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LuckyWell [14K]
3 years ago
11

There are ten candidates for a job. The search committee will choose three of them, and rank the chosen three from strongest to

weakest. How many different outcomes are possible
Mathematics
1 answer:
saul85 [17]3 years ago
8 0

Answer:

720

Step-by-step explanation:

Since we are choosing a subset of 3 people from a set of 10 people, and arranging the 3 people according to relative strength, the answer can be obtained by computing P(10,3).

 

 P(10,3)=10! / (10-3)!

= 10!/7!

Rewrite  10 !  as  

10 * 9  * 8  * 7 !  / 7!

Cancel the common factor of  7 !  and divide ( 10  * 9 * 8 ) by  1

10  * 9  * 8 = 720

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Line l has a _____ slope.<br> negative<br> 0<br> positive<br> undefined
Natasha2012 [34]

Answer:

positive

Step-by-step explanation:

negative slopes go from right to left; this line goes from left to right

0; the line isn't completely horizontal

undefined; the line isn't completely vertical

8 0
2 years ago
Read 2 more answers
What is the measure of x?
UkoKoshka [18]

Answer:

x=4

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+5) *x = 6^2

x^2 +5x = 36

Subtract 36 from each side

x^2 +5x - 36 = 0

Factor

( x-4) (x+9) = 0

Using the zero product property

x-4 = 0  x+9 =0

x = 4  x=-9

Cannot be negative since that is negative length

x=4

7 0
2 years ago
a line is perpendicular to y=-2x+5 and intersects the point (-4,2). what is the equation of this perpendicular line?
german

Answer:

y = 1/2x + 4

Step-by-step explanation:

If the line is perpendicular to y = -2x + 5 then the new line has a slope of 1/2.

So solve for b: using y = mx + b

2 = 1/2(-4) + b

2 = -2 + b

4 = b

Put it all together

y = 1/2x + 4

6 0
2 years ago
Can some one help plz
Naddika [18.5K]
The rectangle i would say is a parallelogram. Since a parallelogram has sides that are parallel which explains the name: parallelogram :) :D
5 0
2 years ago
Read 2 more answers
Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in stan
OlgaM077 [116]

Answer:

y = 1/2x + 5

Step-by-step explanation:

Given :

Slope, m = 1/2

(x1, y1) = (6, 8)

y - y1 = m(x - x1)

y - 8 = 1/2(x - 6)

y - 8 = 1/2x - 3

y - 8 + 8 = 1/2x - 3 + 8

y = 1/2x + 5

Stamdard form of equation :

y = mx + c

Hence, equation is :

y = 1/2x + 5

7 0
3 years ago
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