Lisa tossed two fair coins at the same time. She repeated this trial 180 times. How many trials should Lisa expect to result in both coins showing tails?

Answer:

a) [tex]P(B/A) = P(B)[/tex]

Step-by-step explanation:

Step(i):-

Given that A and B are independent events

P(A∩B) =P(A) P(B)

we will use the conditional probability

              [tex]P(A/B) = \frac{P(AnB)}{P(B)}[/tex]

                     or

            [tex]P(B/A) = \frac{P(AnB)}{P(A)}[/tex]

Step(ii):-

Given that A and B are independent events

P(A∩B) =P(A) P(B)

 [tex]P(B/A) = \frac{P(AnB)}{P(A)}[/tex]

[tex]P(B/A) = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]

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

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

3⁶/3⁸

= 3 × 3 × 3 × 3 × 3 × 3/ 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3

= 1/ 3 × 3

= 1/9 (option C)

= 1/3²

= (1/3)² (option D)

= 3-² (option B)

Answer:

4950kg

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step 1. (The capture) Capture a sample  total counted =958, and them back tagged counted=38,total tagged=56

The idea is to estimate the proportion p = m/N of tagged =102.

Step 2. (The recapture) After everything has settled down, capture a new sample of n fish. Count the number of tagged fish. Suppose that k of them are tagged.

It is reasonable that, k/n would be a good estimante for p = m/N.

Accordingly, for an estimate N of N, se solve the equation m/N= k/n.

Answer:

shape 1- 89.4 inches

shape 2- 29cm

Step-by-step explanation:

the perimeter is the sum of all numbers around the rim of the shape.

Answer:

a = 5(10²)/2

a = 5(100)/2

a = 250

Answer: he drove 18.25 miles per gallon

Step-by-step explanation:

365/20=x/1

20x=365

x=18.25

Answer:

(0.1753 ; 0.2447)

Step-by-step explanation:

Using the relation :

Confidence interval :

p ± margin of error

p = 0.21

1 - p = 0.79

n = 530

Zcritical at 95% confidence level = 1.96

Margin of Error : Zcritical * sqrt[(p(1-p))/n]

1.96 * sqrt[(0.21(0.79))/530]

1.96 * 0.0176923 = 0.0346769

Margin of Error = 0.0346769

Lower boundary = 0.21 - 0.0347 = 0.1753

Upper boundary = 0.21 + 0.0347 = 0.2447

Confidence interval :

(0.1753 ; 0.2447)

Answer:

volume = 4710 ft³

Step-by-step explanation:

base area = πr² = (3.14)(10²) = 314 ft²

volume = base area x height = 314 x 15 = 4710 ft³

Answer:

45

Step-by-step explanation:

2.5 x 12= 30

1/2 (6) (3)= 9

1/2( 2) (6)=6

30 +9 +6 = 45

Answer:

She has  18 combinations to choose from

Step-by-step explanation:

The tree diagram is as follows

yellow (y) ⇒⇒⇒⇒⇒ a pair of jeans (j)

 ║                           ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                           ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║          

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒   pair of shorts (s)    

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║

 ║  

white (w) ⇒⇒⇒⇒⇒ a pair of jeans (j)

 ║                           ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                           ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║          

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒   pair of shorts (s)    

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║

 ║  

green (g)⇒⇒⇒⇒⇒ a pair of jeans (j)

 ║                           ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                           ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒a pair of black pants (b)

 ║                                       ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

 ║                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

 ║          

 ║⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒   pair of shorts (s)    

                                      ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)

                                       ║⇒⇒⇒⇒⇒⇒a pair of dress shoes (d)

Sara has 3 shirts 3 (pants+ shorts) and 2 shoes to choose from

She has 3*3*2= 18 combinations to choose from

Answer:

The answer is C

Step-by-step explanation:

Hope it helps:)))

Can i have brainy plzzz

Answer:

63x^2-34x+3

Step-by-step explanation:

Answer:

hello! Your answer would be, 1: B) AND 2: D)

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

(2p^3 · 2p)^2  We are gonna be simplifying

(4p^4)^2

Step 2

(4p^4)(4p^4)

16p^8

So therefore your answer would be 16p^8

Hope this helps

Answer:

Step-by-step explanation:

Answer:

y = -1

Step-by-step explanation:

The standard form of equation of a line is y = mx+b

m is the slope

b is the y intercept

Get the coordinate of the point of interception of the line 2x - y = 9 and 3x - 7y = 19

Make y the subject of the formula in both expressions

For 2x  - y = 9

- y = 9- 2x

y = 2x - 9

Similarly for 3x - 7y = 19

-7y = 19 - 3x

7y = 3x - 19

y = 3/7 x - 19/7

Equating both expressions

2x - 9 = 3/7 x - 19/7

Multiply through ny 7

14x - 63 = 3x - 19

14x - 3x = -19 + 63

11x = 44

x = 44/11

x = 4

Since y =2x - 9

y = 2(4) - 9

y = 8-9

y = -1

Hence the coordinate of intersection is at (4, -1)

Get the equation of the line passing through (-3, -1) and (4, -1)

Slope m = -1+1/4+3

m = 0/7

m = 0

Get the intercept

Substitute m = 0 and (-3, -1) into y = mx+b

-1 = 0(-3) + b

-1 = b

b = -1

Get the required equation

Recall that y = mx + b

y = 0x + (-1)

y = -1

Hence the required equation is y = -1

Answer:

x=−2

y=−4

Step-by-step explanation:

−2x+2y=−4

3x+3y=−18

In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

−2x+2y=−4,3x+3y=−18

To make −2x and 3x equal, multiply all terms on each side of the first equation by 3 and all terms on each side of the second by −2.

3(−2)x+3×2y=3(−4),−2×3x−2×3y=−2(−18)

Simplify.

−6x+6y=−12,−6x−6y=36

Subtract −6x−6y=36 from −6x+6y=−12 by subtracting like terms on each side of the equal sign.

−6x+6x+6y+6y=−12−36

Add −6x to 6x. Terms −6x and 6x cancel out, leaving an equation with only one variable that can be solved.

6y+6y=−12−36

Add 6y to 6y.

12y=−12−36

Add −12 to −36.

12y=−48

Divide both sides by 12.

y=−4

Substitute −4 for y in 3x+3y=−18. Because the resulting equation contains only one variable, you can solve for x directly.

3x+3(−4)=−18

Multiply 3 times −4.

3x−12=−18

Add 12 to both sides of the equation.

3x=−6

Divide both sides by 3.

x=−2

The system is now solved.

x=−2,y=−4

Answer:

each wood is 3/4 and there is 7wood so it's 7*3/4

Step-by-step explanation:

7×3/4

=21/4

Answer:

area = 277 units²

Step-by-step explanation:

area = (25 x 5) + (8 x 13) + (8 x 6) = 277 units²

Answer:

the third choice is the answer.

Step-by-step explanation:

the chance of recieve a blue pen

= 0.008

the chance of recieve a blue tote bag

= 0.04

0.008 < 0.04

Answer: The length of one wall is 16ft

Step-by-step explanation: √256=16ft

Answer:

64ft

Step-by-step explanation:

256 divided by 4 since it is a square they are all even corners.

Answer:

n ≥ 50

Step-by-step explanation:

Total pages = 370

Read pages = 20

Number of days remaining = 7

Reading rate per day = n

7n + 20 ≥ 370

7n ≥ 370 - 20

7n ≥ 350

n ≥ 350/7

n ≥ 50 pages per day for the remaining 7 days

Answer:

153

Step-by-step explanation:

68+85+x =180

68+85=153

180-153=27

180-27=153