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3 years ago

The slope of any line perpendicular to , where A(0, -3) and B(4, 9) are two points on the line, is m =

Mathematics

1 answer:

enyata [817]3 years ago

4 0

Answer:

m = -1/3

Step-by-step explanation:

The slope of the line can be calculated using the slope formula.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{9--3}{4-0} = \frac{12}{4} = 3$

Since this is the line with points AB, the slope of any line perpendicular to it will be -1/3. All perpendicular lines cross at a 90 degree angle and as such their slopes are the negative reciprocals of each other. This means 3 becomes -1/3.

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Is fast please help me is a exam

qaws [65]

Answer:

100 minutes

Step-by-step explanation:

1 hour = 60 minutes.

(2 / 3) * (1 hour) =

40 minutes

So the movie was 1 hour 40 minutes

REMEMBER:

1hr = 60 mins

60 mins + 40 mins = 100 mins

Hence, the answer is 100 mins

5 0

2 years ago

find the area and perimeter using the lengthy and with step by step I will give 40 points please answer right number 6,7,9,10,11

N76 [4]

Answer:

6. 16 meters^2, 16 meters

7. 100 milimieters^2, 40 milimeters

9. 56 centimeters^2, 30 centimeters

10. 49 inches^2, 28 inches

11. 9 meters^2, 12 meters

12. 72 yards^2, 36 yards

Step-by-step explanation:

s is for a square

A=s^2

P=4s

l+w is for a rectangle

A=lw

P=2l+2w

6. A=4^2

A= 16 meters^2

P=4*4

P= 16 meters

7. A=10^2

A=100 milimieters^2

P=4*10

P= 40 milimeters

9. A=8*7

A= 56 centimeters^2

P=2(8)+2(7)

P=30 centimeters

10. A=7^2

A=49 inches^2

P=4*7

P=28 inches

11. A= 3^2

A=9 meters^2

P=4*3

P= 12 meters

12.

A=12*6

A=72 yards^2

P= 2(12)+2(6)

P= 36 yards

Let me know if you have any questions. Also, don't forget units!

4 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

Jane has 5 nickels. john has 3 dimes. jane says she has a greater amount of money. with the information given, is she correct?

joja [24]

No Jane is not correct she has 25 cents where john has 30 cents

7 0

3 years ago

T is the midpoint of RS, T has coordinates (6, 4), and S has coordinates (3,-2). What are the

Fynjy0 [20]

Answer:

help

Step-by-step explanation:

3 0

3 years ago