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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Find the prime factorization of 1296
METHOD WAY!
Answer:
[tex]1296 = 6 \times 6 \times 6 \times 6 = {6}^{4} = {2}^{4} \times {3}^{4} [/tex]
Factorize algebraic expressions by pulling out highest commom factor.
10x - 15y
Answer:
5(2x-3y)
Step-by-step explanation:
10x-15y
=(5)(2x)-(5)(3y)
=5(2x-3y)
whats the probability of Rolling an even number on a dice, then flipping a coin to get a tails
Answer:the probabilities of getting a head and a tail are equal to 12 . The probability of getting an even number on a die is 36=12
Step-by-step explanation:because among 6 results there are 3 even numbers.
Does anybody know this? I don't have much time and Also it is not the forth option. What is the approximate surface area of the cylinder shown?
Answer:
C) [tex]628\:\text{cm}^2[/tex]
Step-by-step explanation:
[tex]SA=2\pi rh+2\pi r^2\\\\SA=2\pi(\frac{10}{2})(15)+2\pi(\frac{10}{2})^2\\ \\SA=150\pi+50\pi\\\\SA=200\pi\:\text{cm}^2\approx628\:\text{cm}^2[/tex]
If segment A is perpendicular to segment B, then they intersect at a 90° angle.
Choose the equivalent statement.
A. If segment B is not perpendicular to segment A, then they
intersect at a 90° angle.
B. If segment A is perpendicular to segment B, then they do not
intersect at a 90° angle.
C. If segments A and B do not intersect at a 90° angle, then they are
not perpendicular to each other.
What is the area of the shaded region? (25π – 48) cm2 (25π – 30) cm2 (25π – 24) cm2 (25π – 12) cm2
The area of the shaded region or portion in the circle is (25π - 24) cm².
How to find the area of the shaded portion in the circle?The area of the shaded portion in the circle is found by subtracting the area of the two triangles from the area of the circle.
Therefore,
area of the circle = πr²
where
r = radiusarea of a triangle = 1/ 2 bh
where
b = baseh = heightTherefore,
r = 5 cm
area of circle = 5²π = 25π cm
area of one triangle = 1 / 2 × 6 × 4 = 12 cm²
The area of the two triangles = 2(12) = 24 cm²
Hence,
area of the shaded portion = (25π - 24) cm²
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Please help don’t understand radical
Simplified
[tex]x\sqrt[3]{x}[/tex]
Can you create a data set which contains median=6 and mode=4?
1, 4, 6, 9, 15, 4, 3, 12, 11
Answer:
hey!
Step-by-step explanation:
is 0.4285714285714 a rational number
Answer:
No it is not a rational number
Step-by-step explanation:
A rational number is a number that can be written in the form
p
q
, where
p
and
q
are integers and
q
≠
o
.
All fractions, both positive and negative, are rational numbers. A few examples are
4
5
,
−
7
8
,
13
4
,
and
−
20
3
fully factorize
6xy-2x+3z-9zy
Answer:
(2x−3z)(3y−1)
Step-by-step explanation:
6xy-2x+3z-9zy
2x(2xy-1)+3z-9zy
2x(-1+3y)+3z(1-3y)
(2x−3z)(3y−1)
I think of i take away 5 the results is 14 what number did i think of
Answer:
19.
Step-by-step explanation:
Let the number you think of be x, then:
x - 5 = 14.
x - 5 + 5 = 14 + 5
x = 19.
I need helppppppp :((
The value of minor arc, major arc and central angles given below:
What is an arc?An arc measure is an angle the arc makes at the center of a circle, whereas the arc length is the span along the arc.
Given: BOF= 126
angle BOF= angle COE= 126 (Vertically opposite angle)
Now,
angle BOF + angle BOC= 180 (Linear pair)
BOC=180-126= 54
and, COE= COD+ DOE
= COD+COD
126 =2COD
COD= 63
now, BOD= BOC++COD
= 54+63
= 117
Arc length of BCD= 87/360*2πr
= 2.041r
2. minor arc:
arc BF= 126/360* 2πr
= 2.198r
arc FE= 54/360*2πr
= 0.942r
arc DE= 63/360*2πr
= 1.099r
arc CD= 63/360*2πr= 1.099r
arc CDE=126/360*2πr
= 2.198 r
3. major arc
arc BFED= 243/360*2πr
= 4.239r
arc FBCD= 243/360*2πr
= 4.239r
arc DCBFE= 297/360*2πr
= 5.181r
arc CBFE= 234/360*2πr
= 4.082r
4. 6 central angles
BOC= 54= FOE
COD=63=DOE
BOF=126
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What is the length of DE?
A. 5
B. 7
C. 6
D. 8
Answer:
the answer is 5. I think because it's a trian
A. 5 I think.....the length of DE is 5.
Which equation gives the line shown on the graph?
y
y = 22 +4
10
9
8
y = 224
7
6
三一z-4
5
u
3
y= 22 + 4
N
1
O
0 1 2 3 4 5 6 7 8 9 10
Done >
Answer:
6
Step-by-step explanation:
line graph start at 5 equations
In a bag, there are oranges and bananas. If we give away 135 bananas, the percentage of fruits in the bag that are bananas will decrease from 60% to 15%. How many oranges are there in the bag
The number of oranges that are in the bag is 120.
How many oranges are in the bag?The equation that represents the initial amount of bananas in the bag is: bananas / total number of fruits = 0.60
bananas = 0.60t equation 1
The equation that represents the number of bananas in the bag after 135 was removed is:
(b - 135) / t = 0.15
b - 135 = 0.15t equation 2
Where :
b - total number of bananas t = total number of fruitsSubstitute for b in equation 2 using equation 1
0.6t - 135 = 0.15t
0.6t - 0.15t = 135
t = 135 / (0.6 - 0.15)
t = 300
The initial number of bananas : 0.6 x 300 = 180
Number of oranges = 300 - 180 = 120
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How Do You Graph This Equation
Answer:
Rearrange both inequalities to make y the subject.
Momentarily swap the inequality sign for an equals sign in order to calculate two points for each line.
Inequality 1
[tex]2y \leq x-10[/tex]
[tex]\implies y < \dfrac{1}{2}x-5[/tex]
[tex]x=0\implies y=\dfrac{1}{2}(0)-5 \implies (0,-5)[/tex]
[tex]x=4 \implies y=\dfrac{1}{2}(4)-5 \implies (4,-3)[/tex]
Inequality 2
[tex]x+y\leq -3[/tex]
[tex]\implies y\leq -x-3[/tex]
[tex]x=0\implies y=-(0)-3\implies (0,-3)[/tex]
[tex]x=4\implies y=-(4)-3\implies (4,-7)[/tex]
When graphing inequalities
< or > : dashed line
≤ or ≥ : solid line
< or ≤ : shade below the line
> or ≥ : shade above the line
Therefore,
Inequality 1: plot points (0, -5) and (4, -3) and draw a solid line through them.
Inequality 2: plot points (0, -3) and (4, -7) and draw a solid line through them.
Shade the area below both lines from where the lines intersect.
Answer:
See below ~
Step-by-step explanation:
Inequality 1 :
Convert into y = mx + b form2y ≤ x - 10y ≤ x/2 - 5Taking 2 points :
0 ≤ x/2 - 5x/2 ≥ 5x ≥ 10⇒ Point 1 = (10, 0)y ≤ 0 - 5y ≤ -5⇒ Point 2 = (0, -5)Inequality 2 :
x + y ≤ -3y ≤ -x - 3Taking 2 points :
0 ≤ -x - 3x ≤ -3Point 1 = (-3, 0)y ≤ 0 - 3y ≤ - 3Point 2 = (0, -3)Plot the two 2 lines using the 2 points and shade as per the sign of the inequality. The result will be this graph :
What is more than 11 but less than 12?
Answer:
136
Step-by-step explanation:
Answer:
There are infinite numbers that fit this range, but one is 11.5
How many different trains can you make of length three?
Using the combination formula, and supposing that you have n parts, it is found that the number of trains you can make is of:
[tex]N = C_{n,3} = \frac{n!}{3!(n - 3)!} = \frac{n!}{6(n-3)!}[/tex]
The order in which the parts are taken is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 3 parts are taken from a set of n, hence the total number of trains is given by:
[tex]N = C_{n,3} = \frac{n!}{3!(n - 3)!} = \frac{n!}{6(n-3)!}[/tex]
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In a telephone poll, 2 people said they like shopping and 8 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the total number of people polled?
Answer:
4:1
Step-by-step explanation:
There are eight people who don't like shopping and 2 who do. So for every 1 person who likes shopping there are 4 people who don't
Which is equivalent to (3√125)*?
Answer:
33.5410196625 ????
Step-by-step explanation:
Can someone answer this problem??
Answer: The answer is 9
Answer:
9% of her monthly income is spent on 'Other expenses'
Step-by-step explanation:
[tex]900+120+80+100+320=1820[/tex]
but if you divide 180 by 2000 you'll get 0.09 but times that by 100 you'll get 9%
Need help please answer ASAP!
25&26
Answer:
40° and 6
Step-by-step explanation:
25. Let's suppose the angles as 2x and 7x
Then,
2x + 7x = 180°
or, 9x = 180°
or, x = 180°/9
or, x= 20°
Now, 2x is smaller
So, 2x = 2× 20° = 40°
26. Solution,
Each exterior angle = 360°\n
or, 60° = 360°/n
or, 60°n = 360 °
or, n = 360°/60°
or, n=6
As, Hexagon has 6 sides.
#26
Any polygon has sum of exterior sides as 360°
No of sides
360/60=6#25
Let the angles be 2x and 7x
2x+7x=1899x=180x=180/9x=20°Smallest angle=2(20)=40°
At devon's new job he spent $12.99, $10.50, $9.89, $6.90, and $7.58 on lunch the first week.
in the second week, he spent $2 more in total for the 5 lunches than the first week.
what is the increase in the mean for the second week compared to the first?
round the answer to the nearest penny.
A mean is an arithmetic average of a set of observations. The increase in the mean for the second week compared to the first is 0.4.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
[tex]\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}[/tex]
Given the spending in the first week is $12.99, $10.50, $9.89, $6.90, and $7.58, therefore, the mean will be,
[tex]\rm (Mean)_1 = \dfrac{\$12.99 + \$10.50 + \$9.89 + \$6.90 + \$7.58 }{5} = \$9.57[/tex]
Also, the spending in the second week is $2 more than the total of the first week, therefore, the mean will be
[tex]\rm (Mean)_2 = \dfrac{\$12.99 + \$10.50 + \$9.89 + \$6.90 + \$7.58 + \$2}{5} = \$9.97[/tex]
Hence, the increase in the mean for the second week compared to the first is 0.4.
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Someone help me find the length of ST please!
Answer:
10
Step-by-step explanation:
I calculated and it's 10 I'm in car so I can't give the whole explanation
b) Your father uses text messaging to communicate with his employees. If he sends an
average of 19 text messages each day, how many more text messages does he
send than you? Write an equation and solve for the unknown value. (2 points)
Answer:
father sends 7 more
19-12=7
I need help on this please
Answer:
9.45 ounces
Step-by-step explanation:
The formal definition of the standard deviation of a population is that it is the square root of the mean of the squares of the differences between the data values and their mean.
The calculation can be done more simply as the root of the difference between the mean of the squares and the square of the mean. That is the calculation shown in the attachment.
The population standard deviation is about 9.45 ounces.
_____
Additional comment
The easier way to do the calculation is to use the calculator or spreadsheet function that gives the result directly. For the Desmos calculator shown, that function is stdevp(w) for the definition of w that we used. The function has the same name in many spreadsheet programs.
The average speed of a car on the highway is 65 miles per hour? How many feet per
second is this?
Answer:
95.3333 ft/s
Step-by-step explanation:
A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 12. points and a line show an upward trend. which is most likely the correlation coefficient for the set of data shown? –0.872 –0.191 0.191 0.872
Answer:
Its 0.191
Step-by-step explanation:
Answer:
c) 0.191
Step-by-step explanation:
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.
Check all statements that are true. If none are true click “None”
A- Since it is a repeating decimal, 14.19 is irrational.
B- Since it is a terminatingdecimal, 12.19 is rational.
C- Since 16 is a perfect square,
16 is irrational
D- Since 6 is not a perfect square, 6 is rational.
E- Since it’s a ratio of two integers 11/3 is rational
Answer:
B and E are True.
Step-by-step explanation:
B 12.19 is a terminating decimal so it is rational.
E its a ratio of 2 integers so its rational.
A - is not repeating so this is false.
C. a perfect square is rational - 16 can be written as 16/1.
D. 6 is rational because it can be written as 6/1 not because its not a perfect square.