Which statement does not describe the sine function?
2 answers:
Answer:
Step-by-step explanation:
A is correct. csc x = 1/ sin x
B is correct. y = sin x is a continuous funtion, for all real numbers, x
C is correct. The function y = sin x is a periodic function, and the cycle repeats every 2 radians (or 360°).
D is incorrect. It doesn't actually say anything false, but it does not accurately describe the behavior of the sine function. Look at the graphic I have attached. If you start at the origin, you see y = 0, then increases to 1 when x = π/2, <u>then decreases back to zero when x = π,</u> then decreases even more to -1 when x = 3π/2, then increases back up to zero when x = 2π.
Answer D leaves out the underlined part.
Hope this helps.
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Step-by-step explanation:
The plumber's daily earnings have a mean of $145 per day with a standard deviation of
$16.50.
We want to find the probability that the plumber earns between $135 and
$175 on a given day, if the daily earnings follow a normal distribution.
That is we want to find P(135 <X<175).
Let us convert to z-scores using
This means that:
We simplify to get:
From the standard n normal distribution table,
P(z<1.82)=0.9656
P(z<-0.61)=0.2709
To find the area between the two z-scores, we subtract to obtain:
P(-0.61<z<1.82)=0.9656-0.2709=0.6947
This means that:
The correct choice is C.