Answer:
see explanation
Step-by-step explanation:
These are the terms of a geometric sequence with n th term
= a
Where a is the first term and r the common ratio
r =
=
=
= 2
and a = 5, hence explicit equation is
= 5
Answer:
y = 3x -1
Step-by-step explanation:
When x goes up 2 units from 5 to 7, y goes up 6 units, from 14 to 20. That's 3 times as many units as the change in x.
When x goes up 4 units from 7 to 11, you goes up 12 units, from 30 to 32. That's 3 times as many units as the change in x.
So, the slope of the function is constant at 3. If y were 3x exactly, the output numbers would be 15, 21, 33, each of which is 1 higher than the actual output. Hence the output must be one less than 3x, or ...
y = 3x -1
Answer: 2718
Step-by-step explanation:
Given: Mean score = 85
Standard deviation = 5
Let x be the score of a random student that follows normal distribution.
Then, the probability that a student scored between 90 and 95 will be

The number of students scored between 90 and 95 = 0.1359 x (Total students)
= 0.1359 (20000)
= 2718
Hence, The number of students scored between 90 and 95 = 2718
Answer:
15 m
Step-by-step explanation:
you would use a sin equation because given the angle, the side you are resting to find is Opposite and the side you are given is the Hypotenuse
sin (32) = a/28
28 x sin (32) = a
14.83 = a
15 m = a when rounded
Step-by-step explanation:
A) 45
B) 6
C) 6.7082039326