In your shoes I would look up "mean," "median" and "mode" to be certain of what they mean. That knowledge (or lack of it) will certainly affect your course grade.
Rearrange the nine given numbers in ascending order: 135, 135, 142, 150, 168, 173, 178, 184, 193.
The mode is the number that shows up most often. That'd be 135. No other number shows up twice.
The median is the middle number of the rearranged seet. That'd be 168.
The mean is the arithmetic average of the 9 numbers. To find that, add up the numbers and divide your sum by 9:
135+135+142+150+168+173+178+184+193
mean: ---------------------------------------------------------------- = 162
9
The percent decrease in the music revenue is 60.2%
<h3>How to calculate the percent decrease ?</h3>
Percent decrease can be described as the reduction in the value of a number.
In 1999, the revenue of the company was $14.1 billion
In 2014, the revenue of the company was $5.6 billion
The percent decrease can be calculated as follows
= 14.1 - 5.6/14.1 × 100
= 8.5/14.1 × 100
= 0.602 × 100
= 60.2 %
Hence the percent decrease is 60.2%
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Using the normal distribution, it is found that 2.64% of all the nails produced by this machine are unusable.
In a <em>normal distribution</em> with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It 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:
- The mean is of 3 inches, hence
.
- The standard deviation is of 0.009 inches, hence
.
Nails that are <u>more than 0.02 inches</u> from the mean are unusable, hence:
The proportion is P(|Z| > 2.22), which is <u>2 multiplied by the p-value of Z = -2.22</u>.
Z = -2.22 has a p-value of 0.0132.
2 x 0.0132 = 0.0264
0.0264 x 100% = 2.64%
2.64% of all the nails produced by this machine are unusable.
You can learn more about the normal distribution at brainly.com/question/24663213
Answer:
c. 59.3 ft²
Step-by-step explanation:
½× [(3.14×5²) + (10×4)]
= ½ × (78.5+40)
= ½× 118.5
= 59.3
A + c = 824 represents number of tickets to sell
20a + 12c = 13,344 represents cost of each type of ticket
multiply equation 1 by -12 to cancel the variable 'c' and solve for 'a'
-12(a + c = 824)
-12a - 12c = - 9888
20a + 12c = 13,344 add equations together
-----------------------------
8a = 3456 divide both sides by 8
a = 432
To find children's tickets substitute adult numbers back into equation 1.
a + c = 824
432 + c = 824
subtract 432 from both sides
c = 392
adult 432, children 392
