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stepan [7]
3 years ago
14

Urgent, please answer and show your work. In how many ways can two bishops be placed on a chessboard so that they do not attack

each other? Note: a bishop can move any number of squares diagonally. A bishop on a white square, therefore, moves along white squares only. A bishop on a black square moves diagonally along black squares only.
Mathematics
1 answer:
Olenka [21]3 years ago
3 0

Answer:

use the formula of permutation and combination

Step-by-step explanation:

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The population of a bacteria after x number of hours is modeled by the expression 1 , 000 ( 0 . 75 ) x . What is the rate of dec
DerKrebs [107]

Answer:

A. 25%

Step-by-step explanation:

If you multiply something by 0.75, you're multiplying it by 75%, and that means you're losing 25% each time, so the rate of decay is 25%

7 0
3 years ago
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Jamal has 63 photos on his phone. He has enough storage space for 128 photos
Lyrx [107]

Answer:

65

Step-by-step explanation:

128-63=65

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3 years ago
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The area of a rectangle is 30+12x what are 3 possibilities for the length and width of the rectangle
Stolb23 [73]

In order to find the three possibilities, you must first think of common factors between 30 and 12:

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 12: 1, 2, 3, 4, 6, 12

We can find three common factors between the two numbers: 2, 3, and 6. So these are three widths that we can use. The length can be found by factoring out the numbers from 30+12x (we can't factor out x):

30+12x=2(15+6x)      Width: 2      Length: 15+6x

20+12x=3(10+4x)      Width: 3      Length: 10+4x

20+12x=6(5+2x)       Width: 6      Length: 5+2x

4 0
3 years ago
A math test is worth 100 points and has 38 problems. Each problem is worth either 5 points or 2 points. How many problems of eac
Natasha_Volkova [10]
Let x be the number of 5 points question.
Let y be the number of 2 points question.

Total number of questions is 38
x + y = 38 

Total points is 100
5x + 2y = 100

x + y = 38 ------------- (1)
5x + 2y = 100 ---------(2)

From (1):
x + y = 38
x = 38 - y -------------- sub into (2)
5(38 - y) + 2y = 100
190 - 5y + 2y = 100
3y = 90
y = 30 ------------------ sub into (1)
x + 30 = 38
x = 38 - 30
x = 8

There are 8 5-point questions and 30 2-point questions
5 0
3 years ago
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The average age of all students at a certain college is 22 years and the standard deviation is 2 years. What is the probability
Marianna [84]

Answer:

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

Step-by-step explanation:

According to the given data we have the following:

mean = μ= 22

standard deviation = σ = 2

n = 100

μx = 22

σx=σ/√n=2/√100=0.2

Therefore, P( x < 21.8)=P(x-μx)/σx<(21.8-22)/0.2

=P(z<-1)

= 0.159

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

3 0
3 years ago
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