Instructions: Match each equations with correct type of event.
P(A) · P(BA)
P(A) + P(B)
PA and B)
P(A)
P(A) · P(B)
P(A) + P(B) - P(A and B)

Answers

Answer 1

The question is incomplete. Below you will find the missing contents.

The correct match of events with order are,

P(A)P(B|A) - Dependent event P(A)+P(B) - Mutually exclusive events P(A and B)/P(A) - Conditional events P(A) . P(B) - Independent Events P(A)+P(B) -P(A and B) - not Mutually exclusive events.

When two events A and B are independent then,

P(A and B)=P(A).P(B)

when A and B are dependent events then,

P(A and B) = P(A) . P(B|A)

When two events A and B are mutually exclusive events then,

P(A and B)=0

So, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B)

P(A) + P(B) = P(A or B)

When events are not mutually exclusive then the general relation is,

P(A or B) = P(A) + P(B) - P(A and B)

If the probability of the event B conditioned by A is given by,

[tex]\mathrm{P(B|A)=\frac{P(A~and~B)}{P(A)}}[/tex]

Hence the correct match are -

[tex]\mathrm{P(A)P(B|A)\rightarrow}[/tex] Dependent event [tex]\mathrm{P(A)+P(B)}\rightarrow[/tex] Mutually exclusive events [tex]\mathrm{\frac{P(A ~and ~B)}{P(A)}\rightarrow}[/tex] Conditional events [tex]\mathrm{P(A) . P(B)\rightarrow}[/tex] Independent Events [tex]\mathrm{P(A)+P(B) -P(A ~and ~B)\rightarrow}[/tex] not Mutually exclusive events.

Learn more about Probability of Events here -

https://brainly.com/question/79654680

#SPJ10

Instructions: Match Each Equations With Correct Type Of Event.P(A) P(BA)P(A) + P(B)PA And B)P(A)P(A)

Related Questions

Angle PQT and Angle SQR are supplementary angles. If the measure of PQT is (3x+43)° and the measure of Angle SQR is (6x-25)°, what is the numeric measure of Angle PQT and Angle SQR?

Answers

Answer:

∠PQT = 97°

∠SQR = 83°

Step-by-step explanation:

Supplementary angles sum to 180°

⇒ ∠PQT + ∠SQR = 180°

Given:

∠PQT = (3x + 43)°∠SQR = (6x - 25)°

Therefore:

⇒ (3x + 43) + (6x - 25) = 180

⇒ 3x + 6x + 43 - 25 = 180

⇒ 9x + 18 = 180

⇒ 9x = 162

⇒ x = 18

Substitute the found value of x into the expression for each angle:

⇒ ∠PQT = (3x + 43)°

⇒ ∠PQT = (3(18) + 43)°

⇒ ∠PQT = 97°

⇒ ∠SQR = (6x - 25)°

⇒ ∠SQR = (6(18) - 25)°

⇒ ∠SQR = 83°

Check

⇒ ∠PQT + ∠SQR = 97° + 83° = 180°

a + b = c
a + b + c =36

Given that a and b have the same value, work out the values of a,b and c

Answers

Answer:

a=9

b=9

c=18

Step-by-step explanation:

c(a+b)+a+b=36

2a+2b=36

a+b=18

c=18

URGENT 30 points I need help

Answers

Answer:

- 112 + 100 n

Step-by-step explanation:

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1 )d

~~~~~~~

[tex]a_{1}[/tex] = - 12

d = 100

[tex]a_{n}[/tex] = - 12 + 100( n - 1 )

[tex]a_{n}[/tex] = - 12 + 100n - 100

[tex]a_{n}[/tex] = - 112 + 100 n

The diagonal of a TV is 30 inches long. Assuming that this diagonal forms a pair of 30-60-90 right triangles, what are the exact length and width of the TV? A. 60 inches by 60,3 inches B. 602 inches by 60 2 inches O C. 15/2 inches by 15/2 inches OD. 15 inches by 15√3 inches​

Answers

The dimensions of the TV are 15 inches by  (√3)*15 inches, so the correct option is D.

How to get the length and the width of the TV?

We can think of this as a right triangle, where the hypotenuse measures 30 inches, and the angles of the triangle are 30°, 60° and 90°.

If we step on the 30° angle, the length will be the opposite cathetus, then we can use the trigonometric relation:

sin(θ) = (opposite cathetus)/(hypotenuse).

Replacing what we know:

sin(30°) = length/30 in

length = sin(30°)*30in = (1/2)*30 in = 15in

And the adjacent cathetus will be the width, then we can use:

cos(θ) = (adjacent cathetus)/(hypotenuse).

Replacing what we know:

cos(30°) = width/(30 in)

width = cos(30°)*30in = (√3/2)*30in = (√3)*15in

Then the dimensions of the TV are 15 inches by  (√3)*15 inches, so the correct option is D.

If you want to learn more about right triangles:

https://brainly.com/question/2217700

#SPJ1

Liz earns a salary of $2,200 per month, plus a commission of 5% of her sales. She wants to earn at least
$2,500 this month. Enter an inequality to find amounts of sales that will meet her goal.your
variable represents. Enter the commission rate as a decimal.

Answers

Answer:

2200 + 0.5x >= 2500

Step-by-step explanation:

x is the amount of sales

HELP! ASAP!
2.A cube-shaped plant box has edges that are 13 cm long. The plant box is filled with potting soil that has a density of 1.33 g/cm³.

(a) Is it safe to place the plant box on a window ledge that can support a maximum weight of 2400 grams? Explain why or why not.
(b) Would the density of the soil change if the plant box was only half full? Explain.

Answers

Step-by-step explanation:

2.

the volume of the box is

length × width × height = 13×13×13 = 13³ = 2197 cm³

the ratio of the density indignation tells us that every cm³ of soil weighs 1.33 g (or every unit of 1.33g soil fits into 1 cm³).

we have 2197 cm³.

their weight is

2197 × 1.33 = 2,922.01 g

so, the filled box clearly exceeds the max. weight of the window ledge, and it is NOT safe to put it there.

b

yes, it would be a little bit less dense.

because every bit of weight you put on top of something increases the pressure on and therefore the density of that something.

3a =2b + -6 (solve for a)

Answers

Answer:

shown below

Step-by-step explanation:

3a = 2b - 6

a = (2b - 6) / 3 or 2b / 3 - 2

Answer:

a = (2b-6)/3

Step-by-step explanation:

3a = 2b + -6

lets make a the subject of the formula

divide both sides of the equation by 3

3a/3 = a = (2b-6)/3

a = (2b-6)/3

i need help. Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (5 points)
Part B: Are there any outliers present for either data set? Justify your answer mathematically. (5 points)

Answers

Five number summary and IQR of both the data sets are different.

For school A: Minimum=6, Q₁=6.5, Median= 14, Q₃=16, Maximum=17, IQR=9.5

For school B: Minimum=5, Q₁=8, Median= 12, Q₃=15.5, Maximum=19, IQR=7.5

No, the box plots are not symmetric.

Part A:

The given data sets are

School A : 9,14,15,17,17,7,15,6,6

School B : 12,8,13,11,19,15,16,5,8

Arrange the data in ascending order.

School A : 6,6,7,9,14,15,15,17,17

School B : 5,8,8,11,12,13,15,16,19

Divide each data set into four equal parts.

School A : (6,6),(7,9),14,(15,15),(17,17)

School B : (5,8),(8,11),12,(13,15),(16,19)

For school A:

Minimum=6, Q₁=6.5, Median= 14, Q₃=16, Maximum=17

The interquartile range of the data is

For school B:

Minimum=5, Q₁=8, Median= 12, Q₃=15.5, Maximum=19

[tex]IQR=Q_3-Q_1\\ =Q_3-Q_1\\ =16-6.2\\ =9.5[/tex]

The interquartile range of the data is

[tex]IQR=Q_3-Q_1\\ =Q_3-Q_1\\ =15.5-8\\ =7.5[/tex]

Part B:

The box plots are not symmetric because the data values are different. Five number summary and IQR of both the data sets are different.

To learn more about the symmetric visit:

https://brainly.com/question/1002723

#SPJ1

Find the product write your answer in exponential form 7^-1•7^-7

Answers

Answer:

1/5764801

Step-by-step explanation:

7^-1 × 7^-7

= 1/7(7^-7)

= 1/7(1/823543)

= 1/5764801

Put the steps in order to solve the literal equation for y in terms of x.
6x+2y+ 8 = 180

Answers

Answer:

x = [tex]\frac{172-2y}{6}[/tex]

Step-by-step explanation:

6x + 2y + 8 = 180 ( subtract 8 from both sides )

6x + 2y = 172 ( subtract 2y from both sides )

6x = 172 - 2y ( divide both sides by 6 )

x = [tex]\frac{172-2y}{6}[/tex]

binomial expansion of (2+3x)^5

Answers

32 + 240x + 720x^2 +1080x^3 + 810x^4 + 243x^5

Given the following functions, find and simplify (f+g)(-2).
Do not include "(f+g)(-2)=" in your answer.
f(x) = -3x² - 2x
g(x) = -2x +3

Answers

Answer:

43

Step-by-step explanation:

because if you add it up thats how you get that

833.30/
1-(1+0.00833)^-360

Answers

Answer:

833.25 or 877.59

Step-by-step explanation:

I solved this in two different ways because I wasn't sure on how the question was meant to be read.

Attempt 1:

(833.3/1)-(1+0.00833)^-360

(1+0.00833)^-360 = 0.0505

so:

833.3 - 0.0505 = 833.25

Attempt 2:

833.3/(1-(1+0.00833)^-360)

1- 0.0505 = 0.9495

833.3/0.9495 = 877.59

please help ive been stuck on this question.

Answers

The value of the expression 8 / m - 11 / 3m is  13 / 3m

How to simplify an expression?

8 / m - 11 / 3m

Therefore,

8 / m - 11 / 3m

The factor of the denominator is 3m

Therefore,

8 / m - 11 / 3m = 3(8) - 11/ 3m

3(8) - 11/ 3m = 24 - 11 / 3m

24 - 11 / 3m = 13 / 3m

learn more on fraction here: https://brainly.com/question/24161414

#SPJ1

Determine whether or not each of the following is a partition of set N of natural numbers. (With reason)
(a) {{n | n > 5}, {n | n < 5}]
(b) [{n | n > 6}, {1, 3,5} , {2, 4}]
(c) {{n | n^2 > 11}, {n | n^2 < 11}

Answers

Only Set B  is a partition of set N of natural numbers .

What are Natural Numbers ?

Numbers starting from 1 to infinity comes under Natural Numbers.

It is asked in the question that to determine whether or not each of the following is a partition of set N of natural numbers

A  ) {{n | n > 5}, {n | n < 5}]

It is not a set of natural numbers as it does not include 5.

B  )  [{n | n ≥ 6}, {1, 3,5} , {2, 4}]

{1,3,5} {2,4}and {n|n≥6} include all the natural numbers

Therefore , it forms a partition of N.

C ) {{n | n^2 > 11}, {n | n^2 < 11}

Every natural number n must satisfy either n^2 > 11 or n^2 < 11

This cannot be possible , therefore it is not the partition of Natural Numbers.

To know more about Natural Numbers

https://brainly.com/question/17429689

#SPJ1

What is the slope of this line? the equation for a line that passes through the points (5,-3) and (-10,15)?

Answers

Part 1: Finding slope

The slope is [tex]\frac{-3-15}{5-(-10)}=\frac{-18}{15}=\boxed{-\frac{6}{5}}[/tex]

Part 2: Finding the equation

Using the point (-10, 15) to substitute into point-slope form,

[tex]y-15=-\frac{6}{5}(x+10)\\\\y-15=-\frac{6}{5}x-12\\\\\boxed{y=-\frac{6}{5}x+3}[/tex]

Answer:

Using the given points we find that the slope is -1.2 and using the slope-point form we find that the equation of line is y+1.2x = 3.

Step-by-step explanation:

In the question, two points are given, (5,-3) and (-10,15). Using them we can find the slope using the formula, (y2 - y1) / (x2 - x1). So, the slope is

(-3-15) / (5+10) = -18 / 15 = -1.2

Now, we have to find the equation of line. We have two points and a slope. Using any one point and the slope, we can find the equation of line using slope-point form of line. Let us take (5,-3).

(y+3) / (x-5) = -1.2

y+3 = -1.2(x-5)

y+3 = -1.2x + 6

y+1.2x = 3

So, the slope of line is -1.2 and the equation of line is y+1.2x = 3.

For more explanation, refer the following link:
https://brainly.com/question/11552995

#SPJ10

Tioga Company manufactures sophisticated lenses and mirrors used in large optical telescopes. The
company is now preparing its annual profit plan. As part of its analysis of the profitability of individual
products, the controller estimates the amount of overhead that should be allocated to the individual product lines from the following information.
Lenses Mirrors
Units produced ................................................................................................................ 25 25
Material moves per product line ........................................................................................ 5 15
Direct-labor hours per unit ................................................................................................ 200 200
The total budgeted material-handling cost is $50,000.
Required:
1. Under a costing system that allocates overhead on the basis of direct-labor hours, the materialhandling costs allocated to one lens would be what amount?
2. Answer the same question as in requirement (1), but for mirrors.
3. Under activity-based costing (ABC), the material-handling costs allocated to one lens would be
what amount? The cost driver for the material-handling activity is the number of material moves.
4. Answer the same question as in requirement (3), but for mirrors.

Answers

Tioga Company manufactures sophisticated lenses and mirrors used in large optical telescopes, the values are mathematically given as

MH1=$1,000MH2=$1,000MH3=$1500MH4=$1500

What is the material handling costs allocated?

Generally, the equation for Material-handling cost for one lens mathematically given as

MH1=Total projected costs for material handling /{Total number of direct labor hours x Direct labor hours per unit)

MH1={$50,000/10.000)x 200

MH1=$1,000

2)

Material-handling cost for one mirror

MH2=Total budgeted material handling cost/ Total number of direct labor hours x direct labor hours per unit

MH2={$50,000/10.000)x 200

MH2=$1,000

3) Material-handling cost per lens

[tex]MH3=\frac{Total projected costs for material handling}{\frac{Number of material moves per lens + Number of material moves per mirror}{(Total number of lenses)}}* Material moves per lens[/tex]

[tex]MH3=\frac{50,000}{\frac{5+15}{25}}*5[/tex]

MH3=$1500

4)

[tex]MH4=\frac{Total projected costs for material handling}{\frac{Number of material moves per mirror + Number of material moves per lens}{(Total number of mirror)}}* Material moves per mirror[/tex]

[tex]MH4=\frac{50,000}{\frac{5+15}{25}}*5[/tex]

MH4=$1500

Read more about lens

https://brainly.com/question/20598911

#SPJ1

Giving 20 points for the answer.

Answers

Answer:

B, A, C

Step-by-step explanation:

add the like terms together (ending in x2 with x2, ending in x with x etc )

Answer:

B A C

Step-by-step explanation:

combining like terms

the equation of lime 1 is 3x-2y=5, and the equation of lime 2 is x+2y=7. What is the point of intersection of the two lines?

Answers

Points of Intersection

To find the point of intersection for two lines, we can use substitution to solve for the coordinates.

Solving the Question

We're given:

[tex]3x-2y=5[/tex][tex]x+2y=7[/tex]

With these two equations, we can:

First isolate x in the second equationUse substitution to input in second equation into the first and solve for yUse the y-coordinate to find the corresponding x-coordinate using substitution

Isolate x in the second equation:

[tex]x+2y=7\\x =7-2y[/tex]

Substitute the second equation into the first:

[tex]3x-2y=5\\3(7-2y)-2y=5\\21-6y-2y=5\\21-8y=5\\21-8y=5[/tex]

Solve for y:

[tex]21-6y-2y=5\\21-8y=5\\-8y=-16\\y=2[/tex]

Solve for x:

[tex]x+2y=7\\x+2(2)=7\\x+4=7\\x=3[/tex]

Answer

The point of intersection of the lines is (3,2).

Which of the following is the graph of y=-(x-2)^3 -5

Answers

The graph is shown in the attached image.

To purchase 13700 worth of restaurant equipment for her business Maria made a down payment of 1500 and took out a business loan for the rest after 3 years of paying monthly payments of 371.16 she finally paid off the loan
What was the total amount Maria ended up paying for the equipment

How much internet did Maria pay on the loan

Answers

The total amount Maria ended up paying for the equipment will be $14,861.76. And The interest of Maria on the loan will be 8.48%.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

To purchase 13700 worth of restaurant equipment for her business.

Maria made a down payment of 1500 and took out a business loan for the rest, after 3 years of paying monthly payments of 371.16 she finally paid off the loan.

The total amount Maria ended up paying for the equipment will be

Total amount = 371.16 × 3 × 12 + 1500

Total amount = $14,861.76

The interest of Maria on the loan will be

Interset = [(14861.76 – 13700) / 13700] x 100

Interset = 8.48%

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

The ratio of (1/5 of 245ml) to (0.2 of 0.84l)

Answers

The ratio is given by 98:0.34.

The ratio of (1/5 of 245ml) to (0.2 of 0.84ml).

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

we have  (1/5 of 245ml) to (0.2 of 0.84ml).

⇒ [tex]\frac{1}{5} 245 :0.2*0.84[/tex]

⇒[tex]98:0.34[/tex]

Thus, the required ratio is 98:0.34.

Learn more about Ratio here:
https://brainly.com/question/13419413

#SPJ1

The power of an exponential expression raised to a power is the product of the exponents.

Answers

Answer:

[tex](y {}^{c} ) {}^{d } = y {}^{c \times d} \\ = y {}^{cd} \\ \\ \\ \\ \\ (v {}^{3} ) {}^{7 } \\ = v {}^{3 \times 7} \\ = v {}^{21} [/tex]HOPE THAT HELPS.

the line y=-3x+4 is reflected on the y-axis what is the equation of the reflected line

Answers

Answer:

x=0

Step-by-step explanation:

when the reflection falls on the y-axis the answer is x=0

Find the acute x given that tan x=2sinx

Answers

The measure of the acute angle is 60 degrees

Trigonometry identity

Given the following trigonometry equation

tan x=2sinx

This can also be written as;

sinx/cosx=2sinx

Simplify to have:

1/cosx =2

2cosx = 1

cosx = 1/2

x = arccos(1/2)

x = 60 degrees

Hence the measure of the acute angle is 60 degrees

Learn more on trig function here: https://brainly.com/question/1143565

#SPJ1

A soccer field (football pitch) has a length of 101.0 m and a
width of 70.2 m. Find the total area of the field in square
meters (m²) and convert this measurement to square yards
(yd2). Use the fact that 1 yard = 0.9144 m. Round your answer
to the nearest whole number.

Answers

Answer:

7754

Step-by-step explanation:

give brainiest, please. <3

Answer:

about 7,754 m

Step-by-step explanation:

101 * 70.2 = 7,090.2

7,090.2/0.9144 = 7,753.9

Solve the compound inequality. Graph the solution set and write it in interval notation. x<2 and x>-3

Answers

Answer:

Answer is (-3, 2)

Which function has a restricted domain?

Answers

Greeting to you! My name is Cecille and I’m here to answer that question

For more explanation, please see the attachment

Base of a prism is a right triangle with legs 3 feet and 4 feet. The height is 13 feet , what is the volume?

Answers

Answer:

Triangular prisms

Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h

Step-by-step explanation:

what is the Smallest numbers :
p = x^2 + 2x +2 / x+1 (x>-1)
t= 1/x + 4/1-x (0

Answers

Answer:

I exactly don't know the answer

Other Questions
what are the effects of anaemia You just collided with someone outside the grocery store. Write five sentences telling which food belongs to which person.Make sure to use vocabulary from this section and a possessive adjective in each sentence.*Note: This is a practice activity. Completing this activity will not only prepare you for future tests and assessments but, more importantly, it will enhance your language ability. This activity will not count towards your grade. According to unitedhealthcare policy, when must a marketing/sales event be reported to unitedhealthcare?. what is momentum help ASAP Read the excerpt from chapter 7 of Night."Throw out all the dead! Outside, all the corpses!The living were glad. They would have more room. Volunteers began the task. They touched those who had remained on the ground."Heres one! Take him!The volunteers undressed him and eagerly shared his garments. Then, two "gravediggers grabbed him by the head and feet and threw him from the wagon, like a sack of flour.In this passage, the author's viewpoint is that the situation causes people to act in ways that are unfeeling and disrespectful toward those who have died. What evidence supports this viewpoint? Select two options.The living were glad. They would have more room.Volunteers began the task.They touched those who had remained on the ground.Heres one! Take him!Then, two gravediggers grabbed him by the head and feet and threw him from the wagon, like a sack of flour. What else would need to be congruent to show that ABC = XYZ by ASA PLEASE HELPIf the perimeter of a garden is 16 yards, how many inches is it? Hint: There are 3 feet in 1 yard. Summation that results from the cumulative effect of multiple synapses at multiple places on the neuron is designated. find the value of x ( fast fast fast) PLS HELP! (PRE-ALG) WILL GIVE BRAINLIEST. Thx smJean transformed a point by using the rule (x,y) (x6.y+8). The image point is (-4, 1). Which point is the pre-image?a. (-10, 9)b. (2-7) c. (-2,7)d. (10,-9) The list shows some of the livestock being raised in South Dakota.Annual Livestock Inventory in South Dakota3.7 million cattle and calves1.4 million hogs and pigs91,000 dairy cows285,000 sheep and lambs38,000 bisonDBased on these data, which type of livestock is least likely to be raised inlarge-scale industrial livestock production in South Dakota?O A. Beef cows B. Bison c. Sheep and lambs D. Dairy cows Halophilic bacteria possess a pigment related to ____________ that absorbs solar energy to pump chloride ions, keeping them alive under such saline conditions. Which group of people is better at understanding their own emotions and emotions of others which helps them to be better communicators a people who don't understand personality type B people with higher intelligence quotient see people with higher emotional intelligence do people with introverted personality Find the area of the shaded regionO100 mO 105 mO 75 mO 50 m5m10 m.5m15 m Examples for Continuous rv X1. Given the pdf:f(x) {1/4 e^-1/4x} x>0 0, otherwiseFind: a. E(X) and b. Var(X) A line contains points M(1, 3) and N(5, 0). What is the slope of MN?negative StartFraction 4 Over 3 EndFractionnegative StartFraction 3 Over 4 EndFractionStartFraction 3 Over 4 EndFractionStartFraction 4 Over 3 EndFraction You have loaned a friend %100 and will charge him 5% annual simple interest when he pay it back. Suppose a households income increases from $2500 to $3000 and quantity demanded changes from 190 to 150. What is the income elasticity? a.0.6b.$500c.-1.05d.2.5 you're using a linux distribution that uses rpm for package management. which command would you use to install httpd, the apache http server package, and all its dependencies? In the early part of the twentieth century, ________ argued forcefully for the idea of continental drift.