Answer:
And we can find this probability with thie difference:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with thie difference:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
Answer: x<-1/4
Step-by-step explanation:
Given
-3/x<12
Multiply x on both sides
-3/x · x<12 · x
-3<12x
Divide 12 on both sides
-3 / 12 < 12x / 12
<h2>-1/4<x</h2>
Answer: The correct option is (D) pie.
Step-by-step explanation: We are to select the correct number that produces an irrational number when multiplied by pie.
We know that if one of number is a non-zero rational number, then for the product to be irrational, we must have the other number irrational.
Give number is 2/5, which is rational. So the other number must be irrational.
Out of the given options, first three numbers are rational.
Only the last number pie is irrational. Because, the digits after the decimal are non-repeating and non-terminating.
So, the product will be irrational, if the other number is pie.
Thus, the correct option is (D).
Answer:
The height of the larger pyramid is 5/m
The volume is proportional to the cube of the height
Step-by-step explanation <em>Thus 3^3: 27h^3 : 125 h = 5m</em>
<em>MARK BRAINLIEST >33 ~BRIANA</em>