Easy, that is the slope from (2,f(2)) to (3,f(3))
remember that the slope between the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
find f(2) and f(3)
f(2)=2²+6(2)+5=4+12+5=21
f(3)=3²+6(3)+5=9+18+5=32
so the slope from (2,21) to (3,32) is (32-21)/(3-2)=11/1=11
answer is 11
Answer:
0.579 is the probability that a household has a VCR given they have a TV.
Step-by-step explanation:
We are given the following in the question:
Probability of all households have a TV = 88% = 0.88
Probability of all households have a TV and VCR = 51% = 0.51
We have to find the probability that a household has a VCR given they have a TV.
The conditional probability is given by:
0.579 is the probability that a household has a VCR given they have a TV.
Answer:
1/2
Step-by-step explanation:
Answer:
a = 8
b = 4√5
Step-by-step explanation:
Corresponding sides of similar triangles are proportional.
short side/long side = a/16 = 4/a
a² = 64 . . . . . . multiply by 16a
a = 8 . . . . . . take the square root
__
hypotenuse/short side = b/4 = 20/b
b² = 80 . . . . . . . multiply by 4b
b = 4√5 . . . . . take the square root
_____
<em>Additional comment</em>
These relations for the right triangle can be summarized by the rule "the length of a segment that touches the hypotenuse is the geometric mean of the two hypotenuse segments it touches." In the case of b, that means ...
b = √((4)(4+16)) = 4√5
The same sort of relation applies to the unmarked vertical segment on the left:
c = √((16)(16+4)) = 8√5
And, we saw ...
a = √((4)(16)) = 8
Of course, if this rule is to make sense, you need to know that the geometric mean of two numbers is the square root of their product. (In general, the geometric mean of n numbers is the n-th root of their product.)
