Answer:
Step-by-step explanation:
8/12
x = number of hours
want to find probability (P) x >= 13
x is N(14,1) transform to N(0,1) using z = (x - mean) / standard deviation so can look up probability using standard normal probability table.
P(x >= 13) = P( z > (13 - 14)/1) = P(z > -1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
To convert that to percentage, multiply 100, to get 84.13%
Answer:
The line slopes upwards from left to right wit a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2
Step-by-step explanation:
We first rearrange the equation to the order y=mx+c where m is the gradient and c the y intercept.
3y=4x+6
y=(4/3)x+2
The gradient is therefore 4/3 and the y intercept is 2.
At the c intercept, y=0
0=(4/3)x +2
(4/3)x=-2
x=-2×3/4
=3/2
The line slopes upwards from left to right with a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2
Answer:
D
Step-by-step explanation:
According to remainder theorem, you can know the remainder of these polynomials if you plug in x = -6 into them.
<em>So we will plug in -6 into x of all the polynomials ( A through D) and see which one equals -3.</em>
<em />
<em>For A:</em>
For B:
For C:
For D:
The only function that has a remainder of -3 when divided by x + 6 is the fourth one, answer choice D.
Answer:
C
Step-by-step explanation:
1/4= 0.25
