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2 years ago

HELP ASAP Sofia plots points on the coordinate plane below to show amounts of time it takes her to bike certain distances.

Mathematics

2 answers:

Contact [7]2 years ago

5 0

I say b bc of the two down and one over

Vladimir [108]2 years ago

3 0

Answer:

Step-by-step explanation:

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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 sampling distribution of the sampling proportions.

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

3 years ago

What is the least common multiple of 420 and 196?

maks197457 [2]

2940. To find LCM, listing the multiples may help. Then you will easily be able to view them and circle when you find a common one. :)

4 0

3 years ago

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A family has two cars. the first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of

marusya05 [52]

Car 1 consumes 30 gallons of gas.Car 2 consumes 20 gallons of gas.

7 0

3 years ago

find all the solutions of sec theta - 2 =0. It says use "or" as necessary and gives an example of kpi.

swat32

Sec t (theta) - 2 = 0
sec t = 2
1/ cos t = 2
cos t = 1/2
Answer:
t = π / 3 + 2 k π , or : t = 5 π / 3 + 2 kπ,
k ∈ Z

5 0

3 years ago

A: -27 B: -32 C: -45 D: -101 <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D" id="TexFormula1" title="\frac{

kolezko [41]

$- 25 \: + 13 \: = - 12 \\ - 12 \times 8 = - 96 \\ - 96 \div 3 = - 32 \\ - 32 = p$

p = B

3 0

3 years ago

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