Answer:
The Alan's average for course is 72.65.
Step-by-step explanation:
Given that,
Each test counts as 15% of the course grade. 20% of course grade is counted term test paper. Alan has test scores of 79, 95, 89, and 81. Alan got 81 score on his term paper . Alan's final examination score = 85.
![\sum w=1](https://tex.z-dn.net/?f=%5Csum%20w%3D1)
Let n number x₁,x₂,.......,
with respect to assigned weight
,
,.......,
is
![{\textrm{weighted mean}}= \frac{\sum w.x}{\sum w}](https://tex.z-dn.net/?f=%7B%5Ctextrm%7Bweighted%20mean%7D%7D%3D%20%5Cfrac%7B%5Csum%20w.x%7D%7B%5Csum%20w%7D)
Where
is the sum of the products the number with the relevant weight.
weighted mean ![=\frac{79\times 15\%+95 \times 15\%+89\times 15\%+81\times 20\%+85\times20\%}{1}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B79%5Ctimes%2015%5C%25%2B95%20%5Ctimes%2015%5C%25%2B89%5Ctimes%2015%5C%25%2B81%5Ctimes%2020%5C%25%2B85%5Ctimes20%5C%25%7D%7B1%7D)
=72.65
The Alan's average for course is 72.65.
We know that the shortest leg of the largest right triangle (hypotenuse length 16) has a length of the square root of (y^2 + 16) through the pythagoras theorem. We also know that x is equal to the square root of (144 + y^2) as well. Finally, we know that 256 = (y^2 + 16) + (y^2 + 144), since we use the pythagoras theorem one last time and square each of the values we have got for the two legs of the largest right triangle. Therefore, 256 = 2y^2 + 160, 96 = 2y^2, 48 = y^2, y= sqrt48 = 4sqrt3 =
![4\sqrt{3}](https://tex.z-dn.net/?f=4%5Csqrt%7B3%7D)
.
The minimum number of cards which must be drawn to get atleast 3 cards of aces is 4.
According to the given question.
We have a deck of cards.
As, we know that
The total numbers of cards in a deck = 52
Since, we have to find the minimum number of cards to be drawn so that we will get atleast 3 cards of aces.
As they have used atleast in the question so the cards can be more also so we have to reach at minimum number of cards to be drawn to guarantee atleast 3 cards of aces.
Number of suits in a standard deck= 4 (Clubs, Hearts, Diamond, Spades)
Number of aces in a suit = 1
We need atleast three cards of aces. Which means that we have 4*1 =4 cards from each suit.
Thereofre, the minimum number of cards which must be drawn to get atleast 3 cards of aces is 4.
Find out more information about cards and minimum numbers here:
brainly.com/question/28044662
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The statement which best explains whether the student is correct is: D. the student is completely incorrect because there is "no solution" to this inequality.
<h3>What is an inequality?</h3>
An inequality refers to a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
- Less than or equal to (≤).
- Greater than or equal to (≥).
Since |x-9| is greater than or equal (≥) to zero (0), we can logically infer that this student is completely incorrect because there is "no solution" to this inequality.
Read more on inequalities here: brainly.com/question/24372553
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<u>Complete Question:</u>
A student found the solution below for the given inequality.
|x-9|<-4
x-9>4 and x-9<-4
x>13 and x<5
Which of the following explains whether the student is correct?
A. The student is completely correct because the student correctly wrote and solved the compound inequality.
B. The student is partially correct because only one part of the compound inequality is written correctly.
C. The student is partially correct because the student should have written the statements using “or” instead of “and.”
D. The student is completely incorrect because there is “ no solution “ to this inequality.
Answer:
Noah because he is the alpha and he like to be dominated