Let X be the national sat score. X follows normal distribution with mean μ =1028, standard deviation σ = 92
The 90th percentile score is nothing but the x value for which area below x is 90%.
To find 90th percentile we will find find z score such that probability below z is 0.9
P(Z <z) = 0.9
Using excel function to find z score corresponding to probability 0.9 is
z = NORM.S.INV(0.9) = 1.28
z =1.28
Now convert z score into x value using the formula
x = z *σ + μ
x = 1.28 * 92 + 1028
x = 1145.76
The 90th percentile score value is 1145.76
The probability that randomly selected score exceeds 1200 is
P(X > 1200)
Z score corresponding to x=1200 is
z = 
z = 
z = 1.8695 ~ 1.87
P(Z > 1.87 ) = 1 - P(Z < 1.87)
Using z-score table to find probability z < 1.87
P(Z < 1.87) = 0.9693
P(Z > 1.87) = 1 - 0.9693
P(Z > 1.87) = 0.0307
The probability that a randomly selected score exceeds 1200 is 0.0307
Answer:
What is the most common month? That is the answer
Step-by-step explanation:
The first step of simplifying the expression would be summing up the "i"s. They are separate ("+i" and "+5i") but you can still sum them up though they are apart. This is thanks to the commutative property of addition which allows summing the terms of an expression with several additions in whatever order it is prefered. Commutative means that the terms can be interchangeable.
Answer:
The correct answer is option C.
Sin 45 degrees = square root of 2 divided by 2, cos 45 degrees = square root of 2 divided by 2, tan 45 degrees = 1
Step-by-step explanation:
The sin cos tan table used to calculate values of the ratios for different angles can be used for the values.
The table is easily available on the internet.
WE can use a a right-angles isosceles triangle to find the exact values for the angle 45.
The equal sides have length 1. So the thirs side using the pythagoras theorem will be √2.
So
Sin 45 = √2/2
Cos 45 = √2/2
and
Tan 45 = 1
So the correct option is C.
Answer:
a
Step-by-step explanation:
Given:
triangle XYZ is rotated by a composition of 50°+40°=90° both about point y
Now when a geometrical figure is rotated by any degree then its shape or size does not change and remain same.
As the triangle is rotated clockwise by 90 degrees about point y then diagram attached is formed .
option a is correct.