The corresponding joint probability distribution is:
X\Y 0 1
0 1/12 1/4
1 1/6 1/2
Since X and Y are independent, the joint probability distribution is simply the product of their marginal probability distributions:
f(x,y) = f(x) × f(y)
Therefore, we have:
f(0,0) = f(0) ×f(0) = (1/3) × (1/4) = 1/12
f(0,1) = f(0) × f(1) = (1/3) × (3/4) = 1/4
f(1,0) = f(1) × f(0) = (2/3) × (1/4) = 1/6
f(1,1) = f(1) ×f(1) = (2/3) × (3/4) = 1/2
Therefore, the corresponding joint probability distribution is:
X\Y 0 1
0 1/12 1/4
1 1/6 1/2
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Warren is tiling his bathroom. He wants to cut three different sizes of square tiles. Tile A must be 5 square inches, tile B must be 10 square inches, and tile C must be 15 square inches. He needs to know the side length of each tile. Part A In the table, note your guesses and checks to find the length of tile A, which has an area of 5 square inches. Estimate the value to five decimal places.
Answer:
2.36068 inches
Step-by-step explanation:
Let us recall that the area of a square is given by;
A = l^2
This is because, all the sides of a square are equal hence l=b
When A = 5 square inches
5 = l^2
l = √5
l = 2.36068 inches
Answer:
Guess Check
2.2 2.22 = 4.84 (low)
2.23 2.232 = 4.9729 (low)
2.236 2.2362 = 4.999696 (slightly low)
2.23606 2.236062 = 4.9999643236 (slightly low)
2.23607 2.236072 = 5.0000090449 (closest)
Step-by-step explanation:
(b) A circle has radius 26 cm and length of its chord is 48 cm. Find how far is the
chord from the centre of the circle?
Answer:
22cm
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What unit should be used to calculating fundraising for field trip
Answer:
the mcps i think
Step-by-step explanation:
Im not sure :/
Evaluate the expression,
if x = 9, y = 14, and z = 6.
X•y-z2
Answer:
90
Step-by-step explanation:
6^2=36
9*14=126
126-36=90
Answer:
90
Step-by-step explanation:
X ° Y - z2 =
9 x 14 - 6 x 6 =
126 - 6 x 6 =
126 - 36 = 90
Bodmas is used for this equation, the order of the sums that you should do:
1. The sum in the bracket
2. Division
3. Multiplication
4. Addition
5. Subtraction
Do it left to right, you can do division and multiplication and addition and subtraction too but it's based on left to right.
write the product using exponents
Answer:
11^5
Step-by-step explanation:
11^5 because your multiplying 11 by itself 5 times
Susie bought 6 yards of fabric to make scarves. She estimates that it takes 3/5 yard to make huge scarf. How many scarves can Susie make?
Solve for a, 7-a=3 A.10 B.4 C.2 D5
Answer:
B
Step-by-step explanation:
7 - a + 3
subtract 7 from both sides.
-a = 3 - 7
add like terms (3 + - 7)
-a = -4
divide both sides by -1. (remember that in front of the a, a 1 is there.)
a = 4
answer: b. 4
please help me on this will give you brainliest
Answer:
57.603
Step-by-step explanation:
We can separate this into two sections, using the and:
Fifty-seven - simply the whole number 57
Six hundred three thousandths - This could be intrepreted as 0.603, which is confirmed through the "3" being in the thousandths place.
Sorry that took so long! I had to think a bit about this one
1 + (2/3) - (-9/2) =
Answer:
- 4 1/6
Step-by-step explanation:
im not sure its right
I need help pleasee thank
Answer:
A=51
a=22.2
c=28.6
Step-by-step explanation:
∠A=180-90-39
=51
a/sin51=18/sin39
a=22.2
c/sin90=18/sin39
c=28.6
Answer:
A=51 degrees
a=14.6 units
c=30
Step-by-step explanation:
A=180-90-39=51
a= (a=a; o=18; angle=39)
Tan(39)=a/18
0.8=a/18
14.6=a
c= (h=c; o=18; angle=39)
Sin(39)=18/c
0.6=18/c
0.6c=18
c=30
Plzzzz give me brainliest! B)
6.please help this timed!!!
Answer:
X=2
Step-by-step explanation:
3x+y=11
(+)2x-y=-1 (Add so you get rid of the y's)
5x=10
5x/5=10/5
x=2
Find the product of (x + 5)(x − 5). Group of answer choices x2 − 10x + 25 x2 + 10x + 25 x2 − 25 x2 + 25
First I will tell you the formula for this, then I will show how we got the formula, then the answer.
Formula -> (x+a)(x-a)=x^2-a^2
We can find this by expanding the 2 ( )
(x+a)(x-a)=x^2+ax-ax-a^2=x^2-a^2
Now we can use this to solve your problem, the 5 is the a in the formula.
(x+5)(x-5)=x^2-5^2=x^2-25. Therefore choosing the 3rd answer choice.
Please help me 3x+y=-3
Answer:
x=0 y=-3
Step-by-step explanation:
Each time he read his book, Paul recorded the number of minutes he spent reading and the number of pages he read in that time. He graphed this information, and decided that number of pages and time are related proportionally. Which graph is most likely the graph of his information?
Answer:
it a i had the same one
Step-by-step explanation:
Lorenzo tiene 4 cajas de huevo, cada uno con 50 huevos y 3 cartones del mismo producto con 10 de ellos ¿Cuántos huevos hay en total?
Responder:
240 huevos
Explicación paso a paso:
Número de cajas de huevos = 4
Huevos por caja = 50
Total de huevos en caja = 50 * 4 = 200 huevos
Número de cajas = 3
Número de huevos por caja = 10
Total de huevos en caja = 10 * 4 = 40 huevos
Huevos totales = (huevos en caja + huevos en cartón)
Total = (200 + 40) = 240 huevos
hey can anybody solve this
Answer:
34ft.sq
Step-by-step explanation:
Area of the given triangle = 1/2 * base * height
=1/2*17*4
=17*2
=34 ft.sq
Answer:
34 ft²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 17 and h = 4 , then
A = [tex]\frac{1}{2}[/tex] × 17 × 4 = [tex]\frac{1}{2}[/tex] × 68 = 34 ft²
The image of the point (8,1) under a translation is (9,2). Find the coordinates of
the image of the point (5,5) under the same translation.
1-2-3-4-5-6-7-8-9-10
0.10)/%
How do you find 15% of 160?
A cereal box has a length of 9 inches, a width of 3 inches, and a height of 13 inches. What is the volume of the cereal box?
Answer:
351 is the answer to how much volume a cereal box has
Answer:
352
Step-by-step explanation:
all you do is multiply 9×3×13
Evaluate the function when x=−2, 0, and 5.
g(x)=3x−2
g(−2)=
g(0)=
g(5)=
I'm very confused, please help!
Answer:
Step-by-step explanation:
g(x)=3x−2
g(−2)= 3(-2) - 2 (after substituting -2 for x): g(-2) = -6 - 2 = -8
g(0)= 3(0) - 2 = -2
g(5)= 3(5) - 2 = 13
The winning times for a race are shown in the table.
Which answer describes the rate of change from year 2 to year 4?
- The winning time increased by an average of 0.267 second per year from year 2 to year 4.
- The winning time increased by an average of 0.8 second per year from year 2 to year 4.
- The winning time increased by an average of 0.4 second per year from year 2 to year 4.
- The winning time increased by an average of 0.475 second per year from year 2 to year 4.
Answer: The winning time increased by an average of 0.4 second per year from year 2 to year 4.
The winning time for a race displayed in the table would be:
C). The winning time increased by an average of 0.4 seconds per year from year 2 to year 4.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Find the increase in winning time:
Given that,
Year Winning Time(seconds)
1 27.5
2 28.4
3 28.7
4 29.2
5 29.44
Hence, The total change in the time is,
= (0. + 0.3 + 0.5 + 0.24)/4
= 0.485 seconds
Now, If we round off, it becomes 0.5 seconds.
Therefore, it can be considered that an average of 0.5 seconds changes every year from year 2 to 4.
Thus, ''Option C'' is the correct answer.
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a water cooler shaped like a rectangular prism has length of 80 centimeters a width of 40 centimeters and height of 100 centimeters what volume of water is needed to fill the water cooler
[tex]volume = lwh[/tex]
[tex]volume = (80)(40)(100)[/tex]
[tex]volume = 320000 \: {cm}^{3} [/tex]
You need a volume of 320000 cm³ of water to fill the water cooler.
GameStop is going out of business and everything is 60% off. What is
the new price of a game that regularly costs $58.99?
Answer:
With original price $58.99 and 60% off,
Final price: $23.60
Saved amount: $35.39
Step-by-step explanation:
Which is the simplified version of:
7x + 12 + 3x = -6 (x - 7) + 9x
A. 5x = -30
B. 7x = -54
C. 7x = 30
D. 7x = -19
PLEASE DON’T GUESS :(
Will mark brainliest if your rightƪ(˘⌣˘)ʃ
Answer:
The answer is letter D
Step-by-step explanation:
Answer:
7x+3x=10x
-6(x-7)= -6x+42
then 10x+12=-6x+42+9x
10x+12=3x+42
10-3=42_12
7x=30
then the correct answer is C
Use the Distributive Property to rewrite the algebraic expression. 7(6m + 7)
wrong answers reported
Step-by-step explanation:
first, distribute 7 to 6m (this means 7 • 6m)
7 • 6m = 42m
then distribute 7 to 7 (which is 7 • 7)
7 • 7 = 49
your simplified expression is 42m + 49. i hope this helps! have a great day <3
What is the simplified form of this expression? (-3x2 + x + 5) − (4x2 − 2x) A. 7x2 + 3x − 5 B. -7x2 + 3x + 5 C. X2 − x + 5 D. -x2 + 3x − 11
A pancake recipe calls for of a cup of powdered milk and cups of whole wheat flour for each batch of pancakes. If Ruby plans on making 4 batches of pancakes, how many combined cups of powdered milk and whole wheat flour does she need?
Answer:
8
Step-by-step explanation:
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PLEASEEE HELP 50 POINTS,
Suppose you were an American soldier in the American Revolution. You are asked to write a short essay about the person who most inspired the Continental army to win the war. You have chosen George Washington. The title of your essay is “How General Washington Inspired the Continental Army to Win the War.”
Your essay should have three paragraphs:
• The first paragraph describes characteristics of General Washington that prepared him for his role as commander of the Continental army.
• The second paragraph supports your choice by citing two events at which Washington provided inspiration.
• The third paragraph identifies how these actions or events led to an American victory.
Make sure to express your ideas clearly. Use evidence from the text!
Answer:
george washington
Step-by-step explanation:
solve this please for me
Answer:
c is answer plz see the pic it's the solution
On sale , the original price of every jacket in a store is reduced by 20% . Later , this sale price is further reduced by another 20% to create a final price . The store could have reduced the original price directly to the final price by what single percent ?
Answer:
40%
Step-by-step explanation:
20% + 20% = 40%
Hope this helps!