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3 years ago

When your graphing inequality how do you know which side to shade in

2 answers:

8 0

When graphing an inequality, it is often hard to see what side is shaded, to signal which solutions work. Try out (0, 0) into the equation and if it works, it is a solution, so shade the side that has the origin in it.

Monica [59]3 years ago

5 0

You figure out by picking a coordinate on either side of the line, and see if it satisfies the inequality. If it doesn't, the other side of the line will be shaded. If it does, shade that side.

You might be interested in

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees. If we want to be 90% c

siniylev [52]

Answer:

19 beers must be sampled.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.

This means that $\sigma = 0.26$

If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?

This is n for which M = 0.1. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.1 = 1.645\frac{0.26}{\sqrt{n}}$

$0.1\sqrt{n} = 1.645*0.26$

$\sqrt{n} = \frac{1.645*0.26}{0.1}$

$(\sqrt{n})^2 = (\frac{1.645*0.26}{0.1})^2$

$n = 18.3$

Rounding up:

19 beers must be sampled.

7 0

3 years ago

Need help ASAP! Looking for someone to show work, it’s completely fine if you don’t tho!

andreyandreev [35.5K]

D since (-5 x -5) = 25 and (7 x -8) = -56. Add 25 and -56 and your answer is D. -31

5 0

3 years ago

The perimeter of a rectangle is 84 inches. The width of the rectangle is 12 inches. What is the length of the rectangle?

german

The length of the rectangle is 30

5 0

2 years ago

A hot air balloon rising vertically is tracked by an observer located 5 miles from the lift-off point. At a certain moment, the

Zigmanuir [339]

Answer:

Step-by-step explanation:

aThe person and the hot air balloon form a right triangle, with the lift-off point as the vertex that form the right angle. If you were to try to solve for the height of the balloon, you would need to use tangent to do so:

tanθ = opp/adj = y/x

y = xtanθ

What this problem ultimately wants to know, is how the distance of the balloon is changing with respect to time: dy/dt. So we need to take the derivative of the above equation (you need to product rule to do so):

dy/dt = (dx/dt)tanθ + xsec2θ(dθ/dt)

We need to find out values for all of the variables:

The observer is not moving, therefore dx/dt = 0.

The observer is standing 4 miles away from the lift-off point, so x = 4.

The angle between the horizontal and the observer's line of sight is π/3, therefore θ = π/3.

The rate of change for the angle, dθ/dt, is 0.1.

Just plug all the numbers in:

dy/dt = (0)tan(π/3) + (4)sec2(π/3)(0.1)

dy/dt = 0 + 1.6

dy/dt = 1.6 mi/min

5 0

2 years ago

A. 3 B. 3.1 C. 3.8 D. 11.6

pishuonlain [190]

Mean = (2+4+6+5+2)/5 = 19/5 = 3.8

answer

C. 3.8

4 0

3 years ago