Answers
The probability of F P(F) = 0.33 and the conditional probability of F given G P(F|G) = 0.24. F and G is associated since they are not independent.
What is conditional probabilityConditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome. The conditional probability P(A|B) occur only in the case of dependent events. It gives the conditional probability of A given that B has occurred.
P(F|G) = P(F∩G) / P(G)
P(F∩G) = Probability of happening of both F and G
P(F) = 199/600 = 0.3317
P(F∩G) = 79/600 = 0.1317
P(G) = 330/600 = 0.55
P(F|G) = 0.1317/0.55
P(F|G) = 0.2394.
Two events say A and B are independent if the probability of occurrence of one of them is not affected by the occurrence of the other, mathematical expressed as P(A ∩ B) = P(A) × P(B)
P(F) × P(G) = 0.3317 × 0.55
P(F) × P(G) = 0.1824
P(F∩G) is not equal to P(F) × P(G) from the data given.
Therefore, the probability of F P(F) = 0.33 and the conditional probability of F given G P(F|G) = 0.24. F and G is associated since they are not independent.
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Related Questions
WILL GIVE BRAINLIEST
(Theoretical Probability MC)
A set of 3 cards, spelling the word ADD, are placed face down on the table. Determine P(A, D) if two cards are randomly selected with replacement.
O
ها فيا
W|N
O
2/9
69
Answers
Answer:
Option 4 4/9
Step-by-step explanation:
how does the total price of the high energy lamp relate to the low energy lamp? how does the total price for the low energy lamps relate to the high energy lamps?
Answers
The quantitative quality that is transferred to a physical system or a body is known as energy, and it is evident in the production of heat and light as well as in the performance of work.
What is Work?
Work, It is defined as the energy that is applied to or removed from an object by applying force along a displacement. A constant force acting in the same direction as the motion, the work is simply equal to product of the force's magnitude and the distance traveled.
The total price of high-energy lamp is a whole-number multiple of 4. The total price of the low-energy lamp is a whole number multiple of 5.
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Complete Question :
An electrician has $120 to spend on interior light fixtures. The
wholesale price for a 13-watt low-energy lamp is $4. The price for a
high-energy lamp is $5.
How does the total price of the high energy lamp relate to the low energy lamp? how does the total price for the low energy lamps relate to the high energy lamps?
ordered pairs of x=7y+2
Answers
Answer: The equation x = 7y + 2 is a linear equation in two variables, x and y. To find ordered pairs of x and y that satisfy this equation, we can choose values of y and then solve for x.
For example, if we choose y = 0, then:
x = 7y + 2
x = 7(0) + 2
x = 2
Therefore, the ordered pair (2, 0) satisfies the equation x = 7y + 2.
Similarly, if we choose y = 1, then:
x = 7y + 2
x = 7(1) + 2
x = 9
Therefore, the ordered pair (9, 1) satisfies the equation x = 7y + 2.
We can continue in this manner to find more ordered pairs. However, note that there are infinitely many ordered pairs that satisfy this equation, as the equation represents a line with a slope of 7 and a y-intercept of (0, 2). Therefore, we can choose any value of y and obtain a corresponding value of x that satisfies the equation.
Step-by-step explanation:
Fully factorise the following expression in a suitable factor form x^2+6x+8
Answers
(x+2 (x+4)
I factored using the AC method.
The question is in the image
Answers
the positive value of "x" for the given quadratic equation will be 5.
What is a Quadratic equation?ax²+bx+c=0, with a not, equals 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
Given a quadratic equation, √(4x² - 4x + 1) = 9
Simplifying the value of the given equation to calculate the value of the variable "x",
Equation,
=> √(4x² - 4x + 1) = 9
Square both sides
=> (4x² - 4x + 1) = 81
=> 4x² - 4x - 80 = 0
Divide by 4 into both sides of the equation,
=> x² - x -20 = 0
Simplifying the equation using the factorization method,
=> x² - 5x + 4x - 20 = 0
=> x(x - 5) + 4(x - 5) = 0
=> x = -4
=> x = 5
Therefore, the positive value of "x" for the given quadratic equation will be 5.
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How can you use a math keyboard on your phone
Answers
Answer:
Once you have the cable, it will be simple to connect your phone to your laptop. On your phone, go to Settings and then the System page. Scroll down until you find the section entitled “OTG storage,” and turn on the option. When you connect the USB OTG cable to the physical keyboard, you will be able to use the keyboard to type on your phone.
Step-by-step explanation:
When Leslie first moved to Lime County one year ago, it had a population of about 711,500.
Today, the population in the county is about 697,270, and it is expected that the population
will continue to decline each year.
Write an exponential equation in the form y = a(b)* that can model the population of Lime
County, y, x years after Leslie moved there.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y =
Answers
The exponential equation that models the population of Lime County would be: y = 711,500(0.979)^x
How to find the values of a and b?We can use the information from the question. When Leslie moved to Lime County, the population was 711,500, i.e.:
When y=711,500, x=0.Currently, the population is around 697,270, that is: When y=697,270, x=1.Let's then use this information to set up two equations:
711,500=a(b)^0a=711,500697,270=a(b)¹b=697,270/aLet's now substitute the value of a into the second equation:
b=697,270/711,500=0.979Therefore, we find the exponential equation that models the population of Lime County, which is:
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HELP PLEASE FAST!!! How do I do this???
If a catapult launches a boulder at an initial height of 15ft and it hits the ground after 6.7 seconds.
a) What was the boulder's initial velocity?
b) What was the maximum height reached by the boulder?
Answers
The boulder's maximum height is 242.6 feet.
It takes the boulder 3.79 seconds to reach its maximum height
What is Motion?Motion is the phenomenon in which an object changes its position with respect to time. Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed.
here, we have,
From the question, we are to determine the maximum height of the boulder
First, we will calculate the time it took the boulder to reach its maximum height
Using the formula,
v = u - gt
Where v is the final velocity
u is the initial velocity
g is the acceleration due to gravity (g = 32.1741 ft/s²)
and t is the time
From the given information
u = 122 ft/s
At maximum height, v = 0 ft/s
Putting the parameters into the equation, we get
0 = 122 - 32.1741t
32.1741t = 122
t = 3.79 s
This means it takes the boulder 3.79 seconds to reach its maximum height.
Now, substitute the value of t into the function that gives the height of the boulder
From the given information,
The height of the boulder is given by
H(t)= -16t² + 122t + 10
Then,
H(3.79) = -16(3.79)² + 122(3.79) + 10
H(3.79) = -229.8256 + 462.38 + 10
H(3.79) = 242.5544
H(3.79) ≅ 242.6 ft
Hence, the boulder's maximum height is 242.6 feet.
It takes the boulder 3.79 seconds to reach its maximum height
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Draw and determine the equation of a trend line that modles the data set (1, 27.5), (4,35), (7,42.5), (10, 50), (13, 57.5)
Answers
Answer: To draw a trend line that models the given data set, we first need to plot the points on a graph. We can use a scale of 1 unit on the x-axis and 5 units on the y-axis to plot the points as follows:
(1, 27.5) ●
(4, 35) ●
(7, 42.5) ●
(10, 50) ●
(13, 57.5) ●
We can see that the points roughly form a straight line. To find the equation of the trend line, we can use linear regression, which involves finding the line that best fits the data.
Using a calculator or software, we can find that the equation of the trend line is:
y = 3.5x + 24
This means that for every increase of 1 unit in x, y increases by 3.5 units. The y-intercept of the trend line is 24, which represents the value of y when x = 0.
We can plot the trend line on the same graph as follows:
|
60 |-●-
| |
55 |-●-----
| |
50 |-●-------
| |
45 |-●--------
| |
40 |-●----------
| |
35 |-●------------
| |
30 |-●--------------
| |
25 |-●-----------------
| |
--------------------
1 4 7 10 13
The dots represent the original data points, and the line represents the trend line.
Step-by-step explanation:
timothy spent all his money in five stores. He spends 1$ more than half of what he has how much money dose he have when he enters the first store.
Answers
Since it doesn't make sense for Timothy to have negative money, we can conclude that there is no solution to this problem.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Let's assume that Timothy has x dollars when he enters the first store.
According to the problem, he spends 1 dollar more than half of what he has.
So, the amount he spends in the first store is:
1/2 * x + 1
After spending this amount, he will have:
x - (1/2 * x + 1) = 1/2 * x - 1
dollars left.
He then goes to the second store and spends 1 dollar more than half of what he has left, which is:
1/2 * (1/2 * x - 1) + 1 = 1/4 * x + 1/2
After spending this amount, he will have:
1/2 * x - 1 - (1/4 * x + 1/2) = 1/4 * x - 3/2
dollars left.
He repeats this process for each of the five stores.
Therefore, the amount of money Timothy has left after visiting all five stores is:
1/4 * x - 3/2 - (1/4 * x + 1/2) - (1/4 * x + 1/2) - (1/4 * x + 1/2) - (1/4 * x + 1/2) = -5/4 * x - 5
Since he has spent all his money, the amount of money he has left must be 0:
-5/4 * x - 5 = 0
Solving for x, we get:
x = -20
However, since it doesn't make sense for Timothy to have negative money, we can conclude that there is no solution to this problem.
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Find the value of x.
Answers
Given:-
[tex] \rm \: (3x+9)°[/tex][tex] \: [/tex]
[tex] \rm(4x +3) \degree[/tex][tex] \: [/tex]
Solution:-
[tex] \rm \: (3x+9)=(4x+3)[/tex][tex] \: [/tex]
[tex] \rm \: 3x + 9 = 4x + 3[/tex][tex] \: [/tex]
[tex] \rm \: 3x - 4x = 3 - 9[/tex][tex] \: [/tex]
[tex] \rm \: -1x = -6.[/tex][tex] \: [/tex]
[tex] \rm \: x = \cancel \frac{ - 6}{ - 1} [/tex][tex] \: [/tex]
[tex] \boxed{ \underline{\rm \purple{ \: \: x = 6 \: \: }}}[/tex][tex] \: [/tex]
Therefore , the value of x is 6 !
━━━━━━━━━━━━━━━━━━━━━━━
hope it helps! :)
Mary has $250 to spend. She buys gift cards for $130. She will use the rest of the money
to buy candy bars that cost $1.50 each. Which inequality can be used to find the greatest
number of candy bars she can buy with the rest of the money?
A. 130x+1.50 ≥250
B. 130x +1.50 ≤ 250
C. 130 +1.50x ≥ 250
D. 130 +1.50x ≤ 250
Answers
Answer:
Let's start by finding how much money Mary has left after buying the gift cards:
$250 - $130 = $120
Now, to find the greatest number of candy bars Mary can buy, we need to divide the amount of money she has left by the cost of each candy bar:
$120 ÷ $1.50 = 80
So Mary can buy up to 80 candy bars with the rest of her money.
We can check which inequality represents this situation by plugging in the numbers:
130 + 1.50x ≤ 250
where x represents the number of candy bars Mary buys.
If we subtract 130 from both sides, we get:
1.50x ≤ 120
Finally, if we divide both sides by 1.50, we get:
x ≤ 80
This matches our answer, so the correct inequality is:
D. 130 +1.50x ≤ 250
Answer:
D. 130 +1.50x ≤ 250
Step-by-step explanation:
250 - 130 = 120
1.50x = 120
What is the value of 40-2n, when n=2?
18
36
38
44
10 points
Answers
Answer: 36
Step-by-step explanation: plug in 3 for n.
40-2(2)= 36
I need help please!! It for geometry
Answers
Answer:
Rhombus and Square
Step-by-step explanation:
Perpendicular Diagonals mean that the diagonals intersect each other at a 90 degree angle always.
Rectangles do not intersect at a 90 degree angle, and parallelograms don't ALWAYS intersect at that angle.
However, rhombuses and squares do.
Suppose that the relation H is defined as follows.
H = {(−3, 8) , ( 0, -3) , (1, 3) , (1, -1)}
Give the domain and range of H.
Write your answers using set notation.
Domain = ?
Range = ?
Answers
The highest value and lowest value of x is domain, here domain is [1, -3]
The highest value and lowest value of y is range, here range is [8, -3].
What is domain and range?Mathematical operations are comparable to those of a soda vending machine. You can choose from a variety of sodas when you deposit a certain sum of money. Similar to how we input different numbers into functions, we also receive new numbers as the outcome. The two main characteristics of functions are domain and range.
A soda can be purchased with quarters and one dollar bills. If pennies are put into the machine, no soda flavour will be provided. As a result, the domain represents the possible inputs, which are quarters and one-dollar bills. No matter how much you pay, a soda machine won't give you a cheeseburger. The range represents the potential outputs we can have in this situation, that is, the flavors of soda in the machine.
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I'll give brainliest
Answers
The solution of the linear equation y = 15 x + 9 and y = 1/2 x - 20 is
x = -2
y = -21
How to solve the linear equationThe linear equation can be solved by graphical method to give the solution. The graph is attached
(-2, 21)
Using elimination method we have
y = 15 x + 9
y = 1/2 x - 20
subtracting will result to
0 = 14.5x + 29
-14.5x = 29
isolating x
x = 29 / -14.5
x = -2
substituting x = -2 into y = 15 x + 9
y = 15 (-2) + 9
y = -30 + 9
y = -21
Hence the solution is x = -2 and y = -21
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Write the following number in words: 3 811 459
Answers
Answer: three million eight hundred eleven thousand four hundred fifty nine
1 000 000 = million
100 000 = hundred thousand
10 000 = ten thousand
1 000 = one thousand
100 = one hundred
10 = ten
1 = one
When I would look at questions like this I would use this chart and replace the numbers and I found that this really helped
What is the area of triangle ABC?
Answers
The area of the triangle ABC is (c) 36√3 square units
How to determine the area of triangle ABC?From the question, we have the following parameters that can be used in our computation:
Side length, l = 12 units
Triangle type = Equilateral triangle
The side lengths of an equilateral triangle are congruent, and the area of a triangle is equal to half of the product of the base and the height of the triangle.
Using the above as a guide, we have the following:
Area = 1/4√3 * l^2
Substitute the known values in the above equation, so, we have the following representation
Area = 1/4√3 * 12^2
Evaluate
Area = 36√3
Hence the area is 36√3
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a machine can produce article A in 12 minutes or article B in 16 minutes. If it is planned to produce twice as many of A as B in a working week of 40 hours how many of each will be produced. Assuming that the machine is working nonstop.
Answers
In a working week of 40 hours, 120 articles A and 60 articles B will be produced.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, 'a' be the number of articles A produced and 'b' be the number of articles B produced.
Therefore, From the given information the equation can be modeled as,
12a + 16b = 60×40.
12a + 16b = 2400, and a = 2b.
12×2b + 16b = 2400.
24b + 16b = 2400.
40b = 2400.
b = 60 and hence a = 120.
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which of the following is a set of complementary angles ?
(PLEASE HELP THIS IS DUE TODAY!!!!)
Answers
The pair of complementary angles is the one in the last option:
BFC and DFE
Which is a set of complementary angles?Two angles A and B are complementary if their measures add upto 90°, on the diagram we can see that the angles defined are:
AFB = 40°
BFC = 60°
CFD = 50°
DFE = 30°
Now just see which pairs of these angles add up to 90 degrees, these pairs are complementary angles.
Then the sets of complementary angles are:
AFB and CFD
BFC and DFE
So the correct option is the last one.
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10 cooks working for 8 hours each, can prepare a meal for 536 people. How many cooks will be needed to prepare a meal for 737 people if they are required to prepare the meal in 5 hours?
Answers
Answer:
737 cooks are required to prepare a meal for 737 people in 5 hours
Step-by-step explanation:
According to the given information, 10 cooks can prepare a meal for 536 people working for 8 hours each.
Let's calculate the total work done by the 10 cooks in 8 hours.
Total work done = Number of cooks * Hours worked
Total work done = 10 * 8 = 80
Now, let's calculate the work done by one cook in one hour.
Work done by one cook in one hour = Total work done / (Number of cooks * Hours worked)
Work done by one cook in one hour = 80 / (10 * 8) = 1
Therefore, one cook can prepare food for 1 person in 1 hour.
Now, let's calculate the number of cooks required to prepare a meal for 737 people in 5 hours.
Total work required = Number of people * Hours required
Total work required = 737 * 5 = 3685
Number of cooks required = Total work required / (Hours worked * Work done by one cook)
Number of cooks required = 3685 / (5 * 1) = 737
Therefore, 737 cooks are required to prepare a meal for 737 people in 5 hours.
5. My sisters were having a
lemonade stand. They
made 2 gallon of
lemonade. If they divided it
equally into 6 cups, how
much lemonade was in
each cup?
Answers
there are 3 cups of lemonade in each cup
Brad is standing on a hill which places him at the same height as a nearby flagpole. The flagpole is 15 ft. high and Brad is 20 ft. horizontally from the top of the pole. Brad can see the bottom of the flag pole.
What is the length in feet of Brad's "line of sight" to the base of the flagpole?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answers
Answer:
your ans please mark me brainiest
CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION?
Answers
The trigonometric ratio for the cosine of the angle W derived as 48.18712, is equal to 0.6667.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
cos W = 10/15 {adjacent/hypotenuse}
cos W = 2/3
W = cos⁻¹(2/3) {cross multiplication}
W = 48.18712
cos W = cos 48.18712
Therefore, the cosine of the angle W is equal to using the trigonometric ratio.
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d) El automóvil de Julián recorre aproximadamente 12 km por
cada litro de gasolina. ¿Cuántos litros necesitaría para re-
correr 180 km?
Answers
We will see that the car needs 15 liters to travel the 180 km.
How many liters would he need to travel 180 km?We know that this car travels 12 km for each liter of gasoline, so we must see how many times there are 12 kilometers in 180 km, then we must take the quotient:
180km/12km = 15
And for each one of those times, the car consumes one liter, so in total there are 15*1 l = 15 l
The car needs 15 liters to travel 180 km.
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36% of a prize pool = $45
So 1% of the prize pool =
Answers
45 divided by 36 = 1.25
Consider parallelogram ABCD below.
Use the information given in the figure to find x, m
Answers
Answer:
x = 3 ; ∠m B = 85° ; ∠m BAC = 34°
Step-by-step explanation:
Opposite sides of a parallelogram are equal. If 2x = 6, then x must be equal to 3. The same idea goes for angles. Since angle D measures 85°, angle B must as well. Using the formula 180°(n-2), where n = number of sides, it is seen that there are 180°(2) = 360° in a four sided shape. Knowing two of them, we can subtract 85*2 from 360 to find the rest of the degrees. 360° - 170° = 190°. Since the other two angles are equal as well, 190°/2 = 95°. Since ∠m DAC = 61°, ∠m BAC must equal 95°-61°, which is equal to 34°
Calculate the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag.
Answers
The probability is approximately 0.129
How to calculate the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag.To calculate the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag, we need to use the binomial probability formula:
P(X >= 48) = 1 - P(X < 48)
Where
X is the number of orange Stattles in a 14 ounce bag P(X < 48) is the probability of getting less than 48 orange Stattles in a 14 ounce bagTo calculate P(X < 48), we need to use the binomial probability formula:
P(X = x) = (nCx) * p^x * q^(n-x)
Where
n is the number of Stattles in a 14 ounce bag (we don't know this value)x is the number of orange Stattles in a 14 ounce bag (we want to find the probability of getting less than 48) p is the probability of getting an orange Stattle (0.4)q is the probability of getting a non-orange Stattle (0.6) nCx is the binomial coefficientnCx is the binomial coefficient, which can be calculated using the formula:
nCx = n! / (x! * (n-x)!)
where ! denotes the factorial function.
We can use a cumulative binomial distribution table or a binomial calculator to find the probability of getting less than 48 orange Stattles in a 14 ounce bag. For example, using an online calculator, we find that:
P(X < 48) = 0.871
Therefore, the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag is:
P(X >= 48) = 1 - P(X < 48) = 1 - 0.871 = 0.129
So, the probability is approximately 0.129 or 12.9%.
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the triangle below is isosceles.find the length of side X in simplest radical form with a rational denominator.
Answers
the answer is r6 because of the end result
Mr. Parker left half of his estate to his wife, 40,000$ to his daughter, half of what remained to his butler, and the remaining 6,000 to charity. what was the value of his estate
Answers
Answer:
c
Step-by-step explanation:
So what you need to do is split who is part of each:
1/2:
Wife:$?
1/2:
Daughter:$40,000
Butler:$?
Charity:$6,000
This makes it much easier to see as you know the charity and Butler received the same amount. You take your total (x) and do a simple equation of x=$40,000+6,000+6,000 as you know the butler must have also received the $6,000 the charity did. You will get x=$52,000 and you know that is half of the estate as he gave the other half to his wife. This is the same as knowing the butler and charity received the same amount as halves are equal to each other. SO now all you have to do is add $52,000+$52,000=$104,000 getting your answer.