Anderson’s nursery was choosing between two different greenhouses. 2 greenhouses have a rectangular prism base with a length of
1 answer:
The statements that are true about the volume of the greenhouses are: B and E.
<h3>What is the Volume of Rectangular Prism and Pyramid?</h3>Volume of rectangular prism = (length)(width)(height)
Volume of rectangular pyramid = 1/3(length)(width)(height)
Volume of Greenhouse 1 = volume of rectangular prism + volume of rectangular pyramid = (12)(12)(10) + 1/3(12)(12)(8) = 1,824 m³
Volume of Greenhouse 2 = volume of rectangular prism + volume of triangular prism = (12)(12)(10) + 1/2(12)(8)(12) = 2,016 m³
Difference between the spaces in both greenhouses = 2,016 - 1,824 = 192 m³
Therefore, the true statements about the greenhouses are: Option B and Option E.
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Answer:
a) 0.194 = 19.4% probability that more than 7 preferred McDonald's
b) 0.787 = 78.7% probability that between 3 and 7 (inclusive) preferred McDonald's
c) 0.787 = 78.7% probability that between 3 and 7 (inclusive) preferred Burger King
Step-by-step explanation:
For each young adult, there are only two possible outcomes. Either they prefer McDonalds, or they prefer burger king. The probability of an adult prefering McDonalds is independent from other adults. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
50% of all young adults prefer McDonald's to Burger King when asked to state a preference.
This means that
12 young adults were randomly selected
This means that
(a) What is the probability that more than 7 preferred McDonald's?
In which
0.194 = 19.4% probability that more than 7 preferred McDonald's
(b) What is the probability that between 3 and 7 (inclusive) preferred McDonald's?
0.787 = 78.7% probability that between 3 and 7 (inclusive) preferred McDonald's
(c) What is the probability that between 3 and 7 (inclusive) preferred Burger King?
Since , this is the same as b) above.
So
0.787 = 78.7% probability that between 3 and 7 (inclusive) preferred Burger King