Which of the following is an example of dependent events? A. Drawing a jack from a standard deck of cards and then drawing a six without replacing the jack B. Winning the lottery and getting struck by lightning C. Spinning a 5 on a spinner and getting tails from flipping a coin D. Owning a dog and being in the school chorus

Which Of The Following Is An Example Of Dependent Events? A. Drawing A Jack From A Standard Deck Of Cards

Answers

Answer 1

Answer:  A. Drawing a jack and drawing a six without replacement

Step-by-step explanation:

A Dependent event means the outcome of one event affects the outcome of the other event.

Options B, C, and D:

The first event is completely unrelated to the second event so those options are Independent events.

Option A:

The first event uses 52 cards.  The second event only has 51 cards remaining because we did not replace the first card.  The probability of the second event IS affected by the first event so this is a Dependent event.

Note: If the card was replaced before drawing the second card, then it would be an Independent event.

Answer 2

The example for dependent events is (A) Drawing a jack from a standard deck of cards and then drawing a six without replacing the jack.

What are Dependent Events?

If the probability of one event of two events is affected by another one then that two events are called dependent events of one another.

What is Probability?

The probability of an event is the ratio of the favorable cases for that event to the total number of possible cases under that event.

Here analyzing the given choices we get,

(A) If we draw a jack from a standard deck of cards that is containing 52 cards.

And then we draw a six replacing without that jack card then it affects the probability as the total number of cards for this event reduces from 52 to 51.

So these two events are dependent events.

(B) Winning a lottery and getting struck by lighting are completely two different events from a different field, so they are independent.

(C) Spinning a 5 on a spinner cannot affect getting tails from flipping a coin. So they are not dependent on events.

(D) Owning a dog cannot affect being in the school chorus so they are independent (not dependent).

Hence the correct answer is (A).

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Related Questions

what is the answer to: 3 x 4 + 15- 19 x2037? help

Answers

Answer: -38,686

Step-by-step explanation:

3 x 4= 12

-19 x 2037= -38,703

12 + 15= 17

17 -38,703= -38,686

Please! Can someone help me with this task I do not understand?

Answers

Answer:

Given

Hope this helps

Step-by-step explanation:

The task explains how to draw a circle. So first attach a thumbtack in between the paper. This will be the midpoint of the circle

Tie one end of thread to it and the other end to a pencil. So when you travel the pencil around, a circle will be formed.

The length from one end of the circle to the other end (which pases the centre) is the diameter. Half of that is the radius

Circumference is the length around the circle which is πd

An easier way to draw the circle is by simply using a compass instead.

Find the circumference of a circle with a radius of 18 in. Leave your answer in terms of. 36πin. 18πin. 54πin. 324πin.

Answers

Answer:

36πin

Step-by-step explanation:

Formula for the circumference of a circle=2πr

r=18

2 · 18

=36

36·π

hope this helps

Can someone answer this for me?

Answers

Answers:Total Area = 342.5 square metersTotal Cost = 138 pounds

=============================================================

Work Shown:

Break the figure up as shown by the dashed lines. Think of cutting along those lines to form 3 separate figures. The trapezoid on the left has area

A = h*(b1+b2)/2

A = 5*(11+12)/2

A = 57.5

The rectangle in the middle has area

A = L*W

A = 12*15

A = 180

The trapezoid on the right has area

A = h*(b1+b2)/2

A = 10*(12+9)/2

A = 105

Overall, the entire figure has area of 57.5+180+105 = 342.5 square meters

1 can costs £6 and it covers 15 square meters. We need to cover 342.5 square meters

342.5/15 = 22.8333333333333 approximately

Round up to the nearest whole number to get 23

We need 23 cans to be able to paint 342.5 square meters or more

Note that 22 cans won't be enough because 22*15 = 330 is short of 342.5

While 23 cans is more than enough since 23*15 = 345. It's better to have leftovers than come up short.

Since each can costs £6 and we need 23 of them, the total cost would then come to 6*23 = 138 pounds

Answer:

The figure consists of two trapeziums and a rectangle

Area of figure = Area of rectangle + Area of the two trapeziums

Area of rectangle = length × width

= 12m × 15m = 180m²

Area of first trapezium = 1/2(a+b) × height

= 1/2(12+11)×5

= 57.5m²

Area of second trapezium = 1/2(a+b) × height

= 1/2(9+12)×10

= 105m²

Area of figure = 180 + 57.5 + 105 = 342.5m²

If 15m² = 6£

342.5 = 342.5/15 ×6

= £ 137

Hope this helps.

The formula F=1.8C + 32 is used to convert temperatures between degrees Fahrenheit (F) and degrees Celsius (C). How many degrees Fahrenheit is it if it is currently 30º C?

Answers

Answer:

86 degrees

Step-by-step explanation:

What is the decimal multiplier to decrease by 25%?

Answers

Answer:

0.75

Step-by-step explanation:

A decrease of 25% becomes 75% of the original number. 75% as a decimal is 0.75.

Answer:

0.75

Step-by-step explanation:

100(0.75)=75

What is ? 5(x+y)-3(x+y)

Answers

Answer:

2(x+y)

Step-by-step explanation:

Simple 5-3 with some added variables that don't change.

Suppose you start an annuity where you invest $2,000 at the beginning of each year and 4% interest is paid at the end of the year. What is the value of the annuity at the end of 5 years, rounded to the nearest dollar? It is

Answers

Answer:

$10,400

Step-by-step explanation:

If 2,000 dollars are being invested at the beginning of each year and gets a 4% interest at the end that means 2,000*104%=$2,080

It also continues on for 5 years so 2,080*5=$10,400

Answer:

10833

Step-by-step explanation

Use the formula

Sₙ=a₁ [tex]\frac{1-r^n}{1-r}[/tex]

a₁= 2000

r= 1+4%=1.04

n=5

plug back into equation

S₅=2000[tex]\frac{1-1.04^5}{1-1.04}[/tex] =10832.6

Rounded to the nearest dollar $10,833

i lost my old brainly account name it was called official norths :( i forgot the password i will love if you help me with this please The formula F=1.8C + 32 is used to convert temperatures between degrees Fahrenheit (F) and degrees Celsius (C). How many degrees Fahrenheit is it if it is currently 30º C?

Answers

Answer:

86° Fahrenheit

Step-by-step explanation:

F=1.8C + 32

C=30°

Plugging into the formula:

[tex]F=1.8*30+32\\F=54+32\\F=86[/tex]

The Fahrenheit for 30° Celsius using the given formula is 86° Fahrenheit.

Answer:

86 degrees

Step-by-step explanation:

3:7 ratio what fraction does he get

Answers

Answer:

3/10

Step-by-step explanation:

Josh and Lucy share some money in the ratio 3:7.

3+7=10

The fraction Lucy gets is 7/10

The fraction Josh must get is 3/10.

3/7 is the answer, hope it helps
:)

QUICKKKKKK HELPPPPLines a and b are parallel and lines e and f are parallel. Vertical and parallel lines a and b are intersected by horizontal lines e and f. At the intersection of lines a and e, the top left angle is angle 1 and the top right angle is angle 2. At the intersection of lines b and e, the bottom left angle is angle 3. At the intersection of lines b and f, the uppercase right angle is angle 4 and the bottom left angle is angle 5. If m1 = 89°, what is m5? 1 89 91 179

Answers

Answer:

It is 91

Step-by-step explanation:

:)

Answer:

C: 91

Step-by-step explanation:

Unit test Edge 2021

Which of the following factors of production is unlikely to be found in a
command economy?
A. Entrepreneurship
B. Land
C. Capital
D. Labor

Answers

Option (A) is correct

What are factors of production?

" Factors of production are resources that are the building blocks of the economy; they are what people use to produce goods and services. Economists divide the factors of production into four categories: land, labor, capital, and entrepreneurship."

What are some examples of entrepreneurship as a factor of production?

An entrepreneur is a person who combines the other factors of production - land, labor, and capital - to earn a profit. The most successful entrepreneurs are innovators who find new ways to produce goods and services or who develop new goods and services to bring to market. Without the entrepreneur combining land, labor, and capital in new ways, many of the innovations we see around us would not exist. Entrepreneurs are a vital engine of economic growth helping to build some of the largest firms in the world as well as some of the small businesses in your neighborhood. Entrepreneurs thrive in economies where they have the freedom to start businesses and buy resources freely.

So, option (A) is correct

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Answer: entrepreneurship

Step-by-step explanation:

just took the quiz

what is the distance between ( -3, -4) and ( 6, -4) on the coordinate plane

Answers

Answer:

The distance between (-3, -4) and (6, -4) is 9 units.

Step-by-step explanation:

First, we must know the distance formula between two points.

[tex]Distance(d)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We will use (-3, -4) for (x₁, y₁) and we will use (6, -4) for (x₂, y₂).

[tex]Distance=\sqrt{(6-(-3)^2+(-4-(-4))^2)}[/tex]

[tex]Distance=\sqrt{(9)^2+(0)^2}[/tex]

[tex]Distance=\sqrt{81+0}[/tex]

[tex]Distance=9[/tex]

So, the distance between the two points is 9 units.

PLEASE HELP HOMEWORK

Answers

Answer:

Option (1)

Step-by-step explanation:

As we know, sum of an infinite geometric series,

[tex]S=\frac{a}{1-r}[/tex]

Here a = first term of the series

and r = common ratio.

If |r| < 1  Series converges

If |r| ≥ 1  Series diverges

For Option (1),

S = 262 + 301.3 + 346.5.........

Common ratio = [tex]\frac{301.3}{4.2}[/tex] = 1.15

Since |r| = 1.15 > 1

Series will diverge

Option (2),

S = 4.2 + 3.57 + 3.0345..........

Common ratio = [tex]\frac{3.57}{4.2}[/tex] = 0.85

Since |r| < 1

Series will converge.

Option (3),

S = 6651 + 729 + 81........

Common ratio = [tex]\frac{729}{6651}[/tex] = 0.11

Since |r| < 1

Series will converge.

Option (4),

S = 100, 50, 25...........

Common ratio = [tex]\frac{50}{100}=\frac{1}{2}[/tex]

Since |r| < 1

Series will converge.

Option (1) will be the answer.

HELP PLZZZZZZZZZZZZ!!!!!

Answers

Answer:

Option (1)

Step-by-step explanation:

''A perpendicular bisector makes 90° with the other line segment and divides the segment into two equal parts."

From the given picture,

If [tex]\overleftrightarrow{DE}[/tex] is a perpendicular bisector of [tex]\overline{AC}[/tex] following properties must be followed.

1). m(∠DBC) = m(∠DBA) = 90°

2). AB ≅ BC

Therefore, additional information we will require is AB ≅ BC

Option (1) will be the answer.

Explain how you determine each of the two expressions of the equation when the mathematical statement is given in words. Explain how you determine each of the two expressions of the equation when the mathematical statement is given in words.

Answers

Answer: This can be done by properly interpreting the words into appropriate signs and digits.

Please check below for explanation of WORD PROBLEMS.

Step-by-step explanation: In mathematics, as you move to a higher level, you would encounter more of word problems than simply figures and signs. This simply means, you would be presented with series of statements that should be interpreted and hence an equation would be derived and then solution proffered. First it is really important to note that an equation only exists when the expression on one side is equal to that on the other side. Equally important are the following expressions;

(1) Sum refers to addition (plus)

(2) Difference refers to subtraction (minus)

(3) Product refers to multiplication (times) and

(4) Quotient refers to division (divide)

(5) The same as refers to equal to

Hence, interpreting the expression is largely determined by the use of any of the above expressions and the slightest error in interpreting negates everything afterwards.

So on the one hand, one set of statements will usually tell you that, "so and so is the same as" this and that. This is interpreted as "so and so" is equal to "this and that."

A simple example would help to illustrate this;

Illustration:

(a) Four times a number added to a dozen would result in seven times that same number.

Solution; Let the number be x. Four times a number means 4 times x, which gives you 4x.

Added to a dozen means you add 4x to  a dozen, that is 4x + 12.

This would result in seven times that same number. Simply put, what you just did above (4x + 12) would result in or would be equal to 7 times x which is 7x. This now gives you,

4x + 12 = 7x.

Therefore to determine each of the two expressions of an equation is largely dependent on properly interpreting the words into the appropriate signs and figures (that is, plus, minus, times, divide and equal to).

Work out ( 4 × 10 6 ) × ( 2 × 10 7 ) Give your answer in standard form.

Answers

Answer:

8 × 10¹³

Step-by-step explanation:

=> [tex](4*10^6)*(2*10^7)[/tex]

=> [tex](4*2)*(10^6*10^7)[/tex]

When bases are same, powers are to be added.

=> 8 × 10 ⁶⁺⁷

=> 8 × 10¹³

You are walking directly away from your house. You are 5 miles away from your house when you start walking, so you can determine your distance by adding 5 to the number of miles you have walked. In the equation below, X represents the number of miles you have walked, and Y represents your distance from home in miles.

Answers

Answer:

The independent variable is the number of miles you walked.

Unfortunately, I do not know the dependant variable.

Step-by-step explanation:

so do it urself. :)

What is the domain of y = log: X?
all real numbers less than 0
O O O O
all real numbers greater than 0
all real numbers not equal to O
all real numbers
7

Answers

Answer:

  all real numbers greater than 0

Step-by-step explanation:

The log function is only defined for positive numbers. The domain of ...

   y = log(x)

is all real numbers greater than 0.


If h(x) = 5 + x and k(x)=1/x
which expression is equivalent to (k•h)(x)?

Answers

Answer:

(k•h)(x) is 5/x + 1

Step-by-step explanation:

(k•h)(x) is the product of the functions h(x) = 5 + x and k(x) = 1/x.

This product (k•h)(x) is 5/x + 1

Answer:

1/(5+×)

Step-by-step explanation:

Which compound inequality is represented by the graph?
-5 4 -3 -2 -1 0 1 2 3 4 5

Answers

Answer: x < -2 or x ≥ 4.

Step-by-step explanation:

In the graph, we can see that our set of numbers includes:

All the numbers larger than 4, and the 4 itself (because we have a colored dot in the 4)

Then this range of values can be represented with:

x ≥ 4.

(because this allows x to be larger than 4, or equal than 4)

Our set also includes all the numbers smaller than -2, where the -2 is not included because we have a white dot in the -2.

This can be represented as:

x < -2

Then our set can be described with:

x < -2 or x ≥ 4.

Then the correct option is the third one (counting from the top)

A company sells two versions of an antivirus software. The home edition costs $23.50, and the business edition costs $58.75. Last week, the company earned $29,668.75 from selling 745 copies of the software.


If x represents the number of copies of the home edition sold and y represents the number of copies of the business edition sold, which system of equations represents this situation?

Answers

Answer:

x + y = 745

23.50x + 58.75y = 29,668.75

Step-by-step explanation:

Since 745 copies were sold and  x represents the number of copies of the home edition sold and y represents the number of copies of the business edition sold:

x + y = 745

Since the home edition costs $23.50, and the business edition costs $58.75:

The money earned from home edition is = 23.50x

The money earned from business edition is = 58.75y

Since the company earned $29,668.75:

23.50x + 58.75y = 29,668.75

The graph represents this system of equations. y equals 4 minus x. y equals y minus 2. A coordinate grid with 2 lines. The first line passes through (0, 4) and (3, 1). The second line passes through (0, negative 2) and (3, 1). What is the solution to the system of equations? A. (–2, 4) B. (1, 3) C. (2, 4) D. (3, 1)

Answers

Answer:

D

Step-by-step explanation:

From the graph, the lines intersect at (3, 1) so that is the answer.

IM STUCK ON THIS QUESTION! I NEED HELP PLEASE

Answers

Answer:  A (first option):  y-intercept = 9, zeros = {1, -1, 3, -3}

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis.

The zeros are the x-intercepts which is where the graph crosses the x-axis.

The graph touches the y-axis when y = 9

The graph touches the x-axis when x = -3, x = -1, x = 1, and x = 3

Which is the graph of x Greater-than-or-equal-to 98.6? A number line going from 95 to 103. A closed circle is at 98.6. Everything to the right of the circle is shaded. A number line going from 95 to 103. An open circle is at 98.6. Everything to the right of the circle is shaded. A number line going from 95 to 103. An open circle is at 98.6. Everything to the left of the circle is shaded. A number line going from 95 to 103. A closed circle is at 98.6. Everything to the left of the circle is shaded.

Answers

Answer:

The correct option is;

A. A number line that goes from 95 to 103. A closed circle is at 98.6. Everything to the right is shaded.

Step-by-step explanation:

To represent x greater-than-or-equal-to 98.6 on the number line we note that an open circle stands for either a less than or a greater than, while an open circle stands for either less than or equal to or greater than or equal to

The correct way to represent x greater than or equal to 98.6 on the number line, we indicate the point 98.6 with a closed circle and we shade everything in the region of the solution which is to the right of the closed circle

Therefore the correct option is A. A number line that goes from 95 to 103. A closed circle at is at 98.6. Everyting to the right is shaded.

Answer:

the correct answer is A

Step-by-step explanation:

How can i Find the difference. in simplest form r/s - 9r/s

Answers

Answer:

simplest Form (fractions) A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers.

Step-by-step explanation:

To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers). hope this helps you :)

Answer:

-8r/s

Step-by-step explanation:

r /s - 9r /s

The denominator is the same so subtract the numerators

r - 9r

-8r

Put this back over the denominator

-8r/s

А
D
B
С
If IZABD = 76°, and m2DBC = 68°,
then m ABC = [? ]

Answers

Answer:

m<ABC = 144 degrees

Step-by-step explanation:

m<ABD = 76 degrees

m<DBC = 68 degrees

So,

m<ABC = m<ABD+m<DBC

m<ABC = 76+68

m<ABC = 144 degrees

If x 3=-27, then what is x?
-3
3
9
Question #8MultipleChoice

Answers

Answer:

x=-9

Step-by-step explanation:

3 x=-27

x = -9

Answer:

-9

Step-by-step explanation:

x3 = -27 OR 3x = -27

3x/3 = -27/3

x = - 9

Jake had 23 apple he game 9 to his ex girlfriend and he devide the rest into 2 bros how many do he have left

Answers

Answer:X×2+9=23

Step-by-step explanation:2x+9=23

2x=23-9

=14

X=14/2

=7( he gave to his bros)

But since he gave all the apples to his ex and brothers he probably doesn't have any left

Mark me as Brainliest if I'm right (though I doubt it )

Find the least number which must be added to 6203 to obtain a perfect square.
Also, find the square root of the number so obtained.

Answers

Answer:

79

Step-by-step explanation:

       78

         ---------

7 |       62 03 

          49

         ----------

148 |   13 03

          11 84

         -----------

            19

         -----------

78^2 = 6084.

We observe that 78^2 < 6203.

79^2 = 6241.

We observe that 79^2 > 6203.

Hence the number to be added to 6203 is 6241 - 6203 = 38.

6203 + 38 = 3241

                  = 79 * 79

                  = 79.

Therefore 38 should be added to 6203 to obtain a perfect square.

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