Answer:
Step-by-step explanation:
Here X no of defective batteries is binomial with p = 1% = 0.01
q = 1-p=0.99
(Because each battery is independent and there are only two outcomes)
Prob that shipment is accepted is for n =36, 
=P(x=0,1,2)
= 
= 0.9944
Answer:
1/3 cups of vanilla per teaspoon
Step-by-step explanation:
Answer:
Step-by-step explanation:
One of the important things to remember about parabolas is that the vertex is directly in between the focus and the directrix. Our focus is at (4, 0) and the directrix is at (-4, 0), so that means that the vertex (h, k) is at the origin (0, 0). Another important thing to remember is that the distance between either the vertex and the focus or the vertex and the directrix is the p value, the value that tells us how stretched or compressed the parabola is. Another thing to remember is that a parabola will always wrap itself around the focus away from the directrix. So here's what we know then:
Our parabola opens to the right, the equation for that is
,
p = 4, and the vertex is (0, 0). Filling in the formula for the parabola using that info:
which simplifies a bit to
and solving it for x:

Answer:
length = 8m
width = 4m
Step-by-step explanation:
The perimeter of a rectangle is the formula: P = 2w + 2l, where 'w' is equal to the width and 'l' is equal to the length. In this case, the width can be expressed as 'w' and the length, which is '4 meters longer than its width' would be 'w +4'. So, when you put these expressions into the equation:
P = 2w + 2(w +4)
P = 2w + 2w + 8 or 4w + 8
Since perimeter = 24m, plug it in and solve for 'w':
24 = 4w + 8
Subtract 8 from both sides: 24 - 8 = 4w + 8 - 8 or 16 = 4w
Solve for w: w = 4m
Solve for l: l = w + 4 or 4+4, so l = 8m