The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1. The events are not independent because the .

Answers

Answer 1

Answer:

The events are not independent because the product of their marginal probabilities is not equal to their joint probability

Step-by-step explanation:

Two events A and B are said to be independent with respect to probability if the product of their marginal probabilities is equal to their joint probability. In the question presented we have;

Pr(A) = 0.4

Pr(B) = 0.2

Pr(A n B) = 0.1

The product of their marginal probabilities is;

Pr(A) * Pr(B) = 0.4 * 0.2 = 0.08

Their joint probability is given as;

Pr(A n B) = 0.1

Clearly, Pr(A) * Pr(B) ≠ Pr(A n B) and thus the events are not independent.

Answer 2

Answer:

Product of P(A) and P(B) is not equal to P(A and B)

Step-by-step explanation:

it would be option C on E2020


Related Questions

2. Shakia has five days to read a 200-page book. If she wants to
read the same number of pages each day, how many pages
should she read each day?
Estimate Jira ordered a book for $6.99, a dictionary for $8.99, a
set of maps for $5.99. Estimate the price for all three items. Then f
the actual price.
Patrick practiced the harmonica for 7 weeks before his recital. How
many days are equal to 7 weeks?
One third of the books were placed on the first shelf. What fraction
the books were not placed on the first shelf ?
Represent To what decimal number is the arrow pointing? Wha
mixed number is this?

Answers

Answer:

Shakia will read 40 pages each day.

Step-by-step explanation:

To find out how many pages Shakia should read each day, you have to divided 200 by 5, and you will get an answer of 40 pages.

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Answer:

The estimate price for all three items is $22.00.

The actual price would be $21.97.

Step-by-step explanation:

To find the estimate price, just round each price to the nearest whole number, so $6.99 → $7.00, $8.99 → $9.00, and $5.99 → $6.00. Add them all together and you'll get $22.00.

To find the actual price without estimating, simply add $6.99 + $8.99 + $5.99, and the answer is $21.97.

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Answer:

49 days are equal to 7 weeks.

Step-by-step explanation:

Since there are 7 days in 1 week, and you want to find out how many days are in 7 weeks, you just multiply 7 x 7 and get 49 days.

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Answer:

2/3 of the books were not placed on the first shelf.

Step-by-step explanation:

All you have to do to answer this problem is subtract 3/3 - 1/3 and you'll find out how many books are not placed on the first shelf.

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In order to solve the last problem, I need more information.

Regis has a bag with 8 tiles numbered 1 through 8. He randomly draws one bag without looking. Which of the following describes a likely outcome?

Answers

He has a likely outcome of 1/8

*** PLEASE HELP ASAP

what is the length of the hypotenuse of the triangle?

1. 22 ft
2. 33 ft
3. 57 ft
4. 65 ft​

Answers

Answer is square root of 65

Explanation:

Use the pathagreom theoream: a’2+ b’2= c’2 (C= hypotenus and a + b is legs)

Substitute:

7^2 + 4^2 = c^2

65= c^2

Square root both sides and you get … c= square root of 65

The hypotenuse of the triangle is AB = √65 feet

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides of the triangle are

The measure of AC = 7 feet

The measure of side BC = 4 feet

Now , for a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

AB² = AC² + BC²

On simplifying , we get

AB² = 7² + 4²

AB² = 49 + 16

Taking square roots on both sides , we get

AB = √65 feet

Hence , the hypotenuse of the triangle is AB = √65 feet

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

Sanaa works at a candy store. A customer bought 3.23 pounds of licorice that costs $3.99 per pound including tax. How much money should Sanaa collect from the customer?

Answers

Answer:

$12.89

Step-by-step explanation:

3.23 lb × 3.99 $/lb = 12.8877 $

Since we have to round to the nearest cent, Sanaa should collect $12.89.

Solve for x: 0.25x+0.1x=9.8

Answers

Answer:

x=28

Step-by-step explanation:

Answer:

x=28

Step-by-step explanation:

Simplifying

0.25x + 0.1x = 9.8

Combine like terms: 0.25x + 0.1x = 0.35x

0.35x = 9.8

Solving

0.35x = 9.8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '0.35'.

x = 28

Simplifying

x = 28

Box macaroni and cheese $1.20 for 5.5 ounces = $____ per ounce Question 1 options: 0.22 0.24 1.20

Answers

Answer:I believe the answer is $0.24

Step-by-step explanation:

Answer:

0.22.

Step-by-step explanation:

A female gorilla has a mass of 85,000 grams a male gorilla has amass of 220 kilograms what is the difference between these two masses in grams please show work

Answers

Answer: 220000 grams for male

Step-by-step explanation:

The difference between 85,000 grams and 220 kilograms is that the Male gorilla weighs about 135,000 grams more than the female gorilla.

You can do the math by converting the kilograms to grams and then subtracting how much the Male gorilla weighs by how much the female gorilla weighs.

7 eights into decimal and fraction​

Answers

Answer:

Decimal Form: 0.875    Fraction Form: 7/8

Step-by-step explanation:

7 divided by 8 is 0.875 and another way to write seven eighths is 7/8

I hope this helps

I need the value of Z.... please look at the attachment.

Answers

Answer:

Value of Z is 16.39

Step-by-step explanation:

each line is 0.08 away.

the value of z is 16.39

hope this helped! have a nice day!

Michael has a sink that is shaped like a half-sphere. The sink has a volume of 3000/3 π in3. One day, his sink is clogged. He has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely full when Michael begins scooping. (a) One cup has a diameter of 6in. and a height of 8 in. How many cups of water must Michael scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. (b) One cup has a diameter of 10in. and a height of 8in.How many cups of water must he scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number

Answers

Answer:

A. 14 times

B. 5 times.

Step-by-step explanation:

We know the volume of the sink, now we need to find the volume of the cup(s) he's using to empty it out.. to find out how many scoops he'll have to do.  

We'll assume he can actually empty it all, even if it's unlikely he can scoop the last 5%-10% of it due to the shapes/sizes of the sink and the cup. We'll also assume he completely fills the cup (which is impossible due to angles).

The volume of the sink is 3000/3 π cubic inches,  let's simplify that as 1000  π cubic inches.

a - Cylindrical cup, diameter 6 inches, height: 8 inches.

We remember the volume of a cylinder is found using this formula:

V = π r²h

So, we have:

V = π * 3² * 8 = 72π

So, how many times does Michael has to scoop (S):

[tex]S = \frac{1000 \pi }{72 \pi } = 13.88[/tex]

Of course, he can't scoop 0.83 times... so we'll round it up.

So, Michael will have to scoop 14 times with this first cup.

b - Cylindrical cup, diameter 10 inches, height: 8 inches.

We remember the volume of a cylinder is found using this formula:

V = π r² h

So, we have:

V = π * 5² * 8 = 200π

So, how many times does Michael has to scoop (S):

[tex]S = \frac{1000 \pi }{200 \pi } = 5[/tex]

So, Michael will have to scoop 5 times with this second cup, which is not surprising since the volume of the second cup is nearly the triple of the first one.

What is the value of the expression 4x − y when x = 3 and y = 1?

1
6
11
12

Answers

Answer:

11

Step-by-step explanation:

4x -y

substitute numbers for variables

4(3) - 1 -- multiply first

12-1   subtract

11

Option C is correct. The values of the expression 4x − y when x = 3 and y = 1 will be 11.

What exactly is a polynomial?

They are mathematical formulas containing variables raised by non-negative integers, coefficient, and constants involving only addition, subtraction, multiplication, and non-negative exponentiation of variables.

The given expression is;

4x − y

Put, x = 3 and y = 1

⇒4x − y

⇒4(3)− 1

⇒11

The values of the expression 4x − y when x = 3 and y = 1 will be 11.

Hence, option C is correct.

To learn more about polynomials, refer:

https://brainly.com/question/27343162

Can someone help like quickly I have to submit this in ten minutes.

Answers

Answer:

c:188.1 gal

Step-by-step explanation:

Baisically, you have to start by finding the volume of the pool. You multiply length*width*height(deepness).

3.8*5.5*1.2=25.08 ft^3

To convert from ft to gallons, we have to multiply by 7.5

25.08*7.5=188.1 gal

Please Answer..... Thanks :)

Use the distributive property to remove the parentheses.

5(9 - v)

Answers

Answer:

45 - 5 v

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

5 × 9 = 45

5 × - v = - 5 v

45 - 5 v

Answer:

This is what you would do!

One, you start off by multiplying 5 into the parentheses (9 and v)

Next, it will look like this,

5(9)-5(v)

Then multiply your equation

5x9=45

5xv=5v

And this is what it would look like

45-5v

(Sometimes this would just stay like this, put if your teacher wants the unknown number to be by itself, this is what you would do next)

Divide 5 to both problems

45/5  5v/5

9=v

(That last part is if you need it but hopes it helps :))

Step-by-step explanation:

please help explain good luck

Answers

Answer:

27

Step-by-step explanation:

Remember to follow PEMDAS. Note that, when multiplying or dividing:

1) one positive and one negative = negative number

2) two positive = positive number

3) two negative = positive number

(-7)(-5) = -7 * -5 = 35

+(-8) = +1 * -8 = -8

Subtract:

35 - 8 = 27

27 is your answer.

~

first do -7 times -5 because Parentheses means multiplication. After, you would add your answer to -8. Your answer would be 27.

EASY MATH!
ASAP!

What are the color of the shoes worn by students in my school?
What are the heart rates of students in a sixth-grade class?

For each question write a sentence explaining if it is a statistical question or not.

Answers

Answer:

I think both

Step-by-step explanation:

Statistical question are questions that can be collected by data that varies. Here, both statements ask for a variety of data from multiple students, so I believe both are statistical. I hope this helps!

Answer:

both :) welcome hope it helps

Identify the geometric mean of 1/3 and 1/27.

Answers

Answer:

1/9

Step-by-step explanation:

To find the geometric mean of two numbers,  multiply them together, then take the square root

G.M = sqrt( 1/3 * 1/27)

        = sqrt(1/81)

       = 1/9

Which of the following statistical measures is least appropriate for describing the data set shown below?

1, 5, 5, 5, 6, 6.5, 7, 30
a mode
b mean
c median

Answers

mean is the answer nnnnnnnnn

Answer: choice a, the mean

Step-by-step explanation:

Brad sold candy bars and cookies for a fundraiser at school. Candy bars sold for $3, and cookies sold for $5. He sold a total of 20 items and made $76. How many candy bars did Brad sell? 12 14 16 18]

Answers

Answer: First option

12 candy bars were sold

Step-by-step explanation:

Call x the amount of candy sold and call z the amount of cookies sold. Then we know that

[tex]x + z = 20[/tex]

We also know that candy bars sell for $ 3 and cookies sell for $ 5. The profit was $ 76

So:

[tex]3x + 5z = 76[/tex]

To find the quantity of candy bars sold we must solve the system of equations:

[tex]x + z = 20\\\\3x + 5z = 76[/tex]

Multiply the first equation by -5 and add it to the second equation

[tex]-5x -5z = -100[/tex]

               +

[tex]3x + 5z = 76[/tex]

--------------------------------

[tex]-2x = -24\\\\x = 12[/tex]

Brad sold 12 candy bars.

To find this answer, you could do the following steps.

1. Use the formula $3b + $5c = $76 where "b" is the number of bars and "c" is the number of cookies.

2. Fill in each of the given answers (12, 14, 16, 18) into "b".

3. Subtract the given answers from 20 to get the number of cookies (8, 6, 4, 2).

4. Solve to see if it comes out even.

Below are all the solutions in which you use these steps.

A. $3 * 12 + $5 * 8 = $76

$36 + $40 = $76

$76 = $76

True

B. $3 * 14 + $5 * 6 = $76

$42 + $30 = $76

$72 = $76

False

C. $3 * 16 + $5 * 4 = $76

$48 + $20 = $76

$68 = $76

False

D. $3 * 18 + $5 * 2 = $76

$54 + $10 = $76

$64 = $76

False

Thus making 12 the answer. I hope this helps!

Can someone please answer this with steps

Answers

1) Put all equations together and add them up to equal 180. Triangle's angles add up to 180°

EX) (x+10)+(3x-5)+x=180

2)Combine like terms.

EX) (5x+5)=180

3) Subtract 5 to both sides

EX) 5x=175

4) Divide both sides by 5.

EX) x=35

15 POINTS!
Select all the measurements that could represent volume.

A. 23 1/6 km8
B. 8 ft2
C. 362 cm6
D.10.1 mm3

Answers

Final answer:

The only correct measurement that represents volume in the list is D.10.1 mm3, which uses cubic millimeters, a standard unit of volume. The others are either measurements of area or contain typos/error in notation.

Explanation:

To select all the measurements that could represent volume, we look for units that indicate three-dimensional space. Volume measurements typically have units raised to the third power, indicating length, width, and height dimensions. The correct options for units of volume are as follows:

D.10.1 mm3 - Cubic millimeters are a standard unit of volume, which makes option D the only correct choice.

Here are clarifications for the other options:

A. 23 1/6 km8 - This is not a standard notation for volume or any other measurement and is likely an error in notation or a typo.B. 8 ft2 - Square feet are a measure of area, not volume.C. 362 cm6 - Like option A, this is not a standard notation for volume and likely an error.

Volume in Various Units

When expressing volume, common standard units include milliliters (mL), cubic centimeters (cm3), and liters (L) for smaller volumes, and cubic meters (m3) for larger volumes. To provide a couple of examples:

A car's gas tank volume might be expressed in liters.The volume of a small rectangular box would be measured in cubic centimeters, and we could calculate it by multiplying its length, width, and height.

How do I solve
[tex] \sin( a ) = .8325[/tex]

It says "Round to the nearest tenth."​

Answers

Answer:

[tex]a=56.4\degree[/tex]

Step-by-step explanation:

Let [tex]a[/tex] be an acute angle.

To solve: [tex]\sin(a)=0.8325[/tex], we take the sine inverse of both sides to obtain:

[tex]\sin^{-1}(\sin(a))=\sin^{-1}(0.8325)[/tex]

Recall  composition property of a function and its inverse function.

[tex]f^{-1}(f(x))=x[/tex]

We apply this property to the left hand side to obtain;

[tex]a=\sin^{-1}(0.8325)[/tex]

We now use our scientific calculator to obtain;

[tex]a=56.3564115\degree[/tex]

We round to the nearest tenth to obtain;

[tex]a=56.4\degree[/tex]

The probability of a given event is 0.03.

Which statement is true?


a.The event is likely to happen.

b.The event may happen, but it is not likely.

c.The event will definitely not happen.

d.The event has an equal chance of happening or not happening.

Answers

Answer:

b.The event may happen, but it is not likely.

Step-by-step explanation:

b.The event may happen, but it is not likely.  Why?  Because the probability given, 0.02, is very close to 0, which would indicate zero chance of the event happening.

Final answer:

The correct answer is b. The event may happen, but it is not likely. This is because a probability of 0.03 suggests a low likelihood of occurrence, being much closer to 0 than to 1.

Explanation:

The probability of an event is a way to quantify the likelihood that the event will occur, represented as a number between 0 and 1. A probability of 0 means an event is guaranteed not to happen, while a probability of 1 means an event is certain to happen. In this scenario, the probability of the given event is 0.03, which is quite small.

Considering that a probability value close to 0 indicates an event that is very unlikely to happen, and value close to 1 indicates an event that is very likely, it can be concluded that:

This statement (b) is true because a probability of 0.03 indicates that there is only a 3% chance of the event occurring, which suggests that while it's not impossible, it's far less likely to happen than not.

Milan drove 792 miles in 11 hours. At the same rate, how many miles would he drive in 9 hours? Please Answer, Thanks. :)

Answers

Answer:

648

Step-by-step explanation: You have to do 792 divided by 11 wich = 72 then do 72 x 9 and it = 648.

the graph of y= 6cos (x-2) - 3 is obtained by shifting the graph of y=6 cos x-3 horizontally 3 units to the right. true or false?

Answers

Answer:

false.

Step-by-step explanation:

Given the function g(x) = f(x − k), can be sketched f(x) shifted k units horizontally. if k is negative, the function is shifted k units to the left.

Given the function g(x) = f(x) + k, we can say that the function is translated vertically upwards k times. If k is negative, the function is translated vertically downwards k times.

In this case, the function is translated two units to the right and 3 units down because the number "-3" is negative.

So it's false. The graph is translated three units downwards and 2 units to the right.

Answer:

The given statement is a false statement.

Step-by-step explanation:

We know that the transformation of the type:

f(x) to f(x+k)

is a horizontal shift of the graph.

The graph is shifted k units to the right if k is negative and if k is positive then the graph is shifted k units to the left.

Here we have the graph as:

                [tex]y=6\cos (x)-3[/tex]

and the translated graph is given by:

       [tex]y=6\cos (x-2)-3[/tex]

This means that:

f(x) → f(x-2)

i.e. the graph is shifted horizontally 2 units to the right ( since k=2 is positive )

How is 75,054 written in words

Answers

seventy-five thousand and fifty-four.

Answer:

seventy five thousand and fifty four

Step-by-step explanation:

What’s the perimeter of Patrick’s Figure?

Answers

Answer:

to find a perimeter of a square all you need to do is count how many units on one side. Then you multipluy it by four since there are four sides in a square

Step-by-step explanation:

which ratios form a proportion?​

Answers

2/3 and 8/12, because when you divide both 8 and 12 by 4 you get 2/3, which makes it proportional to 2/3

Answer:

2/3 and 8/12

Step-by-step explanation:

Omar makes a total of $51.75 selling brownies and muffins at a bake sale. If he sells 16 brownies for $2.25 each how many muffins does he sell at $1.75 each?

Answers

Omar sells 9 muffins. I hope this helps!

208+8.3x−10.8+2.4x PLEASE HELP ME AND FAST

Answers

Answer:

197.2+10.5x

Step-by-step explanation:

Combine regular numbers and combine x

208-10.8+8.3x+2.4x

197.2 + 10.5x

A chord is a diameter.
always
sometimes
never

Answers

The answer is sometimes, but this is only when the chord passes through the centermost point on the circle.

Hope this helps!

Sometimes is correct!

have a lovely day and don't forget to take care of yourself! ^-^

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