How to find out how many number combinations if numbers cannot repeat?
1 answer:
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The inequality is given by 20x + 25y ≤ 1100 and x + y > 50
<h3>What is an inequality?</h3>
An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let y represent the number of soccer balls and x represent the number of volleyballs.
The coach can spend a maximum of $1,100, hence:
20x + 25y ≤ 1100
Also, The coach plans to order at least 50, hence:
x + y > 50
The inequality is given by 20x + 25y ≤ 1100 and x + y > 50
Find out more on inequality at: brainly.com/question/24372553
Answer:
-8.8
Step-by-step explanation:
We begin by simplifying the parenthesis through multiplication. Parenthesis is a structure which signals multiplication happening.
We now begin combining like terms across the equal sign by performing the inverse or doing the opposite. Move first the 8.11 by subtracting it from both sides.
Now, move 4.3v across by subtracting it from both sides.
Finally, we divide both sides by the coefficient of v.
Answer:
So the value of height that separates the bottom 35% of data from the top 65% (Or the 35 percentile) is 146.7.
Step-by-step explanation:
1) 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".
2) Solution to the problem
Let X the random variable that represent the scores on the LSAT of a population, and for this case we know the distribution for X is given by:
Where and
We want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.35 of the area on the left and 0.65 of the area on the right it's z=-0.385. On this case P(Z<-0.385)=0.35 and P(Z>-0.385)=0.65
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value of height that separates the bottom 35% of data from the top 65% (Or the 35 percentile) is 146.7.