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tresset_1 [31]
4 years ago
12

Write a sentence that shows the commutative property of multiplication

Mathematics
1 answer:
jeka57 [31]4 years ago
8 0

5*9=9*5 and that shows it because 9 times 5 is equal to 5 times 9

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Fifty balls are numbered 1 to 50 and red dot is painted on those balls that are a multiple of 8. the balls are mixed into a bag
vaieri [72.5K]
Total number of balls = 50
Balls numbered as multiple of 10 = 5
Balls with red dot on them = 6
Balls numbered as multiple of 10 and having red dot on them = 1 (i.e. Ball with number 40 on it)

Probability of Ball being numbered as multiple of 10 = P(T) = 5/50 = 1/10

Probability of Ball being marked by the dot = P(D) = 6/50 = 3/25

Probability of Ball being numbered as multiple of 10 and having a red dot on it = P (T ∩ D) = 1/50

The "or" ,"union" of two events can be expressed as:

P(T ∪ D) = P(T) + P(D) - P (T ∩ D)

Using the values, we get:

P(T ∪ D) = \frac{1}{10} + \frac{3}{25}- \frac{1}{50}=1/5

Thus, the probability that the ball is numbered with a multiple of 10 or has a red dot is 1/5 or 0.2
8 0
3 years ago
The length of a particular rectangle is 2 inches less than twice its width. If the area of the rectangle is 40 square
lianna [129]

ANSWER:

Let width be x, then length be 2x – 2

Now, Area of rectangle = L × B

  • x(2x – 2) = 40
  • 2x² – 2x – 40 = 0
  • 2(x² – x – 20) = 0
  • x² – x – 20
  • x² –5x + 4x – 20 = 0
  • x(x – 5) + 4(x – 5) = 0
  • (x + 4)(x – 5) = 0
  • x = – 4; 5

Hence, width can't be negative.

So width = 5in.

And Length = 2 × 5 – 2

  • 10 – 2 = 8in.

So, <u>Correct choice</u> - [D] Length is 8 in, Width is 5 in.

3 0
3 years ago
Explain the difference between an inequality with OR and an inequality with AND.
maksim [4K]

Inequality with OR: We use OR when you have two or more cases that could or not happen at the same time, for example with inequalities when you have an OR you use the union of the sets given by the inequalities. for example if we have the following two inequalities

x\ge1\text{ or x}\leq0

it will represent the union of the set of numbers that are greater than one with the set of the numbers that are less than zero.

Inequality with AND: We use AND when you need that all the conditions holds at the same time (here is not accepted that only one holds) for example with inequalities when you have AND you need to use the intersection of the sets given by the inequalities. For example:

x\ge2\text{ AND x}\leq10

will represent the intersection of the set of number that are greater than two and less than ten AT THE SAME TIME

4 0
1 year ago
As a 7 1/4 inch candle burns down, its height we decreases three-quarter inch inch each hour. How many hours does it take for th
Pani-rosa [81]

Answer:

9.5 hours

Step-by-step explanation:

8 0
3 years ago
Find the GCF of 12a^5 and 38a^4b^2.
vazorg [7]

Answer:

Procedures:

1.) The GCF of a number is the greatest factor/number that you can divide from all the numbers.

2.) The GCF of an exponent is the least value.

ANSWER: 12a² and 38a⁴b²

GCF = 2a²

Factored Form = 2a²(3+19a²b²)

8 0
3 years ago
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