Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding. let a be the event that the person has gone surfing, and let b be the event that the person has gone snowboarding. a 4-column table has 3 rows. the first column has entries has surfed, never surfed, total. the second column is labeled has snowboarded with entries 36, 12, 48. the third column is labeled never snowboarded with entries 189, 63, 252. the fourth column is labeled total with entries 225, 75, 300. which statement is true about whether a and b are independent events? a and b are independent events because p(a∣b) = p(a) = 0.16. a and b are independent events because p(a∣b) = p(a) = 0.75. a and b are not independent events because p(a∣b) = 0.16 and p(a) = 0.75. a and b are not independent events because p(a∣b) = 0.75 and p(a) = 0.16.

Answers

Answer 1

Using the concept of independent events, it is found that the correct statement is:

a and b are independent events because p(a∣b) = p(a) = 0.75.

When are two events independent?


Two events, A and B, are independent if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this problem, the events are:

Event A: Surfing.Event B: Snowboarding.

In this problem, out of 300 students, 225 have surfed, hence:

[tex]P(A) = \frac{225}{300} = 0.75[/tex]

48 have gone snowboarding, hence:

[tex]P(B) = \frac{48}{300} = 0.16[/tex]

36 have done both, hence:

[tex]P(A \cap B) = \frac{36}{300} = 0.12[/tex]

The multiplication is:

P(A)P(B) = 0.75 x 0.16 = 0.12.

That is, the probability of A given B is P(A|B) = P(A) = 0.75, hence they are independent.

More can be learned about independent events at https://brainly.com/question/14478923

Answer 2

Answer:

the answer is B

Step-by-step explanation:


Related Questions

Answer number 1 please. Thank you

Answers

Answer:

A and B and C

Step-by-step explanation:

D and E are both resulting in answers that are not 2 and 1/2

Which triangle would be most helpful in finding the distance between the points (-4,3) and (1, -2) on the coordinate
plane?

Answers

Answer:

Right Triangle, the distance between these two coordinates is 5.83 in whatever unit you're measuring.

Step-by-step explanation:

Generally when you're using triangles to find the distance between two graphed points, you're using a right triangle.

[tex]9 + 25 = 34\\\sqrt{34}=5.83[/tex]The reason behind that being you can draw lines on the x and y axis of these points and find where they connect. After doing so, you can directly connect the two points and create a right triangle.

To find the distance between the two points using a right triangle, we can use the formula for the hypotenuse: [tex]a^2 + b^2=c^2[/tex]

A and B is the distance between the point and where the lines you've drawn intersect. C is the resulting distance between the two points.

Plugging in A and B, which is 3 and 5, we can find C. 3 squared is 9 and 5 squared is 25.

[tex]3^2 + 5^2 = 9 + 25[/tex]

Now we add the two and find the square root.

[tex]9+25=34\\\sqrt{34} =5.83[/tex]

Your answer is 5.83

Which inequality is represented by this graph? A. B. C. D.

Answers

The correct answer is C. This is because the shaded part, the y, is less than the line, so it would be <, but the line is not dotted, so then it would be less than or equal to.

Find the surface area of the cylinder. Type an exact answer in terms of pi.

Answers

Answer:

154π cm²

Step-by-step explanation:

Radius (r) = 7 cm

Height (h) = 4 cm

Surface area of cylinder

= 2πr (h + r)

= 2π (7) (4 + 7)

= 2π (7) (11)

= 2π (77)

= 154π cm²

______

Hope it helps ⚜

Answer:

154π cm²

Step-by-step explanation:

Formula for the Surface Area of a Cylinder

SA = 2πr (h + r)

Solving

Here r = 7 cm and h = 4 cmSA = 2πr (h + r)SA = 2π × 7 (7 + 4)SA = 14π × 11SA = 154π cm²

Math question about geometry. (will give brainliest to whoever answers correctly with an explanation)

Answers

Answer:

72 cm³

Step-by-step explanation:

The formula to find the volume of a trianglular based pyramid is [tex]V=\frac{1}{3}bh[/tex], where V is the volume, b is the area of the vase, and h is the vertical heightSubstitute in the values[tex]V=\frac{1}{3}\times (\frac{1}{2}\times 12\times 4)\times 9 = \frac{1}{3}\times 48\times 9 = \frac{1}{2}\times 48\times 3 = 72[/tex]

4x+3y=9 and 3x +4y = 36

Answers

The solution of the system of equations:

( -16.7, 19.28)

How to solve the system of equations?

Here we have the system:

4x+3y=9

3x +4y = 36

First, we need to isolate one of the variables in one of the equations, let's isolate x on the second one:

x = 36/3 - (4/3)y = 9 - (4/3)y

Now we can replace this in the other equation:

4*(9 - (4/3)y) + 3y = 9

36 - (16/3)y + (9/3)y = 9

- (7/3)y = -36 - 9 = -45

y = (3/7)*45 = 19.28

To get the value of x, we get:

x = 9 - (4/3)*19.28 = -16.7

Then the solution of the system is ( -16.7, 19.28)

If you want to learn about systems of equations:

https://brainly.com/question/13729904

#SPJ1

A flowerbed has an area of 12 square meters. What is the largest possible perimeter of the flowerbed?

Answers

Answer:

5 feet long and 1 foot wide, and vise versa.

Step-by-step explanation:

First of all, we can make pairs.

Then just look at what I do

(6, 0)       <= This can't be possible

(5, 1)       <= This is the largest

(4, 2)       <= This isn't the largest

(3, 3)       <= This isn't the largest

(2, 4)       <= This isn't the largest

(1, 5)       <= This is the largest

(0, 6)       <= This can't be possible

The ones labled "This is the largest" are the correct ones

Solve |d + 4| > 10
a.d<-14
b. d> 6
c. -14 < d<6
d. d<-14 or d > 6

Answers

Answer:

b. d > 6

Step-by-step explanation:

Answer:

D. d<-14 or d>6

Step-by-step explanation:

To solve for d, isolate it on one side of the equation.

|d+4|>10

d+4<-10 or d+4>10

1. d+4<-10

First, you have to subtract by 4 from both sides.

[tex]\sf{d+4-4 < -10-4}[/tex]

Solve.

Add or subtract the numbers from left to right.

-10-4=-14

[tex]\Longrightarrow: \boxed{\sf{{d < -14}}}[/tex]

2. d+4>10

Subtract by 4 from both sides.

[tex]\sf{d+4-4 > 10-4}[/tex]

Solve.

Subtract the numbers from left to right.

10-4=6

[tex]\Longrightarrow: \boxed{\sf{d > 6}}[/tex]

Therefore, the correct answer is "D. d<-14 or d>6".

I hope this helps. Let me know if you have any questions.

Please help! Please break down what equation or process I need to do to get the answer as well :/

Answers

Check the picture below.

What is 3/4 of 8/9? Make sure the answer is fully reduced.

Answers

Answer:

[tex]\frac{2}{3}[/tex]

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

Solve

"Of" means to multiply, so start off the equation multiplying the top numbers by the top numbers, and the bottom numbers by the bottom numbers as though they are whole numbers.

[tex]\frac{3*8}{4*9} = \frac{24}{36}[/tex]

Find the greatest common factors of 24 and 36, starting with 24

     24:  1, 2, 3, 4, 6, 8, 12, 24

     36:  1, 2, 3, 4, 6, 9, 12, 18, 36

As shown, the greatest common factors are 12, so divide by 12 to simplify.

[tex]\frac{24 / 12}{36/12} = \frac{2}{3}[/tex]

Two-thirds cannot be simplified, so that will be your final answer.

Please help!!!! Will mark brainliest if correct!!
Find the measure of the arc or angle indicated.

A. 60°
B. 90°
C. 30°

Answers

Answer: A

Step-by-step explanation:

Can someone teach me how do this! Please and thanks!

Answers

Check the picture below.

What is the solution to the equation 2(×+2. 4)=6. 4

Answers

Answer:

0.8

Step-by-step explanation:

2x + 4.8 = 6.4

2x = 6.4 - 4.8

2x = 1.6

x = 0.8

Answer:

x = 0.8

Step-by-step explanation:

In the question we're given with an equation that is 2 ( x + 2.4 ) = 6.4 . And we're asked to find the solution of the equation that means we have to find the value of x .

Solution : -

[tex] \longmapsto \: 2(x + 2.4) = 6.4[/tex]

Step 1 : Removing parenthesis by multiplying 2 with x and 2.4 :

[tex] \longmapsto \: 2x + 4.8 = 6.4[/tex]

Step 2 : Subtracting 4.8 on both sides :

[tex] \longmapsto \: 2x + \cancel{4.8} - \cancel{4.8 }= 6.4 - 4.8[/tex]

On further calculations :

[tex] \longmapsto \:2x = 1.6[/tex]

Step 3 : Dividing by 2 on both sides :

[tex] \longmapsto \: \frac{ \cancel{2}x}{ \cancel{2 }} = \frac{1.6}{2} [/tex]

Calculating further :

Here , we have removed decimal from 1.6 . So it'll become 16 and 10 it'll divided by 10

[tex] \longmapsto \:x = \cancel { \frac{16}{2}} \times \frac{1}{10} [/tex]

Step 4 : Cancelling 16 by 2 :

[tex] \longmapsto \:x = \frac{8}{10} [/tex]

[tex] \longmapsto \: \green{\underline{ \green {\boxed{x = 0.8}}}}[/tex]

Therefore value of x is 0.8 .

Verifying : -

We are verifying our answer by substituting value of x in given equation. So ,

2 ( x + 2.4 ) = 6.4

2 ( 0.8 + 2.4 ) = 6.4

2 ( 3.2 ) = 6.4

6.4 = 6.4

L.H.S = R.H.S

Hence, Verified .

Therefore, our value for x is correct .

#Keep Learning

In a school 50% of learner's are younger than 10 , 1/20 are 10years old and 1/10 are older than 10 but younger than 12, the remaining learner's are 12 years old . If there are 400 learner's in the school ,how many learner's are there in each age group?.​

Answers

Answer:

1/20=10 years old

In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?

50%= younger than 10

1/20=10 years old

1/10=older than 10 younger than 12

70=12 years or older

50%- 10/20

1/20-1/20

1/10-2/20

10/20+1/20+2/20=13/20

70 students =7/20

1/20 = 10 years old.

7/20 divided by 7 = 1/20

70 divided by 7=10

10 students are 10 years old

Answer:

~ 10 years old ~

Step-by-step explanation:

     1/20=10   : )

6.
April sold 85 tickets to a school play
and collected a total of $495. If adult tickets cost $10 each and child
tickets cost $5 each, how many adult tickets and how many child tickets did she sell?

Answers

Answer:

adult tickets =14

child tickets =71

Step-by-step explanation:

x is adult tickets

y is child tickets

x+y=85

10x+5y=495

y=85-x

2x+y=99

2x+(85-x)=99

x=99-85=14

y=85-x=85-14=71

A rectangular pool has a length of 10 feet, a width of 8 feet, and a height of 6 feet. What is the volume of the pool?

Answers

Answer:

volume = 10 x 8 x 6 = 480

Step-by-step explanation:

that’s the volume equation length x width x height

When f(x) = –3, what is x?

–29
–10
–3
–1

Answers

Answer:

x = - 1

Step-by-step explanation:

I hope this will help you

Which of the following is the difference of two squares? 16a^2-9b^6 4g-16h 25m^2+100n^2 2x^2-4y^2

Answers

Answer:

16a^2 - 9b^6

Step-by-step explanation:

16a^2 - 9b^6   ---> 16a² is the square of 4a; 9b^6 is the square of 3b³

This is the difference of 2 squares

4g - 16h --->  4g and 16h are not perfect squares.

 

25m^2 + 100n^2 ---> this is a sum of squares, not a difference of squares  

2x^2 - 4y^2 ---> 2x² is not a perfect square

Answer: 16a^2 - 9b^6

Sam is designing a survey to determine how people feel about the military adopting a new weapon. Which question would be MOST appropriate for such a survey? A) Should the military adopt the new weapon system called "Skynet?" B) Should the military adopt the new and very expensive weapon system, "Skynet?" C) Should the military adopt a weapon system which could kill millions of people? D) Should the military adopt a weapon system which will ensure that it is up to date?

Answers

I think A would be the correct answer

Answer:

A(should the military adopt the new weapon system called "Skynet?"

Step-by-step explanation:

In the game "Let’s Make a Meal" there are 10 covered dishes to choose from:2 broccoli, 2 carrot, 2 cake, 1 chicken, 2 fish, and 1 meatloaf. What is the probability of choosing a vegetable?

Answers

Answer: 4/10 chance or 40%

Step-by-step explanation: Vegetables- 4 Others- 6

solve the following....
[tex]-16y = 22 + 6x\\-11y - 4x = 15[/tex]

Answers

Answer:

x= -19/3

y= 31/33

Step-by-step explanation:

I hope this helps:)

3 ounces for every 3/4 cup

Answers

What is the question of the problem?

Which of the following statements is true about the three quadrilaterals?

A and B are similar but not congruent.
A and C are similar but not congruent.
A and B are similar and also congruent.
B and C are similar and also congruent.

Answers

hii the answer is
A and B are similar but not congruent
I think it should be right

Hello.
I need help with this question please.

A bag contains red, blue and yellow counters in the ratio 2:3:5
a) What fraction of the counters are red?
b) 9 of the counters are blue. How many of the counters are yellow?
c) How many counters are in the bag?

Pls reply with answers to a,b and c please.

Thanks​

Answers

Answer:

a) 2/10

b) 15

c) 30

Step-by-step explanation:

Ratio: 2:3:5 = R:B:Y

If we add them all together, we can find the denominator for the fraction of how many counters are in the bag. 2+3+5 = 10.

If the ratio for R = 2, then the fraction is 2/10 (simplified)

If 9 of the counters are blue, to find the number of the other counters, we multiply the ratio numbers by 3 (because 3 x 3 is 9). So, the number of red counters is (2x3) 6, blue is 9, and yellow is (5x3) 15.

Now, to find the total amount, we can add 6, 9, and 15 together to get 30.

Hope this helps. If you require further explanation, let me know!

- profparis

if the circumference of a circle is 6.28 what is the circles radius

Answers

Answer: 1

Step-by-step explanation: Circumference is 2 x 3.14 × radius

6.28 = 6.28 × radius

Radius is 1

IKEA has 6428 glass tables. 5472 People bought glass tables. How many Glass tables left? ikea needs a raise man®™™™‰£


ok awnser

Answers

Answer:

956 glass tables would be left.

Step-by-step explanation:

Well, if each person bought a single table and since it would be impossible for all of them to by more than 1 or to buy an amount between 2 and 1, we can find the answer by subtracting 5472 from 6428.

6428 - 5472 is equal to 956.

please help youll get brainliest

Answers

Answer:

B) f(x) = 2/5㏒(x) + 2

Step-by-step explanation:

Given graph

f(x) = ㏒₂ x

Changes

Transformed up by 2 unitsvertically compressed by factor of 0.4

Solving

Shifted up by 2 units

f(x) = ㏒₂ (x) + 2

Vertically compressed by factor of 0.4

f(x) = 2/5㏒(x) + 2

144=(n+1)^2 this equation should have 2 answers

Answers

Answer:

(12)^2=(n+1)^2

12=n+1

12-1=n

n=11

Step-by-step explanation:

another one

(12)^2-(n+1)^2=0

(12-n-1)(12+n+1)=0

either:-

n=11 or n=-13

[tex]~~~(n+1)^2 =144\\\\\implies n+1= \pm\sqrt{144}\\\\\implies n+1 = \pm12\\\\\implies n = \pm12 -1\\\\\text{Hence,}~ n = 11 ~\text{and}~ n = -13[/tex]

A microwave raises the temperature of water by about 90 F in 5 minutes . Which graph has the slope that represents this rate of increase

Answers

Answer:

B.

Step-by-step explanation:

Look at all graphs and find 90 deg on the left side. Follow it to the right until you intersect the graph. then go straight down. You must intersect the x-axis is 5 minutes. The only graph that does this is B.

Answer: B.

I think the answer is B because here's the explenation.

write 701.3% as a whole number or mixed number in simplest form

Answers

7013/10

Step-by-step explanation:

first, count the decimal to the right

as you can tell, we can only do it once so therefore we get 10

we then multiply 701.3/1 both sides with 10

then we get out answer 7013/10

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