Answer:
x = 3
Step-by-step explanation:
Given
f(x) = - 10x + 45 and f(x) = 15, then equating gives
- 10x + 45 = 15 ( subtract 45 from both sides )
- 10x = - 30 ( divide both sides by - 10 )
x = 3
Step-by-step answer:
standard deviation (sigma) = 12 inches
mean (mu) = 90 inches.
For 36 years, the standard error of the mean is
e = sigma / sqrt(n) = 12" / sqrt(36) = 2".
Deviation from the mean
= 92.8 -90 = 2.8
Since the standard error of the mean follows the normal distribution, we have
Z=(92.8-90)/2 = 1.4
Looking up the normal distribution tables, or check R, we find
P(Z>1.4) = 1-P(Z<1.4) = 1-0.9192433 = 0.08075666
Answer: P(snowfall>92.8) = 0.0808 (to four decimal places)
Answer: 1/3
Step-by-step explanation: 2/6 = 1/3
Answer:
See steps below
Step-by-step explanation:
We need to work with each side of the equation at a time:
Left hand side:
Write all factors using the basic trig functions "sin" and "cos" exclusively:
now, let's work on the right side, having in mind the following identities:
a) 
b) 
c) 
Then replacing we get:
Therefore, we have proved that the two expressions are equal.
