Answer: First option is correct.
Step-by-step explanation:
Since we have given that
Total area of square inches = 400
The area of the large circle = 314
Now, we need to find the probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square,
Let E be the event the Trisha will get points .
so,

As we know that

So, Probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square = 0.22
So, First option is correct.
Answer:
if you're looking for x its -13
The value of the factorial is 5!4!/7!2! = 2/7
<h3>What is factorial?</h3>
The product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point.
Given:
5!4!/7!2!
= 5!* 4*3*2!/7*6*5!*2!
=4*3/7*6
=12/42
=4/14
=2/7
Hence, 5!4!/7!2! = 2/7.
Learn more about factorial here:
brainly.com/question/1357774
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5.5% of 65 = 3.575
65 +3.575
= $68.575.
= $68.58.
Answer:
The fifth degree Taylor polynomial of g(x) is increasing around x=-1
Step-by-step explanation:
Yes, you can do the derivative of the fifth degree Taylor polynomial, but notice that its derivative evaluated at x =-1 will give zero for all its terms except for the one of first order, so the calculation becomes simple:

and when you do its derivative:
1) the constant term renders zero,
2) the following term (term of order 1, the linear term) renders:
since the derivative of (x+1) is one,
3) all other terms will keep at least one factor (x+1) in their derivative, and this evaluated at x = -1 will render zero
Therefore, the only term that would give you something different from zero once evaluated at x = -1 is the derivative of that linear term. and that only non-zero term is:
as per the information given. Therefore, the function has derivative larger than zero, then it is increasing in the vicinity of x = -1