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3 years ago

Utilizing the following graph, give the quadrant of point A.

Mathematics

1 answer:

tiny-mole [99]3 years ago

4 0

Answer:

Quadrant 2

Step-by-step explanation:

The top right corner is Quadrant 1, the top left corner is Quadrant 2, the bottom left corner is Quadrant 3, and the bottom right corner is Quadrant 4.

The point A is in the top left corner, meaning that it's in Quadrant 2.

Hope this helps!

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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

On a number line, the coordinates of j, k, l, m, n are −10.5, −4, −1, 1.5, 4 respectively. find the lengths of the two segments.

nordsb [41]

Answer:

JK = 6.5
KM = 5.5
not congruent

Step-by-step explanation:

JK = K-J = (-4) -(-10.5) = 6.5

KM = M -K = 1.5 -(-4) = 5.5

6.5 ≠ 5.5, so the segments are not congruent.

6 0

3 years ago

Which quiz did met have a better score?

MaRussiya [10]

I'm her first quiz she did better, this is going to be hard to explain but pay attention 92% as a decimal is 92/100 keep this in mind, then 27 out of 30 question we try to make 30 go into 100 but we know 30 can't go into 100 without a decimal so what we do is we change the decimal to 90 so for the 27 out of 30 it is now 81/90, now we need to change the denominator in 92/100 to 90 so we subtract 10 from the numerator and denominator to get 82/100 so compare the 2 decimals you got 81/90 and 82/90 and you find that 82/90 is bigger so she did better on the first quiz

7 0

3 years ago

Read 2 more answers

Is three quarters of earths water salt water?

aivan3 [116]

The Earth is a watery place. But just how much water exists on, in, and above our planet? About 71 percent of the Earth's surface is water-covered, and the oceans hold about 96.5 percent of all Earth's water. Water also exists in the air as water vapor, in rivers and lakes, in icecaps and glaciers, in the ground as soil moisture and in aquifers, and even in you and your dog.

6 0

3 years ago

Read 2 more answers

Pablo will take the 11:43 AM train to San Diego. The train is estimated to arrive in San Diego in 3 hours 45 minutes. What is th

11Alexandr11 [23.1K]

Answer:

3. 28pm

Step-by-step explanation:

11 43

+3 45

15 28

15.28-12

=3.28

5 0

3 years ago