All categories

3 years ago

How do you know in what direction to shade on the line?Explain.

Mathematics

1 answer:

aksik [14]3 years ago

4 0

Answer:

Shade the top side of the boundary line if you have the inequality symbols > or ≥. Shade the bottom side of the boundary line if you have the inequality symbols < or ≤.

You might be interested in

A linen shop sells sheets and pillow cases .Linen from easiest company offer a choice in each set of sheets and pillow cassia pl

mariarad [96]

Answer:

polkadot's strips

plain stripes

polkadot's plain

Step-by-step explanation:

8 0

3 years ago

A city's water tower is built using a right circular cone and a right cylinder, as shown.

Gemiola [76]

The answer is B

Volume of the cone: 63617.25
Volume of the cylinder: 891000

Hope this helps ;)

5 0

3 years ago

What is 65 x 264 + 81 - 94

zmey [24]

Answer: 17,147

Step-by-step explanation:

7 0

3 years ago

Only 7th and 8th grade girls can play on

erik [133]

Answer - 8

explanation -

6/3 = 2, meaning each “fourth” is 2. the whole team, (4/4) would be 4x2, which is 8

5 0

3 years ago

Suppose a lawn and garden company wants to determine the current percentage of customers who use fertilizer on their lawns. How

marishachu [46]

Answer:

n=601

Step-by-step explanation:

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

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

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 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

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

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 the proportion we can use 0.5 as estimation. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.96})^2}=600.25$

And rounded up we have that n=601

3 0

3 years ago