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Viefleur [7K]
4 years ago
14

Which property is (8•9)b=8(9b)

Mathematics
1 answer:
Ludmilka [50]4 years ago
6 0

Answer:

Associative Property

Step-by-step explanation:

When the order of operands remains the same, all operations are identical (multiplication, or addition), and only the parentheses change places, the property involved is the <em>associative property</em>.

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12 yellow balls and 9 red balls are placed in an urn. Two balls are then drawn in succession without replacement. What is the pr
denis23 [38]

Answer:

\frac{9}{35}

Step-by-step explanation:

When the first draw is done there are 9 red balls in a sample size of 21. So there probability of drawing a red ball will be \frac{9}{21}

When the second draw is done, there will be 12 yellow balls in a sample size of 20 since the first ball will not have been replaced into the bag. So the chance of someone drawing the second ball in the second draw is \frac{12}{20}

The probability of them happening in this order is the product of both probabilities:

\frac{9}{21}  * \frac{12}{20}  = \frac{9}{35}

8 0
3 years ago
Find two consecutive even integers such that five times the smaller integer is ten more than three times the larger integer.
quester [9]
5n = 3(n + 2) + 10
5n = 3n + 16
12n = 16 
n = 8  

8 is smaller integer and 10 is the larger.
8 0
3 years ago
Simplify the ratio: 28:35
Mama L [17]
28:35
Those are divisible by 7 so divide both sides by seven
the answer is 4:5
3 0
3 years ago
Read 2 more answers
Solve the equation y/-4 + 5 = 15
Allushta [10]

Answer:

y= -40

Step-by-step explanation:

5 0
3 years ago
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The National Center for Health Statistics (NCHS) reports that 70%70% of U.S. adults aged 6565 and over have ever received a pneu
Marianna [84]

Answer:

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they received a pneumococcal vaccination, or they did not. The probability of an adult receiving a pneumococcal vaccination is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

70% of U.S. adults aged 65 and over have ever received a pneumococcal vaccination.

This means that p = 0.7

20 adults

This means that n = 20

Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination.

This is P(X = 12).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{20,12}.(0.7)^{12}.(0.3)^{8} = 0.1144

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

3 0
3 years ago
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