Answer:
D) the spring has a length of 1 inch when no force is applied
Hello !
Here are some rules for logarithms : log ₐ b = n ⇔ aⁿ = b
log ₐ aⁿ = n
log ₐ (b·c) = logₐ b + log ₐ c
log ₐ bⁿ = n· log ₐ b ____________________________________________________
25=5²
625=5⁴
100 = 5² · 2²
____________________________________________________
(log₅ 25 + log₅ 625) / log₅100 =
(log₅ 5²+ log₅ 5⁴) / log₅ (5² · 2²) =
(log₅ 5²+ log₅ 5⁴) /( log₅ 5² + log₅ 2²) =
(2 + 4)/(2+log₅ 2² ) =
6/ (2+2·log₅2)=
6/2 + 6/ (2·log₅2) =
3+ 3/log₅2
log₅2 = 0.5
So 3+ 3/log₅2 = 3 + 3/0.5 =3 + 6 = 9
Answer : 9
If given a line in the slope-intercept form
y=mx+b
m is the slope and b is they y-intercept
Answer:
you need 45 nickels
Step-by-step explanation:
Answer:
0.1057
Step-by-step explanation:
We solve using z score formula.
z = (x-μ)/σ, where
x is the raw score = 57mm
μ is the population mean = 52mm
σ is the population standard deviation = 4mm
z = 57 - 52/4
z = 1.25
Probability value from Z-Table:
P(x<57) = 0.89435
P(x>57) = 1 - P(x<57)
1 - 0.89435
= 0.10565
Approximately = 0.1057
The probability that the diameter of a selected bearing is greater than 57 millimeters is 0.1057