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
The exact circumference of the circle is 
The approximate circumference of the circle is 
Explanation:
The diameter of the circle is 
Now, we shall find the circumference of the circle.
The formula to determine the circumference of the circle is given by

Where C is the circumference ,
is 3.14 and
is the diameter of the circle.
The exact circumference of the circle is given by

Multiply both numerator and denominator by 100, we get,

Converting
into mixed fraction, we get,

Thus, the exact circumference of the circle is 
The approximate value of the circumference can be determined by dividing the value 


Thus, the approximate circumference of the circle is 
Answer:
0.75 mg
Step-by-step explanation:
From the question given above the following data were obtained:
Original amount (N₀) = 1.5 mg
Half-life (t₁/₂) = 6 years
Time (t) = 6 years
Amount remaining (N) =.?
Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:
Half-life (t₁/₂) = 6 years
Time (t) = 6 years
Number of half-lives (n) =?
n = t / t₁/₂
n = 6/6
n = 1
Finally, we shall determine the amount of the sample remaining after 6 years (i.e 1 half-life) as follow:
Original amount (N₀) = 1.5 mg
Half-life (t₁/₂) = 6 years
Number of half-lives (n) = 1
Amount remaining (N) =.?
N = 1/2ⁿ × N₀
N = 1/2¹ × 1.5
N = 1/2 × 1.5
N = 0.5 × 1.5
N = 0.75 mg
Thus, 0.75 mg of the sample is remaining.
Answer:
270.00 divided by 32 = about $8.44
$9147 x 12 =190,764
12 is how many months there is in a year