Answer:
C. (3x2 + 4x - 7)(x) + (3x2 + 4x - 7)(x - 2)
Step-by-step explanation:
Suppose that X and Y are integer valued random variables with joint probability mass function given by
PX, Y(a, b) = {1/4a, for 1 <= b <= a <= 4
0 otherwise.
a. Show that this is indeed a joint probability mass function.
b. Find the marginal probability mass function of X and Y.
c. Find P(X = Y + 1).
Answer:
Step-by-step explanation:
1)
Given that:
The joint pmf [tex]p_{X,Y(a,b)}=\left \{ {{\dfrac{1}{4a} \ for \ 1 \le b \le a \le 4 } \\ \\ \atop {0} \ \ \ \ \ \ otherwise} } \right.[/tex]
To emphasize that this is a joint pmf;
We will notice that it obeys two conditions;
it comprises a non-negative number and which is less than 1the sum of all the probabilities adds up and becomes unity.Except that X and Y are integer value variables with 1 ≤ b ≤ a ≤ 4 and X = 1, 2, 3, 4 and Y = 1, 2, 3, 4 respectively, according to the condition Y ≤ X
The table below shows the joint probabilities as a result of this:
y = 1 y = 2 y = 1 y = 4 Total
x = 1 [tex]\dfrac{1}{4}[/tex] 0 0 0 [tex]\dfrac{1}{4}[/tex]
x = 2 [tex]\dfrac{1}{8}[/tex] [tex]\dfrac{1}{8}[/tex] 0 0 [tex]\dfrac{1}{4}[/tex]
x = 3 [tex]\dfrac{1}{12}[/tex] [tex]\dfrac{1}{12}[/tex] [tex]\dfrac{1}{12}[/tex] 0 [tex]\dfrac{1}{4}[/tex]
x = 4 [tex]\dfrac{1}{16}[/tex] [tex]\dfrac{1}{16}[/tex] [tex]\dfrac{1}{16}[/tex] [tex]\dfrac{1}{16}[/tex] [tex]\dfrac{1}{4}[/tex]
Total [tex]\dfrac{25}{48}[/tex] [tex]\dfrac{13}{48}[/tex] [tex]\dfrac{7}{48}[/tex] [tex]\dfrac{3}{48}[/tex] 1
In the table, it is obvious that each respective value of the probability is positive and the addition of all the values sums up to unity (1).
Hence, the given probability shows that it is indeed a pmf(probability mass function).
(b)
Marginal Pmf of x = [tex]\dfrac{sum \ of \ all \ prob. \ of (x,y)}{y}[/tex]
Marginal Pmf of y = [tex]\dfrac{sum \ of \ all \ prob. \ of (x,y)}{x}[/tex]
Thus, we can locate the respective values of the marginal probability in the last row as well as the last column in the explained table above.
(c)
To find P(X=Y+1):
P(X = Y + 1) = P(X = 2,3,4)
⇒ 1 - P(X=1)
[tex]\implies 1 - \dfrac{1}{4} \\ \\ \implies \dfrac{4-1}{4} \\ \\ \implies \dfrac{3}{4}[/tex]
Find the volume. No links please
Answer:
72 centimeters
Step-by-step explanation:
V=bh or l*w*h
V=6*3*4 = 72 cm
Who is Pemdas Orelse?
Answer:
Pemdas is a lesson in Mathematics.Step-by-step explanation:
What is the meaning of Pemdas?
The operations is rule that tells the correct sequence of steps by step for explanation's math expression.Meaning of each letter in Pemdas?
Pemdas means each letter are Parenthesis, Exponent, Multiplication, Division, Subtraction, and Addition.(ʋ◕ᴥ◕ʋ)
Asymptotes of x=3 and y=-2
Answer:
Both of these values don't have asymptotes.
Answer:
Both of these values don't have asymptotes.
Solve for x x= [ ]* pls help
What is the common difference of the arithmetic sequence graphed below?
GO
an
1.
-11
1
2
3
4
5
6
7
8
9
n
-2
-3
4
5
-6
• (1.-3.75)
• (2, -4.5)
(3, -5.25)
• (4, -6)
(5.-6.75)
(6.-7.5)
• (7.-8.25)
• (8, -9)
-7
-8
-9
-10
9514 1404 393
Answer:
-0.75
Step-by-step explanation:
If the difference is common, it is the difference of any pair of adjacent y-values (for sequential x-values).
-4.5 -(-3.75) = -0.75 . . . . . difference between the first two y-values
The common difference is -0.75.
A wading pool is 2 m long and 5 m wide. If it holds 30 cubic meters of water, how deep is this wading pool?
Answer:
It would have to be 3 m deep
Step-by-step explanation:
2x5xy=30
2x5x3=30
Let H(x) = 5 x 2 - 10 x. Find x such that (x, - 5 ) is on the graph of H(x).
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
The equation in vertex form is ...
H(x) = 5(x^2 -2x) = 5(x^2 -2x +1) -5
H(x) = 5(x -1)^2 -5
The only value of x that will make H(x) = -5, is x=1.
Which angles are pairs of corresponding angles? Check all that apply.
1/2
4 3
516
87
9 110
12111
13/14
16/15
1 and
3
Answer: The pair of corresponding angles are ∠2 and ∠14 , ∠3 and ∠7 . Option (B) and (D) is correct . When two lines are parallel to each other and cross by another line i.e is called the Transversal , the angles lies in the matching corners are called corresponding angles.
hope it helps!!
From the options given, the angles that are pairs of corresponding angles given in the image are:
∠2 and ∠14 ∠3 and ∠7 What are Corresponding Angles?Corresponding angles will always lie on the same transversal and occupy the same relative position on the two different parallel lines that are intersected by the transversal.
Therefore, from the options given, the angles that are pairs of corresponding angles given in the image are:
∠2 and ∠14 ∠3 and ∠7
Learn more about corresponding angles on:
https://brainly.com/question/2009183
SHOW YOUR WORK
2 1/2 times ? = 5/8
Answer:
1/4
Step-by-step explanation:
Well 2 1/2 is the same thing as 5/2
so we do
5/2 * x(unknown number) = 5/8
2 * 5/2 = 5 * 2/8
5x = 5/4
x = 1/4
Use the graph of y=f(x) in the figure to estimate:
f(0)≈
f(1)≈
f(b)≈
f(c)≈
f(d)≈
9514 1404 393
Answer:
f(0) ≈ 22f(1) = 10f(b) ≈ -8f(c) = 0f(d) 24Step-by-step explanation:
This takes graph-reading one step further. You get to estimate the y-value without benefit of minor grid lines. You must mentally divide the 10-unit distance between grid lines into equal spaces. Then estimate how many of those spaces lie between the point and the nearest grid line.
You can do this more precisely by drawing a diagonal line across the grid from one major grid intersection to one that is (5, 1) or (5, -1) major grid points away. Where that line crosses the intermediate grid lines, the vertical measure will be some multiple of 1/5 of the vertical difference between grid points. For example, a line from (0,20) to (5,30) will cross at (1,22), (2,24), (3,26), and (4,28). You can use these reference points to identify the y-values at f(0) and f(d).
Here's our eyeball estimate:
f(0) ≈ 22f(1) = 10f(b) ≈ -8f(c) = 0f(d) 24
A random sample of 10 employees of a company was selected to estimate the mean one-way commute time for all employees at the company. The mean and standard deviation of the sample were 38 minutes and 6 minutes, respectively. Assuming all conditions for inference are met.
Required:
What is the margin of error, in minutes, for a 95 percent confidence interval for the population mean one-way commute time?
Answer:
The margin of error is of 4.22 minutes.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.2622
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
We have that [tex]s = 6, n = 10[/tex]. So
[tex]M = T\frac{s}{\sqrt{n}} = 2.2622\frac{6}{\sqrt{10}} = 4.22[/tex]
The margin of error is of 4.22 minutes.
What is the surface area of the
rectangular prism below?
To Find Surface Area:
So Surface area is found according to this equation SA=2lw+2lh+2hw
6and 1/2 times 2 is 13 that would be the 2 sides
then you do 3 times 6 1/2 which is 19 1/2, which is the top and bottom
finally you do 3 times 9 1/5 which is 27 3/5.
Now since 1/2 and 1/5 are not the same, we find the LCM or Least Common Multiple, which is 10 so 1/2 is multiplied by 5 which is 5/10 and 3/5 is multiplied by 2 which makes 6/10.
Adding 5/10 and 6/10 is 11/10 or 1 1/10
13+6+9=28
28+1 1/10 = 29 1/10
and finally because we did surface area it is 29 1/10 CM^2
__________________________________________________________
To Find Volume:
The Equation used to find volume is l*w*h
The Length is 6 1/2
Height is 9 1/5
width is 3
First, lets again convert the fractions
5/10 and 6/10
6 5/10 times 9 6/10 is 62.4
62.4 times 3 is 187.2
The .2 and be put into 2/10 or 1/5 so the FINAL answer is 187 1/5
Another way to check this is
6*9*3=162
1/5*1/2
Hope this helped :)
~Ukiahsmith1
Answer:
So Surface area is found according to this equation SA=2lw+2lh+2hwStep-by-step explanation:
what is 0.598 to the nearest whole number.
The answer is 1.
Answer: 1.
Answer:
1 I'm pretty sure
Step-by-step explanation:
59 is bigger than 50 so Im guessing it would go up to 1
I hope this helps :3
If you go to sleep at 8:25 p.m. and wake up at 6:15 a.m. for how long did
you sleep?
What is the value of the expression below? 6 - 11
Answer:
[tex]{\boxed{\boxed{\tt { ᶛɲƧཡэʀ :-}}}} \ [/tex]
[tex]6 - 11 \\ = - 5[/tex]
Answer:
-5 is your answer
have a nice day
Find the equation of the circle in standard form:
Answer:
(x + 5)^2 + (y + 1)^2 = 2^2
Step-by-step explanation:
I see that the instructions here call for "completing the square."
We need to rewrite x^2 + y^2 + 10x + 2y + 22 = 0 in the standard equation-of-a-circle formula (x - h)^2 + (y - k)^2 = r^2.
Start with x^2 + y^2 + 10x + 2y + 22 = 0, Group x terms together, then y terms:
x^2 + 10x + y^2 + 2y = -22
Going through the steps of completing the square, we insert additional constants:
x^2 + 10x + 25 - 25 + y^2 + 2y + 1 - 1 = -22, or
x^2 + 10x + 25 + y^2 + 2y + 1 = + 25 + 1 - 22 = 4
Rewrite x^2 + 10x + 25 as (x + 5)^2, and y^2 + 2y + 1 as (y + 1)^2
after which the original equation becomes (x + 5)^2 + (y + 1)^2 = 2^2
Someone help PLEASE thanks
Answer:
Utiliza la regla
Step-by-step explanation:
Y te sacarasb10
A new factory in a small town has an annual payroll of $ million. It is expected that of this money will be spent in the town by factory personnel. The people in this town who receive this money are expected to spend of what they receive in the town, and so on. What is the total of all this spending, called the total economic impact of the factory, on the town each year? Use the formula for the sum of an infinite geometric series.
Answer:
I would say a millions dollars!
Step-by-step explanation:
Plz help need help help
Answer:
8,560
Step-by-step explanation:
8000 x .02 interest/year x 3.5years=560 interest earned
8000+560=8,560 investment worth after 3.5 years
I will give you Brainiest if you are right.
Answer:
C. 3x + 6
Step-by-step explanation:
x + x + x + 1 + 1 + 1 + 1 + 1 + 1 + (-1) + (-1) =
= 3x + 6
Answer: C. 3x + 6
Find the volume of the solid figure shown below. The area of the base is 40 square inches, and the height of the figure is 7 inches. 280 in. 3 68 in. 3 47 in. 3 108 in. 3
Answer:
280in
Step-by-step explanation:
Answer:
280 in. ^3
Step-by-step explanation:
40 x 7
The length of a rectangle exceeds its width by
3 inches, and the area is 108 square inches.
What are the length and width of the
rectangle?
l=36in
width = 12in
there's ur answer
Simplify:
-43-(27)
A:70
B:16
C:-16
D:-70
Answer:
The answer will be D
Find the measure of each numbered angle or are.
Answer:
<2 = 133degrees
<1 = 135degrees
Step-by-step explanation:
From the diagram, the angle <2 and 47 are supplementary, hence;
<2 + 47 = 180
<2 = 180 - 47
<2 = 133degrees
To get <1;
47 = 1/2(<1 - 41)
47 * 2 = (<1 - 41)
94 = <1 - 41
<1 = 94 + 41
<1 = 135degrees
ASAP pleeeease ASAP ASAP
You are given the results of measurement of resistors. We are testing the
measurement tool. It will pass the technical control if the mean value will be
in the range [198-202] with standard deviation less than 3 Ohms. Will the tool
pass the technical control?
Answer:
As both the standard deviation and the mean have the desired values, the tool passes the technical control.
Step-by-step explanation:
Mean:
The mean is the sum of all values divided by the number of values.
[tex]M = \frac{199+204+201+197+195+204+200}{7} = 200[/tex]
The mean is in the desired range.
Standard deviation:
The standard deviation is the square root of the sum of the difference squared between each value and the mean, divided by the number of values.
[tex]S = \sqrt{\frac{(199-200)^2+(204-200)^2+(201-200)^2+(197-200)^2+(195-200)^2+(204-200)^2+(200-200)^2}{7}} = 1.18[/tex]
As both the standard deviation and the mean have the desired values, the tool passes the technical control.
Decide whether the function is polynomial function. If so, write it in standard form and state its degree, type, and leading coefficient.
f(x)= 9x^4 + 8x^3 - 6x^-2 + 2x
Answer:
It is not a polynomial function, because it includes a negative exponent.
Answer:
Step-by-step explanation:
Leading coefficient = 9
It is in standard form.
It is degree 4
It is a polynomial (I don't think there is a special name for degree 4). Time to eat crow. A 4th degree Polynomial is a quartic.
I didn't notice the power is -2. I am incorrect in telling you it was a polynomial (function). As I noted below, more crow to eat. Please give the Brainliest to the other responder
The graph of F(x) below resembles the graph of G(x) = x?, but it has been
changed somewhat. Which of the following could be the equation of F(x)?
Fix) =>
Gix) = x2
A. F(x) - x-2
B. F{X) = 4x2+2
C. Fx) = - - 2
D. FN-4222
Answer:
B. f(x) = 4x² + 2
Step-by-step explanation:
f(x) = 4 (x - 0)² + 2
vertex: (0 , 2) with vertical stretch
Estimate the difference by rounding each number to the nearest hundredth 0.069-0.044
Answer:
0.1 and 0 thats the answer
(10^7)^2 as a single exponent