Answer:
The members of the cabinet can be appointed in 121,080,960 different ways.
Step-by-step explanation:
The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
If there are 14 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?
Permutations of 8 from a set of 14. So
The members of the cabinet can be appointed in 121,080,960 different ways.
Using it's concept, it is found that there is a 0.5 = 50% probability that one of the fair number cubes is a 1.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
The outcomes of the pair of cubes that result in a sum of 5 are as follows:
(1,4), (2,3), (3,2), (4,1).
Of those 4 outcomes, 2 involve a number 1, hence the probability is given by:
p = 2/4 = 0.5.
More can be learned about probabilities at brainly.com/question/14398287
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<h3>
Answer: 20.3</h3>
Work Shown:
tan(angle) = opposite/adjacent
tan(B) = AC/AB
tan(67) = x/8.6
8.6*tan(67) = x
x = 8.6*tan(67)
x = 20.2603303460843 ... make sure your calculator is in degree mode
x = 20.3 .... rounding to 3 significant figures
see diagram below
The correct answer is B. cm3
This is saying "centimeters cubed", and is true because you are multiplying 3 dimensions of centimeters, width*length*height, to get the answer. Thus, you are multiplying the numbers <em>and </em>the units. 30*30*25 and cm*cm*cm
