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vredina [299]
4 years ago
15

the faces of a number cube are numbered 1 through 6. Event A= {rolling a 1, 2, or 3}. what is the complement of event A?

Mathematics
2 answers:
Marianna [84]4 years ago
7 0
Like the complement of the probability? If that's the case, we have Event A Probability = 1/2, so it would be 1/2 that's the answer...otherwise...more details please.
dexar [7]4 years ago
7 0

Answer:

The complement of event A is:

Event A' = {rolling a 4, 5, or 6}

Step-by-step explanation:

The complement of an event A is all the posibles cases in which there is not an element of event A.

So, In this case we have 6 posibles elements: rolling a 1, 2, 3, 4, 5 or 6.

The complement of event A={rolling a 1, 2, or 3} is the event in which the number cube doesn't get 1, 2 or 3. That happens when it is rolling 4, 5 or 6 . Then, the complement of Event A that we are going to call A' is:

Event A'= {rolling a 4, 5, or 6}

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emmasim [6.3K]

Answer:

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  II. 4.0474%

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Step-by-step explanation:

I. The expression is ...

  APY = (1 +r/n)^n -1

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II–IV. See the attached. (When calculations are tedious and repetitive, a spreadsheet is helpful.)

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3 years ago
What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –(x – 6) and passes through
Sever21 [200]
That line is in point-slope form:

\sf y-y_1=m(x-x_1)

Where 'm' is the slope and (x1, y1) is a point on the line.

Perpendicular lines have opposite slopes. To get the opposite, we take the reciprocal and multiply it by -1.

\sf -1

Reciprocal:

\sf -\dfrac{1}{1}\rightarrow -\dfrac{1}{1}\rightarrow -1

Multiply by -1:

\sf 1

We can plug this slope and the point into point-slope form, and then convert it to slope-intercept form.

\sf y-y_1=m(x-x_1)

\sf y-(-2)=1(x-(-2))

Negatives cancel out:

\sf y+2=1(x+2)

Distribute 1 into the parenthesis:

\sf y+2=x+2

Subtract 2 to both sides:

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8 0
3 years ago
For any value of x, the sum <br> 3<br> ∑ k(2x-1) <br> k=0<br> is equivalent to
MArishka [77]

The equivalent value of the sum for any value of "x" is 12x - 6

<h3>How to find the sum of functions?</h3>

Given the sum of the expression as:

3

∑ k(2x-1)

k=0

We need to take the sum of the function at the point where k = 0 to 3

3

∑ k(2x-1) = 0(2x-1) + 1(2x - 1) + 2(2x-1) + 3(2x - 1)

k=0

3

∑ k(2x-1) = 2x-1+4x-2+6x-3

k=0

3

∑ k(2x-1) = 12x - 6

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Hence the equivalent value of the sum for any value of "x" is 12x - 6

Learn more on sum functions here: brainly.com/question/24295771

8 0
2 years ago
Written as a simplified polynomial in standard form, what is the result when
wlad13 [49]

Answer:

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4 0
3 years ago
In ΔGHI, g = 96 cm, ∠G=53° and ∠H=90°. Find the length of i, to the nearest 10th of a centimeter.
kherson [118]

Answer:

I = 72 cm approximately

Step-by-step explanation:

ΔGHI is a right angle triangle because,

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Tan ∠i = opposite/adjacent

Tan 37 = I/96

0.7536 *96 = I

72.3456 = I

I = 72 cm approximately

3 0
4 years ago
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