Step-by-step explanation:
1.) Firstly, you need to count out how many things there are. 4 app, 5 entrees, 2 desserts. This makes 11 different things
2.) for 11 numbers there can be 9 ways for each number for 1st nine places since 0 can't be the fist figure and next two are reciprocated from 10 numbers. Therefore 10!/2!
3.)So 99 combinations have 10!/2! Permutations hence total ways are 99*10!/2!
Alternatively, you can write radicals as rational exponents, so that you get
Then recalling that
, you have
yes
Substitute x and y into the
equation we have
0+4 .(-5)=-20
<=>-20=-20
satisfy the condition
Answer: a) 2 b) 1.407
Step-by-step explanation:
Given : The probability that any particular diode will fail : p=0.01
The number of diodes in a circuit : n= 200
The number of diodes expected to fail will be :-
Hence, the number of diodes expected to fail =2
The standard deviation of the number that are expected to fail will be :-
[Rounded to three decimal places.]
Hence, the standard deviation of the number that are expected to fail= 1.407
This question is best answered by finding the least common multiple of both 45 and 20. If a scenario indicates every so many, it would be like listing the multiples. It can be harder to list the multiples of bigger numbers (45, 90, 135, 180 and 20, 40, 60, 80, 100, 120, 140, 160, 180), so another strategy is to use prime factorizations. The prime factorization of 45 is <em>3</em> x <em>3</em> x 5 and the prime factorization of 20 is <em>2</em> x <em>2</em> x 5. The numbers that are the same in both prime factorizations are part of your answer. All other numbers (the italicized ones) also become a factor in your final answer, so 5 x 3 x 3 x 2 x 2 = 180. This means 180 minutes later they both start again at the same time. So 3 hours from 9 am is 12 noon.
