Step-by-step explanation:
please, be careful when writing the problem definition.
the formula is as I understand it from the definition
S = 93×log(d) + 65
with log being truly the logarithm to the base 10.
so, we have
150 = 93×log(d) + 65
85 = 93×log(d)
log(d) = 85/93
d = 10^(85/93) = 10^(0.913978495...) =
= 8.203109232... ≈ 8.2 miles
the tornado had traveled 8.2 miles.
Answer:
Grant's weekly allowance is $20.
Step-by-step explanation:
We know that Grant ended with $15. We can say that Grant's weekly allowance is x.
x/2 + 5 = 15
Now to solve:
x/2 + 5 - 5 = 15 - 5 (subtract 5 from both sides to isolate the x/2)
x/2 = 10
x/2 * 2 = 10 * 2 (multiply both sides by 2 to isolate the x)
x = 20
Grant's weekly allowance is $20.
We can solve this problem using the Triangle Inequality property. The Triangle Inequality property states that the sum of two sides of a triangle will always be greater than the third. That being said, the only answer that works is the last one, which has the answer of 9 cm, 15 cm, and 22 cm.
Answer:
The formula to calculate standard deviation from probability is \sqrt(n*p*(1-p)). n is the sample size, and 200 in this case (number of putts for practice). p is 80% or 0.8, the probability that he can make it. So the standard deviation is \sqrt(200*0.8*(1-0.8)=\sqrt(200*0.8*0.2)=\sqrt(16)=4.