Answer:
28
Step-by-step explanation:
If a ribbon connects two skydivers, and there are 8 skydivers total, then we can do 8C2, which is equal to (8*7)/2, which is equal to 28. An alternate solution is to think of it this way. Skydiver 1 is connected to everyone else, which is 7 other people. Skydiver 2 is connected to everyone else but Skydiver 1, which is 6 other people. This goes on until Skydiver 8 is already connected with everyone. So we have 7+6+5+4+3+2+1+0, which is also equal to 28.
The total number of pieces of ribbons that were used in the skydiving act is 28 ribbons
What are Combinations?
The number of ways of selecting r objects from n unlike objects is:
The equation for combination is
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
The total number of skydivers in the plane n = 8 skydivers
Each skydiver was connected to each of the other skydivers with a separate pieces of ribbon
So , the number of choosing skydivers x = 2
Now , the total number of ribbons used is calculated by combination
So , the equation is
ⁿCₓ = n! / ( ( n - x )! x! )
Substitute the value of n and x in the equation , we get
⁸C₂ = 8! / ( ( 8 - 2 )! x 2! )
= 8! / ( 6! x 2! )
= 8 x 7 / 2 x 1
= 56 / 2
= 28 ribbons
Hence , The total number of pieces of ribbons that were used in the skydiving act is 28 ribbons
To learn more about combinations click :
https://brainly.com/question/28065038
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Identify a pattern in this list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.) 3, 5, 9, 15, 23, 33, _____
Answer:
a) 45
The sequence 3 , 5, 9 , 15 , 23 , 33 , 45
Step-by-step explanation:
Given The sequence 3 , 5, 9 , 15 , 23 , 33
First term = 3
Add 2 of first term
Second term = 3 +2 = 5
Add 4 of second term
Third term = 5 + 4 = 9
Add 6 of Third term
Fourth term = 9 + 6 = 15
Add 8 of fourth term
fifth term = 15 + 8 = 23
Add 10 of fifth term
sixth term = 23 + 10 = 33
Add 12 of sixth term
seventh term = 33 +12 = 45
Final answer:-
Now the sequence 3, 5, 9, 15, 23, 33, __45___
A shelf has four blue shirts, two green shirts, two gray shirts, one white shirt and one red shirt. You randomly choose one shirt from the shelves. Find the probability of choosing a red shirt. Give your answer as a percent (ex. 32%)
Answer:
20 %
Step-by-step explanation:
four blue shirts, two green shirts, two gray shirts, one white shirt and one red shirt = 10 shirts
P(red) = number of red shirts / total
= 2/10
= 1/5
=20 %
Answer:
10%
Step-by-step explanation:
4 blue
2 green
2 gray
1 white
1 red
4 + 2 + 2 + 1 + 1 = 10
each t-shirt = 10 percent
so 1 red t-shirt = 10%
can you please solve this!
Answer:
x = 8
Step-by-step explanation:
How do you convert a fraction to a decimal 1/6
Answer:
0.166666667
Step-by-step explanation:
to convert a fraction to a decimal, you divide the numerator (1) by the denominator (6)
hhhhhhhhhhheeeeeellllllllpppppp
Answer:
9(3+4)
Step-by-step explanation:
27+36
Factor out 9
9*3 + 9*4
9(3+4)
Answer:
9(3+4)
Step-by-step explanation:
First, list all the factors of the two numbers. Factors are numbers that evenly divide into a number.
Factors of 27: 1, 3, 9, 27
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Now, find the GCF. The GCF is the largest factor both numbers share. In this case, the GCF is 9.
Now, find the equivalent expression.
27+36
Distribute out a 9. Divide both numbers inside the parentheses by 9.
9(27/9+36/9)
9(3+4)
Help!!!
Point A(-5,8) is reflected across the line y = x. What are the coordinates of A’?
Show your work an explain!
Answer:
(8, -5)
Step-by-step explanation:
When you reflect across the line y = x, you switch the two numbers in the coordinate. The point (a, b) turns into (b, a).
A trader purchased 1,000 books at the rate of $5.40 per book and spent $200 towards transportation. If he wants to earn a profit of 12.5%, at what price should he sell each book?
( with explanation )
Answer:
$6.3
Step-by-step explanation:
Cost of one book = $5.40
cost of 1000 books = 1000* Cost of one book = $5.40*1000 = $5400
Transportation cost for all the books = $200
Thus, total cost for all the books = cost of 1000 books + Transportation cost for all the books = $5400 + $200 = $5600.
Given , trader wants to earn a profit of 12.5%
thus, we find 12.5 % of total cost incurred by trader
12.5 % of total cost incurred by trader = 12.5/100 * $5600. = $700
Thus, total profit for 1000 books will be $700
we know that
selling price = cost price + profit
therefore, in the given problem
selling price for 1000 books = total cost for 1000 books + total profit
substituting the value as calculated above
selling price for 1000 books = $5600 + $700 = $6300
To find selling price for one book, lets divide LHS and RHS by 1000
selling price for 1000/100 books = $6300/1000 = $6.3
Thus, trader should sell each book at $6.3 to earn a profit of 12.5%.
Estelle bought 7.2 pounds of oatmeal and gave 6.1 pounds of it to a neighbor. How much
oatmeal does Estelle have left?
pounds
Answer:
1.1
Step-by-step explanation:
7.2-6.1
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Answer:
B
Step-by-step explanation:
The farmer plants 195 rows of beets and has 25 beet plants left over
Answer:
The farmer plants 195 rows of beets and has 25 beet plants left over. The R next to 195 means " remainder" so had acquired an answer which was 195 with a remainder of 25. In conclusion, The farmer plants 195 rows of beets and has 25 beet plants left over.
Step-by-step explanation:
What is the equation of the function that is graphed as line a ? y = - x + 1 y = 3 x - 1 y = 3 x + 1 y = 1/3x - 1
Answer:
The answer is option 2.
Step-by-step explanation:
Given that the equation of a straight line is y = mx + c where m represents gradient and c is the y-intercept which touches the y-axis.
By looking at the graph, we know that it is a positive gradient and it touches -1 at y-axis.
Answer:
y = x - 1is this for calvert homeshcool?
Given:
AB || DE
C is the midpoint of BD
Prove:
C is the midpoint of AE
Answer:
Step-by-step explanation:
Given: AB║DE and C is the midpoint of BD.
To prove: C is the midpoint of A
Statements Reasons
1). AB║DE 1). Given
2). BC ≅ CD 2). Point C is the midpoint of BD
3). m∠B ≅ m∠D 3). Interior alternate angles
4). m∠ACB ≅ m∠DCE 4). Vertical angles
5). ΔABC ≅ ΔDEC 5). ASA property of congruence
6). AC ≅ EC 6). ΔABC ≅ ΔDEC
7). AC = [tex]\frac{1}{2}(\text{AE})[/tex] 7). AC ≅ EC
The diagram below shows a balanced hanger.
Which of the changes would keep the hanger in balance? Select all that apply.
a. Adding two circles on the left and a square on the right
b. Adding 2 triangles to each side
c. Adding two circles on the right and a square on the left
d. Adding a circle on the left and a square on the right
e. Adding a triangle on the left and a square on the right
Answer:
a. b. c.
Step-by-step explanation:
As per picture one square= 2 circles
To keep balance same amount to be added to both sides
a. Adding two circles on the left and a square on the right
yesb. Adding 2 triangles to each side
yesc. Adding two circles on the right and a square on the left
yesd. Adding a circle on the left and a square on the right
noe. Adding a triangle on the left and a square on the right
noThe diameter of a cylinder is 10 feet. The height of the cylinder is 15 feet. What is the approximate volume of the cylinder rounded to the nearest cubic foot? Use 3.14 for π.
Answer:
1,178 cubic feet
Step-by-step explanation:
volume of cylinder is given by following formula
volume = [tex]\pi r^2l[/tex]
where r is the radius for cylinder and l is the height of cylinder.
____________________
given
diameter of cylinder = 10 feet
radius is half diameter
thus, radius = diameter/2 = 10/2 = 5 feet
height of the cylinder = 15 feet.
[tex]volume = \pi r^2l\\=> volume = 3.14* 5^2*15\\=> volume = 3.14* 25*15 = 1,177.5[/tex]
Thus, volume of cylinder is 1,177.5 cubic feet
volume of cylinder,rounded to the nearest cubic foot, is 1,178 cubic feet.
This is for adding and subtracting polynomials, word problems. I have real difficulty with word problems in math, so please help me!
please see the attached picture for full solution
Hope it helps..
help me solve this please! thanks
Answer:
732421875
Step-by-step explanation:
Since the given number is divisible by 3 and multiple of 5, it must end with 5 and sum of its digits divisible by 3
Only option 3 satisfies the condition described above:
732421875- ends with 5 and sum of digits= 39 divisible by 3Multiply each equation by a constant that would help to eliminate the y terms. 2x-5y=-21 3x-3y=-18 What are the resulting equations?
Answer:
6x - 15y = -63
15x -15y = -90
Step-by-step explanation:
We need to multiply the two equations by a constant that will eliminate the y terms.
The two equations are:
2x - 5y = -21
3x - 3y = -18
Let us multiply the first by 3 and the second by 6. The resulting equations will be:
6x - 15y = -63
15x -15y = -90
Note: To solve the system of equations we can simply subtract the first from the second.
What is the result of subtracting the second equation from the first?
-2x + y = 0
-73 + 3y = 2
Answer:
The result is 2x + 2y - 73 = 2.
What is the weight of a square if a triangle weighs 4 grams? Explain your reasoning
Answer:
8 grams
Step-by-step explanation:
The balance is in equilibrium, so the weights of the two sides are equal.
Let the weight of a square be s.
Left side: 2s + 4
Right side: s + 3(4) = s + 12
The weights are equal, so we set the two expressions equal.
2s + 4 = s + 12
s = 8
Answer: The weight of a square is 8 grams.
A normal distribution has a mean of μ=54 and a standard deviation of σ=6. What is the probability of randomly selecting a score less than X=51? What is the probability of selecting a Random sample of n=4scores with a mean less than m=51? What is the probability of selecting a sample of n=36scores with a mean less than m=51?
Answer:
A)The probability of randomly selecting a score less than X=51 is 0.3085
B)The probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587
C)The probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013
Step-by-step explanation:
Mean =[tex]\mu = 54[/tex]
Standard deviation =[tex]\sigma = 6[/tex]
A)What is the probability of randomly selecting a score less than X=51 i.e. P(x<51)?
Formula : [tex]Z =\frac{x-\mu}{\sigma}[/tex]
[tex]Z=\frac{51-54}{6}[/tex]
Z=-0.5
Refer the Z table for p value
So, P(x<51)=0.3085
So,the probability of randomly selecting a score less than X=51 is 0.3085
B)What is the probability of selecting a Random sample of n=4scores with a mean less than m=51?
Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z=\frac{51-54}{\frac{6}{\sqrt{4}}}[/tex]
Z=-1
Refer the Z table for p value
So, P(x<51)=0.1587
So, the probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587
C) What is the probability of selecting a sample of n=36scores with a mean less than m=51?
Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z=\frac{51-54}{\frac{6}{\sqrt{36}}}[/tex]
Z=-3
Refer the Z table for p value
So, P(x<51)=0.0013
So,the probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013
WILL GIVE BRAINIEST!! A circle has a radius of 14. Let AB be a chord of the circle, such that AB = 12. What is the distance between the chord and the center of the circle?
Step-by-step explanation:
ETA ES LA FÓRMULA:
x = [tex]\sqrt{4(14)^{2} - (12)^{2}}[/tex]/2 = 12.6
The last time Larissa checked her credit score, it was 760, and her only credit event since then has been applying for a store credit card. Which of these is most likely to be her credit score now? A. 770 B. 780 C. 750 D. 760
Answer:
750
Step-by-step explanation:
Applying for credit from any place pulls your credit report. When your credit report is pulled, your score decreases some.
However, this will not have a large effect on your score, so 750 would most likely be the new score.
Getting a store credit card affects the credit score a little bit, so the answer would likely be D.
please mark brainliest :)
Bob buys eggs and potatoes at a store.
• He pays a total of $25.92.
• He pays $2.57 for the eggs.
• He buys 5 bags of potatoes that each cost the same amount, Which equation can be used to determine the cost, x, of each bag of potatoes?
a. X = (25.92 - 2.57) = 5
b. x = 25.92 = 5 + 2.57
c. X = (25.92 +2.57) = 5
d. x = 25.92 - 5 -2.57
Answer:
a. X = (25.92 - 2.57) ÷ 5
Step-by-step explanation:
shld be a divide sign instead of a equal sign before 5
Jordan invested $8,500 in an account paying an interest rate of 4.1% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $13,070?
Answer:
11 years
Step-by-step explanation:
Answer:
Its actually 10 years
Step-by-step explanation:
Its about 10.4 but it says nearest year and 10 is closer than 11
Find an equation of the line containing the given pair of points (4,1) and (12,7)
Answer:
Y = 3/4 X -2
Step-by-step explanation:
Just apply the equation of a straight line (Y=mX+C), remembering that m represents the gradient of the line. This can be found by dividing the change in the y-axis by the change in the x-axis. Then substitute a set of coordinates with your obtained gradient into Y=mX+C to obtain C, i.e. the y-intercept.
Which graph represents a proportional relationship?
8
If Zoey sells over 50 boxes of cookies, then she will win a prize.
Which of the following is the hypothesis in the statement above?
A.
she will not win a prize
B.
Zoey sells under 50 boxes of cookies
C.
she will win a prize
D.
Zoey sells over 50 boxes of cookies
Answer: Zoey sells over 50 boxes of cookies
Step-by-step explanation: The hypothesis is the “if” part in an if-then statement.
I appreciate all of the help! I need help again so sorry :(
Answer:
46
Step-by-step explanation:
44+x=90
x=46
Answer:
46 degrees
Step-by-step explanation:
When two angles are complementary, their measures must add up to 90 degrees. Therefore:
a+b=90
44+b=90
b=90-44
b=46 degrees
Hope this helps!
someone pls help me
Answer:
x 5 2 -1 -7 -10 1 -19
y 10 4 8 6 20 24 32
Step-by-step explanation:
Hope this helps!
This is for the x section 5 2 -1 -7 -10 1 -19
This is for the y section 10 4 8 6 20 24 32
Correct me if i'm wrong
Jordan was looking for a cheap cell phone plan.
Plan A charges $10 monthly fee plus $0.25 per text
Plan B charges $6 monthly fee plus $0.35 per text
If she wants the plan for 5 months and sends 100 texts which plan would be the cheapest? Explain
Answer: Plan B
Step-by-step explanation:
First you would find out how much they have to pay the monthly fee in 5 months. Plan A pays $50 in 5 months and Plan B pays $30 in 5 months
Then you find he amount of money that they need to pay for a hundred texts. Plan A spends $25 and Plan B spends $35 .
Then you add the numbers together and Plan A you would pay $75 and Plan B you would spend $65
I'm so confused, can someone please help. thx
Answer:
26.25 in³, y = 15x
Step-by-step explanation:
2. Volume is multiplying the length, width, and height of a rectangular prism together.
Therefore, the volume of this rectangular prism is 6 * 1.25 * 3.5
= 26.25 in³
3. The equation that represents the function table will describe the relationship between x and y. As we can see, for every x value, the y value grows by 15. Therefore:
y = 15x
Hope this helps :)
