Suppose that IQ scores in one region are normally distributed with a standard deviation of . Suppose also that exactly of the in
1 answer:
Answer: Hello your question is poorly written attached below is the complete question
answer : 101.8
Step-by-step explanation:
Given data :
Standard deviation ( б ) = 14
55% have IQ scores > 100
45% have IQ scores < 100
<u>Determine the mean IQ score for the region</u>
P ( X > x ) =
P ( Z ≥ ( 100 - μ ) / 14 ) = 0.55 also
P ( Z ≤ ( 100 - μ ) / 14 ) = 0.45
<em>using standard normal calculator </em>
100 - μ / 14 = Z₀.₄₅ = - 0.126
<em>resolving the relation above</em>
100 - μ / 14 = - 0.126
μ = 100 - 14 ( -0.126 )
= 101.764 ≈ 101.8
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The negitives are far from the 0 so its less than the non negitives
Answer:
The domain of f(x) is {x : x ∈ R} and the range is {y : y ≥ -8}
Step-by-step explanation:
- The domain of the function is the values of x which make the
function defined
- The rang is the corresponding values of y with the domain
- The parent function of f(x) is g(x) = IxI
- The graph of this function represented by 2 lines starting from
the origin, one of them with positive slope and the other with negative
slope and both of them over the x-axis
- The Domain of g(x) is {x : x ∈ R} where R is the set of real numbers
- That mean the domain of g(x) is all real numbers
- The range of g(x) is {y : y ≥ 0}
- That mean the range is all real numbers greater than or equal to zero
- f(x) is the image of g(x) after some transformations
- g(x) multiplied by 2 that mean vertical stretch.
- Then x add by 2 that mean horizontal translation to the left by 2 units
- Then subtract 8 from it means vertical translation down by 8 units
- The figure of f(x) is the same lines but stretched vertically away from
x-axis and moved to the left 2 units and down 8 units
- That means the image of the origin is (-2 , -8)
- So the domain does not change it is the all real numbers
- The domain of f(x) is {x : x ∈ R}
- But the range changes is because the graph of the function starts
from -8 not from 0
- Then the range of f(x) is {y : y ≥ -8}
* The domain of f(x) is {x : x ∈ R} and the range is {y : y ≥ -8}
- <em>Look to the attached graph for more understand</em>
