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EleoNora [17]
3 years ago
7

A BINGO card is a 5 × 5 grid. The center square is a free space and has no number. The first column is filled with five distinct

numbers from 1 to 15, the second with five numbers from 16 to 30, the middle column with four numbers from 31 to 45, the fourth with five numbers from 46 to 60, and the fifth with five numbers from61 to 75.
Since the object of the game is to get five in a row horizontally, vertically, or diagonally, the order is important.

How many BINGO cards are there?
Mathematics
1 answer:
anyanavicka [17]3 years ago
8 0

Answer:

5.52*10^{26}

Step-by-step explanation:

For the columns with 5 slots, there are 15 distinct options to fill in. The number of ways to fill them in is

15 * 14 * 13 * 12 * 11 = 360360 ways (order matters)

For the column with 4 slots and 15 options. The number of ways to fill them in is

15 * 14 * 13 * 12 = 32760  ways (order matters)

Since a bingo card has 4 columns of 5 slots and 1 column with 4 slots, the total number of combination there is:

360360^4*32760 \approx 5.52*10^{26} (order matters)

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3 years ago
Can someone help me with this question?
sesenic [268]

Answer:

One of the angles in the triangle might be 50.

AND

The length of the third side must be 11cm or smaller.

Step-by-step explanation:

-The triangle might be an equilateral triangle (having all the same sides and angles). False, since the triangle sum theorem states that all angles inside of a triangle must add up to 180, so an equilateral triangle would need to have all three angles at 60 degrees.

-One of the angles in the triangle must be 120 (false; it can be anything above 90, which is not only 120)

-The length of the third side must be 11cm or smaller. (True, Triangle Inequality Theorem)

-One of the angles in the triangle might be 50 (possibly, so very much true)

3 0
3 years ago
A scuba diver is diving at a constant rate when her
Helen [10]

Answer:

-0.25 ; 120 seconds 72 seconds

Step-by-step explanation:

Dive rate is constant :

Change in elevation after 8 seconds :

18 feets to 20 feets below

Rate of change = distance / time

(18 - 20) feets / 8 seconds

(-2 / 8) = - 0.25 feets per second

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4 0
3 years ago
A local university has 2.815 Hispanic students out of a total student population of 20.250. Do the Hispanic students have propor
Over [174]
Given:
The race percent of population is
White:      45%
Hispanic: 27%
Black:       18%
Asian:        7%
Other:        3%

Part a.
The university has 2,815 Hispanic out of the 20,250 total population.
This is equivalent to (2815/20250)*100 = 13.9%
This percentage is less than 27%, so Hispanics do not have proportional representation.

Answer: The Hispanic students do not have proportional representation.

Part b.
Let x =  the extra number of Hispanic students needed for proportional representation of 27% or 0.27.
Then
(2815 + x)/20250 = 0.27
2815 + x = 20250*0.27 = 5467.5
x = 5467.5 - 2815 = 2652.5

This means that 2,653 extra Hispanic students are required for a population of 20,250 students.

Answer: 2,653 extra Hispanic students.

5 0
3 years ago
Is it multiplication or division?...How much ch ice cream does each cone hold of four cones hold 1/2 pound
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2 ounces

using the conversion

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Divide 8 by 4 to calculate amount for each cone

amount = 8 ÷ 4 = 2 ounces


4 0
3 years ago
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