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4 years ago

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

Read 2 more answers

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