the answer to your question would be D
A)
y = mx + c
<span>y = 1x + 3
</span>
<span>y = x + 3
</span>
b)
y = 2x ? 5 comparing to y = mx + c, slope = m
slope = 2.
But for a perpendicular line, we take the negative reciprocal,
= -1/2 = -1/2
It is a right triangle
cos 58 = 20/length of rope
length of rope = 20/cos 58 degrees
= 37.74 feet
Answer:
0.7698
Step-by-step explanation:
If you call your random variable
, then what you are looking for is

because you want the probability of
being <em>between 87 and 123.</em>
We need a table with of the normal distribution. But we can only find the table with
and
. Because of that, first we need to <em>normalize </em>our random variable:

(you can always normalize your variable following the same formula!)
now we can do something similar to our limits, to get a better expression:


And we transform our problem to a simpler one:
(see Figure 1)
From our table we can see that
(this is represented in figure 2).
Remember that the whole area below the curve is exactly 1. So we can conclude that
(because 0.8849 + 0.1151 = 1). We also know the normal distribution is symmetric, then
.
FINALLY:

Answer:
1000 MM is the greatest
Step-by-step explanation:
1000 MM to CM = 100
9.7 CM and 4.7 CM are too small, therefore, we ignore them..
450 MM to CM is 45, therefore 1000 MM is the greater length