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mamaluj [8]
2 years ago
8

Find the least number of people that need to be randomly seated in a row of 49 chairs to be sure that 5 or more consecutive chai

rs are occupied.
Mathematics
1 answer:
Reil [10]2 years ago
7 0

Answer:

note:

I'm not sure about my answer

Step-by-step explanation:

hope it helps

40% im not sure but hope it helps to you

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3x + 9b + 5ax + 15ab​
Irina-Kira [14]

Answer:

(x + 3b)(3 + 5a)

Step-by-step explanation:

Assuming you require the expression factorised.

Given

3x + 9b + 5ax + 15ab ( factor the first/second and third/fourth terms )

= 3(x + 3b) + 5a(x + 3b) ← factor out (x + 3b) from each term

= (x + 3b)(3 + 5a) ← in factored form

7 0
3 years ago
The figure below shows a shaded rectangular region inside a large rectangle:
pshichka [43]

Answer:

b. 58%

Step-by-step explanation:

Calculate the area of the entire rectangle using the formula A = lw.

The lowercase "L" is for length.

"w" is for width.

The lighter square is 10 units long by 5 inches wide.

A = lw

A = (10 in)(5 in)   Multiply

A = 50 in²

Calculate the area for the shaded rectangle, 7 inches by 3 inches.

A = lw

A = (7 in)(3 in)    Multiply

A = 21 in²

Calculate the area for the non-shaded region by subtracting the shaded area from the total area.

50 in² - 21 in² = 29 in²

The chance that a point in the large rectangle will NOT be in the shaded region is 29/50.

Convert this fraction to decimal form by using a calculator. Divide the top number by the bottom number.

29/50 = 0.58

0.58 is in decimal form. To convert it to a percentage, multiply the number by 100.

0.58 = 58%

Therefore the probability that a point chosen inside the large rectangle is not in the shaded region is 58%.

5 0
3 years ago
HEY!! I’M REALLY DESPERATE RN FOR AN ANSWER SO LIKE HERE’S ALL MY POINTS!! Please show the work!
BabaBlast [244]

Answer:

see explanation

Step-by-step explanation:

One way to divide is to use the divisor as a factor in the numerator

Consider the numerator

x²(x - 3) + 3x² - x + 6

= x²(x - 3) + 3x(x - 3) + 9x - x + 6

= x²(x - 3) + 3x(x - 3) + 8(x - 3) + 24 + 6

= x²(x - 3) + 3x(x - 3) + 8(x - 3) + 30

quotient = x² + 3x + 8 , remainder = 30

\frac{x^3-x+6}{x-3} = x² + 3x + 8 + \frac{30}{x-3}

6 0
3 years ago
Read 2 more answers
Write -0. 18 repeating as a fraction in simplest form.
galina1969 [7]

Answer:

-2/11

Step-by-step explanation:

8 0
3 years ago
How do I find the area of the shaded region? Thanks!!
bazaltina [42]

Answer:

The radius of a circumcircle of an equilateral triangle is equal to (a / √3), where ‘a’ is the length of the side of equilateral triangle.

Circle Radius = 16 / sq root (3)

Circle Radius = 9.237604307

Circle Area = PI * radius ^ 2

Circle Area = PI * 85.3333333333

Circle Area = 268.083

Equilateral Triangle area = side^2 * sq root (3) / 4

Equilateral Triangle area = 16^2 * 0.4330127019

Equilateral Triangle area = 110.85

Shaded region = 268.083 - 110.85

Shaded region = 157.233

Step-by-step explanation:

7 0
3 years ago
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