The tree diagram represents an
experiment consisting of two trials.
5
6 3
5
B
P(A and D) = [?]
![The Tree Diagram Represents Anexperiment Consisting Of Two Trials.56 35BP(A And D) = [?]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/Khk1yCUYHdZORKLOGZdW72HSkTiadYZl.png)
Answers
===============================================
Explanation:
Highlight the path that starts with A and then leads to D
Multiply the values highlighted to get 0.5*0.6 = 0.3
Effectively we've computed the following
P(A and D) = P(A)*P(D given A)
P(A and D) = 0.5*0.6
P(A and D) = 0.3
The notation "D given A" indicates we know event A has happened. We cannot simply say P(D) because there is another event D that happens on the lower branch B; so instead we say P(D given A). You can replace the word "given" with a vertical bar to write P(D | A), though in my opinion the vertical bar could be easily mistaken for the uppercase letter i, a lowercase letter L, or the numeric digit "one". I find its easier to describe what is going on rather than use the vertical bar notation.
Related Questions
if cos(x)=-1/4 and tan(x)<0 what is sin(2x)
Answers
By definition of tangent,
tan(x) = sin(x) / cos(x)
so if tan(x) < 0, and we're given cos(x) = -1/4 < 0, then it follows that sin(x) > 0.
Recall the Pythagorean identity:
cos²(x) + sin²(x) = 1 → sin(x) = + √(1 - cos²(x))
Then
sin(x) = √(1 - (-1/4)²) = √(15/16) = √(15)/4
Recall the double angle identity:
sin(2x) = 2 sin(x) cos(x)
Then
sin(2x) = 2 • √(15)/4 • (-1/4) = -2√(15)/16 = -√(15)/8
use prime factors to find hcf of 18 12 56
Answers
Answer:
2 to the power of six times 3 cubed times seven.
Step-by-step explanation:
The prime factors of 56 are 2 cubed times 7 and the prime factors of 18 are 2 times 3 squared The prime factors of 12 are 2 squared times 3.
A factor is a number that divides another number, leaving no remainder
The highest common factor of 18, 12, and 56 using prime factors is 2.
What is a factor?A factor is a number that divides another number, leaving no remainder
Example: 12 = 4 x 3 where 4 and 3 are the factors of 12.
We have,
18, 12, and 56
The factors of each number are:
18 = 2 x 9, 3 x 6, 18 x 1
So the factors of 18 are 2, 3, 6, 9, and 18.
12 = 2 x 6, 3 x 4, 12 x 1
So the factors of 12 are 2, 3, 4, 6, and 12.
56 = 2 x 28, 4 x 14, 7 x 8, 14 x 4
So the factors of 56 are 2, 4, 7, 8, 14, and 28.
Thus,
The highest common factor of 18, 12, and 56 using prime factors is 2.
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Maria wants to buy a new couch that costs $850. She already has $250 in her piggy
bank and she is going to put away $40 per week. How long will it take for her to have
enough money to buy the couch?
Answers
Answer:
15 weeks
Step-by-step explanation:
850-250= 600
40*15= 600
A student solves the following equation and determines that the solution is −2. Is the student correct? Explain.
3/a + 2 − 6a/a2 − 4 = 1/a − 2
Answers
Answer:
No, the student did not check the solution to the derived equation in the original equation.
No, a possible solution is a = –2, but it does not check in the original equation because it makes two of the denominators equal to zero.
No, a = –2 is an extraneous solution, and there is no solution to the original rational equation.
Step-by-step explanation:
just did on edge good luck!
The student is wrong in his answer to the equation
3/a + 2 − 6a/2a − 4 = 1/a − 2 is - 2, the correct answer is 2/3.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, 3/a + 2 − 6a/2a − 4 = 1/a − 2.
3/a + 2 - 3 - 4 = 1/a - 2.
3/a - 1/a = 3.
2/a = 3.
a/2 = 1/3.
a = 2/3.
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Please help with the question below in the picture.
Answers
Answer:
Both ate 52 degrees
Step-by-step explanation:
You can find the measure of angle 5 by subtracting 128 from 180, which equals 52. From there you can deduct that angles 3 and 1 are congruent to 5, making them both 52 degrees.
Please can someone help me solve this!! :))
Answers
Answer:
A"(-1, -3), B"(-2, -6), C"(1,-7)
Step-by-step explanation:
y= -4 is a horizontal line that cuts y-axis at (0, -4)
A'(-4, -5), B'(-5,-2), C'(-2,-1) are given on thhe graph
first we reflect over the line m, y= -4
A"(-4, -3), B"(-5, -6), C"(-2,-7) because the line m is the bisector of what conects the image and preimage points
second we translate T(3,0) so you add a 3 to the x coordinate of each point
A"(-4+3, -3), B"(-5+3, -6), C"(-2+3,-7)
A"(-1, -3), B"(-2, -6), C"(1,-7)
Find the equation of the straight line passing through the point (0,2) which is perpendicular to the line y=1/4x+5
Please help.
Answers
Then you substitute the new gradient and the coordinates of the point into the eq’n of a line
2=-4(0)+c
2=c
Then the substitute the new gradient and the y intercept into the line eq’n
Answer
Y=-4x+2
what’s the slope of (1,18) and (9,9)
Answers
Answer:
-9/8
Step-by-step explanation:
m=y2-y1/x2-x1
9-18=(-9)
9-1=8
-9/8
hope this helps :3
if it did pls mark brainliest
Answer:
Step-by-step explanation:
(x₁, y₁ ) = (1 , 18 ) & (x₂ , y₂) = ( 9 , 9)
[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x-{1}}\\\\[/tex]
[tex]= \frac{9 - 18}{9 - 1}\\\\\\= \frac{-9}{8}\\[/tex]
Perry wants to project a movie from his phone to a screen on the wall. The side length of the screen is 56 inches. The scale from the screen to the phone is 7 inches to 1 inch. What is the side length of perry's phone?
Answers
Answer: The side length is eight inches.
Step-by-step explanation: 56/7 because of 1/7 scale. Which = 8
Ex plane how knowing 50 x 4 = 200 helps you find 500 x 400
Answers
Answer:
Step-by-step explanation:
if you know 50*4=200, you must also know that 50*10=500 and that 4*100=400 so 500*400= 50*10*4*100
multiplication is comutative so
50*4*10*100=200*1,000= 200, 000
Answer:
500×400=
5×4=20
=20+(4 of zero)0000
200000
=200,000
Plz help asap with a explanation of why that’s the answer
Answers
Answer:
1st option
Step-by-step explanation:
y = 1/2x + 2
Answer:
the first one
remember. y=mx+b
mx= slope
b= y intercept
the slope is positive and the slope is rise over run. the y intercept is when the line the y axis (doesn't matter if it is negative or positive). this makes it a positive two
-4x-(3+x)-1-5xsquared
Answers
Answer:
e
Step-by-step explanation:
You are measuring temperature using a thermometer that gives degrees in Fahrenheit. You want to know what the temperature is in degrees Celsius. This formula converts temperatures from degrees Celsius to degrees Fahrenheit: F = 9/5 C + 32. Rewrite this formula to convert Fahrenheit to Celsius. In your answer, use fractions instead of decimal numbers.
Answers
Answer:
C = 5/9(F - 32)
Step-by-step explanation:
Given:
F = 9/5 C + 32
Convert Fahrenheit to Celsius:
Computation:
F = 9/5 C + 32
F - 32 = 9/5 C
5[F - 32] = 9C
C = 5/9(F - 32)
Mr. Pilgrim has a square backyard with an area of 3,600 meters. What is the perimeter of his fence?
Answers
Answer:
Perimeter of his fence = 120 m
Step-by-step explanation:
Given:
Area of square land = 3,600 m²
Find:
Perimeter of his fence
Computation:
Area of square land = 3,600 m²
4a² = 3,600 m²
a² = 900 m²
a = 30 m
Perimeter of his fence = 4a
Perimeter of his fence = 4 x 30
Perimeter of his fence = 120 m
4y-7=5 what is the answer
Answers
Hehehhehe
The value of y varies directly with x. If x = 4, then y = 20.
What is the value of x when y = 60?
5
7
12
44
Answers
Answer:
12
Step-by-step explanation:
[tex]\frac{60}{20}[/tex] = 3, so if it varies directly with x then its 4 x 3 which is 12
Answer:
12
Step-by-step explanation:
I took the test thats the correct answer
The spoke of a wheel is 35 cm. How far does the wheel travel in 1 rotation. Give your answer in meters and use pi = 22/7.
Answers
Answer:
2.2 m
Step-by-step explanation:
Assuming that spoke refers to the radius (r) of the wheel, you can determine the circumference of the wheel using 2(pi)(r).
2 x (22/7) x 35cm
= 220cm
As this answer is in cm, it needs to be converted to m to be a correct answer. As 1m = 100cm, 220cm x 0.01 = 2.2m
Vivi is a drummer for a band. She burns 756756756 calories while drumming for 333 hours. She burns the same number of calories each hour.How many calories does Vivi burn per hour?
Answers
Answer:
2,272,542.81
Step-by-step explanation:
756756756/333=2,272,542.81
Scrambled: Use all four of number
set to create the first number You
must use each number once, and you
can use any combination of the four
basic operations (1. - X. =).
7: 1,3,7,2
Answers
7 * 1 * 1 = 7
Need answer ASAP will give brainliest check out the picture the answrs: 2, 65, 69, 60, 120, 89, and 30
Answers
The total of the shape is 180 so it telling us to take away 1/3 of it so 60 away from 180 is 120
NEED HELP ASAP
Estimate the sum of 3.19 + 1.69 = ________ by rounding each addend to the nearest tenth.
A. 3
B. 3.9
C. 4
D. 4.9
Answers
Answer:
D
Step-by-step explanation:
3.19 become 3.20 . 1.69 becomes 1.70. Then 3.20 plus 1.70 is 4.90 or 4.9.
Answer:
D. 4.9
3.19 -> 3.2
1.69 -> 1.7
3.2 + 1.7 = 4.9
MATH HELP ASAP! MARKING BRIANLISTT!! INEQUALITYS
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Arrow shows to the right which means all numbers equal to 18 and greater than 18
MARKING BRAINLIESTTT!!!!
Felipe has a recipe for peanut butter dog treats. What is the ratio of cups of flour to tablespoons of peanut butter if Felipe makes 3 batches of dog treats? Show your work.
(Ingredient). (amount)
Peanut butter 4 tbsp
Flour. 1 cup
Egg. 1
Water. 2 tbsp
Solution:
Answers
The ratio of cups of flour to tablespoons of peanut butter if Felipe makes 3 batches of dog treats is, 1/4
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
Felipe makes 3 batches of dog treats
The recipe for peanut butter dog treats,
(Ingredient) (amount)
Peanut butter 4 tbsp
Flour 1 cup
Egg 1
Water 2 tbsp
For 3 batches
Peanut butter required = 3 × required for one batch
= 3 × 4
= 12 tbsp
Flour Required = 3 × required for one batch
= 3 × 1
= 3
the ratio of cups of flour to tablespoons of peanut butter = 3/12
= 1/4
Hence, the ratio is 1/4
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what is 0+0 plz tell me th anwer
Answers
Answer:
0
Step-by-step explanation:
god made it that way
I know that you already know what is 0+0
I don't know what this equals??
Answers
Answer:
A decagon has 10 sides so its interior angles add up to 180(10) - 360 = 1440 degrees. Therefore, on average, each interior angle is 144 degrees and each exterior angle is 36 degrees. The sum of the exterior angles is 10 x 36 = 360 degrees.
Step-by-step explanation:
The total sum of the interior angles of a simple decagon is 1440°
Gatorade come in two different sizes. A 16 ounce bottle costs 2.10 and a 20 ounce bottle costs $3.15. Which is the better buy and why?
Answers
20/ 3.15 = 6.3 ounces per $1
So which do you think?
Which polynomial is equivalent to (4n + 5)^2
A. 16n^2 + 20n + 25
B. 8n + 10
C. 16n^2 + 25
D. 16n^2 + 40n + 25
Answers
Answer:
(4n + 5)(4n+5)
16n^2+20n+20n+25
16n^2+40n+25
Answer is option D.
Mark brainliest!!
Answer:
D
Step-by-step explanation:
Help!! Asap due soon
Answers
Steps
Timothy has read 8/9 of the book Holes. Tara has read 2/3 of the book. Phillip reads 4/5 of the book. who read the most
Answers
Answer: Timothy
Step-by-step explanation:
8/9=0.8888888889
2/3=0.6666666667
4/5=0.8
I don't understand this math problem
Answers
Answer:
x = 4
Step-by-step explanation:
3(2x + 5) = 39
Distribute;
6x + 15 = 39
Subtract 15 from both sides;
6x = 24
Divide both sides by 6;
x = 4