Scores on the Wechsler intelligence quotient (IQ) test for adults have a normal probability distribution with a mean score of 10
1 answer:
Answer:
Probability = 0.1587
Step-by-step explanation:
The provided information is:
Let X be the scores of the IQ test for adults that is normally distributed with mean = 100 and standard deviation
= 15.
Also, US military has minimum IQ score of 85.
Thus, the probability that randomly selected adult does not meet US military enlistment standards is:
The probability can also be written as:
Thus,
Using the Normal probability table probability of Z = -1 is 0.1587
Thus, the required probability is 0.1587
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The possible zeros of f(x) = 3x^6 + 4x^3 -2x^2 + 4 are
The function is given as:
f(x) = 3x^6 + 4x^3 -2x^2 + 4
The leading coefficient of the function is:
p = 3
The constant term is
q = 4
Take the factors of the above terms
p = 1 and 3
q = 1, 2 and 4
The possible zeros are then calculated as:
So, we have:
Expand
Solve
Hence, the possible zeros of f(x) = 3x^6 + 4x^3 -2x^2 + 4 are
Read more about rational root theorem at:
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This question is incomplete, the complete question is;
Find the gradient of the function g(x,y)= xy² at the point (5, - 1). Then sketch the gradient together with the level curve that passes through the point.
First find the gradient vector at (5, - 1).
Vg(5,- 1) = [ ]i - [ ]j (Simplify your answers.)
Choose the graph that shows the level curve and the gradient vector at (5, - 1).
options of the sketched graphs are uploaded along this answers
Answer:
Vg(5,- 1) = [ 1 ]i - [ 10 ]j
Option A is the correct graph for this Level
Step-by-step explanation:
Given that;
g(x,y) = xy²
we have to find gradient of this function at ( 5, -1 )
so
Δg(x,y) = dg/dx + dg/dy
d(g)/dx = y² , dg/dy = 2gx
therefore
Δg(x,y) = [y²]i + [2yx]j
Δ( 5, -1) = [-1²]i + [2×-1 ×5]j
=Δ(5, -1) = 1i - 10j
[ 1 ]i - [ 10 ]j
Therefore Option A is the correct graph for this Level
