Answer:
Step-by-step explanation:
From the information given:
X represent no of Canon SLR
The pmf is given as:
X 0 1 2 3 4
p(x) 0.1 0.2 0.3 0.25 0.15
p = P(customers that purchase the camera & also purchase an extended waranty.
As a result, the conditional distribution Y provided X approaches a Binomial distribution with n = x and p = 0.55 as the parameter.
[tex]\dfrac{Y}{X}\sim Bin (n = x, p=0.55) y =0.1, ... x \ and \ X = 0,1,2,3,4[/tex]
The condition probabilities Y given X is:
[tex]P (\dfrac{Y=0}{X=0}) = 1 \\ \\ P(\dfrac{Y=0}{X=1} ) = 0.45 and P(\dfrac{Y=1}{X=1}) = 0.55 \\ \\ P(\dfrac{Y=0}{X=2}) = 0.2025 , P(\dfrac{Y=1}{X=2}) = 0.495, P(\dfrac{Y=2}{X=2}) = 0.3025 \\ \\ P(\dfrac{Y=0}{X=3}) =0.091125 , P(\dfrac{Y=1}{X=3} ) =0.334125 , P(\dfrac{Y=2}{X=3}) = 0.408375; \ \ \& \ \ P(\dfrac{Y=3}{X=3}) = 0.166375 \\ \\[/tex]
[tex]P(\dfrac{Y=0}{X=4}) =0.041006 \ , \ P(\dfrac{Y=1}{X=4} ) =0.200475 , \ P(\dfrac{Y=2}{X=3} ) =0.367538 , \\ \\ P(\dfrac{Y=3}{X=4} ) =0.299475 , \ P(\dfrac{Y=4}{X=4} ) =0091506 ,[/tex]
Now, the joint P.D (probability Dist.) of X & Y is expressed as:
[tex]P(\dfrac{Y=y}{X=x} ) = P\dfrac{Y=y\ , \ X=x }{X=x} \\ \\ P(X=x,Y=y) = P(\dfrac{Y=y}{X=x} ) \times P(X=x)[/tex]
The Joint P.D is;
Y Total
0 1 2 3 4
X 0 0.1 0 0 0 0 0.1
1 0.09 0.11 0 0 0 0.2
2 0.06075 0.1485 0.09075 0 0 0.3
3 0.022781 0.083531 0.102094 0.041594 0 0.25
4 0.006151 0.030071 0.055131 0.044921 0.013726 0.15
Total 0.279682 0.372103 0.247974 0.086515 0.013726 1
(a)
P(X=4,Y=2)
From the table above:
P(X=4,Y=2) = 0.055131
(b)
[tex]P(X=Y ) \implies P (X=0,Y=0) + P (X=1,Y=1) +P (X=2,Y=2) +P (X=3,Y=3) +P (X=4,Y=4) \\ \\ = 0.1 +0.11 + 0.09075 + 0.041594 + 0.013726 \\ \\ \mathbf{= 0.35607}[/tex]
A line passes through the points (-1,4) and (4,-2). Find the equation of the line in slope intercept form.
Answer:
Your Answer mark me as brainlist
Step-by-step explanation:
slope = "rise over run" the difference in y values divided by the difference in x values
= 6/-3 = -2 = m. It's negative because as x increases, y decreases
plug that into the point slope formula, with either point. generally use the most simple point
y-h= m(x-k) where m= -2 and (k,h) = (2,-2)
y+2 = -2(x-2)
simply if you want
Y = -2x +4 -2 = -2x +2
or
2x +y = 2
What is equivalent to 3n+2(1-4n)
Answer:
-5n + 2
Step-by-step explanation:
distribute 2 into (1 - 4n)
3n + 2 - 8n = -5n + 2
What best describes the distance between two points with coordinates (2,-3) and (-4,2)
Answer:
Option c (7.8) is the correct alternative.
Step-by-step explanation:
The given points are:
(x₁, y₁) = (2, -3)
(x₂, y₂) = (-4, 2)
As we know,
The distance between two points will be:
= [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
On substituting the values, we get
= [tex]\sqrt{(-4-2)^2+(2-(-3))^2}[/tex]
= [tex]\sqrt{(-4-2)^2+(2+3)^2}[/tex]
= [tex]\sqrt{(6)^2+(5)^2}[/tex]
= [tex]\sqrt{36+25}[/tex]
= [tex]\sqrt{61}[/tex]
= [tex]7.8 \ units[/tex]
Preston has a car washing business. Last year he washed 20 cars a week. This year, he washed 1,200 cars. How many more cars did he wash this year than last year? *52 weeks=1 year
Answer:
He washed 160 more cars this year than last year.
Step-by-step explanation:
Last year: He washed a total of 1,040 cars.
This year: He washed a total of 1,200 cars.
1,200
- 1,040
160
Nick's grandfather grows tomatoes in a section of his yard that is 4/5 meter long and 2/3 meter wide. What is the area of the tomato section?
Answer:
Multiply 4/5 by 2/3
Step-by-step explanation:
Answer:
8/15m^2
Step-by-step explanation:
Hello, to find the area of a rectangle, you take the width and the length and you multiply them together like this:
4/5 x 2/3= 8/15m^2
Don't forget the meters squared in your answer.
Muhammad, your client, comes to your office. He is from Pakistan and is an avid cricket player. His annual salary and bonus/incentive compensation income, earned as the president of an engineering firm in Virginia, is usually $2 million. He is in the top tax bracket. Muhammad would like to donate $1 million to the Pakistani Cricket Foundation in Islamabad (the foundation is not a U.S. registered charity) to support cricket in his homeland. He assumes he will get an income tax deduction for this.
1. Will Muhammad likely get an income tax deduction for his planned $1 million donation? Why or why not?
2. Should you try to persuade Muhammad to be more patient and make the donation in his will? Why or why not?
Solution :
It is given that Muhammad annual income is $ 2 millions. He wants to donate $ 1 million to the Pakistani Cricket Foundation to support cricket.
1. Muhammad believes that donating the amount will help him getting a income tax deduction, but he is not eligible for the tax deduction even if he donates. This is because income tax is deducted only if one donates to a US qualified charitable organization that is a 501(c) 3 type of organizations for any federal tax purposes. The Pakistani Cricket Foundation is not a US qualified charitable organization.
2. Yes, I would persuade Muhammad to be more patient and continue to make donations on his will to some conservation organizations as well. This will help the organization to spend the fund on some useful activities and can also get some tax benefits for the taxa purposes under section 170(h) and 2013(c).
Complete the square
to find the vertex
of this parabola.
y^2+4x - 2y+21=0
Answer:
::::::::::::::::::::
(-5,1)
The vertex of the parabola represented by the equation y² + 4x - 2y + 21 = 0 is (-5, 1).
The parabola is represented by the equation y² + 4x - 2y + 21 = 0.
Take the coefficient of y, which is -2, divide it by 2, and square the result:
(-2/2)² = 1
Now, we add and subtract this value inside the parentheses to maintain the equation's balance:
y² - 2y + 1 + 4x + 21 - 1 = 0
Rearranging the terms, we have:
(y² - 2y + 1) + 4x + 20 = 0
Now, the terms inside the parentheses can be written as a perfect square:
(y - 1)² + 4x + 20 = 0
Setting (y - 1)² = 0,
(y - 1)² = 0
y - 1 = 0
y = 1
Substitute y = 1 back into the equation to find the x-coordinate of the vertex:
(1 - 1)² + 4x + 20 = 0
0 + 4x + 20 = 0
4x = -20
x = -5
Therefore, the vertex of the parabola is (-5, 1).
Learn more about the parabola here:
brainly.com/question/4074088
#SPJ2
There are 5 cups of tea in the pitcher. There are 10 fluid ounces of tea in the glass. In fluid ounces, how much more tea is in the pitcher than in the glass? Type in! QUICK!
Answer:
30 fl oz
Step-by-step explanation:
1 c = 8 fl oz
5c = 40 fl oz
40 fl oz - 10 fl oz = 30 fl oz
Answer:
3 fl oz
Step-by-step explanation:
Someone please help me
9 4/7 + 8 5/6 =
Answer:
9 4/7 + 8 5/6 = 773/
42
= 18 17/
42
= 18.4047619
Step-by-step explanation:
Answer:
18 17/42
Hope this helps
I WILL GIVE BRAINLIEST PLS HELP PLS PLS PLS
if your given the equation, 4x^3-9x^3 do you combine the exponents or add them?
Answer:
ay i use this- technically isnt cheating bc my teachers didnt block it so..
math calculator for exponent thingys:
https://www.mathpapa.com/calc.html
-and i think you combine them..maybe-
Please help!! Need help with this algebra question quickly!!
Answer:
The area would be:-
(x-2) multiplied by (2x-1)
So, the answer would be
= [tex]2x^{2} -5x + 2[/tex]
PLEASE HELPPP! I'LL GIVE BRAINLEST
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer: yxz and tus
Step-by-step explanation:
Which of the following would be a possible alternate hypothesis for this null hypothesis?
Null Hypothesis: A 32 oz bag of chips contains at least 32 oz of chips.
a - A 32 oz bag of chips contains exactly 32 oz of chips.
b - A 32 oz bag of chips contains less than 32 oz of chips.
c - A 32 oz bag of chips might contain cookies instead.
d - One time, my buddy ate a whole 32 oz bag of chips.
Answer:
B
Step-by-step explanation:
Makes the most since
The Martinez Company has just completed a physical inventory count at year end, December 31, 2022. Only the items on the shelves, in storage, and in the receiving area were counted and costed on the FIFO basis. The inventory amounted to $81,600. During the audit, the independent CPA discovered the following additional information:
(a) There were goods in transit on December 31, 2022, from a supplier with terms FOB destination, costing $9,800. Because the goods had not arrived, they were excluded from the physical inventory count.
(b) On December 27, 2022, a regular customer purchased goods for cash amounting to $1,150 and had them shipped to a bonded warehouse for temporary storage on December 28, 2022. The goods were shipped via common carrier with terms FOB shipping point. The customer picked the goods up from the warehouse on January 4, 2023. Martinez Company had paid $575 for the goods and, because they were in storage, Martinez included them in the physical inventory count.
(c) Martinez Company, on the date of the inventory, received notice from a supplier that goods ordered earlier, at a cost of $3,500, had been delivered to the transportation company on December 28, 2022; the terms were FOB shipping point. Because the shipment had not arrived on December 31, 2022, it was excluded from the physical inventory.
(d) On December 31, 2022, there were goods in transit to customers, with terms FOB shipping point, amounting to $760 (expected delivery on January 8, 2023). Because the goods had been shipped, they were excluded from the physical inventory count.
(e) On December 31, 2022, Martinez Company shipped $2,400 worth of goods to a customer, FOB destination. The goods arrived on January 5, 2023. Because the goods were not on hand, they were not included in the physical inventory count.
(f) Martinez Company, as the consignee, had goods on consignment that cost $2,700. Because these goods were on hand as of December 31, 2022, they were included in the physical inventory count.
Analyze the above information and calculate a corrected amount for the ending inventory.
What is the value of x in the equation 4/3/10
please someone help me with this ASAP with the workout!!
Answer:
71 degrees
Step-by-step explanation
From the triangle shown;
YX² = YZ² + XZ² - 2(YZ)(XZ) cos Z
28² = 25² + 23² - 2(25)(23) cos Z
784 = 625 + 529- 1150 cos Z
784 - 1154 = -1150cos Z
-370 = -1150cos Z
cos Z = 370/1150
cos Z = 37/115
cos Z = 0.3217
Z = arccos 0.3217
Z = 71.23
hence the measure of <Z is 71 degrees
She walks 2 minutes for every 5 she runs. If she walks for 12 minutes how many minutes does she spend running?
Determine which of the following statements is true for the function
g(x) = 4x5 - 3x6 + 2x3 - 1.
Step-by-step explanation:
4×5-3×6+2×3-1
20-18+6-1
2+6-1
8-1
7
17. Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest
tenth.
15
51
a x = 19.3, y = 12.1
b. x 23.8, y = 18.5
C. x = 12.1, y = 19.3
d. x = 18.5, y = 23.8
Answer:
C.
Step-by-step explanation:
The answer should be less than 15 for x since its the smallest side and C is the only answer that has that.
A photograph measuring 4 inches wide and 5 inches long is enlarged to make
a wall mural. If the mural is 100 inches wide, how long is the mural?
A. 500 inches
B. 400 inches
C. 125 inches
D. 80 inches
Answer:
150 inch
Step-by-step explanation:
4x = 120 · 5
4x = 600
x = 600 ÷ 4
x = 150 inches
n. A jury consists of 12 members, and each member must vote either guilty or not guilty. Assume that the vote of each member is independent Suppose that the probability that a juror votes correctly (i.e. in line with the actual innocence/guilt of the person on trial) is 70% What is the probability that there is an inconclusive (tied) voting outcome
Answer:
0.0792 = 7.92% probability that there is an inconclusive (tied) voting outcome
Step-by-step explanation:
For each juror, there are only two possible outcomes. Either they vote correctly, or they do not. The probability of a juror voting correctly is independent of any other juror. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
12 members
This means that [tex]n = 12[/tex]
Suppose that the probability that a juror votes correctly (i.e. in line with the actual innocence/guilt of the person on trial) is 70%
This means that [tex]p = 0.7[/tex]
What is the probability that there is an inconclusive (tied) voting outcome?
Same number(12/2 = 6) of votes for each option, so P(X = 6).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{12,6}.(0.7)^{6}.(0.3)^{6} = 0.0792[/tex]
0.0792 = 7.92% probability that there is an inconclusive (tied) voting outcome
-2a + 5b + 6a + 8b combine like terms
Answer:
4a + 13b
Step-by-step explanation:
-2a + 5b + 6a + 8b
combine like terms:
4a + 13b
Answer:
4a+13b
Step-by-step explanation:
-2a+6a+5b+8b. group like terms
4a+13b
Quadrilateral ABCD is rotated 90° about the origin. What are the coordinates
of quadrilateral A'B'C'D?
Answer:
Its A
Step-by-step explanation:
Answer:
A'(5,-5) ,B'(1,-5) ,C'(1,-2) ,D'(5,-1)
How does the slope of g(x) compare to the slope of f(x)? f(x) g(x) O The slope of g(x) is the opposite of the slope of f(x). O The slope of g(x) is less than the slope of f(x). The slope of g(x) is greater than the slope of f(x). O The slope of g(x) is equal to the slope of f(x). 43_-2-14 5 X -2
Answer: Tell me if i am wrong
The answer is 'The slope of g(x) is less than the slope of f(x)'
Step-by-step explanation:
Given the graphs of f(x) and g(x). we have to compare the slops of these two.
The graph of f(x) passes through the points (1,0) and (2,2)
∴ The slope of [tex]f(x) = \frac{y2-y1}{x2-x1}=\frac{2-0}{2-1} = 2[/tex]
The graph of g(x) passes through the points (0,2) and (2,3)
∴ The slope of [tex]g(x)=\frac{y2-y1}{x2-x1} =\frac{3-0}{2-0} =\frac{1}{2}[/tex]
As [tex]\frac{1}{2} <2[/tex]
This shows that the
The slope of g(x) is less than the slope of f(x).
Determine the slope between these these points
Answer:
-12/5
Step-by-step explanation:
Please no links or flies, x .
The table shows how a 2-acre piece of land is split into 4 sections for holding animals. How many acres are used for horses?
Goats 35 acre
Pigs 15 acre
Llamas 25 acre
Horses ??
???/5
PLEASE ANSWERRRRR
9514 1404 393
Answer:
4/5 acre
Step-by-step explanation:
We assume your allocations are ...
goats: 3/5 acre
pigs: 1/5 acre
llamas: 2/5 acre
2 acres is 10/5 acres, so the remaining area is ...
10/5 -3/5 -1/5 -2/5 = (10 -3 -1 -2)/5 = 4/5
4/5 acre is allocated to horses.
Which is equal to the cos ÐR?
PLEASE HELP ME
Answer: 4/5 = .8
cos adj/hyp of r is .8
HOWEVER...
I’m assuming it’s talking about angle R...
What is the measure of AC?
D
30°
90 E
90° B
A. 1200
B. 150°
C. 90°
с
O D. 30°
Help what type of function is this