Answer:
3 ways
Step-by-step explanation:
n = 3; r = 2
[tex]nC_{r}=\dfrac{n!}{r!(n-r)!}\\\\3C_{2}=\dfrac{3!}{2!1!}=\dfrac{3*2*1}{2*1}=3[/tex]
Solve 2/v + 1/w = 1/2 for v
Answer:
v=(-4w)/(-w+2)
I NEED THIS ANSWERED ASAP
Answer:
X = 3
Bc = 6
AC = 12
Step-by-step explanation:
Hope it helped
The height of Tower A is 690 feet more than Tower B. The two towers have a combined height of 1,384 feet. What are the heights of each tower?
Tower B is feet tall
(Simplify your answer. Type an integer or a decimal)
Tower A is feet tall
(Simplify your answer. Type an integer or a decimal.
Step-by-step explanation:
A = 690ft + B
A + B = 1.384ft
(690ft + B) + B = 1.384ft
2B = 1.384ft - 690ft
2B = 694ft
B = 694ft ÷ 2
B = 347ft
A = 690ft + B
A = 690ft + 347ft
A = 1.037ft
Tower A → 1.037 feet
Tower B → 347feet
HELPPP PLZ PLZ PLZ 15 BRANULASR When x is decreased by 129 and then that number is multiplied by 129 , the result is 129. What is the value of x?
Answer:
130
Step-by-step explanation:
(x - 129) * 129 = 129
x - 129 = 129/129
x - 129 = 1
x = 129 + 1
x = 130
Answer:
x could equal 130 but I'm not sure about this one
Step-by-step explanation:
you take 130-129 which equal 1 then times 1 by 129 and it equals 129... again sorry if it's not right because I'm not entirely sure how to do this I'm pretty sure I did it correct though
Line ℓ has equation y=5. Find the distance between ℓ and the point Q(0,1).
Answer:
Distance = 4
Step-by-step explanation:
Given the linear equation of line ℓ, y = 5 which is a horizontal line in which its slope, m = 0 (zero slope), and each of the x-coordinates along the line have the same y-coordinate of y = 5.
In order to determine the distance of the horizontal line from the given point Q, (0, 1), use the following distance formula:
[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]
Choose any x-coordinate to pair with the y-coordinate, y = 5. Let's use the y-intercept, (0, 5).
Let (x₁, y₁) = (0, 1)
(x₂, y₂) = (0, 5)
Substitute these values into the distance formula:
[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]
[tex]d = \sqrt{(0 - 0)^{2} + (5 - 1)^{2}}[/tex]
[tex]d = \sqrt{(4)^{2}}[/tex]
[tex]d = \sqrt{16}[/tex]
d = 4
Therefore, the distance of line ℓ from point Q is 4.
describe using their angles please
Answer:
equilateral triangle is a triangle in which all 3 sides have the same length
If a course starts September 2022,and last for three years, what year would it end.
Answer:
im pretty sure its 2025
Answer:
2025
Step-by-step explanation:
What is the equation of the line in slope-intercept form?
6
5
4
3
2
1
-5 -4
1
2
3
4
43 -2 -1
-1
-2
-3
-4
Enter your answer in the boxes.
y = IX +
Answer:
y = 4/3x + 4
Step-by-step explanation:
The y intercept is 4. So if we look the 2 points are (-3,0) and (0,4)
So the run is 3 and rise 4
so 4/3 is the slope
Can someone tell me what the evaluated answer is?
Answer:
16) 7⁻²
17) -1⁻²
Step-by-step explanation:
plug in the x=, y=, and n= into the equation.
A file that is 249 megabytes is being downloaded. If the download is 15.7% complete, how many megabytes have been downloaded? Round your answer to the
nearest tenth ?
Answer:
39.1 megabytes
Step-by-step explanation:
Percentages are out of a hundred, so 15.7% is 15.7 out of 100, aka 15.7/100, which is 0.157.
Now, you just need to multiple this number by 249 megabytes to get 0.157 * 249 = 39.093 which rounds to 39.1
A continuous random variable X has probability density function X. Show how its
moment generating function can be used to determine the variance of this random
variable.
The moment generating function is defined by
[tex]M_X(t) = \mathbb E[e^{tX}][/tex]
Recall the power series expansion for the exponential function:
[tex]\displaystyle \sum_{n=0}^\infty \frac{x^n}{n!} = 1 + x + \frac{x^2}2 + \frac{x^3}6 + \cdots[/tex]
Then by extension, the MGF could be similarly written as
[tex]\displaystyle M_X(t) = \mathbb E \left[1 + Xt + \frac{(Xt)^2}2 + \frac{(Xt)^3}6 + \cdots\right][/tex]
There's a certain theorem (due to Fubini, in case you're interested in learning more about it) that let's us exchange the order of integration (recall the definition of expectation for continuous random variables) and summation, so that
[tex]\displaystyle M_X(t) = \mathbb E[1] + \mathbb E[Xt] + \mathbb E\left[\frac{X^2t^2}2\right] + \mathbb E\left[\frac{X^3t^3}6\right] + \cdots[/tex]
and by the linearity of expectation,
[tex]\displaystyle M_X(t) = 1 + \mathbb E[X] t + \frac12 \mathbb E\left[X^2\right] t^2 + \frac16 \mathbb E\left[X^3\right] t^3 + \cdots[/tex]
and here we see where the name MGF comes from: the coefficient of the n-th order term in the series expansion "generates" the n-th moment, which is defined as E[Xⁿ].
Now, recall the definition of variance:
[tex]\mathrm{Var}(X) = \mathbb E\left[\left(X - \mathbb E[X]\right)^2\right][/tex]
[tex]\mathrm{Var}(X) = \mathbb E\left[X^2\right] - \mathbb E[X]^2[/tex]
and this is exactly the difference between the second moment and the square of the first moment.
So if you know the MGF, then you essentially get the variance for free with little effort. By differentiating the MGF, we get
[tex]\displaystyle M_X''(t) = \mathbb E[X] + \mathbb E\left[X^2\right] t + \frac12 \mathbb E\left[X^3\right] t^2 + \cdots[/tex]
and setting t = 0 lets us recover the first moment, E[X].
Differentiating again gives
[tex]\displaystyle M_X'(t) = \mathbb E\left[X^2\right] + \mathbb E\left[X^3\right] t + \cdots[/tex]
and setting t = 0 once again recovers the second moment.
Then in terms of the MGF, we have
[tex]\boxed{\mathrm{Var}(X) = M_X''(0) - M_X'(0)^2}[/tex]
Please answer the question in the picture
Answer:
2x² + 2x - 24
Step-by-step explanation:
We can use the FOIL method to multiply the terms together and then find the values in our trinomial. First, the F in FOIL. It stands for first, and we need to multiply the first terms in the two expressions. These terms are 2x and x. Multiplying 2x by x gives us 2x², so that's our first term.
Next, the O in FOIL. It stands for outside, and we need to multiply the terms on the very left and the very right. These are 2x and -3, and multiplying 2x by -3 gives us -6x. That's our second term.
Now, the I in FOIL. It stands for inside, so we need to multiply the terms in the middle of the expressions. Those are 8 and x, and we multiply those together to get 8x. That's our third term.
Finally, the L in FOIL. This stands for last; we need to multiply the last terms of each expression. Those are 8 and -3, and we can multiply those to get -24. Now we can get all our terms added together and simplify as needed.
2x² - 6x + 8x - 24
We can simplify -6x and 8x since they are like terms.
2x² + 2x - 24
And there is our trinomial. Hopefully that's helpful! :)
epic gamer question i'll mark brainliest
Answer:
I think it is parallel
Step-by-step explanation:
3. Round the numbers to the nearest given place
value
a. Round 63 to the nearest ten.
b. Round 56 to the nearest hundred.
Cound 56 to the nearest ten.
Answer:
a) 60
Step-by-step explanation:
sorry I know only of one
If the map distance is 20 cm and the scale is 4 cm = 60 km, what is the actual distance?
Answer:
300
Step-by-step explanation:
1. 60/4=15
2. 15x20=300
A toy factory makes toys that are sold for $10 a piece. The factory has 40 workers, and they each produce 25 toys per day. The factory is open 5 days a week. What is the total value of toys the factory produces in a day?
Answer:
The total value of toys the factory produces in a day is $10,000.
Step-by-step explanation:
One Toy = $10
Workers = 40
Toys Made By Each Worker Per Day = 25
The factory makes 1,000 toys per day and 5,000 toys per week. Each toy has a value of $10 so the value of toys in one day would add up to $10,000. The toy factory would also make $50,000 a week.
PLEASE HELP WILL GIVE 40 POINTS
Amy is planning the seating arrangement for her wedding reception. Each round table can sit 8 guests. The head table can sit the bride and groom with the 6 wedding attendants. If Amy expects 158 to 174 guests to attend her wedding, including the attendants, what is the range for the number of round tables she will need for her reception?
A. 20 to 22
B. 25 to 27
C. 19 to 21
D. 21 to 23
Answer:
19 to 21
Step-by-step explanation:
Head table is for 6 attendants
158 to 174 - 6 attendants
152 to 168 people for round tables
each round table can sit 8 guests
so, 152/8 168/8
19 to 21
Answer:
D. 21 to 23
Step-by-step explanation:
1. First, you use the biggest number of guests just to be safe. Since there will be about 174 guests attending
2. you divide 174 by the number of seats a round table can hold. Since the number is 8, you 174/8 which is 21.75.
3. You round up to the biggest number of tables that has the number 21 in it.
4. Your answer is D. 21 to 23
. The sum of infinity of G.S is 15, 1st term is 3 then the common ratio is.
Step-by-step explanation:
We know ,
=> Sum = a / 1 - r
=> 15 = 3/1-r
=> 15 - 15r = 3
=> 15r = 18
=> r = 18/15
=> r = 6/5
Mr. Solomon, the art teacher, has 49.6 pounds of clay. If he gives every student 1.6 pounds of clay and has none left, how many students are in his class?
Answer:
He has 31 students
Step-by-step explanation:
You know this because 49.6 ÷ 1.6 = 31
A company makes a profit of $y (in thousand dollars) when it produces x computers,
where y is given by the formula y = a(x - 100)(x - 200) for x 20 If 120
computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
The solutions to the questions if y is represented by the formula y = a(x - 100)(x - 200) are:
a) The value of a = -2000
b) The maximum profit the company can make = $5,000,000
To make maximum profit, 150 computers must be produced
c) The company must produce between 140 and 160 computers to make at least $4,800,000
The equation representing the company's profit is:
y = a(x - 100)(x - 200) for x > 20
If 120 computers are produced, the profit will be $3,200,000
That is, y = 3,200,000 if x = 120
a) Find the value of a
3,200,000 = a(120 - 100)(120 - 200)
3200000 = -16000a
a = -3200000/1600
a = -2000
b) Maximum profit the company can make
The equation becomes:
y = -2000(x - 100)(x - 200)
y = -2000(x² - 200x - 100x + 20000)
y = -2000(x² - 300x + 20000)
y = -2000x² + 600000x - 40000000
dy/dx = -4000x + 600000
dy/dx = 0 at maximum value
-4000x + 600000 = 0
4000x = 600000
x = 600000/4000
x = 150
To make maximum profit, 150 computers must be produced
Substitute x = 150 into y = -2000x² + 600000x - 40000000 to find the maximum profit
y = -2000(150²) + 600000(150) - 40000000
y = 5000000
The maximum profit the company can make = $5,000,000
c) Calculate the range of the number of computers to be produced If the company targets to make at least $4,800,000
-2000x² + 600000x - 40000000 ≥ 4800000
-2000x² + 600000x - 40000000 - 4800000 ≥ 0
-2000x² + 600000x - 44800000 ≥ 0
Divide through by -2000
x² - 300x +22400 ≤ 0
(x - 140)(x - 160) ≤ 0
140 ≤ x ≤ 160
The company must produce between 140 and 160 computers to make at least $4,800,000
Learn more here: https://brainly.com/question/25471478
four and three sevents plus six and one fith.
(–5, 2) and (3, r) has slope of 1/2
Answer:
value of r is 6
Step-by-step explanation:
Given that the slope is 1/2
So we can set up the linear equation like this:
y= 1/2x + b
Since it also goes through (-5, 2)
plug in:
[tex]2 = \dfrac12*-5 + b\\b=2 +2.5 = 4.5\\y = \dfrac12x +4.5[/tex]
Then we plug in x=3 to find out the value of r
[tex]r = \dfrac12*3+4.5=1.5+4.5=6[/tex]
Find the difference (10j-7)-(-9j+2)
Answer:
19j-9
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
10+9=19j
-7-2=9
10x-6x-4-1=7-12+2x+2x
Any value of
x
makes the equation true.
Always true
Interval Notation:
(−∞,∞)
A suspension bridge with weight uniformly distributed along its length has twin towers that extend 55 meters above the road surface and are 1200 meters apart. The
cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the bridge. Find the height of the
cables at a point 300 meters from the center. (Assume that the road is level.)
The height of the cables is meters.
(Simplify your answer.)
Answer:
try kopo
Step-by-step explanation:
55+1200+300=1555
Answer:
Step-by-step explanation:
start by graphing it (see picture)
formula for a parabola: y=ax²
using the coordinates (600,55) we get
55=a*600²
a=55/(600²)
so now it's just a matter of plugging in 300 for x
(55/600²)*300²= 13.75
If you spent 24 weeks working on a project for your job and are rewarded with 3 days of vacation write the ratio of time on vacation to time working as a fraction in lowest terms
Which of the following could be the number shown on the number line?
A. V66
B. V60
C. V63
D. V65
Answer:
A
Step-by-step explanation:
v666
Which is a property of an angle?
A-has two sides that each extend forever in both directions
B-has two endpoints
C-has two center points
D-has two rays that share a common endpoint
HELPLPLPLPLPPkkkki need help
Answer:
2 is the variable
Step-by-step explanation:
8(2) = 16
16-27 = -11
Solve all of them please u get 30 points
Step-by-step explanation:
from which text book please