All categories

3 years ago

Find the slope of the given line in the following graph.

Mathematics

1 answer:

andre [41]3 years ago

3 0

Take one point from the cartesian plane.

I am taking:

(5,-5)
x= 5
y= -5

$\large \sf \frac{y}{x}$

$\large \sf \cancel\frac{ - 5}{5}$

$\sf \: m = - 1$

You might be interested in

Five years ago,a father was 3 times as old as his son.Now,their combined ages amount to 110 years.Thus,the present age of the fa

sattari [20]

50 is the answer bcs yeah so yeah

4 0

3 years ago

Debra can run 20.5 miles in 2.5 hours how many miles per hour can she run math problems

pashok25 [27]

She can run 20.5/2.5 equaling 8.2mph

7 0

3 years ago

Please help me with these 2 questions

STatiana [176]

Answer:

#1.) x = 7

Step-by-step explanation:

#1.) Here, AB = BC because they are tangents that meet at a common endpoint

so 5x + 11 = 3x + 25

2x = 14

x = 7

-----------

3 0

3 years ago

The genetically altered spider that turned Peter Parker into Spider Man with a single bite was about 0.035 ounces. If Spider Man

Simora [160]

1036 genetically altered spiders

8 0

3 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

3 years ago