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3 years ago

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Traci plans to conduct a coin-flipping experiment to see if the probability of landing on "heads" or "tails" is close to the the

oretical probability of 1 2 . Which experiment is likely to yield a result FARTHEST from the theoretical probability?

1 answer:

Sedaia [141]3 years ago

8 0

The experiment with the least number of trials.

Experimental probability is more accurate and more close to theoretical probability by having the most trials. More trials = more accuracy. Less trials = less accuracy.

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You can think about the word ‘of’ when you multiply.

Vlada [557]

Answer:

$23 \: of \: 6 \\ 23 \times 6 \\ = > \frac{ \binom{23}{ \times 6} }{138} \\ 23 \: of \: 6 = 138$

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Find the area of the region shaded in green. Use 3.14 to approximate pi.

8090 [49]

Answer:

254 cm² (to 3 s.f.)

Step-by-step explanation:

Area of shaded region

= area of large circle -area of smaller circle

$\boxed{area \: of \: circle = \pi {r}^{2} }$

Radius of large circle= 15cm

Radius of smaller circle= 12cm

Area of shaded region

= π(15²) -π(12²)

= 225π -144π

= 81π

= 81(3.14)

= 254.34

= 254 cm² (3 s.f.)

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3 years ago

You are saving money to buy a new video game. You already have $12, and each week you save another $5. Which expression can you

Phantasy [73]

Answer:yes 12 +5

Step-by-step explanation:Idrk

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2 years ago

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Match solutions and differential equations. Note: Each equation may have more than one solution. Select all that apply. (a) 7y''

Nonamiya [84]

Answer:

a- $e^x,e^{-x}$

b- $x^{-2}$

c- $x^3$

Step-by-step explanation:

a.7 y''-7 y =0

Auxillary equation

$D^2-1=0$

$(D-1)(D+1)=0$

D=1,-1

Then , the solution of given differential equation

$y=e^x,y=e^{-x}$

2. $7x^2y''+14xy'-14 y=0$

Y= $y=x^3$

$y=3x^2$

$y''=6x$

Substitute in the given differential equation

$42x^3+42x^3-14x^3\neq 0$

Hence, $x^3$ is not a solution of given differential equation

$e^x,e^{-x}$ are also not a solution of given differential equation.

y= $x^{-2}$

$y'=-2x^{-3}$

$y''=6x^{-4}$

Substitute the values in the differential equation

$7x^2(6x^{-4})+14x(-2x^{-3})-14 x^{-2}$

= $42x^{-2}-28x^{-2}-14x^{-2}=0$

Hence, $x^{-2}$ is a solution of given differential equation.

c. $7x^2y''-42y=0$

$y=x^3$

$y'=3x^2$

$y''=6x$

Substitute the values in the differential equation

$42x^3-42x^3=0$

Hence, $x^3$ is a solution of given differential equation.

a- $e^x,e^{-x}$

b- $x^{-2}$

c- $x^3$

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3 years ago

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Xenia has 100,000,000 people. Of this population, 25,000,000 residents are below age 16, and 10.000,000 have given up looking fo

Goryan [66]

Answer: 45000

Step-by-step explanation:

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