Simplify: square root of 250 <br> PLEASE BRAKE DOWN

musickatia [10]

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..

Z

Z
Z
Z
Z

Z
Z

Z

A

A

Answer is A

6 0

2 years ago

There are two games involving flipping a coin. In the first game you win a prize if you can throw between 45% and 55% heads. In

Nina [5.8K]

Answer:

d) 300 times for the first game and 30 times for the second

Step-by-step explanation:

We start by noting that the coin is fair and the flip of a coin has a probability of 0.5 of getting heads.

As the coin is flipped more than one time and calculated the proportion, we have to use the <em>sampling distribution of the sampling proportions</em>.

The mean and standard deviation of this sampling distribution is:

$\mu_p=p\\\\ \sigma_p=\sqrt{\dfrac{p(1-p)}{N}}$

We will perform an analyisis for the first game, where we win the game if the proportion is between 45% and 55%.

The probability of getting a proportion within this interval can be calculated as:

$P(0.45$

referring the z values to the z-score of the standard normal distirbution.

We can calculate this values of z as:

$z_H=\dfrac{p_H-\mu_p}{\sigma_p}=\dfrac{(p_H-p)}{\sqrt{\dfrac{p(1-p)}{N}}}=\sqrt{\dfrac{N}{p(1-p)}}*(p_H-p)>0\\\\\\z_L=\dfrac{p_L-\mu_p}{\sigma_p}=\dfrac{p_L-p}{\sqrt{\dfrac{p(1-p)}{N}}}=\sqrt{\dfrac{N}{p(1-p)}}*(p_L-p)$

If we take into account the z values, we notice that the interval increases with the number of trials, and so does the probability of getting a value within this interval.

With this information, our chances of winning increase with the number of trials. We prefer for this game the option of 300 games.

For the second game, we win if we get a proportion over 80%.

The probability of winning is:

$P(p>0.8)=P(z>z^*)$

The z value is calculated as before:

$z^*=\dfrac{p^*-\mu_p}{\sigma_p}=\dfrac{p^*-p}{\sqrt{\dfrac{p(1-p)}{N}}}=\sqrt{\dfrac{N}{p(1-p)}}*(p^*-p)>0$

As (p*-p)=0.8-0.5=0.3>0, the value z* increase with the number of trials (N).

If our chances of winnings depend on P(z>z*), they become lower as z* increases.

Then, we can conclude that our chances of winning decrease with the increase of the number of trials.

We prefer the option of 30 trials for this game.

8 0

2 years ago

Assignment: Using Prime Factorization Investigation

damaskus [11]

Answer:

3(2 +7)
9(3 +5)
16(2 +3)
15(2 +5)
8(11 +3)

Step-by-step explanation:

6 + 21 = 2·3 + 3·7 = 3(2 +7)
27 + 45 = 3^3 + 3^2·5 = 9(3 +5)
32 + 48 = 2^5 + 2^4·3 = 16(2 +3)
30 + 75 = 2·3·5 + 3·5^2 = 15(2 +5)
88 + 24 = 2^3·11 +2^3·3 = 8(11 +3)

In each case, the factor outside parentheses is the greatest common factor, the product of the prime factors common to both numbers. When the same factor has different powers, the least power is the common factor.

3 0

3 years ago

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!

blagie [28]

Answer:

so

what

you

have

to

do

is

stop

trying

to

get

help

you

punk

and

try

to

study

for

once

thank

you

3 0

3 years ago

Use the distributive property to write an expression that is equivalent to 7(3x-4)

MariettaO [177]

Answer:

21x-28

Step-by-step explanation:

When 7 is distributed across this equation, you get 21x and 28

5 0

3 years ago

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Simplify: square root of 250 PLEASE BRAKE DOWN