Answer: Point R will be at the number 8 on the number line.
From -8 to 12, there are 20 numbers. If we want to get a ratio of 4:1, we need to have 5 equal sections.
20 / 5 = 4
Since the ratio is 4:1 to R, we need to move 4 x 4 = 16 spaces from -8.
-8 + 16 = 8
Look for the equation that gives you a value of 8.
Answer: A) 71.498 ; b) 0.00152
Step-by-step explanation:
Given the following :
Number of atoms that decayed during 365 days period = 26,097
Number of days = 365
Mean number of radioactive atoms that decayed in a day:
Mean = number of decayed atoms / number rof days
Mean = 26,097 / 365
Mean = 71.498 atoms per day
B.) probability that 50 radioactive atoms decayed in a given day:
Using the poisson distribution formula :
P(x =x) = (m^x * e^-m) ÷ x!
Where m = mean
Mean (m) = 71.498
P(x = 50) = (71.498^50 * e^-71.498) / 50!
P(x = 50) = (71.498^50 * 2.7182818^-71.498) / 50!
= 4.60795E61 / 50!
= 0.0015150
<u><em>Answer:</em></u>x = 7
MN (first base) = 17 units
OP (second base) = 21 units
QR (median) = 19 units
<u><em>Explanation:</em></u>In a trapezium, the length of the median is equal to half the sum of the two bases.
<u>From the given, we have:</u>
MN (first base) = 17 units
OP (second base) = 5x - 14 units
QR (median) = x + 12 units
<u>Applying the above rule:</u>
median = 0.5 (first base + second base)
x + 12 = 0.5 (17+5x-14)
2(x+12) = 17+5x-14
2x + 24 = 3 + 5x
24-3 = 5x-2x
21 = 3x
x =

x = 7
<u>Based on the above, the lengths would be:</u>
MN (first base) = 17 units
OP (second base) = 5x - 14 = 5(7) - 14 = 21 units
QR (median) = x + 12 = 7 + 12 = 19 units
Hope this helps :)