Answer:
900 minutes
Step-by-step explanation:
Given the function :
m(x) = 30x
m(x) ; function which represents number of total minutes ;
x = extra lesson session
If Eric goes for extra lesson session 2 times per week for. 10 weeks
Number of extra lesson sessions, x : (2 * 10) = 20 extra lesson sessions
Total Number of minutes :
m(x) = 30x
m(30) = 30(30)
= 900 minutes
Answer:
The probability a person will not live in a mobile home if they do not die as a result of the tornado is 0.9265.
Step-by-step explanation:
Denote the events as follows:
<em>X</em> = a person lives in a mobile home.
<em>Y</em> = a person dies as a result of tornado.
Given:

Compute the value of
as follows:

Compute the probability that a person dies as a result of tornado as follows:

Then the probability that a person does not dies as a result of tornado is:

Compute the value of
as follows:

Thus, the probability a person will not live in a mobile home if they do not die as a result of the tornado is 0.9265.
Alternate interior angles theorem.
<u>Step-by-step explanation:</u>
By using the definition of Alternate Interior Angles theorem, we can say that If a transversal cuts any two parallel lines, then those pairs of alternate interior angles are seems to be congruent.
So in the given triangle,
∠4 ≅ ∠2
∠5 ≅ ∠3
Sum of all the angles in a triangle = 180°
∠1 + ∠2 + ∠3 = 180°
Since from the above congruence, we can write that
∠1 + ∠4 + ∠5 = 180°
Hence proved.
Y = f(x) + k
The k on the function will translate the function up or down.
If k is positive, it will translate up.
If k is negative, it will translate down.
Answer: 90 or 96
Step-by-step explanation: 90 divided by 6 is 15, 96 divided by 6 is 16. Both of them have 9 as one of the digits