Please answer this correctly

Mathematics

1 answer:

vodka [1.7K]2 years ago

7 0

Answers:

First model

20% vacancy

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Work Shown:

25 vacant rooms

125 rooms total

25/125 = (1*25)/(5*25) = 1/5 = 0.20 = 20% vacancy

The model that represents this is the first model since there are 5 blocks, and each block is 25 units wide. So the total width is 5*25 = 125. Each tickmark along the top represents an increment of 20%. So we have 0%, 20%, 40%, 60%, 80% and 100%.

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A livestock company reports that the mean weight of a group of young steers is 1143 pounds with a standard deviation of 88 pound

malfutka [58]

Answer:

a) P(x<1200)=74.14%

b) P(1100<X<1250)=57.54%

Step-by-step explanation:

Normal Distribution

The normal distribution, also known as the bell curve, is a distribution that occurs naturally in many situations of life. We use the model $N(\mu,\sigma)$ to understand the behavior of some real-life variables. Where $\mu$ is the mean value and $\sigma$ is the standard deviation.

In our case, we have

$\mu=1143,\ \sigma=88$

And are required to find the percentage of steers whose weigh lie within a given range. We must use some sort of table or digital means to compute the values because the normal distribution cannot be calculated directly by a formula. We use the NORMDIST (or NORM.DIST) formula for Excel which gives us the left tail of the area behind the bell curve, i.e. the cumulative percentage for a give value of X. The formula has the form

NORM.DIST(x,mean,standard_dev,cumulative)

a) X<1200

The formula is used with the following parameters

NORM.DIST(1200,1143,88,true)

and we get

$P(X$