Answer:
0.2416
Step-by-step explanation:
P(forgot to water | dead) = P(forgot and dead) / P(dead)
->With water it will die with probability 0.45
P(watered and dead) =0.83 x 0.45 = 0.3735
->Without water the plant will die with probability 0.7
P(forgot and dead) = (1-0.83) x 0.7 => 0.17 x 0.7 =>0.119
P(dead) = P(watered and dead) +P(forgot and dead)
P(dead) = 0.3735 + 0.119= 0.4925
P(forgot to water | dead) =0.119 / 0.4925= 0.2416
Therefore, the probability the neighbor forgot to water the plant is 0.2416
Divide both sides by -2
two negatives make a positive and that's true so x = 16/2 so divide it
x = 8 because 2 x 8 = 16 and 2/16 = 8 so true.
Answer: x = 8.
The form (x - p)^2 = q is the form that completing the square will leave us with.
---Add 5 to both sides
x^2 - 8x = 5
---Divide the b term by 2, and square it. Then, add that number to both sides.
-8/2 = -4
(-4)^2 = 16
x^2 - 8x + 16 = 5 + 16
x^2 - 8x + 16 = 21
---Factor!
(x - 4)^2 = 21
p = 4
q = 21
Hope this helps!! :)
Answer:
<u>Perimeter</u>:
= 58 m (approximate)
= 58.2066 or 58.21 m (exact)
<u>Area:</u>
= 208 m² (approximate)
= 210.0006 or 210 m² (exact)
Step-by-step explanation:
Given the following dimensions of a rectangle:
length (L) =
meters
width (W) =
meters
The formula for solving the perimeter of a rectangle is:
P = 2(L + W) or 2L + 2W
The formula for solving the area of a rectangle is:
A = L × W
<h2>Approximate Forms:</h2>
In order to determine the approximate perimeter, we must determine the perfect square that is close to the given dimensions.
13² = 169
14² = 196
15² = 225
16² = 256
Among the perfect squares provided, 16² = 256 is close to 252 (inside the given radical for the length), and 13² = 169 (inside the given radical for the width). We can use these values to approximate the perimeter and the area of the rectangle.
P = 2(L + W)
P = 2(13 + 16)
P = 58 m (approximate)
A = L × W
A = 13 × 16
A = 208 m² (approximate)
<h2>Exact Forms:</h2>
L =
meters = 15.8745 meters
W =
meters = 13.2288 meters
P = 2(L + W)
P = 2(15.8745 + 13.2288)
P = 2(29.1033)
P = 58.2066 or 58.21 m
A = L × W
A = 15.8745 × 13.2288
A = 210.0006 or 210 m²
Answer:
3
Step-by-step explanation:
2x^9 = 1
3x^6 = 2
- x - 20 = 3