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Veronika [31]
3 years ago
15

Congruent Triangles ?

Mathematics
1 answer:
mel-nik [20]3 years ago
4 0

Check the picture below.

well, it's noteworthy to say that when dropping a perpendicular line from a right angle in a right triangleto the hypotenuse, we'd end up with 3 similar triangles, a Large a Medium and a Small one, all three similar.

3a)

is the Small similar to the Large one? well, let's notice, they both have a 90° angle and also they share the purple one, similar triangles by AA.

3b)

are the Medium and the Large one similar?  well, let's notice, just like before, they both have a 90° and they also share the green one, similarity by AA.

3c)

are the Small and Medium similar?

if Large ~ Medium

and

Large ~ Small

then

Medium ~ Small.

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A certain bacteria culture grows at a rate of 18% everyday. There are currently 420 bacteria. How many bacteria will there be on
spayn [35]

In this question, it is given that

A certain bacteria culture grows at a rate of 18% everyday. There are currently 420 bacteria.

And we have to find number of bacterias on day *.

For that we use the following formula

N(t) =N_{0} (1 +r)^t

N(0)= 420, r = 0.18 , and \ t = 8days

Substituting these values in the formula, we will get

N(8)= 420(1+0.18)^8
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N(8)=1579

THerefore on day 8, number of bacterias are 1579.

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If you flip a coin 24 times, how many times would you predict that the coin lands on tails?
olya-2409 [2.1K]

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daren has 10 sweets .hellen has 30 sweets.faith has 4 fewer sweets than the average number of sweets daren,hellenand faith have.
Sunny_sXe [5.5K]

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Step-by-step explanation:

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Hopefully this helps :) Good luck!

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What is the density of water? Remember for water 1g=1ml=1cm^3
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CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars
velikii [3]

Answer:

P(939.6 < X < 972.5) = 0.6469

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 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 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.

CNNBC recently reported that the mean annual cost of auto insurance is 965 dollars. Assume the standard deviation is 113 dollars.

This means that \mu = 965, \sigma = 113

Sample of 57:

This means that n = 57, s = \frac{113}{\sqrt{57}} = 14.97

Find the probability that a single randomly selected policy has a mean value between 939.6 and 972.5 dollars.

This is the pvalue of Z when X = 972.5 subtracted by the pvalue of Z when X = 939.6. So

X = 972.5

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

By the Central Limit Theorem

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

Z = \frac{972.5 - 965}{14.97}

Z = 0.5

Z = 0.5 has a pvalue of 0.6915

X = 939.6

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

Z = \frac{939.6 - 965}{14.97}

Z = -1.7

Z = -1.7 has a pvalue of 0.0446

0.6915 - 0.0446 = 0.6469

So

P(939.6 < X < 972.5) = 0.6469

3 0
2 years ago
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