Apologies if it’s dark but here’s the work for your question. If you need an explanation, let me know.
Answer: Seventh power of 10
Step-by-step explanation:
X > 1 so exponent will be positive and decimal point moves left. At each point divide X by 10, add 1 to exponent of 10. Exponent starts at zero.
Each time you move the decimal point one to left, you have divided the number by 10, so you have to compensate by multiplying the 10^n factor by 10, say 10 × 10^3 = 10×10×10×10 = 10^4.
12345678 = 12345678 × 10^0
= 1234567.8 × 10^1
= 123456.78 × 10^2
= 12345.678 × 10^3
= 1234.5678 × 10^4
= 123.45678 × 10^5
= 12.345678 × 10^6
= 1.2345678 × 10^7
Each time you move decimal to right, you have multiplied the number by 10, so you have to compensate by dividing the 10^n by 10, subtracting one from exponent.
0.000123 × 10^0 = 0.00123 × 10^-1
= 0.0123 × 10^-2 = 0.123 × 10^-3 = 1.23 × 10^-4
10^-2 / 10 = (1/(10×10)) / 10 = 1/(10×10×10) = 10^-3
(1454.625 mles)/(4.5 tanks) = 323.25 miles/tank
He gets 323.25 miles on a single tank of gas.
Answer:
2/14
Step-by-step explanation:
There are 14 letters in all of the boxes combined and only 2 of those letters are A.
Answer:
Binomial distribution because:
Trials are Bernoulli (affected or not)
Probability is known (p=0.05) and remains constant for all trials.
Number of trials is known (n=6).
P(x)=C(n,x)p^x*(1-p)^(n-x)
x=0 =>
P(0)=C(6,0)(0.05^0)(0.95^6)
=0.7351.... (approximately)
