Using the permutation formula, it is found that there can be 600 winning combinations.
There are roles involved(president, vice-president, secretary and treasures), hence the order is important and the permutation formula is used.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem:
For president and vice-president, 2 students are chosen from a set of 6.For secretary and treasurer, 2 students are chosen from a set of 5.Hence:
[tex]T = P_{6,2}P_{5,2} = \frac{6!}{4!} \times \frac{5!}{3!} = 30 \times 20 = 600[/tex]
There can be 600 winning combinations.
More can be learned about the permutation formula at https://brainly.com/question/25925367
help!!
find the unknown sizes of angles of figure
Answer:
60°Step-by-step explanation:
it looks like an isosceles triangle, 2 equal side and 2 equal angles (F&E)
the sum of the interior angles in a triangle is 180°, and FH is 180°.
180 - 120 = 60° (angle G)
now we know that it is an equilateral triangle, so Y and 2x are 60°
(3 * 60 = 180°)
-------------------------------
or
180 - 60 = 120
120 : 2 = 60°
A robot painted 423 car parts in 9 minutes. What was the rate per minute at which the robot painted the parts?
Answer:
47 parts per minute
Step-by-step explanation:
423/9=47
Robin’s scores: 99, 108, 102, 107, 119 Mean = 107; MAD = 5. 2 Evelyn’s scores: 125, 137, 138, 145, 145 Mean = 138; MAD = 5. 6 Explain what the mean absolute deviation is in general. Explain what the MAD means in the context of Robin and Evelyn’s data.
The absolute distance of the Evelyn scores from her mean score is greater than the absolute distance of Robin scores from his mean score.
What is Mean?Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.
What is the mean absolute deviation?Mean refers to the average of the observation and deviation means the variation from the present standard.
Given
Robin’s scores: 99, 108, 102, 107, 119
Mean = 107
MAD = 5.2
Evelyn’s scores: 125, 137, 138, 145, 145
Mean = 138
MAD = 5.6
The absolute distance of the Evelyn scores from her mean score is greater than the absolute distance of Robin scores from his mean score.
More about the mean and the mean absolute deviation link is given below.
https://brainly.com/question/10258446
Find the value of x. Anyone able to help?
Answer:
12
Step-by-step explanation:
The top and bottom of both sides are equal to eachother. So 5 times 12 equals 60 and subtract the 2 off to get 58.
Have a good day!
In this polygon all angles are right angles
What is the area of this polygon
Enter your answer in the box
Answer: 334
Step-by-step explanation:
Cut the polygon into 2 pieces
Find the area of each rectangle and some it
7*10 = 70
24*(21-10) = 264
264 + 70 = 334
Answer:
334 ft²
Step-by-step explanation:
split the polygon into two
Area of A = 21 ft × 7 ft = 147 ft²
Area of B = (21 ft - 10 ft) × (24 ft - 7 ft)
Area of B = 11 ft × 17 ft = 187 ft²
Area of polygon = sum of Areas of A and B
147 ft² + 187 ft² = 334 ft²
I’m stuck on this question please help x
Answer:
a = -3 and b=5
Step-by-step explanation:
Given that 10 can be written as 2*5 or √2*√2*5, and √18 can be written as √(2*9) or √2*√9 or 3√2, you can write the fraction as:
[tex]\frac{5\cdot\sqrt2\cdot\sqrt2-3\sqrt2}{\sqrt2}[/tex]
So getting rid of the √2 factor, you get 5√2 - 3, so a=-3 and b=5
How can 10% of 45 be used to determine 30% of 45?
Answer:
Step-by-step explanation:
If you know what 10% of 45 is and want to find 30%, you just multiply it by 3 since 10 * 3 = 30
Lesson 19 Practice
Rewrite the product as a sum or difference of two terms: 2(x + y)
Hey there!
2(x + y)
DISTRIBUTE 2 WITHIN the PARENTHESES
= 2(x) + 2(y)
= 2x + 2y
Therefore, your answer is: 2x + 2y
Basically, 2 (the first one) is your coefficient, x & y are your variables, and 2 (the second one) is your constant. Whereas, your addition symbol (the sum or +) is your operator.
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
PLEASE HELP NOW worth 40 points
Answer:
A:
1. x=6
2. x=4
3. x=2
4. x=1
5. x=-3
B: -2, -3, -4
Step-by-step explanation:
How many buses do you need for 200 people if each bus holds
34 people?
Answer:
6
Step-by-step explanation:
you divide 200 people by 34 people per bus and get 5.88 (6)
Answer: 6 is correct! thax
USACanada
Step-by-step explanation:
Which expression represents the following word sentence? Four times the sum of 3. 2 and a number is the number less 1. 4. 4n 3. 2=1. 4−n 4(3. 2 n)=n−1. 4 4(n 3. 2)=1. 4−n.
The line four times the sum of 3.2 and a number is the number less 1.4 can be expressed as 4(n+3.2) = n-1.4.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given to us
Four times the sum of 3.2 and a number is the number less than 1.4
Let the number be n.
It is given that the sum of 3.2 and number,
n + 3.2
Four times the sum, therefore,
4(n+3.2)
The total we got is the number less 1. 4. thus,
4(n+3.2) = n - 1.4
Hence, the line four times the sum of 3.2 and a number is the number less 1.4 can be expressed as 4(n+3.2) = n-1.4.
Learn more about Expression:
https://brainly.com/question/13947055
Answer:
the answer is 4(3.2+n)= n- 1.4
Step-by-step explanation:
took the quiz made a 100
In basketball, some baskets are worth two points. Others are worth three points. In one game, the ratio of three-point baskets to three-point tries for one team was 3 : 4. If the team scored 27 points from three-point baskets, how many three-point tries did the team have?
The number of three-point tries is 36.
What are ratios?Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
What is the number of three point tries?The first step is to determine the total number of tries and baskets: (27 X 7)/3 = 63
Number of three-point tries = (4/7) x 63 = 36
To learn more about ratios, please check: https://brainly.com/question/25927869
1) If the price of 3pens , 2 pencils and 4 erasers is 92. The price 16 Erasers and the price of 8 pencils is 68 then the the price of 24 pens is
Ruby has a pulse rate of 73 beats per minute and a blood pressure of 121 over 85. If ruby’s blood pressure can be modelled by a sinusoidal function, find an equation of this sinusoid.
The blood pressure of Ruby is modelled by following sinusoidal equation: [tex]y = 103 +18\cdot \sin (146\pi\cdot t)[/tex].
How to model blood pressure by sinusoidal functionsA sinusoidal function is represented by following model:
[tex]y = 0.5\cdot (y_{min}+y_{max}) + 0.5\cdot (y_{max}-y_{min})\cdot \sin (2\pi\cdot f\cdot t)[/tex] (1)
Where:
[tex]y_{min}[/tex] - Minimal blood pressure[tex]y_{max}[/tex] - Maximal blood pressure[tex]f[/tex] - Frequency, in beats per minute[tex]t[/tex] - Time, in minutesIf we know that [tex]y_{min} = 85[/tex], [tex]y_{max} = 121[/tex] and [tex]f = 73[/tex], then the sinusoidal formula for blood pressure is:
[tex]y = 103 +18\cdot \sin (146\pi\cdot t)[/tex] (2)
The blood pressure of Ruby is modelled by following sinusoidal equation: [tex]y = 103 +18\cdot \sin (146\pi\cdot t)[/tex]. [tex]\blacksquare[/tex]
To learn more on sinusoidal functions, we kindly invite to check this verified question: https://brainly.com/question/12078395
For what value of y does 125 = (StartFraction 1 Over 25 EndFraction) Superscript y minus 1? Negative five-halves –2 –1 Negative one-half.
Answer:
D. -1/2
Step-by-step explanation:
First to rewrite the equation in numbers
[tex]125=\frac{1}{25}^{y-1}[/tex]
First, we need to find what exponent would get 1/25 to 125.
[tex]\frac{1}{25}^{y}=125[/tex]
Sense 1/25 is a fraction we must use a negative exponent to make it a whole number. We can just find what exponent would get 25 to 125 then make it negative. 1 wouldn't be enough and 2 would be too much so y is between 1 and 2 into negative is between -1 and -2. Sense the original equation has (y-1) the only option you can subtract 1 from to get between -1 and -2 is -1/2 which would give -1 1/2.
Answer:
Keep it simple: D or -1/2
Step-by-step explanation:
A total of 25 students are in German classes. there are 15 students in a beginner German class
Part A What percent of the total students in German classes are in the beginner class?
Part B Explain how you used proportion to find your answer
Answer:
60%
Step-by-step explanation:
You divide 15 by 25 and you get your decimal, which you multiply by 100 to get your percent.
A side of the triangle below has been extended to form an exterior angle of 133°. Find the value of x????????
An exterior angle is equal to the sum of the two opposite inside angles:
x = 133 - 118 = 15 degrees
Answer: x = 15
Answer:
15 because 133=x-118 I hope it helps
What is the magnitude (size) of 3.7?
Answer:
A)
Step-by-step explanation:
|3.7| = 3.7
Gerald has three shirts (blue, white, and grey), four pairs of pants (black, light grey, dark grey, and blue), and three ties (orange, blue, and black). How many different outfits that include one shirt, one pair of pants, and one tie can Gerald make?
Answer:
36
Step-by-step explanation:
By the Fundamental Counting Principle, if there are x ways to choose one thing, y ways to choose another thing, and z ways to choose another thing, then there are x*y*z possible combinations of all of those things.
Here, there are 3 ways to choose a shift, 4 ways to choose a pair of pants, and 3 ways to choose a tie. Therefore, there are 3*4*3 = 36 different outfits that Gerald can make that include one shirt, pair of pants, and tie.
Kaylen's father invests $8,000 in a savings account that earns 5% interest. Assuming that Kaylen's Father does not deposit or withdraw money over the next 2 years, how much interest will he earn?
Answer:
$1,000 interest
Step-by-step explanation:
turn 5% to 0.5
multiply 8,000 times 0.50
How many times greater is the value of the 6 in 618,923 than the 6 in 27,657
Answer:
600,000 times greater
Step-by-step explanation:
hope this helped and good luck :}
Answer: 1000 times greater
Step-by-step explanation: the 6 in 618,923 has a value of 600,000 where as in 27,657 it only has a value of 600
Look at where the six positioned, in the tens column, hundreds column or thousands column?
Which relationships describe angles 1 and 2?
Select each correct answer.
adjacent angles
complementary angles
vertical angles
supplementary angles
Answer:
supplementary angles
Step-by-step explanation:
they are on the same line, so they sum up to 180°
help needed thanks it greatly appretiated
c is the correct answer of this question
[tex] \huge \boxed{ \tt option \: c}[/tex]
Step-by-step explanation:[tex] \sf \dfrac{15 x{y}^{2} }{15 {x}^{11} {y}^{15} } [/tex]
[tex] \\ \\ [/tex]
[tex] \to \sf \dfrac{15 x {}^{0} {y}^{0} }{15 {x}^{11 - 1} {y}^{15 - 2} } [/tex]
[tex] \\ \\ [/tex]
[tex] \to \sf \dfrac{15 \times 1 \times 1 }{15 {x}^{11 - 1} {y}^{15 - 2} } [/tex]
[tex] \\ \\ [/tex]
[tex] \to \sf \dfrac{15 \times 1 \times 1 }{15 {x}^{10} {y}^{13} } [/tex]
[tex] \\ \\ [/tex]
[tex] \to \sf \dfrac{ \cancel{15 } \times 1 \times 1 }{ \cancel{15} {x}^{10} {y}^{13} } [/tex]
[tex] \\ \\ [/tex]
[tex] \to \sf \dfrac{ 1 }{ {x}^{10} {y}^{13} } [/tex]
Help please. I don't know how to do this.
Answer:
it is quite simple it's just that you need to substitute the input in place of x
eg:if the input is 2 then 2(3(2)+4) = 20 and 20 is the output
The inverse of G(x) is a function.
Answer:
False
Step-by-step explanation:
In order for the inverse of a relation to be a function, it must pass the horizontal line test. That is, a horizontal line cannot intersect the graph in more than one place. Here, the x-axis intersects the graph of G(x) in 3 places, so the inverse of G(x) is not a function.
PLEASE HELP ME I WILL MARK IF RIGHT
Step-by-step explanation:
the small and the large triangles are similar triangles.
they have the same angles. and the corresponding sides correlate to each other with the same ratio for every pair of sides.
so,
28 / 82 = (2x + 8) / ((2x + 8) + (5x -4)) =
= (2x + 8) / (7x + 4)
(7x + 4)×28 = (2x + 8)×82
196x + 112 = 164x + 656
32x = 544
x = 17
Given cos 8 = and angle 6 is in Quadrant IV, what is the exact value of sin 0 in
simplest form? Simplify all radicals if needed.
cos0 = √3/2
1 - cos²0 = sin²0
= 1/4 = sin²0
sin in quadrant 4 is negative
sin0 = -1/2
Please Help!! My area can be represented by the expression x^2. What special polygon am I?
Show your work
Answer:
it is a rhombus
Step-by-step explanation:
only because if you do the division and multiply the ploynomials the circumfrance is an easy 2 which can be added to 3 but subtract the 1 making it part of the photosynthesis and can lead to bigger things such as a RHOMBUS
WHAT NUMBER SHOULD REPLACE THE QUESTION MARK?
ANSWER ONLY IN DIGITS
Answer:
38 or 36 if there's options
Step-by-step explanation:
angles of a quadrilateral are y,2y,3y+20 and 4y+30 . find each angle if the sum of the angles of a quadrilateral is 360°
Answer:
31° , 62° , 113° , 154°
Step-by-step explanation:
sum the 4 angles and equate to 360
y + 2y + 3y + 20 + 4y + 30 = 360 , that is
10y + 50 = 360 ( subtract 50 from both sides )
10y = 310 ( divide both sides by 10 )
y = 31
2y = 2(31) = 62
3y + 20 = 3(31) + 20 = 93 + 20 = 113
4y + 30 = 4(31) + 30 = 124 + 30 = 154
the 4 angles are 31° , 62° , 113° , 154°