All of the following represent three multiplied by six except: 3x6 3.6 316) 3:6

Find the value of x in the triangle shown below.

a_sh-v [17]

Answer:da answer is 11

3 0

3 years ago

Hi guys can you guys answer this pls and explain plss

9966 [12]

Answer:

see explanation

Step-by-step explanation:

To express a fraction in simplest form

Divide numerator and denominator by largest common factor of both

$\frac{6}{12}$ ← divide by 6

= $\frac{1}{2}$ ← in simplest form

$\frac{12}{15}$ ← divide by 3

= $\frac{4}{5}$ ← in simplest form

7 0

3 years ago

which of the following is an example of stratified sampling? in order to assess students' satisfaction with the food establishme

Serhud [2]

The example of stratified sampling is a health educator wanted to study the sleeping habits of the undergraduate students in her study.

For her study, the researcher chose a simple random sample of size 150 from each of the classes (150 freshmen, 150 sophomores, 150 juniors, and 150 seniors) for a total of 600 sampled students. a poll asked a random sample of 1,112 adults whether they believe that the use of marijuana for medical reasons should be legalized.

Sampling:

In statistics, quality assurance, and research methodologies, sampling is the selection of a subset of individuals (statistical sample) from a statistical population in order to estimate characteristics of the population as a whole. A statistician tries to collect a representative sample of the population in question. Sampling is less costly than measuring the entire population, provides faster data collection, and can provide insight when the entire population cannot be measured.

Stratified Sampling:

When the population embraces a number of distinct categories, the frame can be organized by these categories into separate "strata." Each stratum is then sampled as an independent sub-population, out of which individual elements can be randomly selected. The ratio of the size of this random selection (or sample) to the size of the population is called a sampling fraction. There are several potential benefits to stratified sampling.

There are, however, some potential drawbacks to using stratified sampling.

First, identifying strata and implementing such an approach can increase the cost and complexity of sample selection, as well as leading to increased complexity of population estimates.

Second, when examining multiple criteria, stratifying variables may be related to some, but not to others, further complicating the design, and potentially reducing the utility of the strata.

Finally, in some cases (such as designs with a large number of strata, or those with a specified minimum sample size per group), stratified sampling can potentially require a larger sample than would other methods (although in most cases, the required sample size would be no larger than would be required for simple random sampling).

Learn more about Stratified Sampling:

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4 0

1 year ago

My couch potato friend enjoys sitting in front of the TV and grabbing handfuls of 6 chocolates at random from his snack jar. Unb

Nikolay [14]

Answer:

There are 8008 possible outcomes are there the first time he grabs 6 chocolates

Step-by-step explanation:

The order in which the chocolates are chosen is not important. So the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

How many possible outcomes are there the first time he grabs 6 chocolates?

6 chocolates from a set of 16. So

$C_{16,6} = \frac{16!}{6!(16 - 6)!} = 8008$

There are 8008 possible outcomes are there the first time he grabs 6 chocolates

7 0

3 years ago

A company makes windows for use in homes and commercial buildings. The standards for glass thickness call for the glass to avera

guajiro [1.7K]

The question is incomplete. The complete question follows.

A company makes windows for use in homes and commercial builidings. The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch. Suppose a random sample of n=44 windows yield a sample mean of 0.337 inch. Complete parts a and b.

a. What is the probability of x ≥ 0.337 if the windows meet the standards?

b. Based on your answer to part a, what would you conclude about the population of windows? Is it meeting the standards? (A result is unusual if it has a probability less than 0.05)

Answer and Step-by-step explanation: To answer this question, use Central Limit Theorem: it states regardless of the original population distribution, if the sample size is large enough, the sample mean distribution will approach a normal distribution.

The calculations for the CLT is given by normalizing the distribution, i.e.:

$z=\frac{x-\mu}{\sigma/\sqrt{n} }$

where

z is z-score

x is the sample mean

μ is population mean

σ is standard deviation of the population

n is the number of individuals in the sample

Calculating z-score for the window maker company:

$z=\frac{0.337-0.325}{0.065/\sqrt{44} }$

$z=\frac{0.012}{0.0098}$

z = 1.22

Using the z-score table, we found the probability:

P = 0.8888

As it is a "more than situation":

P(x≥0.337) = 1 - 0.8888

P(x≥0.337) = 0.1112 or 11.12%

a. Probability of x≥0.337 if the windows meet the standards is 11.12%.

b. Comparing results, probability of x≥0.337 is bigger than 0.05:

0.1112 > 0.05

So, we can conclude that the random sample of n=44 is meeting the standards estipulated.

7 0

3 years ago