Answer:
Below in bold.
Step-by-step explanation:
The 2 points are (-2, 4) and (2, 2).
a. The slope = difference in y values / difference in x values
= (4 - 2) / (-2-2)
= 2 / -4
= -1/2.
b. The slope of a parallel line is the same so it's -1/2.
c. The relationship between perpendicular lines is as follows:
If the slope of a line = m then the slope of a perpendicular line is -1/m.
So here it is - 1 / -1/2
= -1 * -2
= 2.
Answer:
800
Step-by-step explanation:
Five students brought 8 boxes with 10 pencils each box
8×10×5 = 400
10 students brought 8 boxes with 5 pencils each.
10×8×5=400
Total pencils = 400 + 400 = 800 pencils
Remark
You are using the midpoint formula. Instead of finding the midpoint, you are looking for one of the points, so you have to rearrange the formula a little bit.
Givens
Midpoint (4,2)
One endpoint (6,1)
Object
Find the other endpoint.
Formula
m(x,y) = (x1 + x2)/2, (y1 + y2)/2)
Solution
Find the x value
4 = (6 + x2)/2 Multiply both sides by 2
4*2 = 6 + x2 Subtract 6 from both sides.
8 - 6 = x2
x2 = 2
Find the y value
2 = (1 + y2)/2 Multiply by 2
4 = 1 + y2 Subtract 1 from both sides.
4 - 1 = y2
y2 = 3
Conclusion
R(x,y) = (2,3)
Answer:
A) attached below
B) 0.61
C) 0.47
Step-by-step explanation:
Given data:
Total number of lizards infected = 38
Of the 15 species B lizards 40% survived
For specie C one more survived than died
Out of the 24 lizards that died 1/3 were species A
<u>A) contingency table </u>
attached below
<u>B) Determine the proportion of these lizards in this study that were either specie A or Specie B </u>
P ( A or B ) = ( 8 + 15 ) / 38 = 0.605 ≈ 0.61
<u>C) determine the probability that specie C lizard did not study </u>
P ( not surviving | C ) = 7 / 15 = 0.466 ≈ 0.47
Answer:
$1077.283
Step-by-step explanation:
When complete the first year the amount will be:
1000 * 1.015= 1015
1.015 because the rate is added to the initial amount, that is: 100%+1.5% = 1 + 0.015= 1.015
When complete the second year the amount will be the last year amount adding the rate interest:
1015*1.015=1030.225.
To the third year:
1030.225*1.015=1045.678
To the fourth year:
1045.678*1.015=1061.363
To the fifth year:
1061.363*1.015=1077.283