All categories

3 years ago

What does the constant 2.2 in L(D) represent?

Mathematics

1 answer:

MAXImum [283]3 years ago

3 0

Answer:

The constant 2.2 in L(D) represent the brightness in lumens per square inch.

Step-by-step explanation:

You might be interested in

A fast food restaurant executive wishes to know how many fast food meals teenagers eat each week. They want to construct a 99% c

Lana71 [14]

Answer:

The minimum sample size required to create the specified confidence interval is 2229.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

What is the minimum sample size required to create the specified confidence interval

This is n when $M = 0.06, \sigma = 1.1$

$0.06 = 2.575*\frac{1.1}{\sqrt{n}}$

$0.06\sqrt{n} = 2.575*1.1$

$\sqrt{n} = \frac{2.575*1.1}{0.06}$

$(\sqrt{n})^{2} = (\frac{2.575*1.1}{0.06})^{2}$

$n = 2228.6$

Rounding up

The minimum sample size required to create the specified confidence interval is 2229.

7 0

3 years ago

Find the surface area of the following triangular prism. surface area=_________ ft²

Scorpion4ik [409]

Answer:

312 ft²

Step-by-step explanation:

3 rectangles

2 triangles

4 yd = 12 ft

A = 4ft×12ft + 8ft×12ft + 10ft×12ft + 2×6ft×8ft/2

= 48ft² + 96ft² + 120ft² + 48ft²

= 312 ft²

3 0

3 years ago

Three students want to estimate the mean word length of the same book. To do this, each student randomly chose 4 words from the

Firlakuza [10]

The solutions to the questions are given below

sample(n) word length sample mean

1 5,4,4,2 3.75

2 3,2,3,6 3.5

3 5,6,3,3 4.25

b)R =0.75

The mean of the sample means will tend to be a better estimate than a single sample mean.
The closer the range of the sample means is to 0, the more confident they can be in their estimate.

<h3>What is the students are going to use the sample means to estimate the mean word length in the book.?</h3>

The table below shows sample means in the table.

sample(n) word length sample mean

1 5,4,4,2 3.75

2 3,2,3,6 3.5

3 5,6,3,3 4.25

Generally, the equation for is mathematically given as

variation in the sample means

R =maximum -minimum

R=4.25-3.5

R =0.75

In conclusion, In most cases, the mean of many samples will provide a more accurate estimate than the mean of a single sample.

They may have a higher level of confidence in their estimate if the range of the sample means is closer to 0 than it is now.