Multiple Choice Problems 10 - 14.

Mathematics

1 answer:

Marianna [84]4 years ago

6 0

Answer:

10 A

11 B

12 B

13 C

14 C

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Listed below are the amounts (dollars) it costs for marriage proposal packages at different baseball stadiums. Find the range,

yulyashka [42]

Answer:

Range = 2460 dollars, Variance = 516414.6 $dollars^2$ , Standard deviation = 718.6199 dollars . There are two outliers and they are likely to have much of an effect on the measures of variation.

Step-by-step explanation:

The smallest value in the sample data is min = 50 dollars and the largest value is max = 2500 dollars, therefore, the range is Range = max - min = 2500 - 40 = 2460 dollars. On the other hand, the formula to compute the sample variance is $S^2 = \frac{1}{n-1}\sum_{i=1}^{n} (x_{i}-\bar{x})^2$ where $\bar{x}$ is the sample mean, n is the sample size and the $x_{i}$ are the sample values. In this case the sample variance is $s^2$ = 516414.6 $dollars^2$ , the sample standard deviation is defined as the squared root of the sample variance, so, the sample standard deviation is s = 718.6199 dollars. There are two outliers because 1750 dollars and 2500 dollars are very different compared to the other values, these two numbers are very large and they are likely to have much of an effect on the measures of variation because these measures are sensible to outliers, they are no robust measures.

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4 years ago

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The area of a rectangular parking lot is represented by A = 6x^2 − 19x − 7 If x represents 15 m, what are the length and width o

Mekhanik [1.2K]

Answer:

The length and width of the parking lot are $\frac{46}{3}$ meters and $\frac{23}{2}$ meters, respectively.

Step-by-step explanation:

The surface formula ( $A$ ) for the rectangular parking lot is represented by:

$A = w\cdot l$

Where:

$w$ - Width of the rectangle, measured in meters.

$l$ - Length of the rectangle, measured in meters.

Since, surface formula is a second-order polynomial, in which each binomial is associated with width and length. If $A = 6\cdot x^{2}-19\cdot x -7$ , the factorized form is:

$A = \left(x-\frac{7}{2}\,m \right)\cdot \left(x+\frac{1}{3}\,m \right)$

Now, let consider that $w = \left(x-\frac{7}{2}\,m \right)$ and $l = \left(x+\frac{1}{3}\,m \right)$ , if $x = 15\,m$ , the length and width of the parking lot are, respectively: