Which of the following is the appropriate notation when calculating
conditional probabilities?
A. P(EF)= P(E)+ P(F)- P(EUF)
B. P(EIF)=P(EnF)
P(F)
OC. P(EIF)=P(EA)
P(E)
D. P(EUF)=P(E) + P(F)-P(EF)
SUBMIT

Answers

Answer 1

The following are the appropriate notations is P(EIF)=P(E n F) / P(F).

What is Conditional Probability?

Conditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome.

As, from the property of conditional probability

P(EIF)=P(E n F) / P(F)

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Related Questions

What is the value of x/2 + 4 when x = 6?

Answers

Step-by-step explanation:

solution:

here,

x/2+4

= 6/2+4 ( x = 6 )

= 3+4

= 7

Answer:

7

Step-by-step explanation:

x/2 + 4

=> 6/2 + 4 (x=6)

=> 3 + 4

=> 7

If you vertically stretch the cubic parent function, f(x) = x3, what is the
equation of the new function?

Answers

in order to vertically stretch the parent function, you have to make the absolute value of the coefficient of x^3 larger. meaning that the coefficient of x^3 has to be greater than one or less than negative one

The table shows the prices of different sizes of containers of vegetable oil.

A 3-column table with 3 rows. Column 1 is labeled Container size with entries 16 ounces, 24 ounces, 48 ounces. Column 2 is labeled Price with entries 4 dollars and 64 cents, 6 dollars and 24 cents, 16 dollars and 32 cents. Column 3 is labeled price per ounce with entries 29 cents, 26 cents, 34 cents.

Tony needs to purchase 3,600 oz of vegetable oil for his catering business. For the containers shown in the table, how much would he save by purchasing those with the lowest unit price than those with the highest unit price?

Total amount at lowest price:
Total amount at highest price:
Amount saved:

Answers

The total amount at the lowest price is $936, the total amount at the highest price is $1224, and the amount saved is $288.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The table is in the picture, please refer to the picture.

Tony needs to purchase 3,600 oz of vegetable oil for his catering business.

Lowest unit price = 26 cents per ounce

Total price at this rate = 3600×26 = 93600 cents = $936

The highest unit price = 34 cents per ounce

Total price at this rate = 3600×34 = 122400 cents = $1224

Total saving he purchases the container that has the lowest unit price:

= 1224 - 936

= $288

Thus, the total amount at the lowest price is $936, the total amount at the highest price is $1224, and the amount saved is $288.

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please give me answer friend

Answers

Answer:

90°

Step-by-step explanation:

right angle - 90°

.....

Answer:

65

Step-by-step explanation:

Select the correct answer.
Edwin graphs the relationship of the gallons of milk he buys in terms of dollars.

Answers

The answer is c Sam buys gas at a slower rate of 3.4 mile per gallon

Select from the drop-down menu to create a statistical question Susan could ask her friends in a survey.
How many
pushups can you do
days does melanie exercise
bones are in the human body
pounds are in a kilogram

Answers

The statistical question that Susan could ask her friends in a survey is that How are push-ups important for the body?

What are statical questions?

It should be noted that statistical or research questions are the questions that an individual seeks answers to.

In this case, the statistical question that Susan could ask her friends in a survey is that How are push-ups important for the body?

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Answer: 2. How many pushups can you do

I got 100% on my online homework and here is proof.

Please mark me brainliest  : D

The __________ is the process of posing and answering research questions using controlled techniques that include systematic, orderly observation and the collection of data.

Answers

Answer:

Scientific Method:

Step-by-step explanation:

Scientific method is the set of basic rules that must be followed for the production of knowledge that has the rigor of science, that is, it is a method used for research and verification of a certain content. For several authors, the scientific method is the logic applied to science.

i hope this

help i will mark as branliest​

Answers

Answer:

(a) DE = 7.5 cm

(b) Area of ΔABE = 9.33 cm2

Step-by-step explanation:

(a)   [tex]\frac{AE}{DE} =\frac{BE}{CE}[/tex]

     [tex]\frac{5}{DE} =\frac{4}{6}[/tex]

    [tex]DE=\frac{(5)(6)}{4} =\frac{30}{4} =7.5[/tex]

(b) measurements of similar triangles have a ratio of 2/3

The ratio between areas is

[tex](\frac{2}{3} )^{2} =\frac{4}{9}[/tex]

If the area of ΔCDE = 21

Then the área of ΔABE is:

[tex]21(\frac{4}{9})=\frac{(21)(4)}{9} =\frac{84}{9} =9.33[/tex]

Hope this helps

What is the 17th term in the arithmetic sequence an=77+(n-1)(-5)

Answers

Answer:

a₁₇ = - 3

Step-by-step explanation:

substitute n = 17 into the nth term rule

a₁₇ = 77 + 16 × - 5 = 77 - 80 = - 3

Answer: -3

Step-by-Step Explanation:

=> an = 77 + (n - 1)(-5)

Therefore,
=> a = 77
=> d = -5
=> n = 17

Substitute Values in the Formula :-

an = a + (n - 1)(d)
an = 77 + (n - 1)(-5)
a17 = 77 + (17 - 1)(-5)
a17 = 77 + 16(-5)
a17 = 77 - 80
=> a17 = -3

Hence, the 17th Term of the A.P is -3

can someone please help mee(20 points and i will give brainliest!!!)

Answers

Answer:

(5,2)

Maximum

5

Step-by-step explanation:

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\texttt{\:Coordinates of vertex = (5,2)}[/tex]

[tex]\texttt{The graph has a maximum} [/tex]

[tex]\tt \: Axis\:\: of \:\; symmetry : x = 5\ [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Coordinate of vertex is the point where there's a unique (only one) value of y for x :

[tex]\qquad \tt \rightarrow \: (5,2)[/tex]

Since it's a downward parabola, it doesn't have defined minima, as it's value reach [ - infinity ]

and hence, it has a maximum, at the vertex.

Axis of symmetry is the line that divides the parabola into two equal regions that are mirror images of each other.

it is the line passing through vertex and parallel to y - axis.

[tex]\qquad \tt \rightarrow \: x = 5[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The circuit is working, and all three bulbs are lit. If a switch at A is opened,
what will happen to the circuit?

A. All three bulbs will stay lit
B. All three bulbs will go out.
C. Bulbs 1 and 2 will go out, but bulb will remain lit.
D. Bulb 1 will go out, but bulbs 2 and 3 2 will remain lit.

Answers

Answer:

B.

Step-by-step explanation:

Since all bulbs are connected in series, by opening switch A, you break the series connection, and all bulbs go out.

Serial bulb will go off

which statement is true about the function?​

Answers

The correct answer is option D which is the function is even because of its symmetry about the y-axis.

What is even function?

The function which remains unchanged when the negative value of the variable is filled in the function is called an even function and this function is symmetric about the y-axis.

Given function:-

f(x) = 3x⁴+2x²

Now put the value x = -x in the function

f(-x) = 3( -x⁴)+2(-x²)

f(-x) = 3x⁴ + 2x²

f(-x) = f(x)

here we can see that when we put the value of negative x the function remains unchanged.

Therefore the correct answer is option D which is the function is even because of its symmetry about the y-axis.

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What must be the value of x so that lines a and b are parallel lines cut by transversal f? 10 20 22 32.

Answers

Answer: Option 3 or C. 22

Step-by-step explanation:

I got the answer correct on Edge 2022 quiz. Trust me the answer is correct I screenshot it using the prt sc key then uploaded it. The proof is in the pic below.  :)

(15-10)-(14+12+ (8+5)​

Answers

Answer:

-34

Step-by-step explanation:

Remove all brackets by multiplying the existing math signs then take it from there

(15-10)-(14+12+ (8+5)​

5 - (14 + 12 + (8 + 5)

5 - (14 + 12 + 13)

5 - 39

-34

What will be the percentage of profit per annum by which Tk.13000 will be Tk.18850 as profit-principal in 5 years?

Answers

The simple interest rate is 9% if the Tk 13000 will be Tk 18850 as profit-principal in 5 years.

What is simple interest?

It is defined as the interest on based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount of borrowed amount.

We have given:

The principal amount, P = Tk 13000

Final amount A = Tk 18850

Number of years n = 5 years

Rate = r

I = A - P

I = 18850 - 13000 = Tk 5850

I = Pnr

5850 = 13000(5)(r)

r = 0.09

r = 9%

Thus, the simple interest rate is 9% if the Tk 13000 will be Tk 18850 as profit-principal in 5 years.

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Which output in this table is incorrect

Answers

Answer:

B

Step-by-step explanation:

This is quite a trial and error question.

Given from the table

$1 cost of item = $0.08 tax on item

$2 cost of item = ($0.08x2) tax on item = $0.16 tax on item

$3 cost of item = ($0.08x3) tax on item = $0.24 tax on item

$8.50 cost of item = ($0.08x8.50) tax on item =  $0.68 tax on item

$10 cost of item = ($0.08x10) tax on item = $0.80 tax on item

The only one that is different is the incorrect value therefore $0.64 is the incorrect one.

The least common denominator of 5/6, 2/3, and 3/5 is:

Answers

Answer:

30

Step-by-step explanation:

if 13n-6 = 98 what is the value of n​

Answers

Answer:

n = 8

Step-by-step explanation:

13n-6 = 98

Solution:

13n = 98+613n = 104n = 104/13n = 8

Hence the value of n is 8.

13n - 6 = 98

13n = 98 + 6

13n = 104

n = 104/13

n = 8

The radius of the water well is 2r inches. Find the area of the water well.

Answers

The area of the water well is [tex]4\pi r^2[/tex]

How to determine the area?

The radius is given as:

Radius, R = 2r

The area of the water well is calculated using:

[tex]A = \pi R^2[/tex]

This gives

[tex]A = \pi (2r)^2\\\\\\[/tex]

Evaluate the expression

[tex]A = 4\pi r^2[/tex]

Hence, the area of the water well is [tex]4\pi r^2[/tex]

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Please help me with this question 1/11

Answers

The value of a₄₃ is 3.

What is Matrices?

Matrices is a plural form of a matrix, which is a rectangular array or a table where numbers or elements are arranged in rows and columns.

Here,  aₓₙ is the element of matrix in which x represents the number of row and n represents the number of column of element.

So, a₄₃ means element from 4th row and 3rd column.

4th row  =  [2  9   3   7]

3rd column = [tex]\left[\begin{array}{ccc}8\\6\\1\\3\end{array}\right][/tex]

the common value between them is 3.

Thus, the value of a₄₃ is 3.

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The recursive formula for an arithmetic sequence is:
a1 = -10
an = an-1+3
What is the 3rd term in the sequence?
A. -16
B. -30
C. -7
D. -4

Answers

Answer:

D. -4

Step-by-step explanation:

a1 is the first term.

a1 = -10

an = an-1 + 3

The recursive formula means that each term after the first term is 3 more than the previous term.

a2 = a1 + 3 = -10 + 3 = -7

a3 = a2 + 3 = -7 + 3 = -4

Find the least common denominator for these
two rational expressions.
8
-9
3a²
-
a

Answers

The common denominator is 3a²

Which ordered pair would form a proportional relationship with the point graphed below?


On a coordinate plane, a line goes through points (0, 0), (10, 40) and (negative 10, negative 40).
(40, 10)
(–5, –10)
(5, 20)
(–10, –20)

Answers

Answer:

(5, 20)

Step-by-step explanation:

Please help with a good explanation

Answers

Set the equation as 2(2x+3)+2(x-5)=44 then solve for 44
So first distribute 4x+6+2x-10=44
Combine like terms: 6x-4=44
Add four to both sides 6x=48
Divide 6 x=8
The answer for x is 8

The nature of a graph, which has an even degree and a positive leading coefficient will be

Answers

The nature of a graph, which has an even degree and a positive leading coefficient will be up left, up right position

What is the nature of the graph of a quadratic equation?

The nature of the graphical representation of a quadratic equation with an even degree and a positive leading coefficient will give a parabola curve.

Given that we have a function f(x) = an even degree and a positive leading coefficient. i.e.

y = f(x) = 2x²+ 4

The domain of this function varies from -∞ < x < ∞ and the parabolic curve will be positioned on the upward left and upward right x-axis.

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PLEASE HELP
If 2 pounds is equal to 3 dollars, which of the following is incorrect?
A. 11 pounds is 16.50 dollars
B. 28 pounds is 44 dollars
C. 10 pounds is 15 dollars
D. 23 pounds is 34.50 dollars

Answers

Therefore, the incorrect statement is option B, which states that 28 pounds is equal to 44 dollars. The correct value should be 42 dollars.

To determine which statement is incorrect, we can use the given conversion rate of 2 pounds being equal to 3 dollars and evaluate each option accordingly:

A. 11 pounds is 16.50 dollars:

To check this, we can multiply 11 pounds by the conversion rate:

11 pounds * (3 dollars / 2 pounds) = 16.50 dollars

This statement is correct.

B. 28 pounds is 44 dollars:

Using the same calculation:

28 pounds * (3 dollars / 2 pounds) = 42 dollars

This statement is incorrect because 28 pounds would actually be equal to 42 dollars, not 44 dollars.

C. 10 pounds is 15 dollars:

Again, applying the conversion rate:

10 pounds * (3 dollars / 2 pounds) = 15 dollars

This statement is correct.

D. 23 pounds is 34.50 dollars:

Using the conversion rate:

23 pounds * (3 dollars / 2 pounds) = 34.50 dollars

This statement is correct.

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please help me with my math

Answers

Answer:

x = 115

z = 27

Step-by-step explanation:

x + 65 = 180 (same side interior angles)

x = 115

x = 3z +34 (alternate interior angles)

115 = 3z + 34

3z = 81

z = 27

Answer: x = 115, z = 27

Step-by-Step Solution:

We know, Adjacent or Consecutive Interior Angles are Supplementary and Alternate Interior Angles are Equal.

So,
=> x + 65 = 180 (Adjacent interior angles)
=> 3z + 34 = x (Alternate interior angles)

First solve Equation 1 :-

x + 65 = 180
x = 180 - 65
=> x = 115

Therefore, x = 115.

Now we got the value of ‘x’. Substitute this value in Equation 2 to find the value of ‘z’ hence completing our answer.

Substitute value of ‘x’ in Equation 2 :-

3z + 34 = x
3z + 34 = (115)
3z = 115 - 34
3z = 81
z = 81/3
=> z = 27

Therefore, z = 27.

Now we have the required answers.
Hence, x = 115 and z = 27.

Our school store buys a shipment of 1000
pencils for $65. If we sell each pencil for
10 cents, what is the markup percentage
of each pencil?
A. 28%
C. 54%
D. 65%
B. 43%

Answers

Answer:

54%

Step-by-step explanation:

65 / 1000 = 0.065. 0.10 / 0.065 = 1.538, so the markup would be C, 54%.

Hurrry 100 points both in elimination solving show your work


1) 7x - 9y =-30

-3x - 6y = 3


2) 3x +2y =9

2x +6y=6

Answers

Answer:

2

Step-by-step explanation:

6y=18. (3₁-2). 3) -2x +9y=-4. 2x+3y=-20. (-7,-2). 5) 2x + 5y = 0 ... -10x + 5y = 30. (-3,0). 15) 3x-2y = −6 x-2y=-10. (2,6). 17) 3x +9=-3y. 3y=-5x-11.

Answer:

[tex]1. \: x = \frac{9y - 30}{7} \: x = - 1 - 2y \\ \\ 2. \: x = \frac{9 - 2y}{3} \: x = 3 - 3y[/tex]

Step-by-step explanation:

[tex]1. \: 7x = - 30 + 9y \\ 7x = 9y - 30 \\ x = \frac{9y - 30}{7} \\ \\ - 3(x + 2y) = 3 \\ x + 2y = - 1 \\ x = - 1 - 2y \\ \\ 2. \: 3x = 9 - 2y \\ \\ (x + 3y) = 6 \\ x + 3y = \frac{6}{2} \\ x + 3y = 3[/tex]

A business rents cars for $100 a day and vans for $200 a day. One day, it rented a total of 22 vehicles
and made a total of $2900. What is a possible number of cars and vans it rented that day?

Answers

Answer:

Vans - 7

Cars - 15

Step-by-step explanation:

$200 * 7 = $1400

$100 * 15 = $1500

$1400 + $1500 = $2900

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