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3 years ago

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

Mathematics

1 answer:

Lena [83]3 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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Which equation would have real zero(s) corresponding to the x-intercept(s) of the graph below?

MA_775_DIABLO [31]

Answer:

Choice A.

$y = - {2}^{x} + 4$

Step-by-step explanation:

Use graphing calculator

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3 years ago

A gift box is a rectangular prism. The box measures 12 in by 14 in by 7 in.

Olin [163]

Answer:

1176

Step-by-step explanation:

12 times 7 equals 84.84 times 14 is 1176

4 0

3 years ago

Read 2 more answers

The length of a table is 8 times longer then it’s width. If the perimeter is 72, how wide is the table?

Andrews [41]

Answer:

4 units wide

Step-by-step explanation:

Let the width of the table be 'w'

Given:

Perimeter of the table is, $P=72$

The perimeter of the rectangular table is given as the sum of all the sides of the rectangle. The sides include two lengths and two widths.

Length of the table is 8 times longer than its width. Therefore,

$Length,L=8w$

Now, perimeter is given as:

$P=2L +2w\\P=2(8w)+2w\\P=16w+2w\\P=18w\\w=\frac{P}{18}$

Now, plug in 72 for 'P' and solve for 'w'. This gives,

$w=\frac{P}{18}\\\\w=\frac{72}{18}\\\\w=4$

So, the table is 4 units wide.

6 0

4 years ago

RAMP 21.7 ft 8.5 ft 12 ft 20 ft 1. What is the total surface area of the ramp?

castortr0y [4]

Answer:

772.4 ft^2

Step-by-step explanation:

find the area of each face. first the slanted rectangle. the dimensions of the slanted rectangle are 21.7ft by 12ft. so the area is 21.7*12=260.4ft^2. for the two triangles on the sides, each on has an area of 20*8.5/2=85. next for the smaller rectangle, the dimensions are 12ft by 8.5ft giving us an area of 102 ft^2. lastly for the base, it has dimensions of 20ft by 12ft giving us an area of 240ft^2. now you just add up all the areas: 260.4+85+85+102+240=772.4 (you might want to check my addition just in case)

3 0

2 years ago

Read 2 more answers

The circumference of great circle of a hemisphere is 44 cm. find the total surface area of the hemisphere

max2010maxim [7]

Answer:

I didn't know if you meant that the circumference of tje hemisphere was 44 or if the circumference of the cirkel in which the hemisphere exists is 44 but you rearrange the numbers.

Step-by-step explanation:

The formula for calculating a circumference is 2×pi×r, with r as tje radius of the cirkel. So in this instance we get 2×pi×r=44. r=44/(2×pi)=7.00 centimeters. The total surface area of a cirkel=pi×r^2=pi×7.00^2=154.06 meters squared. 154.06/2=77.03 meters squared (hemisphere is half of a cirkel)

6 0

3 years ago