Foactoring Diff/ Sum of Cubes Factor completely

Javier constructed a square by drawing two congruent triangles. Which shows one of the triangles he could have used? A triangle

maxonik [38]

Answer:

The answer is A triangle with 45 degrees, 45 degrees, and 90 degrees

Step-by-step explanation:

3 0

3 years ago

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I want to suspend my subscription. How would I be able to do that?

blsea [12.9K]

Answer:

Below It shows how to cancel it.

Step-by-step explanation:

3 0

2 years ago

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A researcher wishes to estimate the proportion of X-ray machines that malfunction. A random 275 sample of machines is taken, and

Dominik [7]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

$95\%$ Confidence Interval for both the percentage of all x-ray machines

p = the machinery's share is not working:

$= \frac{228}{275}\\\\ = 0.829$

$\text{Margin of Error} = Z_{(\frac{\alpha}{2})} \times \sqrt{( p \times (1-p)}{n})$

$= 1.96 \times \sqrt{(0.829 \times \frac{0.171}{275})} \\\\= 1.96 \times 0.023 \\\\= 0.045$

Lower $95\%$ Confidence interval = p - error margin $= 0.829 - 0.045 = 0.784$

Upper $95\%$ Confidence Interval = p + error margin $= 0.829 + 0.045 = 0.874$

So, $95\%$ Confidence Interval $= ( 0.78 , 0.87 )$

4 0

2 years ago

A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boa

ser-zykov [4K]

Answer:

t=4h

Steps below

Step-by-step explanation:

We know:

speed of boat with respect to earth: 13 km

speed of stream with respect to earth: 4 km

13 km/h + 4 km/h = 17 km/h The time to travel 68 km with this speed is thus t = 68 km 17 km h = 4 h

Hope this helps.

4 0

3 years ago

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 30,393 miles, with a standard

Pie

Answer:

52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

Step-by-step explanation:

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

Normal probability distribution:

Problems of normally distributed samples are solved using 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 random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 30393, \sigma = 2876, n = 37, s = \frac{2876}{\sqrt{37}} = 472.81$

What is the probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

This probability is the pvalue of Z when X = 30393 + 339 = 30732 subtracted by the pvalue of Z when X = 30393 - 339 = 30054. So

X = 30732

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

By the Central Limit Theorem

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

$Z = \frac{30732 - 30393}{472.81}$

$Z = 0.72$

$Z = 0.72$ has a pvalue of 0.7642.

X = 30054

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

$Z = \frac{30054 - 30393}{472.81}$

$Z = -0.72$

$Z = -0.72$ has a pvalue of 0.2358

0.7642 - 0.2358 = 0.5284

52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

4 0

3 years ago

Foactoring Diff/ Sum of Cubes Factor completely​

Foactoring Diff/ Sum of Cubes Factor completely