Figure ABCD is a trapezoid.

Montano1993 [528]

For step b. would be 44 divided by 19 = b for step c you can answwer seeing i gave you the equation and along with question a do things you know first then you might have the answers for the rest i hope this helps

5 0

3 years ago

Read 2 more answers

The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation

Wewaii [24]

Answer:

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

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 $s = \frac{\sigma}{\sqrt{n}}$ .

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

The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation 2.

This means that $\mu = 14, \sigma = 2$

Sample of 100:

This means that $n = 100, s = \frac{2}{\sqrt{100}} = 0.2$

What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2?

This is 1 subtracted by the p-value of Z when X = 14.2. So

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

By the Central Limit Theorem

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

$Z = \frac{14.2 - 14}{0.2}$

$Z = 1$

$Z = 1$ has a p-value of 0.8413.

1 - 0.8413 = 0.1587

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

6 0

3 years ago

Select the correct answer from each drop-down menu. In the figure, line segment AB is parallel to line segment CD. The measure o

victus00 [196]

<h3>Answer:</h3>

∠C = 40°

∠D = 75°

<h3>Step-by-step explanation:</h3>

AB ║ CD, so AD and BC are transversals. The angle pairs (A, D) and (B, C) are "alternate interior angles", hence congruent.

∠C = ∠B = 40°

∠D = ∠A = 75°

3 0

4 years ago

The function f(x) changes value when x changes from x0 to x0 + dx. Find the approximation error . Round your answer, if appropri

allochka39001 [22]

The answer to this question is a simple one.
First, you need this formula :
<span>(<span>x0 </span>+ dx<span>)^2
You need to substitute the values of the formula
Then,.
</span></span><span>(dx)^2 = (0.06)^2

So the answer to this question is .0036

I hope my answer helped you in somehow. </span>

3 0

3 years ago

The large rectangle below represents one whole.

goblinko [34]

Answer:

See below

Step-by-step explanation:

If the whole rectangle were shaded (all 25 parts) that would be 100%

So, we can set up a proportion.

25 = 100%

11 = x

Then, cross-multiply to get,

25x = 1100

Divide both sides by 25 to solve for x

x = 44.

The x value represents the percentage shaded.

44%

7 0

2 years ago