Answer:
Any collection of lengths (a, b, c) which do not satisfy the triangle inequalities.
Step-by-step explanation:
Any collection (a, b, c) which do not satisfy the triangle inequalities. The inequalities:
a + b > c
b + c > a
a + c > b
You will need to test all of your options on the three inequalities above. If any one of the three fails, the collection won't work.
Answer:
(3, 0) and (5, 0)
Step-by-step explanation:
we have

we know that
The x-intercepts are the values of x when the value of y is equal to zero
so
For y=0

The formula to solve a quadratic equation of the form
is equal to

in this problem we have
so

substitute in the formula





so
x=3, x=5
therefore
The x-intercepts are (3,0) and (5,0)
Answer:
The probability is 0.33696
Step-by-step explanation:
The probability that the outcome will be heads x times is calculated using the following equation:

nCx is calculated as:

This apply for variables that follows a binomial distribution. In which we have n independent and identical events with two possibles results: success and fail with a probability p and 1-p respectively.
So, In this case, n is equal to 5, and p is equal to 0.6 because we are going to call success the event in which the outcome of the coin is head.
Then, the probability that the outcome will be heads at least 4 times is calculated as:
P = P(4) + P(5)
Where P(4) is:

P(4)=0.2592
And P(5) is:

P(4)=0.07776
Finally, the probability is:
P = 0.2592 + 0.07776
P = 0.33696
Answer:
$92492.40
Step-by-step explanation:
168168.00 - 55% (75675.60)= $92492.40
D
The domain is the x values, so the right side of the circle are the x’s.