The temperature in the ice rink must stay below 50° F. This morning the temperature was 68°F. The ice rink runs a cooling device, that can decrease the temperature by 4.5°every hour. How many hours will it take for the temperature to fall below 50°? *
h ＜ 4
h ≤ 4
h ＞ 4
h ≥ 4
Answers
Explanation: 68- 18=50
18/4=4.5. It is asking for below 50, and it had to cool for over 4 hours, which is >. I hope this helps. Please give me Brainliest.
Try answering this question
Answers
The 500 increase from March to April: 4387+500= 4887
Formula of change: amount of change/ original amount *100.
500/4837*100= 11,397%
Answer: The percentage change is 16%.
Step-by-step explanation:
February:
4,100 water bottles.
March:
(4,100 + 7/100 x 4,100) water bottles
(4,100 + 287) water bottles.
4,387 water bottles.
April:
(500 + 4,387) water bottles.
4,887 water bottles.
= (4,887 - 4,100) / 4,887 x 100
= 787/4,887 x 100
= 16%
The percentage change is 16%.
help!
Use diagrams or the description of equivalent ratios to show that the ratios 2:3, 4:6, and 8:12 are equivalent ratios.
Answers
They are equivalent because 2:3, 2 × 2 = 4, 3 × 2 = 6 which makes up 4:6, 2 × 4 = 8, 2 × 6 = 12 which makes it 8:12. which makes it 2.
Yes, All the ratio 2 : 3, 4 : 6 and 8 : 12 are equal.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
All the ratios are,
⇒ 2 : 3, 4 : 6 and 8 : 12
Now,
Since, All the ratios are,
⇒ 2 : 3, 4 : 6 and 8 : 12
Hence, Simplify the ratio as;
⇒ 2 : 3 = 2/3
⇒ 4 : 6 = 4 / 6
= 2 / 3
= 2 : 3
⇒ 8 : 12 = 8 / 12
= 4 / 6
= 2 / 3
= 2 : 3
Thus, All the ratio are equal.
Learn more about the ratio visit:
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#SPJ2
please answer quickly
Answers
Answer:
37.5
Step-by-step explanation:
cosФ = \(\frac{A}{H}\)
cos(33°35') = \(\frac{m}{45}\)
m = 45 × cos(33°35')
m = 37.5 (1d.p.)
I need help with this last one
Answers
Answer:
x = 7.5, y = 8.5-----------------------------------
The two angles with the variable x form a linear pair and therefore:
16x - 18 + 10x + 3 = 18026x - 15 = 18026x = 195x = 195/26x = 7.5Angles 16x - 18 and 12y are congruent as vertical angles:
16*7.5 - 18 = 12y102 = 12yy = 102/12y = 8.5Answer:
x = 7.5
y = 8.5
Step-by-step explanation:
Linear Pair
Two adjacent angles that sum to 180° (two angles which when combined together form a straight line).
To find x, equate the sum of the two angles with the variable x to 180° and solve:
⇒ (16x - 18)° + (10x + 3)° = 180°
⇒ 16x - 18 + 10x + 3 = 180
⇒ 26x - 15 = 180
⇒ 26x = 195
⇒ x = 7.5
Vertical Angles Theorem
When two straight lines intersect, the opposite vertical angles are congruent.
Therefore:
⇒ (16x - 18)° = 12y°
Substitute the found value of x into the equation and solve for y:
⇒ 16x - 18 = 12y
⇒ 16(7.5) - 18 = 12y
⇒ 120 - 18 = 12y
⇒ 102 = 12y
⇒ y = 8.5