The distance from Antville to Beetleton is 60 km.

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24x cubic units.

horrorfan [7]

Answer:

The answer to your question is: 6 units

Step-by-step explanation:

Data

height = 3r

Volume = 24 u³

Volume = 1/3 πr²h

Process

24 = 1/3 (3.1416)(h/3)² (h)

72 / 3.1416 = h³/9

22.91 x 9 = h³

206.26 = h³

h =5.9 u ≈ 6 u

7 0

3 years ago

1) x < -14<br> please help i don’t know how to do this

Galina-37 [17]

Answer: See the diagram below.

This diagram shows a closed filled in circle at -14 on the number line. Also, the shaded region is to the left of the closed circle. This visually represents values that are smaller than -14, or equal to -14.

The filled in circle is used to indicate "include this endpoint". In contrast, an open hole indicates "do not include this endpoint" which is only used if the inequality was $x < -14$ instead of $x \le -14$ . The "or equal to" portion is why we include the endpoint.

7 0

3 years ago

Common core answer for sum of 5x23x2

Serga [27]

230 is the answer
can you mark me as brainliest?

3 0

3 years ago

In a recent poll, 370 people were asked if they liked dogs, and 7% said they did. Find the margin of error of this poll, at the

Dennis_Churaev [7]

Answer:

$ME=1.64\sqrt{\frac{0.07(1-0.07)}{370}}=0.0218$

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".

$p$ represent the real population proportion of interest

$\hat p=0.07$ represent the estimated proportion for the sample

n=370 is the sample size required (variable of interest)

$z$ represent the critical value for the margin of error

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 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.10$ and $\alpha/2 =0.05$ . And the critical value would be given by: