Answer:
116280
Step-by-step explanation:
n=20
r=4
nPr
20P4 = 116280
The students can be chosen in 116280 different ways to be elected as president, vice president, treasurer and secretary.
What is permutation?"It is a mathematical calculation of the number of ways a particular set can be arranged, where the order of the arrangement matters."
Formula of permutation:The number of ways of obtaining an ordered set of 'r' elements from a set of 'n' elements.
[tex]^{n}P_r=\frac{n!}{(n-r)!}[/tex]
For given example,
there are 20 students in a homeroom
⇒ n = 20
Students can be elected president, vice president, treasurer and secretary.
⇒ r = 4
So, using the formula of permutation, the number of different ways they can be chosen to be elected president, vice president, treasurer and secretary would be,
[tex]\Rightarrow ^{n}P_r=\frac{n!}{(n-r)!} \\\\\Rightarrow ^{20}P_4=\frac{20!}{(20-4)!} \\\\\Rightarrow ^{20}P_4=\bold{116280}[/tex]
Therefore, these 20 students can be chosen in 116280 different ways to be elected as president, vice president, treasurer and secretary.
Learn more about permutation here:
https://brainly.com/question/1216161
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You draw 2 diameters through the center of the circle. The 2 diameters must be perpendicular. The vertexes of the square are the 4 points where the diameters meet the circles.
Answer:
square
(ii) If the diameters are perpendicular to each other, then by joining the ends of two diameters, we get a square.
2 x [(29-6)-[(6+5)]
please show work!
Answer:
Not sure, read steps.
Step-by-step explanation:
First do the ()
29 - 6 = 23
6 + 5 = 11
SUBTRACT THE INTEGERS:
23 - 11 = 12
So, 2 x 12 = 24.
What is the mode of the numbers 7 3 4 2
Answer:
mode is the highest occuring number
7342 none of the numbers appeared twice
: 7 is the highest occuring number
Please answer this math question for me
Answer:
D=90° E=103° F=77°
Step-by-step explanation:
D+90°=180°
D=90°
F+103°=180°
F=77°
E + F=180°
E=103°
A parallelogram has a base of 18 inches and an area of 405 square inches. What is the height of the
parallelogram?
A:45 inches
B:11.25 inches
C:22.5 inches
D:Not Here
Answer:
the answer isn't there; the answer is 2.5
Step-by-step explanation:
What is the value of the expression -9 x 2.2?
Would you rather have to use chopsticks every day for the rest of your life or use a fork?
After Luca took his dogs for a walk, he gave them 6 dog treats. When Luca's dad got home from work, he gave
the dogs t more treats. All together that day, Luca's dogs got 10 dog treats,
Write an equation to describe this situation.
How many dog treats did Luca's dad give the dogs?
Answer:
Step-by-step explanation:am
Luca gave them 6 treats.
His father gave them t (unknown) treats.
All together, they got 10 treats.
This would be the equation:
[tex]6+t=10[/tex]
To solve, subtract 6 from each side.
[tex]6-6+t=10-6\\t=4[/tex]
Therefore, Luca's father gave the dogs 4 treats.
please please helppp!!
Answer:
Step-by-step explanation:
Here we want the side length of x, which is adjacent to the angle 31 degrees. Cosine is the ratio we want because it is adj/hypotenuse.
Here's our basic equation:
cos31=x/17
or
17 * cos31=x
Put this into the calculator and you get around 15.6
3. Which expression is equivalent to 603 + 8.72 - 150 - 20?
Answer:
4x(3y+1)
Step-by-step explanation:
On a unit circle, the terminal point of Theta is
(Sqrt2/2, sqrt2/2). What is theta
A.
Pi/6
B.
Pi/3
C.
Pi/4
D.
Pi/2
Answer:
C. [tex] \frac{\pi}{4} [/tex]
Step-by-step explanation:
[tex]terminal \: point \: of \: \theta = \bigg( \frac{ \sqrt{2} }{2}, \: \: \frac{ \sqrt{2} }{2} \bigg) \\ \\ \implies \: (x, \: \: y) = \bigg( \frac{ \sqrt{2} }{2} \: \: \frac{ \sqrt{2} }{2} \bigg) \\ \\ \implies \: x = \frac{ \sqrt{2} }{2}, \: \: y = \frac{ \sqrt{2} }{2} \\ \\ \because \tan \theta = \frac{y}{x} \\ \\ \therefore \tan \theta = \frac{ \frac{ \sqrt{2} }{2} }{ \frac{ \sqrt{2} }{2} } \\ \\\therefore \tan \theta =1 \\ \\ \implies \tan \theta =\tan \bigg( \frac{\pi}{4} \bigg) \\ \\ \implies \: \theta \: = \frac{\pi}{4} [/tex]
help pleaseee due tomorrow!?!!
There is a 25% chance that Dane will make a three-point shot during a basketball game. A random-number generator generated 10 sets of random numbers from 1 to 4. The number 3 represents Dane's making a three-point shot. Look at the table.
Answer:
the 25% chance is wrong, it is actually 20%
Step-by-step explanation:
Based on the table of trials shown in the picture, it seems that the 25% chance is wrong. In the table, there are 10 trials and each one has 5 numbers generated, meaning there are a total of 50 numbers generated. Out of these 50 numbers, only 10 are the number 3. Since 3 is the only number that represents a three-point shot, that would make it a 20% (10 / 50) chance that Dane makes a three-point shot in a basketball game.
A racetrack judge recorded the lap times 5 racecars and compared them to the historical average lap time of the track.which lists the value in the table from least to greatest?
Answer:
A -1.1
B -0.7
C -0.57
D 0.15
E 1.3
Step-by-step explanation:
Rebecca asked the people in her homeroom class what their favorite type of pizza was. If 18
out of 25 people said pepperoni, how many people would you expect to choose pepperoni
out of 350 people?
Please help! I will give Brainliest!
Answer:
option a..........
Step-by-step explanation:
.................
Answer:
a
Step-by-step explanation:
First, find the probability that you will pull a yellow marble. There are 9 yellow marbles and 22 total, so the probability is 9/22. Then, find the probability that you will pull a green marble. There are 7 green out of 22 so the probability is 7/22. To find the probability of both, multiply them.
9/22 * 7/22 is 63/484
Can someone please help me find the area for this thank you so much I really appreciate it
Answer:
19 is the area for the problem
Gym A charges a $25 annual membership fee plus $5 each time the person uses the gym.
Gym B charges a $10 annual membership fee plus $10 each time a person uses the gym.
When is the cost of both membership the same?
Answer:
When a member uses a gym 3 times
Step-by-step explanation:
could you help me? how do i relate y to x and whats the answer to the bottom question?
Each time x goes up by 5, y decreases by 4
We can say the slope is
slope = rise/run
slope = (change in y)/(change in x)
slope = (-4)/(5)
slope = -0.8
The y intercept is 62 because this is the starting y value. The y intercept always occurs when x = 0.
Because the slope is m = -0.8 and the y intercept is b = 62, we go from y = mx+b to y = -0.8x+62
Therefore, the equation is y = -0.8x+62
This is the same as saying y = (-4/5)x+62 since -4/5 = -0.8
-------------------------
Interpretation:
The slope of -0.8 means that the height drops or decreases by 0.8 thousand feet per minute. Recall that y is in thousands. The phrasing "0.8 thousand" is probably better suited to call this 800 since 0.8*1000 = 800.
So it's probably easier to say "the height drops by 800 feet per minute".
As mentioned earlier, the y intercept is the starting height. The table shows x = 0 pair up with y = 62. Therefore, the starting altitude is 62,000 feet. After this point is when the UAV starts its descent.
Put another way: The cruising altitude was 62,000 feet and afterward the aircraft started its descent.
Need help!!
will give brainlist
MULTIPLE CHOICE PLS HELP! (Links = report)
Answer:
Option 1.
3,619.1 m^3
Step-by-step explanation:
Mark as brainliest if this helped :D
PLEASE HELP WILL MAKE BRAINLIEST!
The following cone has a height of 4 inches and a volume of 12π. What is the radius of the cone? Enter your answer as the correct value, rounded to the nearest tenth if necessary.
Answer:
R= 1.69
Step-by-step explanation:
For this, you just have to remember that the volume of a cone is 1/3hπr² (1/3 times pi times the radius squared). Our volume is 12π, so we plug in 12π into our formula, as well as our height of 4 inches, to solve for the radius, like so:
12π=(1/3)(4)πr²
Now we just do the rest of the math.
12π=(1/3)(4)πr²
12=(1/3)(4)r² (divide both sides by π)
3=1/3r² (divide both sides by 4)
9=r² (divide both sides by 1/3)
3=r (take the square root of both sides).
Therefore, the radius of the cone is 3.
If a polygon is drawn inside a circle we say that the
a.polygon is tangent to the circle
b. Circle is inscribed in the polygon
c. polygon circumscribes the circle
d. circle circumscribes the polygon
Answer:
D.
Step-by-step explanation:
I'm just gonna type random things because the answer needs to be 20 letters long.
Helpppppppp plssssss
Answer:
16
Step-by-step explanation:
one side is four the other is four 4x4 is 16
Answer:
8
Step-by-step explanation:
Since its 1/2 cm per cube, each side is 4 cubes, 4x1/2 = 2. 2x2x2 = 8
What is the perimeter of the following figure?
Answer:
13.4 x 2 = 26.8
12.5
HYPOTENUSE:
10^2 + 12.5^2 = 256.25
Square root of 256.25 = around 16
which would equal 256
16 is your hypotenuse.
26.8 + 12.5 + 16 = 55.3 is your perimeter
What is the slope of the line that
passes through these two points?
(1, 2)
(2,8)
Remember, given two points.
(X1. yı) rise (y2-yı)
Slope =
(X2- y2) "run (x2-x1)
Simplify your answer completely.
Enter
Answer:
The value of the slope is 6
Step-by-step explanation:
To get the slope of the line, we are going to make use of the slope equation
Mathematically, we have this as;
m = (y2-y1)/(x2-x1)
where (x1,y1) = (1,2) and (x2,y2) = (2,8)
Substituting these values;
m = (8-2)/(2-1) = 6/1 = 6
maria is renting kayaks from a local shop that charges a 10$ fee plus an hourly rate of 7.50 for how long can maria rent the kayak if she only pays a total of 70$
Answer: Let Maria can rent the kayak for x hours. Thus, Maria can rent the kayak for 8 hours.
Step-by-step explanation:
The Stem-and-Leaf Plot and Box-and-Whisker Plot show the monthly temperatures for a city over the course of a year.
Which graph can be used to find the mode? What is the mode?
A
Stem-and-Leaf Plot, Mode: 78
B
Stem-and-Leaf Plot, Mode: 80
C
Box-and-Whisker Plot, Mode: 78
D
Box-and-Whisker Plot, Mode: 58.25
Answer:
It's A.
Step-by-step explanation:
I got it right
Find the value of x. I need some help
i dont know what it is i can barley see
Answer:
Step-by-step explanation:
For number 1: They are alternate interior angles, so you can set them equal to each other and find the answer that way. The pic is a bit blurry, but I think it's 4x=136, which is simplified to x=34.
For number 2: These are supplementary angles, which means that they add up to 180. 180-125 is 55, which means that 3x+1=55. Simplifying that, x=18.
Number 3: Once again alternate interior angles, which means that 53=x-11. Simplify that and you get x=64
Number 4: These are same side interior angles, and they are supplementary/add up to 180. x+12+110=180. Solved: x=58
Number 5: Same side interior angles. I cant make out the exact numbers on the picture, but basically you add them together and set that equal to 180, then solve like i did above.
Number 6: Alternate interior, so just set them equal to eachother and solve.
Number 7: Same side interior, so add them and set the whole thing equal to 180 like in number 4. Answer: x=10
Number 8: Alternate interior, so just set them equal to eachother. Answer: x=20
Hopefully this helped you understand better, have a great day!
PLZZZ HELP!! Which expressions are equivalent to -6+4q+(-6q) Choose all answers that apply:
Answer: IT IS: A
Step-by-step explanation:
math duh
Answer:
the answer : None of them above
Step-by-step explanation:
the true answer is -6-2q
