Mean:
E[X] = ∑ x f(x) = 1 × f (1) + 2 × f (2) + 3 × f (3) = 51/43 ≈ 1.186
Variance:
Recall that for a random variable X, its variance is defined as
Var[X] = E[(X - E[X])²] = E[X ²] - E[X]²
Now,
E[X ²] = ∑ x ² f(x) = 1² × f (1) + 2² × f (2) + 3² × f (3) = 69/43
Then
Var[X] = 69/43 - (51/43)² = 366/1849 ≈ 0.198
(each sum is taken over x in the set {1, 2, 3})
Given the numbers 30 and 45, find the common factors of the two numbers.
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 45: 1, 3, 5, 9, 15, 45
The common factors between the two numbers are 1, 3, 5, 15.
Hope this helps!
 In one of the examples he is working on, he knows that the two coordinates (0,6) and
(8, 10) are on the function that he is deriving. Using the information from these two
coordinates, determine the slope and y-intercept of the function Mike is looking for, and
then write out the correct function.
9514 1404 393
Answer:
y = 1/2x + 6
Step-by-step explanation:
The slope m is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (10 -6)/(8 -0) = 4/8 = 1/2
The y-intercept is given by the formula ...
b = y -mx
b = 6 -(1/2)(0) = 6
Then the slope-intercept equation is ...
y = mx +b
y = 1/2x +6
The sum of 'n' terms of an arithmetic sequence is 4n2+3n. What is the first term, the common difference, and the sequence?
Answer:
Step-by-step explanation:
If the 2 is an exponent, it should be indicated with a circumflex: 4n^2+3n.
What is the first term?
a₁ = S₁ = 4·1² + 3·1 = 7
:::::
What is the common difference?
a₁ + a₂ = S₂ = 4·2² + 3·2 = 22
a₂ = 22-a₁ = 15
common difference d = a₂ - a₁ = 8
:::::
What is the arithmetic sequence?
The nth term is 7+(n-1)d = 7+(n-1)8 = 8n-1.
a₁ = 8·1-1 = 7
a₂ = 8·2-1 = 15
a₃ = 8·3-1 = 23
...
Instructions: Determine whether the lines
passing through the pairs of points are
parallel, perpendicular or neither.
• Line a: (5,3) and (5,7)
• Line b: (2,7) and (-1,7)
Select one:
O Perpendicular
Neither
Parallel
Answer: Perpendicular
Explanation
the gradient of line b is (7-7)/(-1-2) = 0/-3 = 0
Therefore it means that it is a horizontal line
Must click thanks and mark brainliest
write all the prime numbers between 10 and 30.
solve above question
how many itegers from 15 to 85, inclusive are multibles of 8
Answer:
9
Step-by-step explanation:
First multiple of 8 in that range is 8(2)=16.
The last multiple of 8 in that range is 8(10)=80.
So we just need to find how many numbers there are between 2 and 10. inclusive.
10-2+1=9
It's also not that long to write out and count.
1-2
2-3
3-4
4-5
5-6
6-7
7-8
8-9
9-10
9 numbers there are
Multiply those 9 numbers by i you will have all multiples of 8 btw 15 and 85.
8(2)=16
8(3)=24
8(4)=32
8(5)=40
8(6)=48
8(7)=56
8(8)=64
8(9)=72
8(10)=80
What is the slope-intercept equation of the line below?
Answer:
y=-5/4x+3
Step-by-step explanation:
y=mx+c
m = (y1-y2)/(x1-x2) =(-2-3)/(4-0) =-5/4
sub the values y=3, x=0 to find c,
3 =-5/4(0) + c
c = 3
Find mPMA + mCMT. Please help..
PMA = 37
CMT = 101 - 54 =47
Total = 37 + 47 = 84
Answer: A. 84
Find the length of the segment indicated. circles 4
I need more information, comment on my "answer".
A health club sold ten memberships in one week for total of $3000. If male memberships cost $300 and female memberships cost $300, then how many male memberships and how female memberships were sold?
Answer:
Step-by-step explanation:
The reason you haven't gotten an answer to this is because in its current formatting, there is no answer. Here's what I mean:
The first equation is going to be concerning the NUMBER of memberships sold, where m is male and f is female. The total number of memberships was 10:
m + f = 10
Now for the money equation. The total amount of money made from that number of memberships was 3000, where male memberships cost $300 and so do the female memberships, giving us an equation of
300m + 300f = 3000
Go back to the first equation and solve for either m or f. I solved for m in terms of f:
m = 10 - f and sub that into the second equation for m to get:
300(10 - f) + 300f = 3000 and
3000 - 300f + 300f = 3000. Here is where you find the problem. The -300f and the 300f cancel each other out, leaving you with the fact that
3000 = 3000 which it does, but it doesn't give us any viable answer.
I would have to say that since we can't do math on this, that the most credible answer you'll find is that the same number of male and female memberships were sold because 5 male memberships cost $1500 (5 memberships at $300 a piece is $1500) and 5 female memberships also cost $1500.
1500 + 1500 = 3000
if 2 shirts cost 18.80, how much would 9 shirt cost.
Answer:
84.60
Step-by-step explanation:
We can write a ratio to solve
18.80 x
--------- = --------------
2 shirts 9 shirts
Using cross products
18.80 *9 = 2x
169.2 =2x
Divide each side by 2
169.2/2 =2x/2
84.60 =x
hi hi hi please help ♀️
Answer:
Cooper read the least because
Step-by-step explanation:
1/5 is less than
Answer: Cooper read more
Step-by-step explanation:
Solve this pleaseeeeeeeeeee
Answer:
10d
Step-by-step explanation:
5d on 1 side, double it to get 10d cuz from Point O to Point D, y increases from 0 to 5d and since the triangles are congruent, we can add another 5d (or in total 10d).
Simplify the following expression:
(15b^5)^2
—————-
(5b^2)^3
Answer:
5x
Step-by-step explanation:
(75b x)x×2
---------------
(10b x)×3
=75b x×x×2
-----------------
10b x×3
=25x
-------
5
=5x
Answer please I’m stuck
Answer:
196
Step-by-step explanation:
We will use the formula:
Surface Area of A / Surface area of B = (Height of A /Height of B)^2
49/S2 = (4/8)^2
49/S2 = 1/4
S2 = 196
Answred by Gauthmath
Political Stcibility
Answer:
Political stability is a variable of great importance in a country's evolution since, across time, it was identified as causing law level of economic growth, but also it was presented as a consequence of poor economic development.
Someone help me please
Answer:
y=4
Step-by-step explanation:
The triangle on the right is a 30-60-90 triangle
The ratio of sides in a 30-60-90 triangle is 1:√3:2
y:x:8
SO y will be 4 because 8/y=2/1
Do the two trapezoids in the figure appear to be similar? Why or why not?
options:
A)
They're not similar because only one pair of corresponding angles in the two trapezoids is congruent.
B)
They're similar because two pairs of corresponding angles in the two trapezoids are congruent.
C)
They're similar because one pair of corresponding angles in the two trapezoids is congruent.
D)
They're not similar because two pairs of corresponding angles in the two trapezoids are congruent.
Answer:
Option B,
They're similar because two pairs of corresponding angles in the two trapezoids are congruent
Answer:
They're not similar because only one pair of corresponding angles in the two trapezoids is congruent.
Step-by-step explanation:
Factorize (256⁴-1).
Use appropriate identity.
(256⁴-1)
= (256-1)⁴
Using identity (a-b)⁴ = a⁴−4a³b+6a²b²−4ab³+b⁴
Let a be 256 and b be 1
Then
256⁴−4(256)³(1)+6(256)²(1)²−4(256)(1)³+(1)⁴
After solving
(256²-1)²
(a-b)² = a²-2ab+b²
256²-2×256×1+1²
= (256²-1)(256²+1)
Must click thanks and mark brainliest
Answer:
Use identity:
a² - b² = (a + b)(a - b)Consider that:
256 = 2⁸Now factorize:
256⁴ - 1 = (2⁸)⁴ - 1 = 2³² - 1 = (2¹⁶ - 1)(2¹⁶ + 1) = (2⁸ - 1)(2⁸ + 1)(2¹⁶ + 1) = (2⁴ - 1)(2⁴ + 1)(2⁸ + 1)(2¹⁶ + 1) = (2² - 1)(2² + 1)(2⁴ + 1)(2⁸ + 1)(2¹⁶ + 1) = (2 - 1)(2 + 1)(2² + 1)(2⁴ + 1)(2⁸ + 1)(2¹⁶ + 1)please help with this on the picture
Answer:
There is not enough information to solve this problem :(
What is the greatest common factor of 10 and 13?
ANSWER IN LESS THEN 3 MINS AND I'LL GIVE BRAINLIEST
Answer:
the answer for this would be 1
Please look below (Please Explain and NO LINKS)
Answer:
Mean = Sum of all numbers divided by the amount of numbers
[tex]Mean/Average=\frac{3+1+1.5+1.25+2.25+4+1+2}{8} =\frac{16}{8} =2[/tex]
Median = the middle number when the ordered from least to greatest.
From least to greatest: [tex]1, 1, 1.25, 1.5, 2, 2.25, 3, 4[/tex]The two middle numbers are 1.5 and 2.If there are two middle numbers, find the mean/average of those numbers:
[tex]\frac{1.5+2}{2} =\frac{3.5}{2} =1.75[/tex]
Therefore, the answer would be:
Mean = 2Median = 1.75
In the equation 11 - 4(x +4) = 6x, the first step is to simplify 11 - 4.
True
False
Answer:
False
Step-by-step explanation:
You first need to distribute the -4 to (x+4).
Find m∠DFC.
A. 23
B. 167
C. 46
D. 69
Answer:
A.23
maaf kalosalah !(!)!(!)!(!)!(!)!(!)!(!)!(!)!(!)!
Can you help with this
9514 1404 393
Answer:
D, C
Step-by-step explanation:
The only two rational expressions that have appropriate denominators are ...
1/(x² +6x) . . . contributes a factor of x to the denominator
(x+2)/(x² -36) . . . contributes a factor of (x -6) to the denominator
The proper order in the expression is ...
[tex]\displaystyle\dfrac{x+2}{x^2-36}-\dfrac{1}{x^2+6x}=\dfrac{x^2+x+6}{x(x-6)(x+6)}[/tex]
Answer:
(x+2/x^2-36) - (1/x^2+6x) = (x^2+x+6/x(x-6)(x+6))
Step-by-step explanation:
I hope that helps
Kevin made a business trip of 312.5 miles. He averages 60 mph for the first part of the trip and 55 mph for the second part. If the trip took a 5.5 hours how long did he travel at each rate
Answer:
Kevin travels for 2 hours at 60 mph and 3.5 hours at 55 mph
Step-by-step explanation:
Let's say that Kevin spends x hours going 60 mph and y hours going 55 mph. We can say that the sum of the two parts is 5.5, so x+y = 5.5 . Next, he goes 60 miles per hour for the first part of the trip, so for each hour he goes 60 mph, he travels 60 miles. We can then denote 60 * x as the distance traveled during the first part of his trip as he goes 60 mph for x hours. Similarly, 55 * y denotes the distance Kevin travels during the second part of his trip. His total distance is thus 60 * x + 55 * y = 312.5 miles
We have
x + y = 5.5
60 * x + 55 * y = 312.5
One way we can solve this is to solve for y in the first equation and plug that into the second. Subtracting x from both sides in the first equation, we get
y = 5.5 - x
Plugging that into the second equation, we get
60 * x + 55 * (5.5-x) = 312.5
60 * x + 55 * 5.5 - 55x = 312.5
5x +302.5 = 312.5
subtract 302.5 from both sides to isolate the x and its coefficient
5x = 10
divide both sides by 5 to solve for x
x = 2
y = 5.5 - x = 5.5 - 2 = 3.5
Therefore, Kevin travels for 2 hours at 60 mph and 3.5 hours at 55 mph
Ed makes $11.50 an hour. This week he worked 36 regular hours and 7 hours at time and a half?
HELP ME PLSSS SUMMER SCHOOL A HARD
Answer:
y=2x+8
Step-by-step explanation:
Hope this helps
. Two mutually exclusive projects have projected cash flows as follows:
YEAR PROJECT A PROJECT B
0 Ksh. -2m Ksh. -2m
1 1m 0
2 1m 0
3 1m 0
4 1m 6m
Required:
a) Determine the internal rate of return for each project. [2 Marks]
b) Determine the net present value for each project at discount rates of 0, 5,10,20,30, and 35 percent. [2 Marks]
c) Plot a graph of the net present value of each project at the different discount rates. [2 Marks]
d) Which project would you choose? Why? [ 2 Marks]
e) What is each project’s MIRR if the cost of capital is 12 percent?
Answer:
yes
Step-by-step explanation:
