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3 years ago

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In the number 555,55 each digit is a 5 but value of rachis different based on its place in the number. How does the value of 5 i

n the tents place compare to the value of the underline digit 5

1 answer:

andrew11 [14]3 years ago

5 0

As you move from each place to the left one place, the value increases by 10. If you move right a place, the value decreases by 10.

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Clare has 130 songs in her music collection. Fifty-nine of the songs are rock and roll. About what percent of the songs are rock

Vlad1618 [11]

Hi lovely,

The answer you're looking for would be 76.7

.59x130 = 76.7

4 0

3 years ago

Read 2 more answers

A ski lift is designed with a total load limit of 20,000 pounds. It claims a capacity of 100 persons. An expert in ski lifts thi

Yanka [14]

Answer:

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

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.

For the sum of n values of a distribution, the mean is $\mu \times n$ and the standard deviation is $\sigma\sqrt{n}$

An expert in ski lifts thinks that the weights of individuals using the lift have expected weight of 200 pounds and standard deviation of 30 pounds. 100 individuals.

This means that $\mu = 200*100 = 20000, \sigma = 30\sqrt{100} = 300$

If the expert is right, what is the probability that a random sample of 100 independent persons will cause an overload

Total load of more than 20,000 pounds, which is 1 subtracted by the pvalue of Z when X = 20000. So

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

$Z = \frac{20000 - 20000}{300}$

$Z = 0$

$Z = 0$ has a pvalue of 0.5

1 - 0.5 = 0.5

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

5 0

3 years ago

The team first experiments with changing the position of the curved pit. In the computer program, the vertex begins on the origi

Advocard [28]

Answer:

Step-by-step explanation:

This question is incomplete; find the complete question in the attachment.

Given curve is modeled by the quadratic equation,

y = x²

If the curved pit is shifted 2 units down,

Equation of the translated curve will be,

y = x² - 2

If the curved pit is translated (shifted) by 2 units left,

Equation of the new curve will be,

y = (x + 2)²

If the curved pit is shifted by 2 units right,

Equation of the translated curve will be,

y = (x - 2)²

If the curved pit is shifted 2 units up,

Equation of the translated curve will be,

y = x² + 2

6 0

3 years ago

Find the value of x at which the function has a possible relative maximum or minimum point. (Recall that e Superscript x is pos

shutvik [7]

Answer:

x= -11/4 is a maximum.

Step-by-step explanation:

Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that

$f'(x)= -e^{-4x}(11+4x)$

And then we get that if $11+4x = 0$ then $x = -11/4$ . So it has a critical point at $x = -11/4$ .

Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.

Since

$f''(x) = 8e^{-4x} (5+2x)\\f''(-11/4) = -239496.56$

x= -11/4 is a maximum.

6 0

3 years ago

Problem page ravi runs 7 miles in 80 minutes. at the same rate, how many miles would he run in 64 minutes?

aleksandr82 [10.1K]

5.6mile

7 x
-- = --
80 64

7×64=80x
448=80x
x=5.6

3 0

3 years ago