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stealth61 [152]
2 years ago
9

A large company releases statistics about the annual salaries for its employees.

Mathematics
1 answer:
inessss [21]2 years ago
8 0

Pieces of data such as $18,000 and $350,000 represent outliers in this chart.

<h3>What is an outlier?</h3>

An outlier is a piece of information that is mathematically atypical or that differs from constant mathematical values. For example, if the number of people on a restaurant is each table is 4, 3, 2, 5, 4, 10, the outlier is 10 because his value is atypical.

<h3>Are there any outliers in the data?</h3>

In this chart, there are outliers. The main outliers are $18,000 and $350,000. This is because we know the mean or average is $63,423, and therefore values that are too different from this average are considered outliers.

Learn more about outliers in: brainly.com/question/9933184

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The average amount of water in randomly selected 16-ounce bottles of water is 16.15 ounces with a standard deviation of 0.45 oun
vekshin1

Answer:

0.0179 = 1.79% probability that the mean of this sample is less than 15.99 ounces of water.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

In this question, we have that:

\mu = 16.15, \sigma = 0.45, n = 35, s = \frac{0.45}{\sqrt{35}} = 0.0761

What is the probability that the mean of this sample is less than 15.99 ounces of water?

This is the pvalue of Z when X = 15.99. So

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{15.99 - 16.15}{0.0761}

Z = -2.1

Z = -2.1 has a pvalue of 0.0179

0.0179 = 1.79% probability that the mean of this sample is less than 15.99 ounces of water.

3 0
3 years ago
Picture of reflected trapezoid above the line
asambeis [7]

Answer:

which line!

x or y axis?

first image is over the x axis

second is over the y

Step-by-step explanation:

HOPE THIS HELPS, BRAINLIEAST PLZZ

3 0
3 years ago
An old house has a basement stairway that has steps with 7.25 inch vertical risers and 7 inch horizontal treads. What is the slo
svlad2 [7]

Answer:

1.04 inch

Step-by-step explanation:

Given: Old house has a basement stairways with 7.25 inch vertical riser and 7 inch horizontal treads.

Remember; horizontal treads is known as run in steps.

Now, calculating the slope of the stairways.

Formula: Slope= \frac{Rise}{Run}

Rise= 7.25 inch

Run= 7 inch.

Subtituting the value in the formula

Slope= \frac{7.25}{7}= 1.0357 \approx 1.04 (∵ Round to two decimal)

∴ Slope of stairways is 1.04.

4 0
3 years ago
I beg please help :(
Aloiza [94]

Answer:

(2.8, 0.8)

(0.8, -1.8)

Step-by-step explanation:

1. Home (Xa, Ya)= (8, 6)

San Antonio (Xb, Yb)=(-5, -7)

Xa-Xb=8-(-5)=13

Ya-Yb=6-(-7)=13

Emily  starts at 2/5 of the road, make it  (Xc, Yc)

Xc= Xa-(Xa-Xb)2/5=8-5.2=2.8

Yc=Ya-(Ya-Yb)2/5=6-5.2=0.8

=> Emily starts at (2.8, 0.8)

2.

Emily ends at 3/5 of the road, , make it  (Xd, Yd)

Xd= Xa-(Xa-Xb)3/5=8-7.8=0.8

Yd=Ya-(Ya-Yb)3/5=6-7.8=-1.8

=> Emily ends at (0.8, -1.8)

6 0
3 years ago
use 3.14 n for to estimate the area of a circle if the diameter is given on your answer to the nearest hundredth if necessary​
s2008m [1.1K]

Answer: The Answer is pie

Step-by-step explanation:

8 0
3 years ago
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