Answer:
Range = 2460 dollars, Variance = 516414.6
, 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
where
is the sample mean, n is the sample size and the
are the sample values. In this case the sample variance is
= 516414.6
, 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.
Answer:3 hours
Step-by-step explanation:
Juno jogs at rate of 6 miles and bikes at rate of 14 miles covering total of 48 miles.
Akima jogs at rate of 8 miles and bikes at rate of 12 miles covering total of 44 miles.
Let jogging be represented by j
Let biking be represented by b
For Juno, 6j + 14b = 48 ......... i
For Akima, 8j + 12b = 44.......... ii
Multiply equation I by 8
Multiply equation ii by 6
48j + 112b = 384 ........... iii
48j + 72b = 264 ............. iv
Subtract equation iv from iii
48j + 112b = 384
- 48j + 72b = 264
40b = 120
b = 120/40
b = 3
Number of hours spent biking is 3 hours.
The rocket fuel container on the actual shuttle is 75 in. long
Ratio of the model: actual shuttle
1:15
Ratio of fuel tank on model: fuel tank on actual shuttle
5: (unknown)
Multiply 5 by 15 to find the unknown value.
5 x 15 = 75 inches long
Answer:
96
Step-by-step explanation:
1 pound is 16 ounces
6 pounds=x ounces
So we use the X to signal it's presence
1x16 is 16,
That means 16 ounces
6xP=Q
6x16 will give us our answer
Because it will tell us how many pounds there are since ounces is multiplied to get ounces.
6x16=96
P=16
Q=96
96 is our answer.
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