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3 years ago

Consider a 25 factorial design. (a) How many factors and levels are considered in this factorial experiment

Mathematics

1 answer:

Bad White [126]3 years ago

8 0

Answer:

Step-by-step explanation:

From the information given;

We are to take a look at a 2⁵ factorial design.

The factorial design consists of carrying out the design of equipment by testing it by modifying not the parameters one by one but by modifying several simultaneous parameters.

An experiment is termed to be a 2⁵ factorial experiment if in the experiment 5 factors are studied consecutively with each at two-level.

Thus, there are five factors and 2 levels in the experiment.

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An equation was used to predict the number of possible enrollments in an afterschool program for the first 6 months of the year.

AysviL [449]

55 + 80 + 95 + 100 +115 +90 =535 actual enrollments. 75 + 80 +85 +90 +95 + 100 = 525 predicted enrollments. 535 - 525 = 10 residuals.

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3 years ago

If a system of equations has infinite solutions, what do you know about the graph?

Anton [14]

Answer:

Step-by-step explanation:

A: Perpendicular lines have 1 solution. A is not the answer.

B: If the lines intersect, there is one solution, not many.

C: The lines are the same or can be reduced to being the same. C is the answer.

D: The lines don't intersect means that the lines are parallel. There isn't a solution.

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3 years ago

Can someone do 15?!?!?

andrew-mc [135]

<u>Given</u>:

The given triangle is a right triangle.

The length of the hypotenuse is 31 units.

The length of the leg is 23 units.

One of the angle is x.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the trigonometric ratio.

Thus, we have;

$sin \ \theta=\frac{opp}{hyp}$

Substituting $\theta=x$ , the side opposite to the angle x measures 23 units and the hypotenuse is 31.

Thus, we have;

$sin \ x=\frac{23}{31}$

Dividing, we get;

$sin \ x=0.74$

Taking $sin ^{-1}$ on both sides of the equation, we get;

$x=sin^{-1}(0.74)$

$x=47.7$

Rounding off to the nearest whole integer, we get;

$x=48$

Thus, the value of x is 48°

Hence, Option c is the correct answer.

5 0

3 years ago

Paula's Flowers sells 39 arrangements per week. The flower shop down the street sells

Eddi Din [679]

Answer:

50:39

Step-by-step explanation:

The first number in the context always goes first!

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3 years ago

Assume that blood pressure readings are normally distributed with a mean of 115 and a standard deviation of 8. If 100 people are

Sergeu [11.5K]

Answer:

D. 0.9938.

Step-by-step explanation:

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

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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 $s = \frac{\sigma}{\sqrt{n}}$ .