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3 years ago

A room measures 12 feet by 15 feet. How many square feet of vinyl floor covering will it take to cover the floor

Mathematics

2 answers:

Elis [28]3 years ago

6 0

the question is asking for the Area of the floor

A = 12 * 15

A = 180 feet²

Finger [1]3 years ago

4 0

it would take 180 square feet (to find area do width by length)

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Brain boggling boggle help pls<br>:)<br>

MArishka [77]

Just write some random reason for your random answer and that should do it

8 0

2 years ago

Find the values of x, y, and z in the triangle to the right. A triangle has angles labeled as follows: lower left, x degrees; t

Studentka2010 [4]

Given:

Consider the below figure attached with this question.

Angles of a triangle are x, y and z.

To find:

The values of x, y and z.

Solution:

If two angles are linear pair, then their sum is 180 degrees.

$y+(3x+5)=180$

$y=180-3x-5$

$y=175-3x$

Similarly,

$z+(3x-5)=180$

$z=180-3x+5$

$z=185-3x$

According the the angle sum property, the sum of all angles of a triangle is 180 degrees.

$x+y+z=180$

$x+(175-3x)+(185-3x)=180$

$-5x+360=180$

$-5x=180-360$

$-5x=-180$

Divide both sides by -5.

$x=36$

The value of x is 36.

$y=175-3(36)$

$y=175-(108)$

$y=67$

Now,

$z=185-3(36)$

$z=185-108$

$z=77$

Therefore, the values of x, y and z are 36, 67 and 77 respectively.

6 0

4 years ago

A Government company claims that an average light bulb lasts 270 days. A researcher randomly selects 18 bulbs for testing. The s

Fofino [41]

Answer:

31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$