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The city's central library has 72,864 books. The library has 72 bookcases. If each bookcase has room for the same number of book

Korolek [52]

Answer:

the answer is 72,792

Step-by-step explanation:

just subtract 72,792-72

4 0

3 years ago

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There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters tha

vitfil [10]

Answer:

a) $P(2.9$

And we can find this probability with the following difference:

$P(-1$

b) $P(2.9$

And we can find this probability with the following difference:

$P(-3.5$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the diameters of a population 1, and for this case we know the distribution for X is given by:

$X \sim N(3,0.1)$

Where $\mu=2$ and $\sigma=0.1$

We are interested on this probability

$P(2.9$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(2.9$

And we can find this probability with the following difference:

$P(-1$

Part b

$X \sim N(3.04,0.04)$

$P(2.9$

And we can find this probability with the following difference:

$P(-3.5$

4 0

3 years ago

Mickey and Minnie had dinner at Mice are Nice restaurant. Their bill was $42.78. If they tip their waitress 18%, how much tip wi

LuckyWell [14K]

Answer:

The total bill with tip is $50.48

The tip is $7.70

Step-by-step explanation:

I promise you that is the answer!

6 0

3 years ago

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Which of the following is NOT a possible value for the correlation coefficient? 1) negative 0.9 2) zero 3) positive 0.15 4) posi

AnnyKZ [126]

Answer:

4) positive 1.05

Step-by-step explanation:

Correlation:-

Correlation is a statistical measure that indicates the extent to which two or more variables fluctuate together.

Examples:i) The yield of a crop varies with the amount of rainfall

ii) The price of a commodity increases with the reduction in its supply and so on.

That is when the changes in one variable are associated or followed by changes in the other, is called correlation

positive correlation:- If an increase (or decrease ) in the values of one variable corresponds to an increase(or decrease ) in the other, then correlation is said to be positive.

negative correlation:- If an increase (or decrease ) in the values of one variable corresponds to an decrease(or increase ) in the other, then correlation is said to be negative.

no correlation:-

If there is no relationship indicated between the variables,they are said to be independent or uncorrelated.

uses of correlation:-it is used in presenting the average relationship between any two variables through a single value of co-efficient of correlation. correlation is a statistical technique that can show whether and how strongly pairs of variables are related.

The range of correlation is $-1\leq r\leq 1$

r=-1 is the negative correlation

r=1 is the positive correlation

so the answer is not a possible value for the correlation coefficient is positive 1.05.

4 0

3 years ago

Let X denote a random variable which corresponds to the number of players in a team who get injured during a game. If we assume

Feliz [49]

Answer:

(a)

The values of X can be 0, 1, 2 , ..., 10 . So, X is a discrete random variable.

(b)

The distribution of X is Binomial distribution with the parameters n = 10 and p = 0.2

(c)

Probability that no one or one person will be injured = P(X = 0) + P(X = 1)

= 10C0 * 0.20 * (1 - 0.2)10-0 + 10C1 * 0.21 * (1 - 0.2)10-1

= 0.810 + 10 * 0.2 * 0.89

= 0.3758096

(d)

Average value of X = np

Average value of X = 10 * 0.2 = 2

(e)

Variance of X = np(1-p)

Variance of X = 10 * 0.2 * (1 - 0.2) = 1.6

(f)

Number of ways in which 2 people gets injured = 10C2 = 10! / ((10-2)! 2!) = (10 * 9) / (2 * 1) = 45

Assume the best player got injures, number of ways in which one people out of remaining 9 people gets injured = 9C1

= 9! / ((9-1)! 1!)

= 9

Probability that the best player got injured = Number of ways in which 1 people gets out of 9 and best person gets injured / Number of ways in which 2 people gets injured

= 9 / 45

= 0.2

4 0

3 years ago