Answer:
The y intercept is 5
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
y = -3/2x+b
Substitute the point into the equation and solve for b
8 = -3/2(-2)+b
8 = 3+b
8-3 =b
5=b
The y intercept is 5
Answer:
First, let's define an arithmetic sequence:
In an arithmetic sequence, the difference between any two consecutive terms is always the same.
Then we can write it in a general way as:
aₙ = a₁ + (n - 1)*d
where:
aₙ is the n-th term of the sequence.
d is the constant difference between two consecutive terms.
a₁ is the initial term of our sequence.
Now in this case we know that the first terms of our sequence are:
84, 77, ...
Then we know the initial term of our sequence:
a₁ = 84.
And the value of d can be calculated as:
d = a₂ - a₁ = 77 - 84 = -7
Then the general way of writing this sequence is:
aₙ = 84 + (n - 1)*(-7)
And the recursion relation is:
aₙ = aₙ₋₁ - 7
So for the n-th term, we must subtract 7 of the previous term.
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Answer:
Step-by-step explanation:
X no of questions student answers is binomial with n =40 and p =0.5
If approximated to normal, X is Normal with
mean = np = 20 and variance = npq = 10
P(X>N) >0.10
We use std normal distribution table to get z value first then convert to x value
So 
This is with continuity correction.
Hence without continuity correction this equals 7.2-0.5 = 6.7
x>6.7
n = 7
