Answers
To solve this problem, we need to use combination which is statistical tool to determine the number of ways an event may occur. The combination to select a 5 a side team from 12 students is 792.
CombinationThis a mathematical technique that is used to determine the number of possible arrangements in a collection of items where the way they're arranged does not matter.
Data;
Number of Students = 12Team = 5The combination for this would be
[tex]C = ^1^2C_5 = 792[/tex]
The combination to select a 5 a side team from 12 students is 792.
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Related Questions
Will mark brainlist to whoever answers first
Answers
Help I suck at this Please Help Me!
Answers
By using partial products to multiply, 52 × 6 is 312
Multiplying using partial productsFrom the question, we are to use partial products to multiply 52 × 6
The partial multiplication is shown below
5 2
× 6
300 6 × 5 tens (That is, 6 × 5 × 10 = 300)
+ 12 6 × 2 ones (That is, 6 × 2 × 1 = 12)
312
Hence, by using partial products to multiply, 52 × 6 is 312
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Pyramid A has a volume of 60 mm3 and Pyramid B has a volume of 937.5 mm3. What is the ratio of their heights?
Answers
A pyramid is a polyhedron built by connecting a polygonal base and a point known as the top. The ratio of the height of pyramid A to pyramid B is 0.064.
What is a pyramid?A pyramid is a polyhedron built by connecting a polygonal base and a point known as the top. A lateral face is formed by the base edge and top of each triangle.
The volume of a pyramid is given by the formula,
Volume of the pyramid = (Length×Width×Height)/3
= (Area of base ×Height)/3
If the area of the base of the two pyramids is the same, then the ratio of the volume of the two pyramids will be,
[tex]\dfrac{\text{Volume of Pyramid A}}{\text{Volume of Pyramid B}} = \dfrac{60\rm\ mm^3}{937.5\rm\ mm^3}\\\\\\\dfrac{3 \times \text{(Area of base})_a \times h_a}{3 \times \text{(Area of base})_b \times h_b}= \dfrac{60}{937.5}\\\\\\\dfrac{h_a}{h_b} = 0.064[/tex]
Hence, the ratio of the height of pyramid A to pyramid B is 0.064.
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4 Here are two squares, A and B. A B The length of each side of square B is 4 cm greater than the length of each side of square A. The area of square B is 70 cmº greater than the area of square A. Find the area of square B. Give your answer correct to 3 significant figures. You must show all your working.
Answers
Answer:
116 centimeter squared
Step-by-step explanation:
La²+8La+16 = La²+70
Step-by-step explanation:
8La+16 = 70
8La=70-16
La=54/8
La= 6.75
Area b = (6.75+4)*(6.75+4)
Area b = 10.75*10.75
Area b =115.563
please solve
5x+3x-2x=
Answers
Answer:
hope it help you
Step-by-step explanation:
[tex]5x + 3x - 2x \\ 8x - 2x \\ 6x[/tex]
Answer:
6x
Step-by-step explanation:
Take x as the common factor and calculate.
5x + 3x - 2xx (5 + 3 - 2)x (8 - 2)6xWhat is the mode of the data represented in this line plot? Enter your answer in the box. A line plot. The number line ranges from 0 to 5. There are 2 marks above the 1. There are 3 marks above the 2. There are 4 marks above the 3. There are 3 marks above the 4.
Answers
Answer: The mode of the data in the line plot is the data with the highest number of marks
The mode of the data is 8
How to determine the mode?
From the line plot, we have the following frequency table:
Number Frequency
5 2 marks6 4 marks.
7 3 marks
8 6 marks
9 2 marks
10 4 marks
11 2 marks
The number with the highest mark is 9
Hence, the mode of the data is 8
Step-by-step explanation:
help plsls I’ll brainlist i promise this one’s abit confusing tho.
Answers
Answer:
25
Step-by-step explanation:
Please refer to the picture;
Find the measure of all sides. Round to the nearest tenth.
Answers
Answer:
(15squrt3)/2
Step-by-step explanation:
cos30=x/15
helppppp please !!!!
Answers
Step-by-step explanation:
the extreme values (minimum, maximum) of a function are the zero points of the first derivation of the function.
so,
f'(x) = 2x + b
and then
2x + b = 0
we know, x = 20 for the minimum
2×20 + b = 0
40 + b = 0
b = -40
therefore, the actual function is
f(x) = x² - 40x + 164
the target format is
f(x) = (x - h)² + k = x² - 2hx + h² + k
so,
-40x = -2hx
-40 = -2h
h = 20
and
h² + k = 164
20² + k = 164
400 + k = 164
k = -236
What is the resulting ordered pair if the value of the independent variable is –2? f(x)=2x^3+3x^2 A. (–5, –2) B. (–2, –4) C. (–2, –28) D. (–4, –2)
Answers
The resulting ordered pair if the value of the independent variable is –2 will be B. (-2, -4).
How to solve the variable?From the information given, it was stated that we should calculate the resulting ordered pair if the value of the independent variable is –2.
Therefore, in this case, x = -2. Therefore, we will play it into the equation. This will be:
f(x)=2x³ +3x²
= 2(-2)³ + 3(-2)²
= -16 + 12
= -4
Therefore, the ordered pair will be (-2, -4).
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I need help with this ASAP
Answers
Answer:
hope this will help you........
1/2 * 6 * 4 * 10
= 120cm (cubed)
5. A wheel makes 726 revolutions per minute. How many
revolutions does it make per second?
Answers
Explanation: 726/60 because there are 60 seconds for a minute.
Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the origin. Use the polygon tool to graph the dilated figure.
Answers
Answer:
answer is (-2,1), (-1,4), (1,2)
pls mark me as brainliest
I will give 20 points to whoever helps me answer this and maybe brainlist
Answers
Answer:
60 degrees
Step-by-step explanation:
since its a vertically opposite angle so angle 1 will equal angle 3
Answer:
60
Step-by-step explanation:
A company is designing a new cylindrical water bottle. The volume of the bottle will be 226 cm cubed. The height of the water bottle is 8.2 cm. What is the radius of the water bottle? Use 3.14 for pi
Need answer asap plsss!!
Answers
Answer:
2.96 cm to the nearest hundredth.
Step-by-step explanation:
V = 3.14 r^2 h
226 = 3.14 * r^2 * 8.2
r^2 = 226 / (3.14*8.2)
r^2 = 8.7774
r = 2.96 cm to the nearest hundredth.
Three straight lines are shown in the diagram.
310°
a
C
38%
87%
Answers
Step-by-step explanation:
______________________The sum of angle at a point is 360° so...
310° + a = 360°
a = 360° - 310°
a = 50°
Now...
here b and 180° are supplementary angle so ....
b = 180° - 80°
b = 100°
Again...
The sum of all angle of triangle is 180° so...
100° + 50° + c = 180°
150° + c = 180°
c = 180° - 150°
c = 30°
______________________Hence...the value of a is 50° , b is 100° and c is 30°...
______________________help its urgent!!!!!!!
Answers
A cube has a side length of 6 cm. The cube is reduced by a scale factor of 1/3. Find the volume of the reduced cube. 2 cm3 4 cm3 6 cm3 8 cm3
Answers
Answer:
8 cm
Step-by-step explanation:
because when it's reduced we multiply the side length by 1/3 * 6 = 2cm and the volume will equal v = a^3 = 2^3 = 8cm
Answer:
8cm
Step-by-step explanation:
step1: 6/3=2
volume of a cube =x*x*
v
:=8cm
v=2×2×2
vvv v
find the surface area of the trianlurprisum.
Answers
Answer: 56
Step-by-step explanation:
you multitouch answers I think
Help with these 10th grade geometry angle problems? I'm desperate and my teacher won't help me. Please also explain how you got your answer. Thank you.
Answers
Answer: 60
Step-by-step explanation:
See
m<COB and m<EOD are opposite anglesHence they are equal in measure.Hence
m<COB=60°
40 points please give the right answer
Answers
Step-by-step explanation:
dk if this makes sense
109-8
y=-x-5
x - 2y = 4
Plot two lines
Answers
Answer:
Given the equations, I plotted 2 lines.
Line 1 Line 2
x | y x | y
0 | 101 0 | -5
1 | 101 1 | -6
If the volume of this rectangular prism is 385 cubic inches, what is the value of x?
(x - 2) in.
xin.
W + 4) in
X
inches
Answers
Answer:
x=7
Step-by-step explanation:
x(x-2) (x+4) =385
distribute the x and solve
The value of x is 8 in.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
Length = x + 4
Width = x
Height = x - 2
The volume of the rectangular prism = 385 in³
The volume of the rectangular prism = length x width x height
Now,
length x width x height = 385
(x + 4) x (x - 2) = 385
(x + 4) (x² - 2x) = 385
x³ - 2x² + 4x² - 8x = 385
x³ + 2x² - 8x = 385
This is a cubic polynomial.
f(x) = x³ + 2x² - 8x - 385
f(x) = a³ + bx² + cx + d = 0
Using the calculator we get,
Roots:
x = -3.20181 + 5.96339 i (rejected)
x = -3.20181 - 5.96339 i (rejected)
x = 8.40362 = 8
Thus,
The value of x is 8 in.
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963.6 rounded to the whole number
Answers
Answer:
964.
Step-by-step explanation:
The first digit after the decimal point is 6 so we round up the 3.
What are the trigonometric ratios of in a right triangle with the given value tan A = 9/40
Answers
The trigonometric ratios of the right triangle with the given value tan A = 9 / 40 are
sin A = 9 / 41
cos A = 40 / 41
Trigonometric ratiosTrigonometric ratios are used to solve for the sides and angles of a right angle triangle.
Therefore,
sin A = opposite / hypotenuse
cos A = adjacent / hypotenuse
tan A = opposite / adjacent
Using Pythagoras theorem, let find the hypotenuse side
c² = 40² + 9²
c = √1681
c = 41
Therefore,
sin A = 9 / 41
cos A = 40 / 41
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What is the surface area of this right rectangular prism?
Enter your answer as a mixed number in simplest form by filling in the boxes.
$$
ft²
Answers
Answer:
32 1/3
Step-by-step explanation:
Answer:
The answer is [tex]31\frac{9}{10}[/tex].
Step-by-step explanation:
Make sure to follow this formula
[tex]2(lw)+(lh)+(wh)[/tex]
[tex]2(1.3x1.5)+(1.3x5)+(1.5x5) \\= 2(1.95+6.5+7.5)\\=31.9=31\frac{9}{10}[/tex]
In 2017, a chocolate bar had a mass of 250g.
In 2018, the mass of the chocolate bar was reduced to 220g.
Work out the percentage decrease in the mass of the chocolate
bar from 2017 to 2018.
Pls help i didn’t understand what the teach said
Answers
Answer:
12% decrease
Step-by-step explanation:
given:
In 2017, a chocolate bar had a mass of 250g.
In 2018, the mass of the chocolate bar was reduced to 220g.
The difference in mass is 250 - 220 = 30g
30 / 250 = 0.12 which is how much out of the 250g
0.12 x 100 = 12
12% decrease in the mass of chocolate bars from 2017 to 2018.
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100.
According to the question, it is given that
The mass chocolate bar had a mass of 250g in 2017
The mass of the chocolate bar was reduced to 220g in 2018
We have to find the percentage decrease in the mass of chocolate bars from 2017 to 2018.
Percentage decrease in the mass of chocolate bars from 2017 to 2018
=(250-220)/250×100
Percentage decrease in the mass of chocolate bars from 2017 to 2018
=30/250×100
=0.12×100
=12%
Therefore 12% decrease in the mass of chocolate bars from 2017 to 2018.
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what are 3 consecutive multiples of 3 if 2/3 of the sum of the first 2 numbers is 1 greater than the third number?
Answers
2/3(x + x+3) = x+6 + 1
2(2x + 3) = 3(x + 7)
4x + 6 = 3x + 21
4x - 3x = 21 - 6
x = 15
The three numbers are 15, 18, 21. [2/3(15 + 18) = 22 = 21 + 1]
please help me on this you will get alot of point and brainliest
Answers
Answer:
0.8 miles
Step-by-step explanation:
Answer:
5.2 miles
Step-by-step explanation:
Airport to Arcadia is one leg of right triangle = x
Airport to Stafford is leg2 of right triangle = 7.6
9.2 miles is hypotenuse of right triangle
Pythagorean theorem:
x^2 + 7.6^2 = 9.2^2
x = ~ 5.2 miles
3 + 4ab - 5b + m
Number of terms:
Coefficients:
Constant terms:
Answers
Answer:
Number of terms = 4 (there are four terms)
coefficients = the coefficient of ab = 4
✓✓✓ ✓✓✓ ✓ b = -5
✓✓✓ ✓✓✓ ✓ m = 1
constant terms = 3
Hope it helped!!
Number of terms, Coefficients, Constant terms are 4,2 and 1
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
3 + 4ab - 5b + m
Number of terms here are
=4
Coefficients we have
=2
Constant terms
=1
Therefore, the answer to this algebra will be 4,2 and 1
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