Answer:
A) 99.7% of people have an IQ between 64 and 136.
B) 5% of people have an IQ score less than 76 or greater than 124.
C) 16% of people have an IQ score greater than 112.
Step-by-step explanation:
The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.
A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.
B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.
C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.
The factors of a polynomial function are the zeros of the function
It is true that x - 3 is a factor of m(x) = x^3 - x^2 - 5x - 3
<h3>How to show why the x - 3 is a factor</h3>
The function is given as:
m(x) = x^3 - x^2 - 5x - 3
The factor is given as:
x - 3
Set the factor to 0
x - 3 = 0
Solve for x
x = 3
Substitute 3 for x in the function
m(3) = 3^3 - 3^2 - 5(3) - 3
Evaluate
m(3) =0
Since the value of m(3) is 0, then x - 3 is a factor of m(x) = x^3 - x^2 - 5x - 3
Read more about factors at:
brainly.com/question/11579257
Answer:
<h2><u>111°</u></h2>
Step-by-step explanation:
Hi,
So lets answer this question;
Here we know that:
69° + z = 180° [Straight angle or Supplementary angle]
⇒ z = 180° - 69°
= <u>111°</u>
Answer:
So, equation using the given information
:
5 is subtracted from a number the result is the same as the number tripled will be: x-5=3x
Step-by-step explanation:
We need to make an equation of: 5 is subtracted from a number the result is the same as the number tripled.
Let, the number be x
5 is subtracted from a number will be: x-5
The number tripled will be: 3*x
The required equation will be:
x-5=3x
So, equation using the given information
:
5 is subtracted from a number the result is the same as the number tripled will be: x-5=3x