Answers:
Angle T = 79 degrees
Angle V = 14 degrees
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Work Shown:
T + V = 93
(2x+85) + (5x+29) = 93
7x+114 = 93
7x = 93-114
7x = -21
x = -21/7
x = -3
This x value is used to find each angle mentioned.
- Angle T = 2x+85 = 2(-3)+85 = -6+85 = 79 degrees
- Angle V = 5x+29 = 5(-3)+29 = -15+29 = 14 degrees
As a check, T+V = 79+14 = 93 which confirms our answers.
The median is a better representative of the central value of a data set when
the data set is highly skewed.
Note that
The median and average value only coincide when the distribution is perfectly normal.
Many outliers will also skew the distribution, and the median becomes a better representative.
Answer:
Company B is more likely to produce a box of 260 roofing nails.
Step-by-step explanation:
Company A :
Mean = 272 nails
Standard deviation = 5.4 nails
Roofing nails expected to be produced = 260
⇒ 260 = 272 + z × 5.4
⇒ z = -2.222
Hence, Company A has a chance of 1.32% of producing exactly or fewer than 260 boxes of roofing nails.
Company B :
Mean = 249 nails
Standard deviation = 3.8 nails
Roofing nails expected to be produced = 260
⇒ 260 = 249 + z × 4.8
⇒ z = 2.895
Hence, Company B has a chance of 0.19% of producing exactly or more than 260 boxes of roofing nails.
Therefore, Company B is more likely to produce a box of 260 roofing nails.
