There is 1820 ways of teams of 4 can she make without repetition using combination formula.
What is combination?
Selections are another name for combinations. The choice of items from a predetermined group of items corresponds to combinations. We don't want to organise anything here. We are going to choose them. We use the notation nCr to indicate how many distinct r-selections or combinations there are among a set of n objects. A combination is distinct from an arrangement or a permutation. No matter how the objects are arranged, combinations are produced by choosing some or all of them.
Here There are 16 total swim team members and 4 swimmers that will be chosen for each relay team.
So, n=16 and r=4. Then
=> nCr = [tex]\frac{n!}{r!(n-r)!}[/tex]
=> 16C4 = [tex]\frac{16!}{4!(16-4)!}[/tex]
=> 16C4 = [tex]\frac{16!}{4!*12!}[/tex]
=> 16C4 = [tex]\frac{16*15*14*13}{4*3*2*1}[/tex]
=>16C4 = 4*5*7*13 = 1820
Hence there is 1820 ways of teams of 4 can she make without repetition.
To learn more about combination refer the below link
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Pls help if u cannnnnnnnnn
Answer:
V≈2144.66m³
Step-by-step explanation:
V=4 /3πr^3
d=2r
Solving for V
V=1/ 6πd^3=1/ 6·π·16^3≈2144.66058m³
Hope this helped!!!
Answer:
2143.57 m³
Step-by-step explanation:
Formula of volume of sphere
[tex] = \frac{4}{3} \times π \times {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3} [/tex]
[tex] = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]
[tex] = \frac{6430.72}{3} [/tex]
[tex] = 2143.573333...[/tex]
= 2143.57 m³ (rounded to the nearest hundredth)
Find the length of the third side.
I'm not sure if I did this right.
Answer:
2
Step-by-step explanation:
[tex]1^2+x^2=\sqrt{5}^2[/tex]
[tex]x^2+1=5[/tex]
[tex]x=\frac{+}{-} \sqrt{4}[/tex]
2 or -2
The product of 4 and triple the number 2
Answer:
32
Step-by-step explanation:
4 x 2 x 2 x 2 = 32
plzzzzzzzzz help me on this
Answer:
B . . . . . .. . ....... .......
Answer:
is here a choice D? If there is, it must not be true
A, B, and C are true
A) 50<100
B) 60>30
C) 14>9
A middle school has 220 students in each grade 6,7,8.The librarian wants to know which books are the most popular among the students in her school.
Answer:
?
Step-by-step explanation:
the choices, the question?
3 5/8 - 2 1/8=?
[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]
ASAP!!!!
Answer:
answer:
[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]
[tex] \frac{29}{8} - \frac{17}{8} [/tex]
[tex] \frac{29-17}{8} [/tex]
[tex] \frac{12}{8} [/tex]
[tex] \frac{3}{2} [/tex]
[tex] 1\frac{1}{2} [/tex]
is your answer.
Need help fast please, plz
Answer:
13. rational, integer, white number, natural
14. irrational
Step-by-step explanation:
the third root of 125 is 5.
so, it is everything of the list except for irrational.
pi is a prime example of an irrational number. any calculation not eliminating the irrational number is also irrational.
Kerry puts pennies into a jar every day. On the first day, she puts 2 pennies into the jar. On the second day, she adds double the number of pennies she put into the jar on the first day. On the third day, she adds double the number of pennies she put into the jar on the second day. This pattern follows for a week.
Answer:
By the end of the week she will have 254 pennies and she will put 128 pennies for the last day
Select the correct answer.
What is the range of the data represented by the box plot?
Range = 2 range = 4 range = 10 range = 12
Answer:
c.
Step-by-step explanation:
can i have brainliest
last step
merical simplification until the
1
Exercise 19c
Use the value 27 for n in this exercise.
Calculate the volume of a cylindrical steel
bar which is 8 cm long and 3.5 cm in
diameter.
2 The tank on a petrol lorry is a cylinder 2 m
in diameter and 7 m long.
a
Calculate its volume in m?.
b Find its capacity in kilolitres.
Answer:
77 cm^3
22 m^3
22 kl^3
Step-by-step explanation:
volume of a cylinder = nr^2h
n = 22/7
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
1. Radius = 3.5 / 2 = 1.75
Volume = (22/7) x (8) x 1.75^2 = 77 cm^3
2. radius = 2/2 = 1m
Volume = (22/7) x (7) x 1^2 = 22 cm^3
1 meter = 1 kilolitre
capacity = volume
capacity = 22 kl^3
The volume of the rectangular prism is 312 cm2 h 4 cm 6 cm What is the height of the prism? Height = cm
Answer:
h=13
Step-by-step explanation:
volume=w*h*l
312=(4)(6)(X)
A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actual square footage of the apartment be?
The actual area of the apartment will be 960 square feet.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
A blueprint shows an apartment with an area of 15 square inches.
If the blueprint's scale is 1 inch : 8 feet.
Then the scale factor will be 8/1 feet per inch.
Then the actual area square footage of the apartment will be
Actual area = 15 x (scale factor)²
Then the actual area of the footage will be
Actual area = 15 x (8/1)²
Actual area = 15 x 64
Actual area = 960 square feet
Thus, the actual area of the apartment will be 960 square feet.
More about the dilation link is given below.
https://brainly.com/question/2856466
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. Suppose that the average score in a statistics test is 84 with a standard deviation
of 4. According to Tchebysheff’s theorem, what percentage of the students have
a grade of at least 72 and at most 96?
Answer:
96
Step-by-step explanation:
The terminal side of an angle in standard position passes through P(15,-8). What is the value of sin e?
Find the greatest common factor of 6c^3 and 10c^4
Answer:
2c^3
Step-by-step explanation:
The greatest common divisor of 6 and 10 are 2
The factors that are common to 6c^3, 10c^4 would be 2ccc
Simplify that and you have 2c^3
Write an expression for the following. "The sum of a number and 12 times 4
Answer:
4(x + 12)
Step-by-step explanation:
The sum of a number and 12 indicates addition. Then, it says that this sum will be multiplied by 4. So, we can use x to represent this random number.
It takes Scott 3 times longer to paint a house than it takes James. If they work together, they can paint the house in 13 hours. Write equation that could be used to solve for the amount of hours it takes each of them to paint the house alone.
Answer:
I believe it is 13 - 3x
Step-by-step explanation:
Since we dont know how long it takes Scott to paint the house, we use x in its place. We are subtracting to find out how many hours it takes James. Once you get that answer divide by 3.
The equation that should be used to solve for the amount of hours should be considered to be 13-3x.
Calculation of the equation;Since
It takes Scott 3 times longer to paint a house than it takes James. And, they work together, they can paint the house in 13 hours.
So here we assume x to paint the house
So here the equation be like 13-3x.
Learn more about an equation here: https://brainly.com/question/2252530
Which statement about the linear factors and zeros of a quadratic function is always
true?
A. The constants of the linear factors are the opposite of the function's zeros.
B. A function's zeros can be determined by setting each linear factor equal to 0 and
solving.
C. If a function's zero is an integer, then the coefficient of the variable in the linear factor
must be one.
D. Multiplying the constants of the linear factors gives one of the function's zeros, and
adding the constants gives the other zero.
Help me out!!!! ASAP!!!!
Answer:
226 feet
Step-by-step explanation:
264^2 + 900^2= c^2
879696= c^2
938= c
900+ 264= 1164
1164- 938= 226
I think this is right
Part C
How many cubic blocks are needed to fill the fish tank?
Answer:
[tex]2\frac{2}{3}[/tex] cubic blocks
Step-by-step explanation:
The given parameters are:
[tex]Length = \frac{1}{2}yd[/tex]
[tex]Width = 16yd[/tex]
[tex]Height =\frac{1}{3}yd[/tex]
Required
Number of cubic blocks to fill the tank
To do this, we simply calculate the volume of the tank by:
[tex]Volume = Length * Width * Height[/tex]
This gives:
[tex]Volume = \frac{1}{2} * 16 * \frac{1}{3}[/tex]
[tex]Volume = \frac{16}{6}[/tex]
Simplify
[tex]Volume = \frac{8}{3}[/tex]
Express as mixed numbers
[tex]Volume = 2\frac{2}{3}yd^3[/tex]
What’s the slope?? Please help!
Answer:
I believe the slope of the line is 5
Step-by-step explanation:
5 + 5 = 10
10 + 5 + 15
15 + 5 = 20
Hope this helps :)
PLEASE HELP!!!!!!!! HELP NEEDED ASAP PLS PLS
Answer:
A
Step-by-step explanation:
It's correct but you don't show other answers
The box plot below shows the heights, in inches, of the 24 students in Brandon’s
homeroom.
47 5149 55 57 61 53 59 63 65 67 69
Select all the statements that describe the class according to the box plot.
A 50% of the students are less than 62 inches tall.
B The tallest student is 69 inches tall.
C 50% of the students are at least 56 inches tall.
D 25% of the students are less than or equal to 53 inches tall.
E There is a range of 9 inches in the heights of the students.
F 25% of the students are greater than 62 inches tall.
What is the part of the steam engine that does the work?
the flywheel
the piston
the turbine
the cylinder
Answer:
Piston
Step-by-step explanation:
Because i took the test ..................................
A coin is flipped 150 times. The results of the experiment are shown in the following table:
Heads Tails
84 66
Which of the following statements best describes the experimental probability of getting heads?
Group of answer choices
It is equal to the theoretical probability.
It is 6% lower than the theoretical probability.
It is 6% higher than the theoretical probability.
The experimental probability cannot be concluded from the data in the table.
Answer:
The answer would be C. It is 6% higher than the theoretical probability.
Answer:
The correct answer is C. It is 6% higher than the theoretical probability.
Step-by-step explanation:
This is correct, I took the test.
1. Consider the surface area of the pyramid shown.
(a) Draw a net for the pyramid. Label all sides with measurements.
(b) Write an expression for the surface area of the pyramid and then find the surface area.
Answer:
i am also trying to figure out a
Step-by-step explanation:
20 POINTS!! PLEASE HELP! WILL GIVE BRAINLIEST!!
Answer:
d i think
Step-by-step explanation:
HELP!!!!? ASP! PLSSSS #14
Let f(x) = 6x² - 54x+100 and g(x)=-3x² + 19. Identify the solution(s) of f(x) = g(x).
Answer:
x = 3
Step-by-step explanation:
f(x) = g(x)
[tex]6x^{2} - 54x + 100 = -3x^{2} + 19\\9x^{2} - 54x + 81 = 9(x^{2} - 6x + 9) = 0[/tex]
9(x - 3)(x - 3) = 0
x = 3
Arsenic concentration in public drinking water supplies is potential health risk. An investigator collected data of arsenic concentration in parts per billion (ppb) from 10 metropolitan phoenix communities and 10 rural Arizona. Under = 5%, can the investigator conclude that the metropolitan phoenix water is different from the rural Arizona when it comes to the Arsenic concentration
Answer:
Hello your question has some missing data below is the missing data
answer : The Investigator can conclude that the metropolitan phoenix water is different from the rural Arizona ( to = -2.77 which is < 0.05 )
Step-by-step explanation:
The hypothesis ;
H0 : μ1 = μ2
Ha : μ1 ≠ μ2
significance level ( ∝ ) = 0.05
calculate for degree of freedom ( df ) = 13.2 ( using excel function )
find the test statistic ( to ) = -2.77
attached below is the remaining part of the solution
