Answer:
The probability that none of the meals will exceed the cost covered by your company is 0.2637.
Step-by-step explanation:
A hyper-geometric distribution is used to define the probability distribution of <em>k</em> success in <em>n</em> samples drawn from a population of size <em>N</em> which include <em>K</em> success. Every draw is either a success of failure.
The random variable <em>X</em> = number of meals that will exceed the cost covered by the company.
The random variable <em>X</em> follows a hyper-geometric distribution.
The information provided is:
N = 15
K = 3
n = 5
k = 0
The probability mass function of a hyper-geometric distribution is:

Compute the probability that none of the meals will exceed the cost covered by your company as follows:

Thus, the probability that none of the meals will exceed the cost covered by your company is 0.2637.
Answer:
Final answer is $12696.
Step-by-step explanation:
Given that initial amount P = $28000
Interest rate r = 5.8% = 0.058
Time = 1 year
Then future value is given by :


Similarly calculate future value for 2nd case:
Given that initial amount P = $16000
Interest rate r = 5.8% = 0.058
Time = 1 year
Then future value is given by :


then difference = 29624 - 16928 = 12696
Hence final answer is $12696.
Answer:
Step-by-step explanation:
Remark
The ratios are certainly correct but that doesn't mean that they show similarity. SSA is a very dangerous proposition to use. Redraw triangle DEF of that DF is going to upwards to your right hand side. Make E as it was before. Why isn't this right?
It isn't right because E has gone from being an acute angle to an obtuse angle (an angle larger than 90 but less than 180).
The ratios are still true, but the angles do not match. So the whole answer is incorrect.
Answer:
1/16
Step-by-step explanation:
Of the 16 ways you can answer the 4 questions, only one of those ways has all answers correct.
Each question can be answered 2 ways, and the answer to each one is independent of the answer to any other. So, there are 2·2·2·2 = 2^4 = 16 ways to answer the 4 questions.