2. Use the figures below for parts a through c.

45. Error Analysis Suppose your friend wrote 7(2m + t) = 14m + t.

Answer:Some numerical statements are exact: Mary has 3 brothers, and 2 + 2 = 4. However, all measurements have some degree of uncertainty that may come from a variety of sources. The process of evaluating the uncertainty associated with a measurement result is often called uncertainty analysis or error analysis.

The complete statement of a measured value should include an estimate of the level of confidence associated with the value. Properly reporting an experimental result along with its uncertainty allows other people to make judgments about the quality of the experiment, and it facilitates meaningful comparisons with other similar values or a theoretical prediction. Without an uncertainty estimate, it is impossible to answer the basic scientific question: "Does my result agree with a theoretical prediction or results from other experiments?" This question is fundamental for deciding if a scientific hypothesis is confirmed or refuted.

When we make a measurement, we generally assume that some exact or true value exists based on how we define what is being measured. While we may never know this true value exactly, we attempt to find this ideal quantity to the best of our ability with the time and resources available. As we make measurements by different methods, or even when making multiple measurements using the same method, we may obtain slightly different results. So how do we report our findings for our best estimate of this elusive true value? The most common way to show the range of values that we believe includes the true value is:

measurement = (best estimate ± uncertainty) units

Step-by-step explanation:

5 0

3 years ago

Evaluate − 5 x 2 − y 3 when x = − 4 and y = − 5

dimulka [17.4K]

Answer:

45

Step-by-step explanation:

-5x^2 - y^3 when x = -4 and x = -5

~Substitute

-5(-4)^2 - (-5)^3

~Simplify

-5(16) - (-125)

-80 + 125

45

Best of Luck!

6 0

3 years ago

Read 2 more answers

Does this graph represents a function? Why or why not?

love history [14]

Answer:

B. Yes, because it passes the vertical line test.

Step-by-step explanation:

B. Yes, because it passes the vertical line test.

A vertical line going from left to right will intersect at most one point on the graph at a time. That makes it a function.

3 0

3 years ago

Susan has been on a bowling team for 14 years. After examining all of her scores over that period of time, she finds that they f

ikadub [295]

Answer:

The probability that in a one-game playoff, her score is more than 227 is 0.4404.

Step-by-step explanation:

We are given that Susan has been on a bowling team for 14 years. After examining all of her scores over that period of time, she finds that they follow a normal distribution. Her average score is 225, with a standard deviation of 13.

<em>Let, X = scores over that period of time</em>

X ~ N( $\mu = 225, \sigma = 13^{2}$ )

The z score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = average score

$\sigma$ = standard deviation

So, probability that in a one-game playoff, her score is more than 227 is given by = P(X > 227)

P(X > 227) = P( $\frac{X-\mu}{\sigma}$ < $\frac{227-225}{13}$ ) = P(Z > 0.15) = 1 - P(Z $\leq$ 0.15)

= 1 - 0.55962 = 0.4404

Therefore, probability that in a one-game playoff, her score is more than 227 is 0.4404.

5 0

3 years ago

HELP FASTTTT

UkoKoshka [18]

The line plot illustrates the capacity of the kitchen sink in gallons, and it has a sample size is 21. The distribution is positively skewed, with an appropriate measure of center is 16 and an appropriate measure of spread is 2.5

<h3>The description of the data</h3>

The dataset on the line plot represents the capacity of the kitchen sink.

The capacities are measured in gallons

<h3>The number of data values</h3>

This is the number of dots on the line plot.

There are 21 dots on the plot

Hence, the number of data values is 21

<h3>The shape of the distribution</h3>

The shape of the given distribution is positively skewed.

This is so because there are more points on the left of the distribution

<h3>Appropriate measure of center</h3>

The median is the appropriate measure of center for a skewed distribution.

So, we simply calculate the median.

The median position is calculated using

Median = 0.5 * (n + 1) th

So, we have:

Median = 0.5 * (21 + 1) th

Median = 11th

The 11th data element is 16

Hence, the value of an appropriate measure of center is 16

<h3>Appropriate measure of spread</h3>

The IQR is the appropriate measure of spread for a skewed distribution.

The IQR is:

IQR = Q3 – Q1

Where:

Q3 = 0.75(n + 1)th and Q1 = 0.25(n + 1)th

This gives

Q3 = 0.75 * (21 + 1)th = 16.5

Q1 = 0.25(21 + 1)th = 5.5

The 16.5th element is 17.5, while the 5.5th element is 15

Recall that:

IQR = Q3 – Q1

So, we have:

IQR = 17.5 - 15

Evaluate

IQR = 2.5

Hence, the value of an appropriate measure of spread is 2.5