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2 years ago

A number is 42,300 when multiplied by 10. Find the product of this number and 500.

1 answer:

3 0

The question is Algebraically 10(a number) = 42,300. Find (a number) x 500.

You are almost correct. You take 42,300 and divide by 10, but then you take the solution of that, 4,230, and multiply that solution by 500 to get the final answer of 2,115,000

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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

1 year ago

If m angle BGF=152 degrees, what is m angle AGF

Allushta [10]

The Answer is: 64 degrees

4 0

2 years ago

Read 2 more answers

In? gambling, the chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ra

erma4kov [3.2K]

Answer:

A) The probability that the event will occur $=\frac{1}{7}$

B)The probability that the event will not occur = $\frac{6}{7}$

Step-by-step explanation:

We are given that The odds of event occurring are 1:6.

So, Number of successful events = 1

Number of unsuccessful events = 6

So, Total events = 6+1=7

a)the probability that the event will occur= $\frac{\text{Favorable event}}{\text{Total event}}$

The probability that the event will occur $=\frac{1}{7}$

b)The probability that the event will not occur = $\frac{\text{Favorable event}}{\text{Total event}}$

The probability that the event will not occur = $\frac{6}{7}$

5 0

2 years ago

A number plus 1/4 of the number can be expressed as

Anestetic [448]

Answer:

$\frac{1}{4}n$ or × $( \frac{1}{4}* n)$

Step-by-step explanation:

In this type of context "of" means to multiply

6 0

2 years ago

What are the solutions to the equation 0 = x2 – x –6? Select two options

KatRina [158]

Answer:

$x=3$ or $x=-2$

Step-by-step explanation:

This is factorable.

The leading coefficient is 1.

Since this is a quadratic all we have to do is find two numbers that multiply to be c and add up to be b to factor the expression that is to the left of the equal sign.

By the way a quadratic expression looks like $ax^2+bx+c$ .