Answer:
A)[tex]^{28}P_4}=491400[/tex]
Step-by-step explanation:
Total number of members = 28
We are supposed to find the no. of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members
When 1 member is selected for Chairman position
So, 27 members will be left for the selection for the position of Vice chairman
When 1 member out of 27 is selected for Vice chairman position
So,26 members will be left for the selection for the position of secretary
When 1 member out of 26 is selected for secretary position
So,25 members will be left for the selection for the position of treasurer
Permutation relates to the act of arranging all the members of a set into some sequence or order,
The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter.
So, we will use permutation over here
Formula [tex]^nP_r=\frac{n}{(n-r)!}[/tex]
Substitute n = 28 and r = 4
So,[tex]^{28}P_4=\frac{28!}{(28-4)!}=491400[/tex]
So, Option A is true
A)[tex]^{28}P_4}=491400[/tex]
Hence There are 491400 ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members.
The number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.
The given parameters
Number of members = 28 Number of positions = 4Total arrangement of the different positions available[tex]nP_r =\frac{n!}{(n- r)!}[/tex]
[tex]28 P4 = \frac{28!}{(28-4)!} = \frac{28!}{24!} = 491,400[/tex]
Thus, the number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.
Learn more about permutation here: https://brainly.com/question/3086912
will mark bianleast plz asap
What is the mode of the data set?
Line plot titled Books Read with 0 - 3 dots, 1 - 2 dots, 2 - 7 dots, 3- 6 dots, 4 - 4 dots, 5 - 2 dots, 6 - 1 dot.
Six books
Two books
Four books
Three books
Answer:
2 books
Step-by-step explanation:
The mode is the one that is most frequent, and reading 2 books during the summer is the most frequent thing to do in this diagram as it has been performed the most times.
Hope this helps!
treviglaslibrary
what are the values of the coefficents and constant term of 0= 4-7x^2
a=
b=
c=
Answer:
a = -7
b = 0
c = 4
Step-by-step explanation:
Please help me quick!!!!!!!!!!!!!!!!!
Answer:
a. Yes, the evidence supports the hypothesis
Step-by-step explanation:
The evidence supports the hypothesis because it say that "the GREATER the HEIGHT from which you drop a ball ,the FASTER the ball will be traveling when it hits the ground because of gravity and you claimed that the ball dropped from a height of 6 feet has a higher speed than a ball dropped from a height of 3 feet. hope this help! :D
The mathematical sentence 2x + 1 = x + 5 is a/an ______. Is it an inequality or an equation.
It's an equation.
(Btw i luv your profile pic :))
Answer:
It's an equation.
Step-by-step explanation:
[tex]2x + 1 = x + 5 \\ \: \: is \: \: \: \: an \: \: \: \: equation[/tex]
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value
for an example,
[tex]4 < 6[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which is a possible turning point for the continuous
function f(x)?
HELP ASAP
Answer: B. (-2, -1)
Step-by-step explanation:
(-2, -1) has a y-coordinate (-1) closer to 0 than the rest of the y-coordinates. And 0 would be turning point in this equation.
Answer:
b
Step-by-step explanation:
8(y^0) + (-7)(y^0)=________
Answer:
1
Step-by-step explanation:
8(y^0) + (-7)(y^0)
Remove parentheses: (a)=a
= 8[tex]y^{0}[/tex]-7[tex]y^{0}[/tex]
Add similar elements: 8[tex]y^{0}[/tex]-7[tex]y^{0}[/tex]= [tex]y^{0}[/tex]
= [tex]y^{0}[/tex]
Apply rule [tex]a^{0}[/tex] = 1, [tex]\alpha \neq 0[/tex]
= 1
A right cylinder has a diameter of 40 mm in a high of 30 mm as soon what is the volume of the cylinders
________________________________
Hey!!
Solution,
Diameter=40 mm
Radius=40/2=20mm
Height=30mm
Volume of cylinder=?
Now,
Volume of cylinder=pi (r)^2 h
= 3.14*(20)^2*30
=3.14*400*30
=37,680 mm^3
So the right answer is of option A
hope it helps
Good luck on your assignment
__________________________________
Answer:
37,680 mm3
Steps:
Formula: Volume = Area * height
1: = (pi/4)*D^2 * h
2: = (pi/4)*(40)^2 * 30
3: = 37,680 mm3
Description:
We know that r is the radius and h is the height. So the
radius of the cylinder going to be r=40/2=20mm
Height of cylinder: 30mm
Meaning when you add up all the numbers answer will come as 37,680 mm3. So a is the right answer for this question.
Answer: A. 37,680 mm3
Please mark brainliest
Hope this helps.
Which of the following is a TRUE statement about the triangle below?
Answer:
it is an acute triangle
Step-by-step explanation:
angle M is 180 - 44 - 77 = 59
since all angles are less than 90 degree, thus is an acute triangle
A beaker is completely filled with water
A ball in the shape of a sphere with radius 4 centimeters is placed in the beaker and is completely submerged, causing the volume of water equal to the ball’s volume to overflow.
All of the water that overflows is collected in a funnel in the shape of a cone.
When the funnel is held vertically, the surface of the water collected forms a circle of radius 4 centimeters.
What is the height of the cone formed by the water in the funnel?
Round your answer to the nearest inch.
Answer:6.3 in.
Step-by-step explanation:
Given
Radius of sphere [tex]r=4\ cm[/tex]
When ball is immersed in beaker, it causes the water to flowout of beaker which is collected in the conical vessel
Such that amount of water equivalent to sphere volume is collected in it.
volume of ball
[tex]V_s=\frac{4\pi }{3}r^3[/tex]
[tex]V_s=\frac{4\pi }{3}\times 4^3[/tex]
[tex]V_s=\frac{256\pi }{3}\ cm^3[/tex]
Now volume of water collected is in shape of cone then volume of cone
[tex]V_c=\frac{\pi }{3}r^2h[/tex]
and [tex]V_s=V_c[/tex]
[tex]\frac{256\pi }{3}=\frac{\pi }{3}(4)^2\times h\ quad [\text{h=height of cone formed}][/tex]
[tex]h=4^2=16\ cm\approx 6.29\approx 6.3\ in.[/tex]
Which line has a y-intercept of –2?a)
both ℓ and t
b)
t
c)
ℓ
d)
p
Answer:
P
Step-by-step explanation:
It passes through -2 on the y-axis
HOPE THIS HELPS! (:
A headteacher wants to survey two Year 7 students. There are 100 students in Year 7. How many possible pairs of students can the headteacher pick?
Answer:
100 divided by 40 is 14
Step-by-step explanation:
just dived 100 by 40 is 14 then add 7 to 14 they give you 21
Mrs. Burgess, Mrs. Curry, Ms. Davis and Mrs.
Stowers went to lunch this weekend. The lunch
total was $81.20. How much does each person
owe if they split it evenly?
Answer:
$20.30
Step-by-step explanation:
There are 4 people so 81.20/4 = 20.30
Answer: $20.30
Step-by-step explanation:
There are 4 people and so you need to divide the cost by the amount of people to see what each person owes
Helpppppppp. Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has no oil and the test shows that it has oil? A. 0.09 B. 0.11 C. 0.36 D. 0.44
Answer:
Jason Inherit a land with a 45% chance of having oil.
Step-by-step explanation:
The probability of the land having oil is = P ( O) = 45 /100
The probability of the land having oil is= Q(O ) =55/100
The machine has an accuracy of 80%. This suggests that 8 out of 10 times the machine will give a wrong reading.
The probability of the correct reading is= P(M)=80/100
The probability of the incorrect reading is=Q(M)=20/100
The case when the machine predicts there is no oil and there is indeed oil can be calculated:Probability=Probability of oil present × probability of the incorrect reading
Probability=P(O) x Q(M)
Probability=45/100 x 20/100
Probability=9/100
The probability of the test predicting no oil in land and the land has oil is 0.09 or 9%
What is the surface area of the cube below?
5 m
5 m
5 m
150 m 2
125 m 2
50 m 2
25 m 2
Answesr:
À
Step-by-step explanation:
A cube has faces of equal measurements so u multiply the area of one face with 6
(5×5)6=150
Answer:
150 m 2
A
Step-by-step explanation:
Help with homework! Basic area question.
Answer:
254.502
Step-by-step explanation:
IF THE "SHADED AREA" MEANS THE CIRCLE, THEN THIS IS THE ANSWER! Whenever you need to find the area of a circle, you always have to multiply pi by the second power of your radius. The radius is just have of the diamater of the circle, which--in this case--is 18. So the radius of this circle would be 9 and the problem would be: A = pi x 9 to the second power. Although since your teacher said that pi was not in fact 3.14159 etc, and instead 3.142, you have to multiply 3.142 times the second power of 9, and you get 254.502. Hope this helped!
Answer:
i believe the answer is: 69.498 cm
Step-by-step explanation:
Please help. i am being timed
Answer:
About 2.38 square feet of extra fabric: 1.25 of dark blue and 1.13 of light blue
Need $13.75 to complete template for white fabric
Step-by-step explanation:
Template requires 18 square feet of white, 20 square feet of light blue and 21 square feet of dark blue.
She has more than enough for both shades of blue fabric.
She needs 5.85 square feet more of white fabric
Since it is $2.35 per square feet of white fabric, 2.35 * 5.85 = $13.75.
It will cost her $13.75 for more white fabric
Hope this helps!
Please help me i dont understand this lol thank you
Answer:
Positive Correlation
Step-by-step explanation:
The Points on the graph are increasing upward, which would make this a positive correlation.
What is the constant in 15-8y
A 15
B 8
C-8
D -15
What is the mode of this data set: 17, 13, 18, 20, 17, 15, 12
A. 19
B. 17
The mode is the most frequent or most occurring value. The value 17 shows up the most times, at two times, so this is the mode. The value 19 is not even part of the given set of values, so you can immediately cross of choice A.
Side note: it is possible for a set to have more than one mode, and it's also possible to not have a mode at all.
Answer:
17
Step-by-step explanation:
It's the only number that repeats and I also took the test :)
Simplify the expression:
3x (4x-6)
—————
2x(3x)
Answer:
[tex]=\frac{2x-3}{x}[/tex]
Step-by-step explanation:
[tex]=6x^2\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{3x\left(4x-6\right)}{2x\cdot \:3x}\\2x\cdot \:3x=6x^2\\=\frac{3x\left(4x-6\right)}{6x^2}\\\mathrm{Cancel\:}\frac{3x\left(4x-6\right)}{6x^2}:\quad \frac{4x-6}{2x}\\=\frac{4x-6}{2x}\\\mathrm{Factor}\:4x-6:\quad 2\left(2x-3\right)\\=\frac{2\left(2x-3\right)}{2x}\\\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1\\=\frac{2x-3}{x}[/tex]
A triangle has angle measurements of 36°, 90°, and 54°. What kind of triangle is it?
A. acute B. right C. obtuse
Answer:
Right
Step-by-step explanation:
when a triangle has a 90 degree angle it is always right
Answer:
right angle triangle
Step-by-step explanation:
triangle consists of 90° causing it to be right angledPLEASE HURRY I DONT KNOW THE ANSWER
Answer:
20
Step-by-step explanation:
We can use similar triangles
12/3 = x/5
x = 20
Answer:
VS = 20
Step-by-step explanation:
ST/SV = RT/QV
SV = ST×QV/RT
= 12×5/3
= 60/3
= 20
If one side of a right triangle is 12 feet long and the hypotenuse of the triangle is 7, find the length of the other side of the right triangle. Round to the nearest hundredth.
I might give you a brainliest if your answer is correct and you have a good explanation.
Answer:
9.74 feet
Step-by-step explanation:
the formula for finding a hypotenuse is [tex]a^{2} + b^{2} = c^{2}[/tex]. We can rearrange that to get: [tex]c^2 - b^2 = a^2[/tex]. So: 49 + b^2 = 144. We get the square root of 95, AKA around 9.74.
The equation of the line of best fit is y = 10x + 40. What does the y-intercept represent?
A.
the total number of questions on the test
B.
the average number of hours the students spent studying
C.
the total number of hours the students spent studying
D.
the test score of a student who did not study
Answer: D
Step-by-step explanation:
For a student who did not study for the test you will still score 40 on the test by using you own knowledge.
Solve the following equation for x.
7x-3y=-13
Answer:
x = 3/7y - 13/7
Step-by-step explanation:
7x-3y=-13
+3y +3y Add 3y to both sides
7x = 3y - 13 Divide both sides by 7
x = 3/7y - 13/7
PLS HELP!! IT"S DUE SOON! An iron bar that weighs 2 1/4 lb. is cut into smaller bars that weigh 6 ounces each. How many smaller bars are there?
Answer:
There are 6 smaller bars
What is the equation, in slope-intercept form, of the line that is perpendicular to the line
y-4 = -(x - 6) and passes through the point (-2, -2)?
o y = x - 10
0 y = x + 10
o y = 2 X-1
O y = x + 1
Answer:
I think it is c
Step-by-step explanation:
I just worked it out but I am not sure if I am 100% right.
hope this helped at all!!!
Answer:
y = 3/2x - 1
Step-by-step explanation:
Slope intercept form = y = mx + b
m = slope of the line = -2/3
y = -2/3x + b
Plug in (-2, -2) and the perpendicular line is
y = 3/2x - 1
You are welcome and don't for get to click THANKS
The number 16 has two square roots: 4 and _
Answer:
4
Step-by-step explanation:
4 times 4 = 16
Answer:
sqrt(16) = +4 and -4
Step-by-step explanation:
A square root has a positive and a negative square root
sqrt(16) = +4 and -4
When the transformation T, -, is performed on
point A, its image is point A'(-3,4). What are the
coordinates of A?
1) (5,-5)
2) (-5,5)
3) (-1,3)
4) (-6,-4)
PLEASE SOLVE THE FOLLOWING PROBLEM! IT'S SUPER EASY! |2x−3| =5
Answer:
We can split this into 2 "cases": 2x - 3 = 5 and 2x - 3 = -5 because you can find the absolute value of negative numbers as well. Solving the two cases we get x = 4, -1.
Answer:
4, -1
Step-by-step explanation:
2x-3=5
x=4
2x-3=-5
x=-1