Considering the definition of combination, she could choose 190 different pairs of team.
What is combinationCombinations of m elements taken from n to n (m≥n) are called all the possible groupings that can be made with the m elements in such a way that not all the elements enter; the order does not matter and the elements are not repeated.
To calculate the number of combinations, the following formula is applied:
[tex]C=\frac{m!}{n!(m-n)!}[/tex]
The term "n!" is called the "factorial of n" and is the multiplication of all numbers from "n" to 1.
Different pairs of team leadersMs. lewis has 20 students in her p.e. class. She puts each student's name in a hat and will select the names of 2 students at random as team leaders for a volleyball game.
So, you know that:
m= 20n= 2Replacing in the definition of combination:
[tex]C=\frac{20!}{2!(20-2)!}[/tex]
Solving:
[tex]C=\frac{20!}{2!18!}[/tex]
C= 190
Finally, she could choose 190 different pairs of team.
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Walter wants to make 200 candles in the shape of a cone for his new candle business. The mold shown below will be used to make the candles. Each mold will have a height of 6 inches and a diameter of 2 inches. To the nearest cubic inch, what will be the total volume of 200 candles
Answer:
1256 cubic inches
Step-by-step explanation:
Volume of all 200 candles = volume of one mold × 200
Finding the volume of one mold:
We are given that the molds are in the shapes of cones and have a height of 6 inches as well as a diameter of 2 inches.
The volume of a cone can be calculated using the formula
V = πr²(h/3) where r = radius and h = height
Converting the diameter to radius
The volume of a cone formula requires the radius however we are only given the diameter. However we know that the radius is equal to half of the diameter or radius = diameter / 2
So if diameter = 2 then radius = 2 / 2 = 1 so r = 1
Plugging in the given values into the formula
V = πr²(h/3)
==> plug in r = 1 and h = 6 and π = 3.14 approximately
V = (3.14)1²(6/3)
==> simplify exponent
V = 3.14(1)(6/3)
==> divide 6 by 3
V = 3.14(2)
==> multiply 3.14 by 2
V = 6.28
Finding the volume of the 200 candles.
So we have calculated that the volume of one candle is about 6.28in³ and we want to find the volume of 200 of those candles.
To do so we simply multiply the volume of one of those candles by 200
So volume of 200 candles = 200 × 6.28 = 1256 cubic inches
A- 52/3
B- 52/7
C- 17
D- 3/4
The Answer is: A. 52/3
timothy's video game the levels starts with 30 aliens each worth five points Timothy already shot 6 of them how many more points can he get if he shoots the rest on this level?
Answer:
70 points
Step-by-step explanation:
What percentage of bolivians are catholic? 77% 82% 87% 92%
According to a survey report in 2018, the percentage of Bolivians that are Catholics is about: A. 77%
Who are the Bolivians?The Bolivians are people from the country, Bolivia. The country Bolivia is described a predominantly Catholic country as a result of its relations between the Church and the state.
Based on a survey report in 2018, about 77% of Bolivians were said to be Catholics.
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Answer:
1. b- El trópico
2. A- 77%
Step-by-step explanation:
got a 100 and i jus took the test
find the volume of the compound shape
[tex]v = \frac{2}{3} \pi {r}^{3} [/tex]
[tex]v = \frac{2}{3} \times \pi \times {1.5}^{3} [/tex]
[tex]v = 7.07 \: {cm}^{3} [/tex]
Volume of the cylinder:[tex]v = \pi {r}^{2} h[/tex]
[tex]v = \pi \times {1.5}^{2} \times 4[/tex]
[tex]v = 28.27 \: {cm}^{3} [/tex]
Total volume:[tex]v = 7.07 + 28.27[/tex]
[tex]v = 35.34 \: {cm}^{3} [/tex]
Hence, the volume of the given compound shape is 35.34 cubic centimeters.
v of hemisphere:
2/3 pi r^3
v of cylinder:
pi r^2 h
total:
add both the value
apply the formula and try
Which of the following could be the perimeter of a rectangle with an area of 24 square inches?
A) 24 inches
B) 18 inches
C) 20 inches
D) 32 inches
Answer: C. 20 inches
Step-by-step explanation:
perimeter= 2 x (4+6)=20 inches
what is equivalent to -3/2
Answer:
-6/4
Step-by-step explanation:
equivalent, that means something that is equal to so if you break -6/4 to the lowest you get -6/4
longest bridge in the world
Answer:
the Danyang–Kunshan Grand Bridge
The world's longest bridge is the Danyang–Kunshan Grand Bridge in China, part of the Beijing-Shanghai High-Speed Railway, according to Encyclopaedia Britannica (opens in new tab). The bridge, which opened in June 2011, spans 102.4 miles (165 kilometers)
Answer:
Danyang–Kunshan Grand Bridge
Step-by-step explanation:
The altitude of an equilateral triangle is 7 units long. The length of one side of the triangle is ____ units. 7 14
The length side of equilateral triangle is 8.08 units
What is Altitude?The altitude or height of an equilateral triangle is the line segment from a vertex that is perpendicular to the opposite side.
Here, let the side of the equilateral triangle be x units
given altitude of the equilateral triangle = 7 units
we know,
Altitude = √3/2 X side
7 = √3/2 X x
x = 7 X 2 / √3
x = 14/√3
x = 8.08 units
Thus, the length side of equilateral triangle is 8.08 units.
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If the hypotenuse of the triangle below is 8√2, what is the leg?
Answer:
8
Step-by-step explanation:
The side lengths of this special right triangle is as follows:
The side length that sees angle measure 90 (hypotenuse) is represented with x[tex]\sqrt{2}[/tex]
and
the side length that sees angle measures 45 (the legs) is represented with x
hypotenuse is given as 8[tex]\sqrt{2}[/tex] so we can easily find the value of x and legs in this case
x = 8
If 2 newspapers cost $3.00,
how much does one
newspaper cost?
Answer:
$1.50
Step-by-step explanation:
you only need to do $3.00/2 = $1.50
Answer:
$1.50
Step-by-step explanation:
3 divided by 2 = 1.5
Feeling anxious about another pandemic induced run-on toilet paper, Mrs. Phillips is making room in a closet for hording Angel Soft toilet paper. Using the Fermi process, she wants to estimate the number of rolls of toilet paper she can fit into a rectangular section of a closet with dimensions of length 36 inches, width 36 inches, height 108 inches.
One Angel Soft MEGA roll has a diameter 5 inches, height 3.75 inches.
About how many Angel Soft MEGA rolls can be fit into the closet space?
Show all math work needed to complete this problem.
For closet
It's a rectangle
L=36inB=36inH=108inVolume
LBH36²(108)(36)³(3)139968in³For rolls:-
Cylindrical body
radius=r=5/2=2.5inHeight=h=3.75inVolume:-
πr²hπ(2.5)²(3.75)π(6.25)(3.75)73.6in³Total rolls:-
Volume of closet /Volume of rolls139968/73.61901.71902 rollsAnswer:
1372
Step-by-step explanation:
Rectangular closet dimensions:
length = 36 inwidth = 36 inheight = 108 inModelling the roll of toilet paper as a cylinder with dimensions:
diameter = 5 inheight = 3.75 inIf we sit the rolls of toilet paper in the closet with their circular ends as their bases, then we can calculate the number of rolls that cover the base of the closet by dividing the length (and width) of the closet by the diameter of the toilet roll.
⇒ 36 in ÷ 5 in = 7.2 in
Therefore, we can fit 7 toilet rolls along the length and 7 toilet rolls along the width of the closet, meaning that we can fit 7 × 7 = 49 toilet rolls over the base of the closet.
Now calculate how many toilet rolls we can stack on top of each other.
To do this, divide the height of the closet by the height of the toilet roll:
⇒ 108 in ÷ 3.75 in = 28.8
Therefore, we can stack 28 layers of 49 toilet rolls in the closet.
So the total number of toilet rolls = 28 × 49 = 1372
There are other ways of stacking the toilet rolls in the closet (for example, turning them on their side), however, we cannot calculate the number of rolls the closet fits by simply dividing the volume of the closet space by the volume of a toilet roll, since the toilet rolls are cylinders and so there will always be some space between them.
A rectangle sticker had a perimeter of 32 centimeters and a area of 48 square centimeters. what are the dimensions of the sticker
Answer:
4 cm ×12 cm
Step-by-step explanation:
To find the dimensions of the sticker, start by forming 2 equations for its area and perimeter.
Perimeter of rectangle= 2(length +breadth)
Let the length and breadth of the rectangle be L and B cm respectively.
2(L +B)= 32
Divide both sides by 2:
L +B= 16 -----(1)
Area of rectangle= length ×breadth
LB= 48 -----(2)
From (1): L= 16 -B -----(3)
Substitute (3) into (2):
(16 -B)(B)= 48
Expand:
16B -B²= 48
B² -16B +48= 0
(B -4)(B -12)= 0
B -4= 0 or B -12= 0
B= 4 or B= 12
Substitute into (3):
L= 16 -4 or L= 16 -12
L= 12 or L= 4
Thus, the dimensions of the sticker is 4 cm ×12 cm.
Which best describes the strength of the correlation, and what is true about the causation between sodium and the number of calories in this meal? it is a weak positive correlation, and it is not likely causal. it is a weak positive correlation, and it is likely causal. it is a strong positive correlation,and it is not likely causal. it is a strong positive correlation, and it is likely causal.
Based on the correlation coefficient between sodium and the calories in the meal, we can say that there is a strong positive correlation, and it is not likely causal.
What do correlation coefficients tell us?Correlation coefficients are used to show the strength of a correlation between two variables. They go from -1 to 1 and the closer to figure is to 1, the stronger the correlation between the two.
If the figure is close to 1 (instead of -1) as is the case here it means that there is a positive correlation.
Correlation however, does not mean causation which is why there is a strong positive correlation between Sodium and calories with a coefficient of 0.74, but its likely that this isn't causal.
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A building that is used for storage has the dimensions shown. What is the volume of the building?
The total volume of this building based on the volume of its two sections is 3808 cubic feet.
How to calculate the volume of the building?In this case, it is necessary to calculate the volume of the base that has a rectangular prism shape and the volume of the top part that has a right triangular prism shape.
What is the volume of the base?length x widht x height28 x 8 x 14 = 3136 cubic feetWhat is the volume of the top part?0.5 x base x height x length0.5 x 14 x 8 x 12 = 672 cubic feetWhat is the total volume?3136 + 672 = 3808 cubic feetNote: This question is incomplete because the image is missing; here is the missing section.
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Which is the graph of y-3=-2/3(x+6)
Answer:
The first graph.
Please help with the 4/5 problems:) I completely forgot how to do this! *please show work on how you got your answer!**
Which number is greatest?
CLEAR SUBMIT
290,095
209,509
290,905
209,950
Answer:
290,905
Because the ten-thousands place is greatest, and the hundreds place is greater than option A, we can determine that option C is correct.
Due this is linear relationships and slope
Answer:
6x+4 C
Step-by-step explanation:
Because the y-axis is +4
Please help me. 15 points
Answer:
360 feet
ft = 120 • 3 = 360 feet
Answer:
Your choice of 360 is correct.
Step-by-step explanation:
3 feet = 1 yard
120 times 3 =
360
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Joseph charges $20 an hour with a $5 flat fee for soccer lessons. Kellen charges $15
an hour with a flat fee of $10 for soccer lessons.
Which equation represents the situation when the cost is the same to be coached by
Joseph or Kellen, where his hours?
20h + 10 = 15h + 5
--
5h + 20 = 10h + 15
20h + 5 = 15h + 10
O5h + 15 = 10h + 20
Answer:
20h + 10 = 15h + 5
Step-by-step explanation:
Looking at the statements we see that Joseph charges 20h +5 and kellen 15h +10
John is weighing his jars of coins. his jar of pennies weighs 84.96 ounces, and his jar of nickels weighs 3.11 kilograms. there are 0.0283495 kilograms per ounce. which jar weighs more, and how many more pounds does it weigh? a. the jar of pennies weighs 8.41 pounds more than the jar of nickels. b. the jar of pennies weighs 0.089 pounds more than the jar of nickels. c. the jar of nickels weighs 2.06 pounds more than the jar of pennies. d. the jar of nickels weighs 1.55 pounds more than the jar of pennies.
The jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d
Calculating weightFrom the question, we are to determine the jar that weighs more
From the given information
His jar of pennies weighs 84.96 ounces
and his jar of nickels weighs 3.11 kilograms
First, we will 84.96 ounces to kilogram
From the given conversion,
There are 0.0283495 kilograms per ounce
That is, 0.0283495 kg = 1 ounce
If 1 ounce = 0.0283495 kg
Then,
84.96 ounces = 84.96 × 0.0283495 kg
∴ 84.96 ounces = 2.4086 kg
His jar of pennies weighs 2.4086 kg
Since the John's jar of nickels weighs 3.11 kg, his jar of nickels weigh more.
3.11 kg - 2.4086 kg = 0.7014 kg
Convert 0.7014 kg to pounds
1kg = 2.20462 pounds
∴ 0.7014 kg = 0.7014 × 2.20462 pounds
0.7014kg ≅ 1.55 pounds
Hence, the jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d.
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The box plots below represent the scores for games played by two high school basketball teams over the last 5 seasons.
Based on these plots, which statement regarding the means of the two data sets is is most likely true?
A The mean score per game is higher for South County High School because the distribution of South County High School's scores is not as skewed as the distribution of Central High School's scores.
B The mean score per game is about the same for both schools because their median scores are about the same.
C The mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.
D No conclusion can be drawn regarding the means because the box plots only show medians and quartiles.
The mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
From the data given in the box plot, we can conclude that the mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.
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Find the volume of the cylinder.
Either enter an exact answer in terms of 7 or use 3.14 for T.
6
units 3
Answer:
3.14×5(2)×6=471.24
Step-by-step explanation:
you have to take square of 5
Find the equation of the straight line passing through the point (3,5) which perpendicular y=3x +2 to the line
The equation of the straight line that passes through the point (3,5) which is perpendicular to the line y = 3x + 2 is x -3y -18=0
What is an equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
To find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y = 3x + 2, we will first find the slope(m).
To find the slope m of the perpendicular equation;
y = 3x + 2 --------------(1)
comparing the equation above with the standard equation of a circle
y=mx + c
m=3
The slope of the perpendicular equation;
= -1
3 = -1
Divide both-side of the equation by 3
= -1/3
so, the slope of our perpendicular equation is -1/3
Then, we go ahead to find our intercept
To find the intercept, we will plug in the points and the new slope into the formula y =mx + c
5 = -(3) + c
5 = -1 +c
Add one to both-side of the equation
5+1 = -1 + c + 1
6 =c
c=6
our intercept c is equal to 6
so we can now proceed to form our equation.
y = - x + 6
Multiply through by 3
-3y = -x + 18
We can rearrange the equation, hence;
x -3y -18=0
Therefore the equation of the straight line that passes through the point (3,5) which is perpendicular to the line y = 3x + 2 is x -3y -18=0
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Tua wanted to teach his pet raven to count because they are very smart birds. He used various fruits and nuts to represent numbers. A peanut = 1 A grape = 2 peanuts 14 is represented by an acorn and 3 grapes. An acorn is worth half a plum. What is the value in fruits and nuts, of two plums and a peanut, divided by a grape and a peanut?
The value of two plums and a peanut, divided by a grape and a peanut is 11
How to solve the expression?The given parameters are:
Peanut = 1Grape = 2 Acorn + 3 grapes = 14Acorn = 1/2 PlumSubstitute Grape = 2 in Acorn + 3 grapes = 14
Acorn + 3 *2 = 14
Acorn + 6 = 14
Subtract 6 from both sides
Acorn = 8
Substitute Acorn = 8 in Acorn = 1/2 Plum
8 = 1/2 Plum
Multiply both sides by 2
Plum = 16
So, we have:
Peanut = 1
Grape = 2
Acorn = 8
Plum = 16
The value of two plums and a peanut, divided by a grape and a peanut is:
(2 plums + peanut)/(grape + peanut)
This gives
(2 * 16 + 1)/(2+ 1)
Evaluate
11
Hence, the value of two plums and a peanut, divided by a grape and a peanut is 11
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graph this sin equation
Answer:
I graphed it on desmos:
what is the rate change of the table?
The rate of change is $27 per month if the change in y values is 54 and change in x values is 2.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
From the data given in the table, we can find the rate of change per month:
To find the rate of change:
= change in y/ change in x
= (138-84)/(4-2)
= 54/2
= 27 per month
Thus, the rate of change is $27 per month if the change in y values is 54 and change in x values is 2.
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help me please!!! i cant do these
Answer:
sec(B)=b. ab/bc
sin(B)=c. ac/ab
csc(B)=f. ab/ac
cot(B)=a. bc/ac
tan(B)=e. ac/bc
cos(B)=d. bc/ab
Step-by-step explanation:
SOHCAHTOA
Sine=Opposite/Hypotenuse
Cosine=Adjacent/Hypotenuse
Tangent=Opposite/Adjacent
SHACHOCotAO
Secant=Hypotenuse/Adjacent
Cosecant=Hypotenuse/Opposite
Cotangent=Adjacent/Opposite
Neglecting air resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t) = 16t^2 where is time in seconds. The height of a certain tower is 878 feet. How long would it take an object to fall to the ground from the top of the building?
Answer:
7.4 seconds
Step-by-step explanation:
878 = 16 t^2 divide both sides of the equation by 16
54.875 = t^2 take positive sq rt
7.4 seconds