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3 years ago

Find the point on the line and the lines slope y+1=-3/2(x+7)

Mathematics

1 answer:

klemol [59]3 years ago

8 0

Answer:

A point on the line would be (-3, -7) and the slope if -3/2

Step-by-step explanation:

We can find a point on the line by choosing any value for x and putting it in to the equation. Then we can find the y value. For the purpose of this problem, we will use x = -3.

y + 1 = -3/2(x + 7)

y + 1 = -3/2(-3 + 7)

y + 1 = -3/2(4)

y + 1 = -6

y = -7

And we can find the slope simply by looking for the number outside of the parenthesis on the right side of the equal sign (-3/2)

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According to an almanac, 60% of adult smokers started smoking before turning 18 years old. (a) compute the mean and standard

larisa [96]

The given problem describes a binomial distribution with p = 60% = 0.6. Given that there are 400 trials, i.e. n = 400.

a.) The mean is given by:

$\mu=np=400\times0.6=240$

The standard deviation is given by:

$\sigma=\sqrt{npq} \\ \\ =\sqrt{np(1-p)} \\ \\ =\sqrt{400(0.6)(0.4)} \\ \\ =\sqrt{96}=9.80$

b.) The mean means that in an experiment of 400 adult smokers, we expect on the average to get about 240 smokers who started smoking before turning 18 years.

c.) It would be unusual to observe <span>340 smokers who started smoking before turning 18 years old in a random sample of 400 adult smokers because 340 is far greater than the mean of the distribution.
340 is greater than 3 standard deviations from the mean of the distribution.</span>

5 0

2 years ago

Write an equivalent fraction for the whole number 6?

Keith_Richards [23]

6*2 = 12
12/2 = 6

So, the answer could be 12/2

6 0

3 years ago

NEED ASAP plz. I will also mark brainiest! Don't just take points, I will report you.

PilotLPTM [1.2K]

Part A:

You may choose the two lines connecting the origin and points A and B, and choose the portion of the space between them.

The line between the origin and A is

$y = 3x$

We want everything below this line (line included), so the first inequality is

$y \leq 3x$

The line between the origin and B is

$y = \dfrac{1}{3}x$

We want everything above this line (line included), so the second inequality is

$y \geq \dfrac{1}{3}x$

Create a system with these two inequalities and you'll have an area including only points A and B

Part B:

To verify the solutions, we can plug the coordinates of A and B in this system and check that we get something true: the coordinates of point A are (1,3), while the coordinates of point B are (3,1). The system becomes:

$A:\begin{cases}3 \leq 3\cdot 1\\3 \geq \frac{1}{3}\cdot 1\end{cases},\quad B:\begin{cases}1 \leq 3\cdot 3\\1 \geq \frac{1}{3}\cdot 3\end{cases}$

Which means

$A:\begin{cases}3 \leq 3\\3 \geq \frac{1}{3}\end{cases},\quad B:\begin{cases}1 \leq 9\\1 \geq 1\end{cases}$

And these are all true. So, the system is satisfied, which means that the points belong to the shaded area.

Part C

If you draw the line, you'll see that the only points that lay below the line are B and C. In fact, if we plug the coordinates we have

$B:\ 1$

And this are both true. You can check the coordinates of all other points, and see that they won't satisfy the inequality y<3x-6

3 0

2 years ago

Write the expression in complete factored<br> form.<br> 5(a - 5) + a(a -5) =

balu736 [363]

Answer:

a^2 - 25

Step-by-step explanation:

5(a-5) turns into 5a - 25

a(a-5) turns into a^2 - 5a

added together, it's a^2 - 25

8 0

3 years ago

Riya took a train from his hometown to Mumbai . The journey lasted for 3 hrs 35 minutes . The train reached the station at 9:15

zhenek [66]

Answer: 5:40 am

Step-by-step explanation:

The train reached the station at 9:15 am after having travelled for 3 hrs 35 minutes.

The time the train departed from Riya's hometown was the time it arrived in Mumbai station less the time taken to travel:

= 9:15 - 3:35

First deduct the 3 hours:

= 9:15 - 3

= 6 : 15 am

Remove the 35 minutes by first removing the 15 minutes

= 6:15 - 15

= 6:00 am

Then remove the rest of the 35 minutes which is 20 minutes:

= 6:00 - 20 minutes

= 5:40 am

7 0

2 years ago