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➷ Divide by the denominator:
453/3 = 151
Multiply by the numerator:
151 x 2 = 302
Subtract this from the original number:
453 - 302 = 151
He has 151 sweets left
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Answer:
0.4629 = 46.29% probability that the manager finds more than two such transactions
Step-by-step explanation:
For each transaction, there are only two possible outcomes. Either there is a procedural error, or there is not. The probability of a procedural error on a transaction is independent of any other transaction. This means that 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.
A manager randomly selected 25 large cash transactions at a bank that were made in January.
This means that 
The chance for a procedural error is 10%
This means that 
What is the probability that the manager finds more than two such transactions?
This is:

In which







0.4629 = 46.29% probability that the manager finds more than two such transactions
Answer:
The inner function is
and the outer function is
.
The derivative of the function is
.
Step-by-step explanation:
A composite function can be written as
, where
and
are basic functions.
For the function
.
The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.
Here, we have
inside parentheses. So
is the inner function and the outer function is
.
The chain rule says:
![\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%3Df%27%28g%28x%29%29g%27%28x%29)
It tells us how to differentiate composite functions.
The function
is the composition,
, of
outside function: 
inside function: 
The derivative of this is computed as

The derivative of the function is
.
Answer:
<u><em>Question 1:</em></u>
The smallest 5-digit no. is <u><em>10,000</em></u>
<u>The product of its prime factors is:</u>
=> 10,000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5
<u><em>Question 2:</em></u>
The prime factors of 1729 are:
=> 1729 = 7 × 13 × 19
The relation between their 2 consecutive prime factor is that when they both are subtracted, they give the result 6
<u><em>Such as :</em></u>
=> 13-7 = 6
=> 19-13 = 6
Hope this helps!
Don't hesitate asking anything regarding this question!
Answer:
5
Step-by-step explanation:
if you add the tip it is 5 dollars