In how many ways can the first 4 guest arrive at a party if 15 guest have been invited
Answers
Answer:
The first 4 guests can arrive at party in 1365 ways if 15 guest have been invited
Step-by-step explanation:
Total number of guests invited = 15
We are supposed to find in how many ways can the first 4 guest arrive at a party if 15 guest have been invited
We will use combination
Formula :\(^nC_r=\frac{n!}{r!(n-r)!}\)
Substitute n = 15 and r = 4
So,Total no. of ways = \(\frac{15!}{4!(15-4)!}=1365\)
Hence the first 4 guests can arrive at party in 1365 ways if 15 guest have been invited
Answer:
32,760Step-by-step explanation:
The first 4 guests can arrive in 32,760 ways.
Related Questions
There are 22 students in the class. Make two groups such that the first group has 8 students less than the second one.
Answer should look like:
The numbers of students in groups are ___ and ___ .
Answers
Answer: The number of students in groups are 7 and 15
Step-by-step explanation:
7+15=22
15-7=8
Students in Mrs. Evan’s class measured the heights of
the bean plants they were growing. The following is the
data set for the bean plant heights, in inches.
Create a line plot for this data by placing an x above the measurement
for each time that measurement is found in the data. (Try to make all
of your x’s the same size and keep them in line with each other.)
Answers
Answer:
X
X X X
X X X X X
X X X X X X
___|___|___|___|___|___|___
1/8 1/4 3/8 1/2 5/8 3/4
Step-by-step explanation:
First, we must organize the order of the numbers from least to greatest. This will keep the data organized, (and maybe get you extra points). So, let's convert all the fractions so that they will have a denominator of 8.
1/4 = 2/8, 1/2 = 4/8, 3/4 = 6/8.
Now in order we get: 1/8, 1/4, 3/8, 1/2, 5/8, 3/4.
Second, count the number of each fraction that occurs in the data set. Now, put them next to the fractions.
1/8 has 2, 1/4 has 3, 3/8 has 4, 1/2 has 3, 5/8 has 1, 3/4 has 2.
Third, let's put together all the data in to the line plot. First, draw a horizontal line. Then, put dashes intersecting the horizontal line, 6 of them. Beneath the dashes, write the fractions from least to greatest. Above the dashes, draw the number of X's to represent the number of occurrences on each fraction.
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:
What do squares and rhombuses have in common?
Check all that are true.
Both shapes are quadrilaterals.
Both shapes have all sides of equal lengths.
Both shapes have equal opposite angles.
Both shapes have four right angles.
Both shapes have parallel opposite sides. plz help me i give you branlyest
Answers
Answer:
Everything except the third one.
Step-by-step explanation:
A quadrilateral has 4 sides and 4 angles which both shapes do. The next 2 and the last one are correct because squares are classified with the rules. All sides are equal, all angles are the same size and have all parallel sides. Rhombuses are called rhombuses because they have all sides measuring same length, opposite angles are equal, have 4 angles, and opposite sides are parallel.
The correct statements are :
1) Both shapes are quadrilaterals.
2) Both shapes have all sides of equal lengths.
3) Both shapes have four right angles.
4) Both shapes have parallel opposite sides
Given,
Square and rhombus.
Here,
A quadrilateral has 4 sides and 4 angles which both shapes do.
All sides are equal, all angles are the same size and have all parallel sides.
Rhombuses are called rhombuses because they have all sides measuring same length, opposite angles are equal, have 4 angles, and opposite sides are parallel.
Know more about rhombus,
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If you know this you are an honor roll kid
Your fingernails grow at an average rate of 2.25 inches per year. If they grow at an average rate, you never cut them, and they did not break, how much would your fingernails grow in 4.5 years?
BRAINLIEST*
GIVE ME BRANILST PLZ!
Answers
10.12 inches long.
It’s basic math alright?
How many different triangles can be made with the angles 45 degree, 45 degree, 90degree ?
a two triangles
b infinitely many triangles
c one triangle
d zero triangles
Answers
Answer:
C: one triangle
Step-by-step explanation:
well a triangle = 180°
45+45=90
90+90=180
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
can anyone help answer this question?
it's shown on the picture below. :)
Answers
Answer:
The correct graph is A.
Step-by-step explanation:
-4x/5-13/5 ≥ -9
Multiply the entire equation by 5:
-4x-13 ≥ -45
Moving the -4x:
-13 ≥ -45+4x
Moving the -45:
32 ≥ 4x or 4x ≤ 32
So:
x ≤ 8
The correct graph is A.
The answer would be graph A that describes the solution set.
Help my cousin please
Answers
Answer:can't read it
Step-by-step explanation:
so ummm
..
I need help and this is due at 11:59 please
Answers
Answer: The y-intercept (b) is 10.
Step-by-step explanation:
Use the slope and the point to help you. Plot the point (-3,4) on graphing paper or use geometry software. I use geometry software, it's easier.
You'll need to understand that the slope 2 can also be written as 2/1 (rise/run). Go up 2 units and go to the right 1 unit, then plot a point. Keep going until one of the points lies on the y-axis. The y-coordinate of that point is the y-intercept. So, the y-intercept (aka "b") is 10.
You're welcome, and I have a nice day! :D
Answer:
10.
Step-by-step explanation:
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
Correct answer gets brainliest
Answers
Answer:
An echo
Step-by-step explanation:
(I'm 95% sure!! :) )
English is the predominant language spoken in Chile. Question 1 options: True False
whoever answers first gets the crown
Answers
Answer: The answer is false!
Step-by-step explanation: You may think its true but NO, its not true!
Answer: false
Step-by-step explanation:
the correct answer is a dialect of spanish, chilean spanish.
help me please first to answer will get brainiest
Answers
Answer:
Step-by-step explanation:
the study guide helps best
Quadrilateral PRST is transformed according to the rule (x, y) → (x + 9, y +4) to create quadrilateral P'R'S'T'.
Which statement is true?
The side lengths of quadrilateral P'R'S'T' are twice the corresponding side lengths of quadrilateral PRST.
The angle measures of quadrilateral P'R'S'T' are equal to the corresponding angle measures of quadrilateral PRST.
The side lengths of quadrilateral P'R'S'T' are 9 units longer than the corresponding side lengths of quadrilateral PRST.
The angle measures of quadrilateral P'R'S'T' are greater than the corresponding angle measures of quadrilateral PRST.
Answers
Answer:
C. The angle measures of quadrilateral P’R′S’T′ are equal to the corresponding angle measures of quadrilateral PRST.
Step-by-step explanation:
i took the quiz
PLEASE ONLY ANSWER IF YOU KNOW IT!! DO NOT ANSWER FOR POINTS OR I WILL REPORT YOU!!!
Answers
h=height
a=area
b=base
h=a/b we have base 15cm and height 8cm
8cm=a/15cm
8cm*15cm=a
120cm^2=a
we then use the area to find the height with base 10
h=a/b
h=120cm^2/10cm
h=12cm
Can someone please solve these two for me? :D
Answers
Answer: 9 is 3.
10 could just be written like this: 450p+500c.
Step-by-step explanation:
you just divide y/x to get your rate of change.
You can do rise/run to find ratio
ANSWER FAST YO
An English test has 20 questions. A student answers 75% correctly.
How many questions does the student answer correctly?
Enter your answer in the box.
_____ questions
Answers
Answer:
The student answers 15 answers correctly.
Answer:
15
Step-by-step explanation:
hope it helps
in a sequences of numbers a4= 98, a5=92.2, a6=101.6, and a8 = 102.8. Based on this information, which equation can be used to find a(n) the n^th term in the sequence?
a. a(n)= 98.0+1.2n
b. a(n)= 93.2+1.2n
c. a(n)= 94.4+1.2n
d. a(n)= 96.8+1.2n
Answers
Answer: The correct answer is A, look at the image for the explanation
Step-by-step explanation:
The equation can be used to find a(n) the nth term in the sequence is,
⇒ a (n) = 93.2 + 1.2n
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given:
a₄ = 98
a₅ = 99.2
a₆ = 100.4
a₈ = 102.8
Now, Use the arithmetic sequence formula below:
a (n) = a₁ + (n - 1) d
Where,
an = nth term
a₁ = first term
n = number of terms
d = common difference
Let's solve for the common difference.
d = a₅ - a₄ = 99.2 - 98 = 1.2
Use the 8th term a8, to find the first term:
⇒ 102.8 = a₁ + (8 - 1) 1.2
⇒ a₁ = 94.4
Therefore, the first term a₁ is, 94.4
Thus, the equation for the nth term will be:
Input 94.4 for a1, 1.2 for d in the arithmetic formula above as;
⇒ a (n) = 94.4 + (n - 1) 1.2
⇒ a (n) = 93.2 + 1.2n
Thus, The equation can be used to find a(n) the nth term in the sequence is,
⇒ a (n) = 93.2 + 1.2n
Learn more about the Arithmetic sequence visit:
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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.)
Jakie ate 2/8 of a bag of celery sticks. she shared the rest with Enrigue. list 3 ways they could have shared.
Answers
1/4 and 1/4
6/16 and 6/16
Distribute and then Combine Like Terms:
2(5x + 6) + 7
Group of answer choices
10x + 19
10x + 7
5x + 19
10x + 12
Thanks!
Answers
Answer:
10x + 19
Step-by-step explanation:
The expression 2(5x + 6) can be simplified to 10x + 12, and when that is combined with 7, the result is 10x + 19.
Answer: First, distribute the 2 to the parentheses:
2 * 5x + 2 * 6 + 7 = 10x + 12 + 7
Next, combine like terms:
10x + 12 + 7 = 10x + 19
So the result is 10x + 19.
Step-by-step explanation:
The dot plots below show the runs scored in each of the first games of the season by the Hawks and the Eagles. Runs Scored (Ha Runs Scored Part A What is the mean number of runs for the Hawks? Answer _ Part B Add two points to the dot plot for the Hawks that show possible runs scored in the next two games if the mean number of runs decreases and the range increases. Part CAdd two points to the dot plot for the Eagles that show possible runs scored in the next two games if the mean number of runs stays the same.
Answers
Answer:
Part B: 8 and 2 (more answers ofc)
Part C: Two more dots on 6 (more than one answer tho)
Step-by-step explanation:
Part B:
The added number of dots is 39 at the beginning and the mean is 3.9. (39/10). Since we have to add 2 dots the equation will be (39 + ? + ?) / 12 = Less than 3.9. We also need the range to increase. This means that one of the blanks must be larger than 7 (the largest dot on the dot plot!) I just went with 8 to keep the mean as small as possible. This leaves 1 more blank to figure out. There are multiple answers to this problem but I went with 2 just because then the mean would be 3.5 a better answer than something like 3.58333333333.
Part C:
If you think about it all the dots added up should be 6x12 = 72. Currently all the dots add up to 60. 72-60 is 12. This means that 12 is equal to 2 dots. I guess you could also do 5 and 7, 8 and 4, etc.
G'day
-birb
What is 189 Squared to the 5th power?
Answers
Answer:
wait so like this
\( {189}^{5} \) then the awnser is 241,162,079,949
(189^2)^5
but if it is this
5.81591488E+22
Answer:
5.8159149e+22
should be the answer
see first you would do 189 x 189 or 189² you would get an answer of 35721
35721^5 which equals 5.8159149e+22
Help me please! Bookwork code:k90
Answers
Answer:
Step-by-step explanation:
Let’s mark the Triangle Points as Point A, Point B, Point C.
Point A = 1x°
Point B = 2x°
Point C = 3x°
We know that the Angle Sum of a Triangle is equal to 180°.
So, Point A + Point B +Point C = 180°
= 1x° + 2x° + 3x° = 180°
= (1 + 2 + 3)x° = 180°
= 6x° = 180°
= x° = (180/6)°
= x° = 30°
| — — |
| Point A = 1 * 30° = 30° | ⇒
| Point B = 2 * 30° = 60° | ⇒ Only Extra Information
| Point C = 3 * 30° = 90° | ⇒
| — — |
Learn more about Finding Angles here
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Hope my answer helps you ✌️
Mark BRAINLIEST
Point A- 1x
Point B- 2x
Point C- 3x
We know that Angle sum property of a triangle states that the sum of angles of a triangle is 180•
So 1x+ 2x+ 3x = 180
Take X out as common
(1+2+3)x = 180
6x= 180
x=180/6
x= 30•
Which is your answer
Pls mark as brainliest
Pls, help! A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 3. Find the probability of not rolling a number less than 3.
1/3; 2/3
1/2; 1/2
5/6; 1/2
1/6; 5/6
Brainlist for positive attitude and correct answer :D
Answers
Answer: The correct answer is:
Probability of rolling a number less than 3: 2/6 or 1/3
Step-by-step explanation:
Explanation: Out of the six possible outcomes (numbers 1, 2, 3, 4, 5, 6), there are two outcomes that meet the condition of rolling a number less than 3, which are 1 and 2. Therefore, the probability of rolling a number less than 3 is 2 out of 6, which simplifies to 1/3.
Probability of not rolling a number less than 3: 4/6 or 2/3.
Explanation: To find the probability of not rolling a number less than 3, we consider the outcomes that are not favorable (i.e., rolling a 3, 4, 5, or 6). There are four such outcomes, so the probability of not rolling a number less than 3 is 4 out of 6, which simplifies to 2/3. :D
Select the statement that correctly describes the relationship between these two sequences: 1, 2, 3, 4, 5 and 10, 20, 30, 40, 50.
a
Each term in the second sequence is 10 times the corresponding term in the first sequence.
b
Each term in the second sequence is double the corresponding term in the first sequence.
c
Each term in the second sequence is 20 times the corresponding term in the first sequence.
d
Each term in the first sequence is double the corresponding term in the second sequence.
Answers
Answer:
a
Step-by-step explanation:
help me pleaseeeeeeeeeeeeeee?
Answers
Answer:
SS, GG, SG, GS, 0.125, 0.25, 0.375, 0.50, 0.625, 0.75
Step-by-step explanation:
Answer:
The outcome represents which ones came out of the bag, it would be SG if he picked the silver marble and then the gold marble. The probability shows what the chances are so it should be a 50/50 chance.
Step-by-step explanation:
Jasmine bought a game system that cost $299 before tax. The sales tax was 0.07 times the price. What was the total cost of the game system including the sales tax?
Answers
Answer:
$319.93
Step-by-step explanation:
We can find the total cost of the game system by multiplying the price before tax by 1.07.
299(1.07) = 319.93
= $319.93
PLS HELP!!
2. At a fair, each person can spin two wheels of chance. The first wheel has the numbers 1, 2, and 3. The second wheel has the letters A and B. (d) List all the possible outcomes of the compound event. (e) If you spin both wheels, what is the probability that you get either a 1 or an A? Explain.
Answers
I don’t get it, what am I supposed to be multiplying!?!
Answers
Answer: 5400
Step-by-step explanation: image attached
Answer:
5400
Step-by-step explanation:
we need to calculate the area of big box (prism).
volume = 4 1/2 X 5 X 3 3/4
= 84.375 in³.
volume of small cube = 1/4 X 1/4 X 1/4
= 0.015625 in³.
now we need to find how many of the small ones go into the big one.
84.375/0.015625
= 5400.