Answer:
<em>The distance of the line is 10.82</em>
Step-by-step explanation:
Distance Between two Points in the Plane
Given two points A(x1,y1) and B(x2,y2), the distance between them is:
The graph clearly shows the points (-5,4) (4,-2), thus the distance is:
The distance of the line is 10.82
X=-2 is the answer to your question.
Answer:
<h2>0.035</h2>
Step-by-step explanation:
This problem is on probabilty since there are a number of entries to be selected from which are 85 entries, the chances of winning one of the prices if selected is
the number of entries you have/ total number of entries
given that the total entry is 85
and that you have one entry
Since there are three gift baskets you have three chances to win one.
hence there will be a total of three draws, and after each draw, there won't be a replacement of the previous winner (as the winners are three distinct persons).
Hence the probability of winning a draw for the gift basket is
=1st draw+2nd draw+3rd draw
= 1/85+1/84+1/83
= 0.0117+0.0119+0.012
= 0.035
Determine the volume
The mayonnaise is sold per unit of volume (in³). Therefore we need to find the volume of the jar to determine the cost. The volume of the jar is equal to the volume of a cylinder.
v = π × r² × h
Input the numbers
v = 3.14 × (1.5)² × 7
v = 3.14 × 2.25 × 7
v = 49.445
The volume of the jar is 49.445 in³
Determine the cost
cost = volume in in³ × the cost per in³
cost = 49.445 × 0.08
cost = 3.9564
to the nearest hundredth
cost = 3.96
The cost of the jar of mayonnaise is $3.96
