Answer:-8/3
Step-by-step explanation:
given xy/3
putting vales of x and y
(-2)(4)/3
-8/3
Answer:
0.749
Step-by-step explanation:
We start by calculating the z-score
Mathematically:
z-score = (x-mean)/SD
z-score = (75-77)/3 = -2/3 = -0.67
The probability we want to calculate is;
P( X > -0.67)
we can use the standard normal distribution table for this
Using this table, the probability has a value 0.74857 which is 0.749 to the nearest thousandth
The team scored twenty-three points in total.
This word sum can be worked out as follows:
Three field goals worth three points each is equal to nine points (3 x 3 = 9).
Two touchdowns were scored; each touchdown is worth six points. This equals twelve points (2 x 6 = 12).
Lastly, the team was awarded a bonus point for each touchdown they scored. They scored two touchdowns so they were awarded two extra points (2 x 1 = 2).
Therefore, we have three subtotals: nine for the field goals; twelve for the touchdowns and two for the bonus points. The equation for this word sum is 9 + 12 + 2 = 23
The answers are:
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[B]: "√12 " ; AND:
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[D]: "<span>√20" .
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Note: "Irrational numbers" have decimals that are: 1) non-terminating; AND: 2) non-repeating.
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Consider the answer choices given; and consider the given information that there "should be no more than one answer.
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Consider the following answer choices:
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Choice A) "</span><span>√9" = 3 . Rule out this choice.
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Choice C) "</span><span>√16" = 4 . Rule out this choice.
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Choice E) "</span><span>√25" = 5. Rule out this choice.
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We are left with 2 (two) remaining answer choices:
[B]: "</span>√12" ; and: [D]: "<span>√20" .
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If there are more than one answer, then these two choices should be the correct answer. However, let us explore these two choices, using a calculator.
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[B]: </span>"√12" = 3.4641016151377546
[D]: "√20" = 4.4721359549995794
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These two answer choices should the correct answers.
As we observe clearly the problem given, it is clear that the order in which Debbie would choose the 3 books out of the total of 45 books is not important. This makes the problem an example of a Combination problem. The answer to this item is therefore letter B. C(45,3) read as <em>combination of 45 taken 3</em>.
