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snow_tiger [21]
3 years ago
6

To win at LOTTO in one state, one must correctly select 6 numbers from a collection of 62 numbers (1 through 62). The order in w

hich the selection is made does not matter. How many different selections are possible? ...?
Mathematics
1 answer:
marissa [1.9K]3 years ago
5 0
We can use the concept of combinations for this particular problem since it was clearly stated that the order in which the selection is made does not matter. By using a calculator, we can obtain the value of 62C6 of 61474519. So, there are 61474519 possible different selections. 
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What is the equation for this line
pogonyaev

The equation of the line is y=\frac{-1}{5} x-\frac{21}{5}.

Solution:

The points on the line are (–6, –3) and (4, –5).

 x_{1}=-6, y_{1}=-3, x_{2}=4, y_{2}=-5

Slope of the line:

 $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

 $m=\frac{-5-(-3)}{4-(-6)}

 $m=\frac{-5+3}{4+6}

$m=\frac{-2}{10}

$m=\frac{-1}{5}

Point-slope formula:

 y-y_{1}=m\left(x-x_{1}\right)

 $y-(-3)=\frac{-1}{5}(x-(-6))

 $y+3=\frac{-1}{5}(x+6)

 $y+3=\frac{-1}{5} x-\frac{6}{5}

Subtract 3 from both sides of the equation.

$y=\frac{-1}{5} x-\frac{21}{5}

The equation of the line is  y=\frac{-1}{5} x-\frac{21}{5}.

6 0
3 years ago
Help!! Ill give 100 points!
Volgvan

Answer:

It will take about half an hour more for maria to finish his/her project than Juan.

Step-by-step explanation:

9/10 > 2/6

=> 54/60 > 20/60

=> 34/60

Therefore, it will take about half an hour more for maria to finish his/her project than Juan.

Hoped this helped.

5 0
3 years ago
Read 2 more answers
Which expression is equivalent to 18c-6d? A: 2(9c-6d)
MakcuM [25]

Answer: answer is C because if you do 2x9 abd 2x3 you 18c-6d and you cant subtract thise cause they have different variables

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
What is the area of this figure?
s2008m [1.1K]

Step-by-step explanation:

it clearly consists of 2 rectangles and 1 triangle (as you tried correctly to point out by drawing the separating lines).

we only need to calculate all 3 areas and add them up for the total.

the area of a rectangle is

length × width

so, in our 2 cases we have

6 × 2 = 12 km²

5 × (3 + 2 + 3) = 5×8 = 40 km²

the area of a triangle is

baseline × height / 2

in case of a right-angled triangle the 2 sides enclosing the 90° angle can be used as baseline and height.

so, in our case

6 × (5 + 2 + (3 + 2 + 3 - 2)) / 2 = 6×(7 + 6)/2 = 3×13 = 39 km²

in total, the whole area is

12 + 40 + 39 = 91 km²

4 0
2 years ago
The base of a ladder is 10 feet away from a vertical building. The ladder top rests at the top of the building. The ladder's ang
lidiya [134]

Answer:

I don't know, but you got this!

3 0
3 years ago
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