Answer:
The probability that exactly 5 are unable to complete the race is 0.1047
Step-by-step explanation:
We are given that 25% of all who enters a race do not complete.
30 have entered.
what is the probability that exactly 5 are unable to complete the race?
So, We will use binomial
Formula : 
p is the probability of success i.e. 25% = 0.25
q is the probability of failure = 1- p = 1-0.25 = 0.75
We are supposed to find the probability that exactly 5 are unable to complete the race
n = 30
r = 5
Hence the probability that exactly 5 are unable to complete the race is 0.1047
<h2>
Hello!</h2>
The answer is:
The answer is the fourth option,
<h2>
Why?</h2>
Piecewise functions are functions that are composed by two or more expressions, the expression to use will depend of the domain or input that we need to evaluate.
We are given the piecewise function:
There, we know that:
We should use the first expression if the value to evaluate is less than -2.
So, for this case, the function will be:
We should use the second expression if the value to evaluate is greater or equal than 2.
So, for this case, the function will be:
Now, since we are given that the value to evaluate is -3, and its less than -2, we need to use the first expression, and evaluate it.
So, evaluating the function we have:
Hence, we have that the answer is the fourth option,
Have a nice day!
<span>5.497211734394065. radius confirmed!</span>
Answer:
x = - 2, x = 7
Step-by-step explanation:
To find the x- intercepts let f(x) = 0, that is
x² - 5x - 14 = 0 ← in standard form
(x - 7)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 2 = 0 ⇒ x = - 2
It is the AAS Postulate.
Explanation: You’re given two right angles (because perpendicular sides make right angles).
This also means that the angle next to them are also right angles, because they are linear pairs (180-90=90)
The right angles are:
This is your first A.
Both triangles also share a similar angle:
This is your second A.
You’re given side BD is congruent to EC.
This is your S.
It’s AAS and not ASA because the order refers to how they are connected: they are congruent in the order that the first set of congruent angles connect to the next, then to the congruent side.
