The conditional relative frequency table was generated using data that compares the number of boys and girls who pack their lunc
h or buy lunch from the cafeteria.
A 4-column table with 3 rows. The first column has no label with entries boys, girls, total. The second column is labeled cafeteria with entries 0.44, 0.4, 0.42. The third column is labeled pack with entries 0.56, 0.6, 0.58. The fourth column is labeled total with entries 1.0, 1.0, 1.0.
35 total girls and 50 total boys were surveyed. How many students bought their lunch from the cafeteria? Round to the nearest whole number.
A 4-column table with 3 rows. The first column has no label with entries boys, girls, total. The second column is labeled cafeteria with entries 0.44, 0.4, 0.42. The third column is labeled pack with entries 0.56, 0.6, 0.58. The fourth column is labeled total with entries 1.0, 1.0, 1.0.
35 total girls and 50 total boys were surveyed. How many students bought their lunch from the cafeteria? Round to the nearest whole number.
2 answers:
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Answer:
a) X ~
b) μ = 100/3
c)
d) A battery is expected to last 100/3 months (33 months and 10 days approximately).
e) For seven batteries, i would expect them to last 700/3 months (approximately 19 years, 5 months and 10 days).
Step-by-step explanation:
a) The life of a battery is usually modeled with an exponential distribution X ~
b) The mean of X is μ = 1/0.03 = 100/3
c) The standard deviation is
d) The expected value of the bateery life is equal to its mean, hence it is 100/3 months.
e) The expected value of 7 (independent) batteries is the sum of the expected values of each one, hence it is 7*100/3 = 700/3 months.
Answer:
588 sq. in.
Step-by-step explanation:
The total volume of air inside the skylight is in the shape of a pyramid, not the rectangular prism at the bottom.
So, if we look at the pyramid, it has a square base with dimensions 14 x 14. Its height is 11 - 2 = 9.
Formula for volume of a pyramid is:
V = 1/3 * Area of Base * height
Area of Base (since it is a square) = 14 * 14 = 196
Height is 9
<em>plugging into the formula, we get:</em>
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<em>Hence, volume is 588 sq. in.</em>