Answer:
the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]
and 2730 different ways are possible.
Step-by-step explanation:
In the given question we have to choose a president, vice
president, and secretary.
Permutations are used when order is important so, as in the given question order is required. We would use permutations
The formula used is: [tex]^nP_r=\frac{n!}{(n-r)!}[/tex] where:
n=total number of objects
r=number of objects selected
In our case: n=15, r=3
Putting values and finding the answer:
[tex]^nP_r\\^{15}P_3=\frac{15!}{(15-3)!} =2730 \ ways[/tex]
So, the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]
and 2730 different ways are possible.
what percent of students have played an instrument for 3 years ?
(round tenths)
please help
Answer:
%22.2
Step-by-step explanation:
divide 123 by 13 with remainder
Answer:
9 Remainder 6
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 13 on the left side and the dividend 123 on the right side like this:
1 3 ⟌ 1 2 3
Step 2:
The divisor (13) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
1 3 ⟌ 1 2 3
Step 3:
Multiply the divisor by the result in the previous step (13 x 0 = 0) and write that answer below the dividend.
0
1 3 ⟌ 1 2 3
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
1 3 ⟌ 1 2 3
- 0
1
Step 5:
Move down the 2nd digit of the dividend (2) like this:
0
1 3 ⟌ 1 2 3
- 0
1 2
Step 6:
The divisor (13) goes into the bottom number (12), 0 time(s). Therefore, put 0 on top:
0 0
1 3 ⟌ 1 2 3
- 0
1 2
Step 7:
Multiply the divisor by the result in the previous step (13 x 0 = 0) and write that answer at the bottom:
0 0
1 3 ⟌ 1 2 3
- 0
1 2
0
Step 8:
Subtract the result in the previous step from the number written above it. (12 - 0 = 12) and write the answer at the bottom.
0 0
1 3 ⟌ 1 2 3
- 0
1 2
- 0
1 2
Step 9:
Move down the last digit of the dividend (3) like this:
0 0
1 3 ⟌ 1 2 3
- 0
1 2
- 0
1 2 3
Step 10:
The divisor (13) goes into the bottom number (123), 9 time(s). Therefore put 9 on top:
0 0 9
1 3 ⟌ 1 2 3
- 0
1 2
- 0
1 2 3
Step 11:
Multiply the divisor by the result in the previous step (13 x 9 = 117) and write the answer at the bottom:
0 0 9
1 3 ⟌ 1 2 3
- 0
1 2
- 0
1 2 3
1 1 7
Step 12:
Subtract the result in the previous step from the number written above it. (123 - 117 = 6) and write the answer at the bottom.
0 0 9
1 3 ⟌ 1 2 3
- 0
1 2
- 0
1 2 3
- 1 1 7
6
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 123 divided by 13 calculated using Long Division is:
**
Please help me out I’m giving you more points! This is really important ❤️ and I’m confused please :))) thank you so very much
Answer: A,C
Step-by-step explanation: They are facing each other making them interior angles
How to Experiment Well
Assignment
Active
Assigning Treatment Groups
A beauty product company conducts a study to test the effectiveness of a new shampoo to control split ends. One
hundred subjects have volunteered to take part in the study, and will be split into a treatment group and a placebo
group. The study leader will assign the subjects to the groups randomly using slips of paper. Which reason identifies
why randomization is important?
It is important to make sure that groups have 50 people each.
It is important to make sure that the first 50 people to volunteer are not all in the same group.
It is important to make sure that people who do not currently have many split ends are placed in the placebo
group.
It is important that subject characteristics such as hair length, hair color, and gender are distributed equally
among the treatment groups.
Answer:
D: It is important that subject characteristics such as hair length, hair color, and gender are distributed equally among the treatment groups.
Is correct
=================
The answer for the question after is 50, which should be similar to the same question here.
=================
ED2021
Plzzzz helppppp meeeeee
Answer:
The answer is 12.
Explanation:
The bottom is seconds, and on the left side it is feet.
Look at the bottom and find the number 1.5.
Stop there on the line and move up until you hit the dark blue line.
It stops at 12. So that is your answer.
I hope this helps! Have a nice day!
Solve for the value of x.
Answer:
X=63
Step-by-step explanation:
180-134=46
since the sides are same, the angles are 67.
x+4=67
x=63
Does this table represent a function? Why or why not?
Hours of
Training
10
20
30
40
Monthly
Pay
1220
1420
1620
1820
2020
2220
2420
50
60
70
1. A professional basketball used for league play has a diameter of 25 cm. Which of the following is closest to the volume of the basketball in cubic centimeters?
Answer:
V = 8,181.23 [tex]cm^{3}[/tex]
Step-by-step explanation:
Unfortunately, we are not given any answer choices to choose from but using the information provided we can find the actual volume of the basketball. A basketball is made in the shape of a sphere and the formula for the volume of a sphere is the following...
V = [tex]\frac{4}{3} * \pi * r^{3}[/tex]
radius of a circle/sphere is half of it's diameter. Since we are provided the diameter size we simply divide it by 2 which would give us 12.5cm. Now we simply plug this value into the formula and solve for V.
V = [tex]\frac{4}{3} * \pi * 12.5^{3}[/tex]
V = [tex]\frac{4}{3} * \pi * 1953.125[/tex]
V = 8,181.23 [tex]cm^{3}[/tex]
Write the slope-intercept form of the equation that is described below.
Through (3, 3) and perpendicular to y = 14x − 2
What is the equation?
Answer:
y = -¹/₁₄x + 3³/₁₄Step-by-step explanation:
If two lines are perpendicular then the product of theirs slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1
y = 14x - 2 ⇒ m₁=14
14×m₂ = -1 ⇒ m₂ = -¹/₁₄
The line y=-¹/₁₄x+b passes through point (3, 3) so the equation:
3 = -¹/₁₄×3 + b must be true
3 = -³/₁₄ + b
b = 3³/₁₄
Therefore equation in slope-intercept form:
y = -¹/₁₄x + 3³/₁₄
someone help!!??? pleaseee
Answer:
I'm not sir but I think it is ISOSCELES
Do Anybody know this ?
Answer:
R= 30-9t.... I think
Step-by-step explanation:
2 parts. help plz. show work
Part (a)
Use the slope formula to compute the slope from x = 4 to x = 6
So effectively we're finding the slope of the line through (4,70) and (6,68)
We get the following
m = (y2-y1)/(x2-x1)
m = (68-70)/(6-4)
m = -2/2
m = -1
Repeat for the points that correspond to x = 6 and x = 8
m = (y2-y1)/(x2-x1)
m = (73-68)/(8-6)
m = 5/2
m = 2.5
Now average the two slope values
We'll add up the results and divide by 2
(-1+2.5)/2 = 1.5/2 = 0.75
The estimate of T'(6) is 0.75
This works because T'(x) measures the slope of the tangent line on the T(x) curve. Averaging the secant slopes near x = 6 will help give us an estimate of T'(6), which is the slope of the tangent at x = 6 on T(x).
Answer: 0.75==============================================
Part (b)
The value T'(6) = 0.75 represents the instantaneous rate of change of the temperature per hour.
More specifically, T'(6) = 0.75 means the temperature is increasing by an estimated 0.75 degrees per hour at the exact instant of x = 6 hours. This instantaneous rate of change is like a snapshot at this very moment in time; in contrast, the slope formula results we computed above measure the average rate of change between the endpoints mentioned.
What is the range of y = x + 20?
please i need help on this question i am not sure what the answer is. help me as soon as possible
Answer:
bail
Step-by-step explanation:
3/4
of a number is 24.
Find the number.
Answer:
32
Step-by-step explanation:
Divide 24 by 3/4 to find the number.
24 ÷ 3/4
= 24 × 4/3
= 32
Answer:
3/4×X=24
4×3/4×X=4×24
3x=96
X=32
Step-by-step explanation:
What is negative 2 3/8 as a decimal?
If Karen's 45 minute lunch break ended at 12:30 P.M., what time did her lunch break begin?
Answer:
11:45 PM
Step-by-step explanation:
please mark brainliest :D
15, 45, 70, 30, 120
What is the mean absolute deviation of the 5 text messages?
Answer:
the answer is 56
Step-by-step explanation:
15+45+70+30+120=280
280 divided by 5 is 56
To find the mean absolution deviation you add all the digits and then divide the sum by the amount of numbers displayed
Hope this helps
Have a great day!
The equation, 6x+12=8x-12 has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form x=a.
Final Answer: [tex]x = 12[/tex]
Steps/Reasons/Explanation:
Question: The equation, [tex]6x + 12 = 8x - 12[/tex] has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form [tex]x = a[/tex].
Step 1: Subtract [tex]6x[/tex] from both sides.
[tex]12 = 8x - 12 - 6x[/tex]
Step 2: Simplify [tex]8x - 12 - 6x[/tex] to [tex]2x - 12[/tex]
[tex]12 = 2x - 12[/tex]
Step 3: Add [tex]12[/tex] to both sides.
[tex]12 + 12 = 2x[/tex]
Step 4: Simplify [tex]12 + 12[/tex] to 24.
[tex]24 = 2x[/tex]
Step 5: Divide both sides by [tex]2[/tex].
[tex]\frac{24}{2} = x[/tex]
Step 6: Simplify [tex]\frac{24}{2}[/tex] to [tex]12[/tex].
[tex]12 = x[/tex]
Step 7: Switch sides.
[tex]x = 12[/tex]
~I hope I helped you :)~
Jalen bought 24 juice packs for $7.20 . Tia bought 6 juice packs for $2.70 . Which statement describes the difference in the unit prices in jalen’s and tia’s juice packs
Answer:
Jalen's purchase unit rate: 0.3
Tia's purchase unit rate: 0.45
0.45 - 0.3 =
Step-by-step explanation:
random...............
what number increased by 62%, results in the value of 59.94
Answer:
The number is : x = 37
Step-by-step explanation:
In order to solve this question, we may set up a proportion.
If the original number is 100%, 59.94 would be 162% of the original, as it was increased by 62%.
so
59.94 → 162%
x → 100%
solving the proportion gives you
59.94 × 100 = 162 × x
x = (59.94 × 100)/162
x = 5994/162
x= 37
Thus, the number is : x = 37
need help asap
hsjshsuehdue
Six Sigma refers to achieving a process variability so small that the design specifications represent ___ standard deviations above and below the process mean.
Answer:
six
Step-by-step explanation:
Six sigma is defined as the method or a set of techniques that provides the provides the organization tools and techniques to improve the capability and and be efficient of their business process. It is a concept of process improvement.
It refers to the achieving of a process variability very small so that the design specification represents six standard deviations which is above as well as below the process mean.
K is between J and L. JK = 3x – 5, and KL = 2x + 1. IfJL = 16, what is JK?
A. 7
B. 8
C. 9
D. 13
Answer:
If JL = 16, we will get JK = 7
Option A is correct option.
Step-by-step explanation:
We are given:
K is between J and L
JK = 3x – 5, and KL = 2x + 1.
IfJL = 16, what is JK
We know that K is between J and L it means it divides JL into JK and KL equally or we can say that adding JK and KL we can get JL
So, We can write:
[tex]JL = JK + KL\\16=3x-5+2x+1[/tex]
Solving the expression we can find first value of x and then value of JK
[tex]16=3x-5+2x+1\\16=5x-4\\16+4=5x\\20=5x\\x=\frac{20}{5}\\x=4[/tex]
So, we get x = 4
Now, put the value of x in JK=3x-5 to get value of JK
[tex]JK = 3x-5\\JK=3(4)-5\\JK = 12-5\\JK=7[/tex]
So, if JL = 16, we will get JK = 7
Option A is correct option.
Which of the following equations represents the greatest value of x?
Equation 1
Equation 2
Equation 3
Equation 4
x2 = 35
x3 = 64
x3 = 125
x2 = 38
Equation 1
Equation 2
Equation 3
Equation 4
Answer:
equation 3
Step-by-step explanation:
Answer:
Equation 3
Step-by-step explanation:
125/3=41 which is the greatest
(can I get brainliest please)
Of the four choices given, which two, when written as a system, have a solution of (-4,5)?
Answer:
The answer is A. The first one.
I hope this helps. ;)
Answer:
It is A on edge 2020
Step-by-step explanation:
Benny's water bottle has 15 ounces of
water and he drinks 0.5 ounces per
second. Juan's water bottle has 10
ounces of water and he adds 0.25
ounces per second. After how many
seconds will Benny's water bottle have
no more than Juan's?
Answer:
Benny's:[tex]15/0.5= 30 \\[/tex]
= 30 seconds to complete his bottle
Juan's = [tex]10/0.25 = 40[/tex]
= 40 seconds to complete his water bottle.
Step-by-step explanation:
Hope this helped you so much with your math problem, and I hope that I get brainly.
NEED HELP ASAP!!!!!!!!
Answer:
x = 2.4
y = 31
Step-by-step explanation:
Angle B = 25x
BC = 31
therefore , this is an equilateral triangle all sides and angles are equal,
25x =60
x = 2.4
BC = BA = AC
y= 31
(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):
х f(x)
-1 -5
0 -1
1 3
g(x)
g(x) = 2x - 7
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
(6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Finding the slope of f(x)
Given the table of the function f(x)
x f(x)
-1 -5
0 -1
1 3
Finding the slope using the formula
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)[/tex]
[tex]m=\frac{-1-\left(-5\right)}{0-\left(-1\right)}[/tex]
[tex]m=4[/tex]
Thus, the slope of the function f(x) = 4
Finding the slope of g(x)
We know the slope-intercept form of a linear function is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given the function
[tex]g(x) = 2x-7[/tex]
comparing with the slope-intercept form
y = mx+b
The slope of the function g(x) = 2
Thus, we conclude that:
The slope of the function f(x) = 4The slope of the function g(x) = 2Hence, the slope of f(x) is greater.
Part b)
Finding the y-intercept form of f(x)
We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.
From the table,
It is clear at x = 0, y = -1
Hence, the y-intercept of the function f(x) = -1
Finding the y-intercept form of g(x)
Given the function
[tex]g(x) = 2x - 7[/tex]
comparing with the slope-intercept form (y = mx+b)
[tex]y = mx+b[/tex]
where b is the y-intercept
Hence, the y-intercept of g(x) = b = -7
Thus, we conclude that:
The y-intercept of the function f(x) = -1The y-intercept of the function g(x) = -7Hence, the y-intercept of f(x) is greater.