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3 years ago

Quick! [0, infty) open or closed interval?

1 answer:

5 0

Infinite intervals are closed if they contain a finite endpoint, and open otherwise. The entire real line is an infinite interval that is both open and closed

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in 2014 the attendance at jefferson schools fall festival was 650 in 2015 the attendance was 575 what was the percent change

Gnoma [55]

There was 11.54% decrease in attendance.

Step-by-step explanation:

Attendance in 2014 = Old value = 650

Attendance in 2015 = New value = 575

Change = New value - Old value

Change = 575 - 650 = -75

The negative sign indicates a decrease in attendance.

Decrease percentage = $\frac{Change}{Old\ value}*100$

$Decrease\ percent=\frac{75}{650}*100\\\\Decrease\ percent=\frac{7500}{650}\\\\Decrease\ percent=11.538\%$

Rounding off to nearest hundredth

Decrease percent = 11.54%

There was 11.54% decrease in attendance.

Keywords: percentage, subtraction

Learn more about subtraction at:

#LearnwithBrainly

4 0

2 years ago

Read 2 more answers

an outlier may be defined as a data point that is more than 1.5 times the interquartile range below the lower quartile or is mor

Ira Lisetskai [31]

Supposing a normal distribution, we find that:

The diameter of the smallest tree that is an outlier is of 16.36 inches.

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We suppose that tree diameters are normally distributed with mean 8.8 inches and standard deviation 2.8 inches.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score 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, which is the percentile of X.

In this problem:

Mean of 8.8 inches, thus $\mu = 8.8$ .
Standard deviation of 2.8 inches, thus $\sigma = 2.8$ .

The interquartile range(IQR) is the difference between the 75th and the 25th percentile.

25th percentile:

X when Z has a p-value of 0.25, so X when Z = -0.675.

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

$-0.675 = \frac{X - 8.8}{2.8}$

$X - 8.8 = -0.675(2.8)$

$X = 6.91$

75th percentile:

X when Z has a p-value of 0.75, so X when Z = 0.675.

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

$0.675 = \frac{X - 8.8}{2.8}$

$X - 8.8 = 0.675(2.8)$

$X = 10.69$

The IQR is:

$IQR = 10.69 - 6.91 = 3.78$

What is the diameter, in inches, of the smallest tree that is an outlier?

The diameter is 1.5IQR above the 75th percentile, thus:

$10.69 + 1.5(3.78) = 16.36$

The diameter of the smallest tree that is an outlier is of 16.36 inches.

A similar problem is given at brainly.com/question/15683591

3 0

2 years ago

A three-dimensional array can be thought of as ______ of two-dimensional arrays.

Iteru [2.4K]

A page of two-dimensional arrays can be thought of as a three-dimensional array. Since 2-dimensional arrays are commonly expressed in tables or matrixes, therefore, if we put these tables or matrices in a page, the collection of matrices in a single page would now be structured into a 3D array.

6 0

3 years ago

Marcus buys a tent priced at $50 if the sales tax is 5% how much tax will Marcus pay

seraphim [82]

5% = 0.05

50 x 0.05 = $2.50

Total tax will be $2.50

Total amount he will pay = 50 + 2.50 = $52.50

3 0

3 years ago

Read 2 more answers

What is this expression in simplest form?