Answer:
The answer is 80%.
Step-by-step explanation:
During a certain day, a worker made 81 parts.
He usually does 45 parts per day.
Number of extra parts made = 
The percent by which he increased the number of parts he usually makes can be given as = 
= 80%
Therefore, on that day, the percent increased by 80%.
tan x = sin x/cos x
cos³ x *tan²x - cos x = cos³x *(sin²x/ cos² x) - cos= cosx*sin²x - cos x =
= cos x(sin² x - 1) = - cos x(1 - sin²x)= - cosx*cos²x = - cos³ x
Answer is C, 1/4 left to drink. 6/8 reduces to 3/4, so 3/4 + 1/4 = 1 whole, or 8/8
Answer: 0.0010
Step-by-step explanation:
Given the following :
Population Mean(m) = 4.2 years
Sample mean (s) = 3.9
Standard deviation (sd) = 0.6
Number of samples (n) = 38
Calculate the test statistic (z) :
(sample mean - population mean) / (sd / √n)
Z = (3.9 - 4.2) / (0.6 / √38)
Z = (- 0.3) / (0.6 / 6.1644140)
Z = -0.3 / 0.0973328
Z = - 3.0822086
Z = - 3.08
From the z table :
P(Z ≤ - 3.08) = 0.0010
It's just an equation, the number you're looking for is X, and then turn the words into an solvable equation with respect to X.
7X + 3 = 39 - 2X
9X = 39 -3 = 36
X = 4
