Answer:
y=-1/2x-5
Step-by-step explanation:
Well we know that the slope is -1/2 so we can write the equation like this:
y=-1/2x+b (This is because of y=mx+b) (m is slope) (b is y-intercept)
Now we can replace the y and x with -4 and -3 because of (x,y). (-4,-3) x is -4 and y is -3
-3=-1/2(-4)+b
-3=2+b
Subtract 2 on both side:
-2-3=2-2+b
-5=b
Answer:
y=-1/2x-5
Hope this helps!
Answer:
0.0713 = 7.13% probability that the result is positive.
Step-by-step explanation:
Probability of a positive test:
91% of 1/650(has the disease).
7% of 1 - 1/650 = 649/650(does not have the disease). So

0.0713 = 7.13% probability that the result is positive.
Answer:
x = 15
Step-by-step explanation:
The segment that is x units long is the midsegment of the largest triangle. The midsegment is half as long as the line parallel to the midsegment. It is half as long as the 30 unit long segment.
Note how the vertical sides (marked with the double tickmarks) are congruent to one another. The smaller pieces are both the same length, so they combine to something twice as big. Go in reverse: one segment with a pair of double tickmarks is exactly half as long as the entire vertical side. The same can be said about the horizontal sides as well.
A
this is a geometric sequence since there exists a common ratio r between the terms
r =
=
=
= 3
B
to obtain the next term in the sequence multiply the previous term by 3
= 3
← recursive rule
C
the n th term of a geometric sequence is
=

where
is the first term in the sequence
= 7 ×
← explicit rule