Answer:
(a) 93.19%
(b) 267.3
Step-by-step explanation:
The population mean and standard deviation are given as 502 and 116 respectively.
Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.
(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

Thus, the required percentage is 93.19%
(b)
The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

So,
Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.
Is the answer 15? If not are there any options?
Answer:
-cot(x)
Step-by-step explanation:
tanx-(sec^2x / tanx)
Lets get a common denominator of tan
tan x * tan x/ tan -sec ^2 x/ tan x
tan ^2 x - sec ^2 x
---------------------------
tan x
We know than sec^2 - tan^2 =1 (trig identity) so factor out -1
-1(-tan ^2 x + sec ^2 x)
---------------------------
tan x
-1(1)
---------------------------
tan x
-1
----------
tan (x)
We know 1/ tan x = cot (x)
- cot(x)
Answer:
Permutation
Step-by-step explanation:
Since we are talking about passwords the order of the letters matters, i.e, the pasword UpT is different to the pasword pUT. Therefore, the problem involves all the permutations of 33 letters, from the given letters, where no repetitions of letters are allowed.
Answer:
Negative
Step-by-step explanation:
-5+(-2) = -7
-7 is negative.