The answer is D. "x=-15 or 15."
You can solve this by adding seven on both sides.
|x|-7=8
+7 +7
------------
|x|=15
Therefore, x is either equal to 15 or -15.
a function that model the number of people that receives email in week t is .
<u>Step-by-step explanation:</u>
Here we have , Tobias sent a chain letter to his friends . The number of people who receives the email increases by a factor of 4 in every 9.1 weeks , and can be modeled by a function P, which depends on the amount of time t weeks . Tobias initially sent letter to 37 friends . We need to write a function that model the number of people that receives email in week t . Let's find out:
Basically it's an exponential function as
, In question initial value is 37 & and for every 9.1 weeks there is increase in people by a factor of 4 i.e.
⇒
But , wait ! People increase in every 9.1 weeks not every week so modified equation will be :
⇒
Therefore , a function that model the number of people that receives email in week t is .
Answer: a) 4.6798, and b) 19.8%.
Step-by-step explanation:
Since we have given that
P(n) =
As we know the poisson process, we get that
So, for exactly one car would be
P(n=1) is given by
Hence, our required probability is 0.2599.
a. Approximate the number of these intervals in which exactly one car arrives
Number of these intervals in which exactly one car arrives is given by
We will find the traffic flow q such that
b. Estimate the percentage of time headways that will be 14 seconds or greater.
so, it becomes,
Hence, a) 4.6798, and b) 19.8%.
Answer: The measure of the vertex angle = 80°
Step-by-step explanation:
Angle sum property of triangle : The sum of the measures of the angles for any triangle is 180 degrees.
So,
'
Then, vertex angle =
Hence, The measure of the vertex angle = 80°
Time taken by a regular bus to reach its destination = 3 1/4 hours
= 13/4 hours
Time taken by the express bus to make the same trip = 2 1/2 hours
= 5/2 hours
Time that can be saved by taking the express bus = (13/4) - (5/2) hours
= (13 - 10)/4 hours
= 3/4 hours
So 3/4 hours can be saved by taking the express bus rather than the regular bus. The correct option among all the options given in the question is option "C". I hope the procedure is simple enough for you to understand.