What is the difference between calculating probability with “and” vs “or”?

Answers

Answer 1

Answer:

The word or is used in probability to denote that you are computing the chance that either event A or event B occurred; both events do not have to occur. When you employ the word and, you're implying that both A and B must occur.

In Conclusion:

If either one or both of them occur, the condition is fulfilled, and the probabilities are added.

The condition is satisfied if and only if both of them occur, and the probabilities are increased.


Related Questions

Solve the equation. -2=6/7p
HURRY!

Answers

Answer:

[tex]\boxed{\sf{p=-\dfrac{3}{7}=-0.42 }}[/tex]

Step-by-step explanation:

Isolate the term of p from one side of the equation.

-2=6/7p

First, multiply by 7p from both sides.

-2*7p=6/7p*7p

Solve.

-14p=6

Then, you divide by -14 from both sides,

-14p/-14=6/-14

Solve.

p=-3/7

Dividing is another option.

-3/7=-0.42

Therefore, the correct answer is p=-3/7=-0.42.

I hope this helps you! Let me know if my answer is wrong or not.

The following graph shows the feasible region for which system of inequalities?

Answers

[tex]\bold{ANSWER:}[/tex]
3RD OPTION

[tex]\bold{EXPLANATIONS:}[/tex]

The feasible region which is shown is the graph of is of the solution of  inequalities y<4,x>=0,x<4 and y>=1. which is option C.

What is inequality?

An inequality is like an equation but is expressed in greater than ,less than, greater than or equal to, less than or equal to signs. It is equated to find the range of variables.

How to graph inequality?

The given graph has three lines showing different inequality.

One which is parallel to x axis and present at y=4 is doted and because the region from this line is towards origin so the sign between y and 4 is of < sign and we don't use equal to sign as it is doted. The inequality will be y<4

Other line is also parallel to x axis at y=1 but it is not doted and the region shaded is away from the line and origin so we use > than sign and equal to sign. The inequality will be y>-1.

The solution lies in first quadrant so x>=0.

One line is parallel to y-axis at x=4 and because the solution is towards origin so we will use <=0 sign as it is not dotted also.

Hence the inequalities are y<4,x>=0<x<4, y>1.

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Find the length of the third side. If necessary, write in simplest radical form

Answers

Answer:

Step-by-step explanation:

Which statements describe how the cardiovascular system and the respiratory system work together?

Select all that apply.


The cardiovascular system provides gases to the respiratory system to help it function.

The respiratory system provides oxygen used in the cardiovascular system.

The respiratory system provides nutrients and energy to the cardiovascular system.

The cardiovascular system provides the respiratory system with what it needs to function.

Answers

The respiratory system and the cardiovascular system are intertwined in the sense that the  respiratory system provides oxygen used in the cardiovascular system.

What is the respiratory system?

The respiratory system is the syetem that coordinates gaseous exchange in the body while the cardiovascular system is the system that deals with the circulation of gases in the body.

The cardiovascular system and the respiratory system work together in the following ways;

The respiratory system provides oxygen used in the cardiovascular system.

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what value of x is in the solution set of 8x-6>12+2x

Answers

Answer:

3

Step-by-step explanation:

8x-6>12+2x

-2x            -2x

_______________

6x-6 >12

   +6    +6

____________

6x > 18

/6      /6

____________

x > 3  

Hope this helps :)

The solution to the inequality  8x - 6 > 12 + 2x is, 3.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality 8x - 6 > 12 + 2x.

Separating the variable and constants to the other sides we have,

8x - 2x > 12 + 6.

6x > 18.

x > 3.

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A. ((4 × 5) – 15) ÷ (2 + 22 – 1) =
((4 × 5) – 15) ÷ (2 + 22 – 1) =

B. 4 × (– 3 + (42 – 13)) + 8 ÷ (6 + 2) =
4 × (– 3 + (42 – 13)) + 8 ÷ (6 + 2) =

Answers

Answer:

A. 8 1/4 - 3 2/5 - (2 1/3 - 1/4) = 83/30 = 2  23/30 ≅ 2.7666667

B. 5

)The diameter of a cylinder is 7 yards. The height
is 12 yards. What is the volume, in terms of T and
to the nearest cubic yard, of the cylinder?

Answers

Answer: 462 yards ^3

Step-by-step explanation:

The equation for the volume of a cylinder is πr^2h

the diameter is 7 yards and the radius is just half the diameter so the radius is 3.5

the height is 12 yards

so π(3.5)^2(12) = 461.814120078 yards ^3

if we know f(x), what would you do to find f(x+2)

Answers

Answer:

this is a transformation of the function meaning f(x) is our base f(x+2) is a transformation of f(x) by 2

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

given f(x) then to find f(x + 2)

substitute x = x + 2 into f(x)

Determine if a quadrilateral with the given vertices is an isosceles trapezoid. Show and explain all steps to prove or disprove.
A(-5,0) B(5,0) C(-3, 4) D(3, 4)

Answers

Answer:

Step-by-step explanation:

I toss a coin more then 60 times and i comes down tails 40% of the time. How many heads did i toss

Answers

Answer:

36.

Step-by-step explanation:

100 - 40 = 60%  of heads.

60% = 0.60.

60 * 0.60 = 36.

what is equivalent to 8x-12y+32

Answers

Answer:

C. 16(0.5x - 0.75y + 2) = 8x - 12y + 32

Step-by-step explanation:

Answer:

Yeah I got the answer

Step-by-step explanation:

C option is correct

We will have to take common like this

. 16(0.5x - 0.75y + 2) = 8x - 12y + 32

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

if f(x)= 3/x+2 - /x-3, complete the following statement: The domain for f(x) is all real numbers ___than or equal to 3.

Answers

Answer:

greater probably i am guessing its just a guess it also could be lower i dont know the question isnt clear

Albert had a goal of saving $80. He saved 115% of his goal. How much money did Albert save

Answers

Answer:

$92

Step-by-step explanation:

Virgil opened an account with a deposit of $815.
. The bank pays 5% interest compounded annually on this account.
• Virgil makes no additional deposits or withdrawals.
How much interest will the account have earned after 6.5 years?

Answers

Answer:

  $304.15

Step-by-step explanation:

The amount of interest earned can be found from the formula ...

  I = P((1 +r)^t -1)

  I = $815((1 +0.05)^6.5 -1) ≈ $815(0.373189) ≈ $304.15

Virgil's account will have earned about $304.15 in interest in 6.5 years.

30 points!!!!

- Part A: Explain why x = 5 makes 4x - 13 19 true but not 4x -1 < 19. (5 points)

Part B: What value from the set (6,7,8,9,10} makes the equation 5x + 2 = 47 true? Show your work (5 points)

Answers

Answer:

Part A is ≤ means less than OR equal to. < only means less than

Part B is 9

Step-by-step explanation:

A: Because it would equal 19, and 19 is equal than 19. 4(5) - 1 would equal 19, which is equal to 19, and not less than. ≤ means less than or equal to. < means less than. So its not true.

B: 47 - 2, 45. Then 5 x 9 equals 45. So 5 x 9 equals 45, then add 2 would equal 47.

On Saturday, Mark sold 2 7/8 gallons of lemonade. On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, in gallons, did Regan sell? Help

Answers

Answer:

Step-by-step explanation:

The total amount of lemonade Regan sells is 69/16 gallons and this can be determined by using the arithmetic operations.

Given :

   Mark sold 2 7/8 gallons of lemonade.

   Regan sold 2/3 as much lemonade as Mark.

The following steps can be used in order to determine the total amount of lemonade Regan sells:

Step 1 - The arithmetic operations can be used in order to determine the total amount of lemonade Regan sells.

Step 2 - According to the given data, Mark sold 23/8 gallons of lemonade.

Step 3 - Let the total amount of lemonade Regan sells be 'x'.

Step 4 - So, the value of 'x' can be calculated as:

x = 23/8 × 3/2

x = 63/16

The total amount of lemonade Regan sells is 69/16 gallons.

Write the following in scientific notation

Answers

Answer:

3.25 x 10^-4

Step-by-step explanation: mark brainliest

Given the definitions of f(x) and g(x) below, find the value of (g•x)(1).
=
f(x) = 3x2 + 2x - 3
g(x) = -x + 4

Answers

Step-by-step explanation:

f(x) = 3x2+2x-3

g(x) = -x+4

(g.f)(x) = g[3x2+2x-3]

           = -(3x2+2x-3)+4

           = -3x2-2x+3

(g.f)(1) = -3(1)2-2(1)+3

           = -3-2+3

           = -2            

2. Find the slope of this line.

Answers

Answer:

Answered below

Step-by-step explanation:

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

You need 2 coordinates from your graph as long as the line you have is completely straight. You have 2 points it is (0,3) & (8,0)

So your y2 is 0

y1 is 3

So your x2 is 8

x1 is 0

Plug in and solve (keep in mind you should be expecting a negative slope since your line is sloping downwards as you advance to the right.

m = (0-3)/(8-0)

m = -3/8

m = slope = -3/8x = -0.375x

Slope is given as a number followed by value x

If two lines have the same slope, are they perpendicular?

Answers

Yes they would be perpendicular.

Yes it would be perpendicular

If a florist uses 10 red roses in a bouquet , how many white roses did she use?

Answers

Answer:

2 white roses.

A dozen is 12.

12-10 red roses = 2 white roses

Step-by-step explanation:

Answer:

she used 2 white rose

Step-by-step explanation:

12 is a dozen so 12-10 is 2 white roses

Hope this helps :)

Which of the following is a statistical question?
A.
How much time do seniors at a school spend playing sports?
B.
How many hours did Mary sleep last night?
C.
How long was Joey’s baseball game yesterday?
D.
What is the shortest distance between Georgia and North Carolina?

Answers

How much time do seniors at a school spend playing sports? (option A)  is a statistical question.

What is a statistical question?

A statistical question is a question that can be answered by collecting and analyzing data using statistical methods. It is a question that requires more than just a single numerical answer, and instead, involves variability or variation in the data.

In a statistical question, the data can come from a sample or a population, and the goal is to use the data to draw conclusions about the larger group. Statistical questions often begin with words such as "how many," "how much," "what is the average," "what is the distribution," and "what is the relationship between."

A statistical question is a question that can be answered by collecting data and analyzing it using statistical methods. Based on this definition, option A is the statistical question as it involves collecting data (i.e., the amount of time seniors spend playing sports) that can be analyzed using statistical methods.

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PLEASE HELP BRAINLIEST AND 10 POINTS


A sculptor is planning to order a cylinder of composite stone to sculpt a full-sized person. The figure will be 6 feet tall, and 2’ at the longest diameter. The composite stone weighs 50 pounds per cubic foot. About how much will the smallest cylinder weigh that the sculptor can order to make his statue?

Answers

47 lbs      

hope this helps

how to solve (3p⁴ + 2q⁴)²​

Answers

Answer:

9p⁸ + 12p⁴q⁴ + 4q⁸

Step-by-step explanation:

(3p⁴ + 2q⁴)²​ ⇒ The square of (3p⁴ + 2q⁴)

Squares are such bases that multiply itself two times.

⇒ (3p⁴ + 2q⁴)(3p⁴ + 2q⁴)

Simplifying the expression using (a + b)(a + b) = (a x a) + (ab) + (ab) + (b²)

⇒ (9p⁸ + 6p⁴q⁴ + 6p⁴q⁴ + 4q⁸)

⇒ (9p⁸ + 12p⁴q⁴ + 4q⁸) = 9p⁸ + 12p⁴q⁴ + 4q⁸

We know the identity

(a+b)²=a²+b²+2ab

So

[tex]\\ \rm\Rrightarrow (3p^4+2q^4)^2[/tex]

[tex]\\ \rm\Rrightarrow (3p^4)^2+(2q^4)^2+2(3p^4)(2q^4)[/tex]

[tex]\\ \rm\Rrightarrow 9p^8+4q^8+12p^4q^4[/tex]

Done

Hussain and sam are sharing money in the ratio of 2:5 sam got 70p how much money were they sharing in total

Answers

Answer:

if 5=70

  2=?

cross multiply=28

add  70+28=98          

Step-by-step explanation:

Which graph would be produced by k*f(x) if f(x)=x squared k
x= -1/2

Answers

Answer:The square below represents one whole.

What percent is represented by the shaded area?

Step-by-step explanation:

Three 3-digit numbers are formed using the digits 1 through 9 exactly once each. The hundreds digit of the first number is 1. The tens digit of the second number is 8. The units digit of the third number is 5. The ratio of the first number to the second number to the third number is 1:3:5, respectively. What is the sum of the three numbers?

Answers

Answer:

  1161

Step-by-step explanation:

We can solve this using what we know about multiples of 3 and 5. Multiplying the first number by 3 will give the value ...

  1?? × 3 = 38? . . . . where ? is an unknown digit

The two least significant digits in the first number must be ones that give 80-something when multiplied by 3. They will be between 80/3 = 26 2/3 and 90/3 = 30. The requirement that the least significant digit be odd* means the choices are 27 or 29.

When the first number is 127, its triple is 381. The 1 in the least significant digit is disallowed by the requirement that the 9 digits of these numbers be unique. (127 already has 1 as its most-significant digit.)

So, the first number is 129, making the second number be 3×129 = 387, and the third number be 5×129 = 645.

The numbers have the ratios ...

  129 : 387 : 645 = 1 : 3 : 5 . . . . . . . as required.

We note that the digits 1–9 are used exactly once each, as required.

The sum of the numbers is 1161.

_____

* Only odd numbers will give a product that ends in 5 when they are multiplied by 5. The requirement that the third number have a ones digit of 5 means the ones digit of the first number must be odd.

Select all the systems of equations that have exactly one solution.
Option 1. y = 4x - 1 and y = -4x + 7 Option 2. y = 3x + 1 and y = 2x + 1

Option 3. y = x + 2 and y = x + 7 Option 4. 2x + 2y = 20 and 3x + 3y = 30

Option 5. x + y = 40 and x + y = 90

Answers

Answer:

Option one and option 2

Step-by-step explanation:

Only ones that have 1 solution, option 3 and 5 have no solution, option 4 has infinetly many.

Lastttt Ooonnneeeee!!! Thank you guys so much for all your helpppp!!

Answers

Answer:

[tex]=12\sqrt{15} -40\sqrt{5}\\[/tex]

Step-by-step explanation:

[tex](2\sqrt{10} )(3\sqrt{6} -5\sqrt{8} )=(2\sqrt{10} )(3\sqrt{6} )-(2\sqrt{10} )(5\sqrt{8} )[/tex]

[tex]=6\sqrt{60} -10\sqrt{80}[/tex]

[tex]=6\sqrt{4(15)} -10\sqrt{16(5)}[/tex]

[tex]=6(2)\sqrt{15} -10(4)\sqrt{5}[/tex]

[tex]=12\sqrt{15} -40\sqrt{5}[/tex]

Hope this helps

The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
65
1
70
6
75
2
80
9
85
3
90
1
95
6
100
8

Answers

Answer:

85.3

Step-by-step explanation:

The Total number of students = 36. Add all the values but don't forget how much of that value there is. so for the score of 70, you would multiply that by 6 because that's how much students got it.

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