All categories

3 years ago

Find the product of 20 times 9 times 5 tell which properties you use

Mathematics

1 answer:

Elanso [62]3 years ago

7 0

20 * 9 * 5 =

= 20 * 5 * 9 using the commutative property

= 100 * 9

= 900

You might be interested in

A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr

Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. 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.

Random voting:

So 50% of voting yes, 50% no, so $p = 0.5$

15 members:

This means that $n = 15$

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

$p = P(X = 0) + P(X = 15)$

In which

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

$P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003$

$P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003$

$p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006$

0.006% probability that the final vote count is unanimous.

7 0

2 years ago

What is the solution to the equation 93x ≈ 7?

Nina [5.8K]

X= 7/93 or roughly 0.07526...

7 0

2 years ago

2m+1 _2m÷2m:simplify

denis-greek [22]

Simplify the <u>expression</u>.

4 0

2 years ago

John has purchased collision insurance with a $100-deductible clause, and automobile medical payments insurance in the amount of

Len [333]

B is answer because total of medical bill was 1,100 plus car repair cost 900 total 2,000. minus 100 dollars john has to pay for his deductible

4 0

3 years ago

Find the value of x in the triangle shown below

frutty [35]

Answer:

sqrt(104) =x

Step-by-step explanation:

We can use the Pythagorean theorem since this is the right triangle.

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse.

2^2 + 10^2 = x^2

4+100 = x^2

104 = x^2

Take the square root of each side

sqrt(104) = sqrt(x^2)

sqrt(104) =x

3 0

2 years ago