The mathematical expression of the given above,
logb (13/74)^1/2
Distribute the exponent to both numerator and denominator.
logb (13^1/2 / 74^1/2)
To simplify, multiply the exponent to the expression and since it is division it may be expressed as difference of two logarithms.
(1/2)(logb 13) - (1/2)(log 74)
11x11=121
$140-121=19
19/7=
It would take approximately 2hours and 71 minutes to meet her requirements.
Answer:
0.45134
Step-by-step explanation:
Given that :
p = 0.6
n = 400
Probability that sample. Proportion falls between 0.59 and 0.62
Using Normal approximation :
Mean (m) = n * p = 400 * 0.6 = 240
Standard deviation (s) = sqrt(pq/n)
q = 1 - p = 1 - 0.6 = 0.4
s = sqrt((0.6 * 0.4) / 400) = 0.0244948
P(0.59 < p < 0.62) :
(x - m) / s
P((0.59 - 0.6) / 0.0244948) < p < P((0.62 - 0.6) / 0.0244948)
P(Z < −0.408249) < p < P(Z < 0.8164998)
Using the Z probability calculator :
0.79289 - 0.34155 = 0.45134
Answer:
1/4
Step-by-step explanation:
Since on this spinner, there are 2 odd numbers, 2 even numbers, and 4 numbers in total, for the both spins there is a 1/2 probability that you land on the desired outcome. 1/2*1/2=1/4. Hope this helps!
4x2=8 then multiply it by 3 to find how much the aquarium can hold which would be 24 of how much water