1. Covert 4 g to mg.

Which linear inequality is represented by the graph? y > 2/3x – 1/5 y ≥ 3/2x + 1/5 y ≤ 2/3x + 1/5 y < 3/2x – 1/5

xz_007 [3.2K]

What you must do for this case first is to find the equation of the line.
We have then that by substituting the values of x = 0 and x = 3 we obtain:
y = 0.2
y = 2.2
Respectively.
So, the line is:
y = 2 / 3x + 1/5
Then, the points that satisfy the inequality are all those of the shaded region.
Answer:
The inequality is:
y ≤ 2 / 3x + 1/5

3 0

3 years ago

Read 2 more answers

An insurance company is interested in conducting a study to to estimate the population proportion of teenagers who obtain a driv

nlexa [21]

Answer:

n=1041 or higher

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

2) Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.04$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Since we don't have a prior estimation for th proportion of interest, we can use this value as an estimation $\hat p =0.5$ And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{2.58})^2}=1040.06$

And rounded up we have that n=1041 or higher.

8 0

3 years ago

What can you conclude about the distance from zero for both and integer and its opposite

ruslelena [56]

It is the absolute value

4 0

3 years ago

Hamish and hairy work as plumbers. Harry earns a dollar more than 5/4 The amount Hamish orange per hour. The amount Harry earns

Mnenie [13.5K]

Answer:

Harry earns 26 and Hamish earns 20

Step-by-step explanation:

The computation of the amount earned by each one of them is shown below:

Let us assume the hairy be Y

And, the Hamish be M

It is given that Harry earns a dollar i.e more than 5/4

And, it is $2 less than 7/5

So, the equation would be

y = 1.25m + 1 ...........................(i)

And,

y= 1.4m -2 .............................(ii)

Now equal both the equations

1.25m + 1 = 1.4m - 2

3 = 0.15m

So, m = 20

Now put the values of m in any of the above equation to find out the value of Y

Y = 1.25m + 1

= 1.25 (20) + 1

= 26

6 0

3 years ago

A cylinder and a cone have the same radius and height. The volume of the cylinder is 639 ft ^3. what is the volume of the cone?

AURORKA [14]

The volume of the cone is: A. 213 ft³.

<h3>Volume of a Cylinder and a Cone</h3>

Volume of cylinder = πr²h.
Volume of cone = ⅓πr²h.

Given:

radius and height of both the cylinder and the cone are equal.

Volume of Cylinder = 639 ft³

Therefore:

πr²h = ⅓πr²h

This means that volume of cone would be ⅓ of the volume of the cylinder.

Volume of cone = ⅓(639) = 213 ft³

Therefore, the volume of the cone is: A. 213 ft³.

Learn more about volume of cone on:

brainly.com/question/13677400

7 0

2 years ago