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2 years ago

1.) There are 16 juniors and 8 seniors in the Chess Club. If the club

Mathematics

1 answer:

Lena [83]2 years ago

7 0

Answer:

1.) There are 16 juniors and 8 seniors in the Chess Club. If the club members decide to send 9 juniors to a tournament, how many different possibilities are there?

(16 over 9) = 16!/(9!*7!) = 11440

2.) How many different ways can 3 cards be drawn from a deck of 52 cards without replacement?

52*51*50 = 132600

3.) How many different ways can 3 cards be drawn from a deck of 52 cards with replacement?

52^3 = 140608

4.) A corporation has 5 officers to choose from which 3 are selected to comprise the board of directors. How many combinations are there?

(5 over 3) = 5!/(3! * 2!) = 10

5.) A combination lock has the numbers 1 to 40 on each of three consecutive tumblers. What is the probability of opening the lock in ten tries?

10/40^3 = 1/6400

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6392094003 word farm

makvit [3.9K]

Six billion three hundred ninety-two million ninety-four thousand and three
Happy studying ^-^

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2 years ago

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Evaluate the function for the indicated input

Ilya [14]

$f(0)=0^2+0-6=\boxed{-6}$ .

Hope this helps.

4 0

2 years ago

What is the equation of the line that has a slope of m = 2 and passes through the point (-5, -6)?

Alenkinab [10]

Answer:

$y=2x+4$

Step-by-step explanation:

You can solve this two ways: insert the values into point-slope form and simplify to solve for y, converting it to slope-intercept form, or insert the values into slope-intercept form, solve for b, and insert b. We'll do both :)

Point-slope form:

$y-y_{1}=m(x-x_{1})$

Where:

$m$ is the slope

$x_{1}$ and $y_{1}$ are corresponding coordinate points $(x,y)$

Insert the given values:

$m=2\\\\(-5_{x_{1}},-6_{y_{1}})\\\\y-(-6)=2(x-(-5))\\\\y+6=2(x+5)$

Solve for y. Expand the right sie using the distributive property:

$y+6=2(x)+2(5)\\\\y+6=2x+10$

Isolate the variable. Subtract 6 from both sides, canceling out the 6 on the left:

$y+6-6=2x+10-6\\\\y=2x+4$

OR

Slope-intercept form:

$y=mx+b$

Where:

$m$ is the slope
$b$ is the y-intercept
$x$ and $y$ are corresponding coordinate points $(x,y)$

Insert the given values:

$m=2\\\\(-5_{x},-6_{y})\\\\-6=2(-5)+b$

Simplify the multiplication:

$-6=-10+b$

Solve for b. Add 10 to both sides, canceling out the 10 on the right:

$-6+10=-10+10+b\\\\4=b$

The value of b is 4. Insert the appropriate information into the equation. When using slope-intercept form, you don't plug in the coordinate points:

$y=2x+4$

:Done

4 0

2 years ago

Anyone help with this question please..

STALIN [3.7K]

Answer:

x>3

Step-by-step explanation:

then reason is x is the black bold line and x the line is larger than 3 so the equation is x>3

pls brainliest

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2 years ago

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Find the missing length the triangles are similar.

ch4aika [34]

Answer:

Step-by-step explanation:

The missing length is 13 because,

Lets say the top triangle is A and the bottom triangle is B.

Triangle A gives us the side GF, and Triangle B gives us the sides TU and ST. Since the triangles are similar(as stated in the problem), we can pair 2 sides GF(A) and TU(B) which is 11:22.(one way I usually figure which sides are similar is by first- matching the hypotenuse, then checking which of the remaining two is longer.. if that made any sense). You can see that their relationship is x2 or /2 (In another word, from A to B is multiplication- ex: 11 * 2 is 22, and from B to A is division- ex 22/2 is 11.) Since the missing number is the hypotenuse of triangle A and you know the Hypotenuse of triangle B all you have to do is divide side TS by 2 to get side SF. So the missing side is 13.

Answer: 13

8 0

2 years ago