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anzhelika [568]
3 years ago
8

Theoremes A, B, C, D, E and F are points on the circle put cross on the ends of the line that is a diameter of the circle

Mathematics
1 answer:
denpristay [2]3 years ago
4 0

Answer:

brainly.com/question/13383179

Step-by-step explanation:

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Davian is traveling at a constant speed of 85 kilometres per hour. If he is half way through his 510 kilometre trip, how much lo
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E.5 hours
All you have to do is subtract 85 from 510 till you have 0
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Problem 81
netineya [11]

it hasn't been specified which ticket the question's is asking but I'm guessing the price of the adult ones so $30.00

altogether that's two adults and 3 children who all paid a total of $105.00

let's simplify that to algebra

children tickets = c adults tickets = a

3c + 2a = $105.00

we know that 1c is 0.5a because each child ticket is half of an adults one <em>as stated in the question</em>

so in terms of (adults) a: half of 3 meaning 3×0.5= $1.5 meaning 1.5a

so now <em>3c = 1.5a</em>

so we can substitute and have like terms

meaning 1.5a + 2a= $105

3.5a =$105.00

divide by 3.5 on both sides to get a by itself thus the value of a:

a = $30

so each adult tickets cost $30

8 0
2 years ago
Suppose a continuous probability distribution has an average of μ=35 and a standard deviation of σ=16. Draw 100 times at random
yulyashka [42]

Answer:

To use a Normal distribution to approximate the chance the sum total will be between 3000 and 4000 (inclusive), we use the area from a lower bound of 3000 to an upper bound of 4000 under a Normal curve with its center (average) at 3500 and a spread (standard deviation) of 160 . The estimated probability is 99.82%.

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 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 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.

For sums, we have that the mean is \mu*n and the standard deviation is s = \sigma \sqrt{n}

In this problem, we have that:

\mu = 100*35 = 3500, \sigma = \sqrt{100}*16 = 160

This probability is the pvalue of Z when X = 4000 subtracted by the pvalue of Z when X = 3000.

X = 4000

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

By the Central Limit Theorem

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

Z = \frac{4000 - 3500}{160}

Z = 3.13

Z = 3.13 has a pvalue of 0.9991

X = 3000

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

Z = \frac{3000 - 3500}{160}

Z = -3.13

Z = -3.13 has a pvalue of 0.0009

0.9991 - 0.0009 = 0.9982

So the correct answer is:

To use a Normal distribution to approximate the chance the sum total will be between 3000 and 4000 (inclusive), we use the area from a lower bound of 3000 to an upper bound of 4000 under a Normal curve with its center (average) at 3500 and a spread (standard deviation) of 160 . The estimated probability is 99.82%.

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3 years ago
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