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Gwar [14]
3 years ago
8

Please Help! Given triangles ABC and DEF, which statement explains a way to determine if the two figures are similar?

Mathematics
2 answers:
forsale [732]3 years ago
5 0

Answer:

A

Step-by-step explanation:

i took the test

ICE Princess25 [194]3 years ago
4 0

Answer:

A- Verify corresponding pairs of ANGLES are congruent by TRANSLATION.

Step-by-step explanation:

You find the congruent pairs by the angles, not the sides. Because the sides can be the same size but the angles can possibly not be congruent so you check by the angles. And Translation because you don't change the size of the object to see if it's congruent.

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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
What is a ratio that compares two quantities measured in different units
Lisa [10]
A ratio that compares two quantities measured in different units is a conversion factor!
8 0
3 years ago
Root99 + root44<br> can someone help?
iogann1982 [59]

Answer:

here I worked it out on my calculator so it should be right

5 root 11

6 0
2 years ago
Three cards are drawn from a standard deck. What is the probability that all three are hearts, given that at least two of them a
bogdanovich [222]

Answer:

1/3 I believe because we already know 2 of them are hearts

Step-by-step explanation:

3 0
3 years ago
Brent's pick-up tuck can carry 1/5 ton. nina's pick-up truck can carry 500 pounds. whose pick-up truck can carry more weight? ex
Molodets [167]
Brent 1 ton is 2000 lbs /5= 400 lbs
Nina 500 lbs
So Nina 's truck can carry more
6 0
3 years ago
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