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Westkost [7]
3 years ago
11

At a private​ school, each​ first-year student is sorted into one of four houses. If 3 students are randomly selected from 15 av

ailable students, what is the probability that they are the three youngest students?
Mathematics
2 answers:
sdas [7]3 years ago
8 0

Answer:

The probability that they are the three youngest students is 0.002197.

Step-by-step explanation:

If 3 students are randomly selected from 15 available students, the probability that they are the three youngest students = 1 / 15C3

15C3=\frac{15!}{3!12!}

= 455

= \frac{1}{455}

= 0.002197

Paul [167]3 years ago
7 0
3% of 96% i think so
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Please help me im about to fail!!!! Express your answer in scientific notation.
Illusion [34]

Answer:

3.74 x 10^5

Step-by-step explanation:

First expand the term in scientific notation into normal notation.

3.3 x 10^5   -   Here the ^5 tells us to move the decimal five places to the right, so we go from

3.30000 to

330000.00

So 3.3 x 10^5 = 330,000

Now add that to 44,000 and you get 374,000.

Return this number to scientific notation.  Move the decimal back to its spot before the 3.  We go from

374,000.00 to

3.74000

Once again the decimal has moved five places, so that is the number in the exponent of the our scientific notation, and therefore our answer is

3.74 x 10^5

3 0
3 years ago
Simplify completely quantity 8 x minus 16 over quantity x squared minus 13 x plus 22 and find the restrictions on the variable.
Nostrana [21]

Answer:

hope this helps !

Step-by-step explanation:

1) ( 8 x- 16 ) / (x²- 13 x + 22 ) = ( 8 x- 16 ) ( x - 11) ( x -2 ) = 8 ( x-2) ( x-11) ( x- 2 ) = 8/(x-11)

Restriction x ≠ 11 & x ≠ 2

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5 0
2 years ago
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Alexandra [31]
3 dogs and 1 duck.....
4 0
4 years ago
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A line is parallel to y = 2x – 8 and
Naya [18.7K]

Answer:

y=2x+7

Step-by-step explanation:

When an equation is parallel to another, it shares the same slope.

Our original line is y=2x-8, and it is in slope-intercept form (y=mx+b)

This means that our slope is 2 because m represents the slope.

The slope of our parallel line will then also be 2.

<u>We can begin to plug that into point-slope form which is:</u>

y - y1 = m(x - x1)

This is where (x1, y1) is a point the line intersects, and m is the slope.

<u>Plugging in the slope, we'll have:</u>

y - y1 = 2(x - x1)

We also know it intersects the point (-4, -1)

We can plug this into our equation as well.

y - (-1) = m(x - (-4))

y+1=2(x+4)

<u>Now, we can simplify it into slope-intercept form:</u>

y+1=2(x+4)

Distribute

y+1=2x+8

Subtract 1 from both sides

y=2x+8-1

y=2x+7

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3 years ago
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