If P(A) = 0.25, P(B) = 0.60 and P(A and B) = 0.15, are the event A and B independent? Explain/show work.
​

The min is 4 as this is the smallest value and it is visually shown as the left-most point on the boxplot. This is the tip of the left whisker.

The value of the first quartile (Q1) is the left edge of the box and that is 7. The left whisker goes from 4 to 7. The left whisker represents 25% of the data, which is another way of saying "25% of the data is below Q1". So 25% of the distribution has between 4 and 7 teams.

Answer:

3/8

Step-by-step explanation:

The spinner A has 4 possible values:

1, 2, 3, 4

The spinner B has 4 possible values:

2, 3, 4, 5

The possible pairs we can have are:

(1,2), (1,3), (1,4), (1,5),

(2,2), (2,3), (2,4), (2,5),

(3,2), (3,3), (3,4), (3,5),

(4,2), (4,3), (4,4), (4,5).

The sum of these pair of values are:

3, 4, 5, 6,

4, 5, 6, 7,

5, 6, 7, 8,

6, 7, 8, 9.

So we have 6 values that are 5 or less, in a total of 16 values, so the probability of the sum being 5 or less is P = 6/16 = 3/8

Answer:

[tex]y=2x+5[/tex]

Step-by-step explanation:

[tex](5,0)[/tex]

Since the y-axis is cross on 5, that's the slope.

y=mx+5

To find x, let's use the formula;

[tex]m=\frac{rise}{run}[/tex]

[tex]m=\frac{6}{3}=2[/tex]

Answer:

196 pi, otherwise known as choice b

Step-by-step explanation:

14^2*pi

Answer:

b

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^2[/tex]. Plugging in the radius that you are given, you get [tex]\pi \cdot 14^2=196\pi[/tex], or answer choice b. Hope this helps!

Answer:

try 63

Step-by-step explanation:

14×9=126

126÷2=63

Answer: area of 63

Step-by-step explanation: the formula is Area = height * base/2

so now substitute Area = 9 * 14/ 2

multiply... Area = 126/ 2

then divide to get 63

hope this helps mark me brainliest if it did

Answer:

The solution is 2.5. The problem can be solved using the proportion:  

2

4

=

x

5

Step-by-step explanation:

I hope it makes since =)

Answer:

32 cubic feet

Step-by-step explanation:

To know the volume of a figure we have to calculate the area of its "base" and then multiply it by its height.

In this case we have a rectangular hole that has an area of 8 square feet.

As we said before:

Volume = Area x height.

If we substitute the value of the area of the rectangle and the height (or depth in this case) we would get:

Volume = 8 x 4 = 32 cubic feet.

Thus, the volume of John's hole is 32 cubic feet.

Answer:

32 cubic feet

Step-by-step explanation:

The volume of a rectangular prism is given by;

Length*width*Height

or, Area*height

Height = 4 feet

Area= 8 square feet

Conversion to Cubic feet is given by;

(cubic feet) = (square feet) × (height in feet)

Therefore,

Cubic feet = 8 square feet*4 feet

= 32 cubic feet.

Answer:

319 square feet.

Step-by-step explanation:

The walls of the room (the ones on the long side) have an area of 12 x 8 = 96 square feet each one. Thus, their area is 96 x 2= 192 square feet.

The other two walls have an area of 10 x 8 = 80 square feet each one. Thus, their area combined is 80 x 2 = 160 square feet.

Therefore, we have that the total area of the four walls is

192 +160 = 352 square feet

However, we have a door and a window that won't be painted.

The area of the door is: 3 x 7 =21 square feet

The area of the window is 3 x 4 = 12 square feet

Thus, the total amount of area that won't be painted is

21 + 12 = 33 square feet.

So we are going to take the total area minus the area that won't be painted to know the total area that Faron will pain:

352 - 33 = 319 square feet.

Thus, she will paint 319 square feet

Answer:

The measure of a circumscribed angle is equal to 180° minus the measure of the central angle that intercepts the same arc. If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

Step-by-step explanation:

Answer:

10y + 20 -11 =139

10y = 130

y = 130 / 10

y = 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

5(2y + 4) - 11 = 139

5*2y + 5*4 -11 = 139

10y + 20 -11 = 139

10y + 9 = 139         {subtract 9 form both sides}

10y + 9- 9 = 139 -9

10y = 130 {Divide both sides by 10}

10y/10 = 130/10

y = 13

Answer:

8.6 cm

Step-by-step explanation:

Please see the picture attached below.

Answer:

x = 2

y = 0

Step-by-step explanation:

To solve by elimination, you have to first change the equations so that you can cancel out one variable.

Change the second one.

4y = 24x - 48

Subtract them:

7x = -24x + 62

31x = 62

x = 2

y = 0

7x+4y=14

y=6x-12

Reorder:

7x+4y=14

-6x+y=-12

Multiply bottom one by 4:

7x+4y=14

4(-6x+y=-12)

=>

7x+4y=14

-24x+4y=-48

Combine/Eliminate:

-17x=-34

/-17    /-17

x=2

Plug x back in to one of the equations:

y=6(2)-12=12-12=0

Answer:

x=2, y=0

Answer:

DG = 31.75

Step-by-step explanation:

The question is incomplete; however, I'll answer your question using attached image.

From the attachment,

<G = 72° and DO = 8.2

Required

DG?

To get the length of side DG, We have to look for a trigonometric ratio that relates DG, DO and <G together.

DG represents the hypothenus of the triangle;

DO represents the opposite of the triangle;

The two sides are bound by the sine function.

i.e.

Sin72° = DO/DG

Sin72° = 8.2/DG

Multiply both sides by DG

DG * Sin72 = 8.2/DG * DG

DG * Sin72 = 8.2

Sin72 = 0.2538

So, DG * Sin72 = 8.2 becomes

DG * 0.2538 = 8.2

Divide both sides by 0.2583

DG * 0.2583/0.2583 = 8.2/0.2583

DG = 8.2/0.2583

DG = 31.746031746

DG = 31.75 --- Approximated

Answer:

The answer is -9 (If your looking for x)

Step-by-step explanation: I would suggest using the app Photomap for this kind of stuff. You take a picture of an equation and it gives you a step by step explanation and the answer. Glad I could help!

Answer:

42m +12

Step-by-step explanation:

6(7m+2)​

Distribute

6*7m +6*2

42m +12

Answer:

42m+12  

Step-by-step explanation:

Answer:

there is no division symbol on laptops, but you could either search it up and copy and paste it or write it as a fraction

Answer:

I believe you can do / for division, the same symbol for fractions, on most, however, there is another way.

I typed Alt-246. Press and hold the Alt key while you type 2 4 6 on the numeric keypad, not the numbers across the top of the keyboard. You need to have Num-lock on.

÷

Another useful one is Alt-241, which is the plus or minus symbol: ±

These are extended ASCII codes. They work on a PC. There is something similar on a Mac, but I don't know what it is. You could look it up on the internet.

51 ft.

multiply the pe.ipheral roaming space together

Answer:

Step-by-step explanation:

Let x be a random variable representing the life of a Brand Q car battery. With the mean and standard deviation given, then the Empirical Rule says the that

1) About 68% of the x values lie between 1 standard deviation below and above the mean.

2) About 95% of the x values lie between 2 standard deviations below and above the mean.

3) About 99.7% of the x values lie between 3 standard deviations below and above the mean.

From the information given,

mean = 36 months

Standard deviation = 4 months

Therefore,

1) 68% of all batteries will have a life between 36 - 4 = 32 months and 36 + 4 = 40 months.

2) 95% of all batteries will have a life between 36 - 2(4) = 28 months and 36 + 2(4) = 44 months.

Answer: x = 0, y = 7

-x+y=7

add x to both sides

y=x+7

plug this in for y in the other equation

6x-(x+7)=-7​

simplify

6x-x-7=-7

simplify

5x-7=-7

add 7 to both sides

5x=0

divide both sides by 5

x=0

plug in to one of the equations to find y

-(0)+y=7

y=7

Therefore, x=0 and y=7.

Hope this helps!

Answer:

x = 0. y = 7. (0,7)

Step-by-step explanation:

-x+y=7

+x. +x

y = x +7

6x-y= -7

6x - (x + 7) = -7

6x - x - 7 = -7

5x -7 = -7

+ 7. +7

5x = 0

÷5. ÷5

x = 0

-x + y = 7

0 + y = 7

y = 7

Answer:

Richard

Step-by-step explanation:

Gavyn: 55 wpm

Stephen: 55 wpm

Richard: 60 wpm

Answer:

2/26

Step-by-step explanation:

The total number of students = 26 students

Number of students that like maths = 15 students

Number of students that like English = 13 students

Number of students that does not like English or maths = 9

We have to find the number of students that likes both Maths and English.

Therefore,

Let x be the number of student that like both Maths and English subjects

15 - x + x + 13 - x + 9 = 26

-x + 37 = 26

-x = -11

x = 11

Number of student that offer english but not math

 Number of students that like English but not Maths   = Number of Students that like English - Number of students that like English and Maths

= 13 - 11                                                 = 2 

Therefore, probability that a student chosen at random like English but not Maths.    

Probability = Number of events ÷ Number of possible outcomes  

Number of events = Number of students that like English but not Maths= 2

Number of Possible outcomes = Total number of students = 26 

The probability that a student chosen at random like English but not Maths.

= 2/26

Answer:

70,000

Step-by-step explanation:

5 always rounds UP to the nearest whole number, therefore, 70,000.

65321 rounded to nearest ten thousand's place becomes 70000.

An easy way of rounding numbers to ten thousand's place we'll understand by an example.

65321 have to rounded to ten thousand's place which is either 60000 or 70000.Here the given number is more closer to 70000 than 60000 so therefore 65321 rounded to the nearest ten thousand is 70000.

According to the given question

We have 65321 and we have to round it to the nearest ten thousand.

To round a number nearest to ten thousand first we'll check the digit of thousand's place which is 5 we'll add 1 to it make all the digits after that 0.

Now this becomes 66000.

Now we'll check for the digit in ten thousand's place which is 6 we'll add 1 to it and make the rest of the digits 0 hence it becomes 70000.

learn more about rounding of numbers here :

https://brainly.com/question/19031319

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Answer:

The graph changes from the original position to right 3 units and down 1 unit.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

Answer:

The Probability of getting lemon drink on both draws  is 1/16

The Probability of getting diamond on both cards is 1/17

Step-by-step explanation:

1)

No. of lemon-lime flavored bottle = 3

No. of orange flavored bottle = 4

No. of fruit punch flavored bottle = 5

Total bottles = 12

We are given that  You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly select another bottle. Both times you get a lemon-lime drink.

Probability of getting lemon drink on both draws with replacement =[tex]\frac{3}{12} \times \frac{3}{12} = \frac{1}{16}[/tex]

So, The Probability of getting lemon drink on both draws  is 1/16

2)

No. of diamond cards = 13

Total cards =52

Probability of getting diamond on first card = [tex]\frac{13}{52}[/tex]

Probability of getting diamond on second card =[tex]\frac{12}{51}[/tex]

Probability of getting diamond on both cards = [tex]\frac{13}{52} \times \frac{12}{51}=\frac{1}{17}[/tex]

So, The Probability of getting diamond on both cards is 1/17

Answer:

x > - 5

Step-by-step explanation:

[tex]4 - x < 9 \\ - x < 9 - 4 \\ - x < 5 \\ \red{ \boxed{ \bold{ x > - 5}}}[/tex]

The inequality 4 - x < 9 is x > -5.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

4 - x < 9

Adding x on both sides.

4 < 9 + x

Subtracting 9 on both sides.

4 - 9 < x

-5 < x

x > -5

Thus,

x is greater than -5.

Learn more about inequalities here:

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Answer:

3.14

Step-by-step explanation:

The required area of the circle is given as 3.14 square units, as of the circumference of 6.28 units.

The area of a circle is given by the pie times square of the radius.

Area of circle = πr²

Here,
circumference of a circle is 6.28 units.

circumference = 6.28
2 × π × r = 6.28
r  = 1

Now,

Area of the circle = πr²
Area of the circle = 3.14 × 1²

Area of the circle = 1 square unit

The required area of the circle is given as 3.14 square units, as of the circumference of 6.28 units.

Learn more about circle here:

brainly.com/question/11833983

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Answer:

x = - 1

Step-by-step explanation:

7 (4x + 1) – 3x = 5x – 13

28x + 7 - 3x = 5x - 13

25x + 7 = 5x - 13

25x - 5x = -13 - 7

20x = -20

x = -20/20

x = -1

Answer: x = -1

Step-by-step explanation:

[tex]7 (4x + 1) -3x = 5x-13[/tex]

Distribute 7.

[tex]28x+7-3x=5x-13[/tex]

Subtract 7.

[tex]28x-3x=5x-13-7[/tex]

Subtract 5x

[tex]28x-3x-5x=-13-7[/tex]

Combine like terms;

[tex]20x=-20[/tex]

Divide by 20.

[tex]x=\frac{-20}{20}\\ x=-1[/tex]

Answer:

4 m squared minus 20 m n + 25 n squared; a perfect square trinomial

Step-by-step explanation:

Given expression,

(negative 2 m + 5 n) squared

By using (a+b)² = a² + 2ab + b²,

∵ A trinomial which is the square of a binomial is called a perfect square trinomial.

Thus,  is a perfect square trinomial.

Answer:

0.37 goldfish per cubic feet

Step-by-step explanation:

Density has the formula = number/volume

Density = 19/52 = 0.36538 which is rounded to 0.37

Answer:

0.37 goldfish / cu ft. (to the nearest hundredth).

Step-by-step explanation:

Density = number of goldfish / volume of the tank.

That is  19 / 52

= 0.37 goldfish / cu ft.