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3 years ago

you accidentally dropped a coin from the top of 10 stairs. what is the probability that it will land on the 4th step facing up

Mathematics

1 answer:

Roman55 [17]3 years ago

3 0

Answer:

Step-by-step explanation:

1/10 * 1/4 = 1/14

1/2 because there is a 50/50% chance its either heads or tails

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Find the radius of a circle with a circumference of 30 units. Round your answer to the nearest tenth (1 decimal place).

Vlad [161]

Answer:

The radius would be 4.8

Step-by-step explanation:

The circumerfence of a circle can be found use the equation C=2 $\pi$ r. So since we are given the circumerce we need to rearrange the eqaution to it looks like $\frac{30}{2\pi }$ =r. when we do this out we find that the radius equals 4.8.

4 0

3 years ago

Examine the quadratic equation 9x^2+12x +4= 0.

mestny [16]

Answer:

See answers and explanations

Step-by-step explanation:

A) Discriminant = b² - 4ac = (12)² - 4(9)(4) = 144 - 144 = 0

B) Since the discriminant is 0, this means the equation only has one root.

C) The root is real in this case since the discriminant is not negative. Otherwise, we would have two imaginary roots if it were (remember that complex roots come in pairs)

4 0

3 years ago

This season, the probability that the Yankees will win a game is 0.49 and the probability that the Yankees will score 5 or more

yanalaym [24]

Answer:

0.226 = 22.6% probability that the Yankees will lose when they score 5 or more runs

Step-by-step explanation:

Conditional probability:

We use the conditional probability formula to solve this question. It is

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

If the Yankees score 5 or more runs, either they win, or they lose. The sum of these probabilities is 1.

Probability that the Yankees win:

Event A: Scoring 5 or more runs.

Event B: Winning

The probability that the Yankees will score 5 or more runs in a game is 0.53.

This means that

The probability that the Yankees win and score 5 or more runs is 0.41.

This means that

0.774 probability that the Yankees will win when they score 5 or more runs

What is the probability that the Yankees will lose when they score 5 or more runs?

p + 0.774 = 1

p = 1 - 0.774

p = 0.226

0.226 = 22.6% probability that the Yankees will lose when they score 5 or more runs

4 0

3 years ago

What sampling method is used in the following examples. Is the method biased or not?

Romashka-Z-Leto [24]

Answers:

a) Stratified random sampling, or simply stratified sampling. Each group individually is known as a stratum. The plural is strata. The key here is that each stratum is sampled, though we don't pick everyone from every stratum. We randomly select from each unit to have them represent their unit. Think of it like house of representative members that go to congress. We have members from every state, but Be sure not to mix this up with cluster sampling. Cluster sampling is where we break the population into groups or clusters, then we randomly select a few clusters in which every individual from those clusters is part of the sample.
b) Simple random sampling (SRS). This is exactly what it sounds like. We're randomly generating numbers to help determine who gets selected. Think of it like a lottery. A computer is useful to make sure this process is quick, efficient and unbiased as possible. Though numbers in a box or a hat work just as well.

For each of the methods mentioned, they aren't biased since they have randomness built into their processes.

7 0

3 years ago

If a is a positive integer and b is a negative integer, which expression must be positive?

nydimaria [60]

So, let's solve all of them and see:

a - (-b) = a + b ⇒ can be either positive or negative, depending on the numbers

a + (-b) = a - b ⇒ can either be positive or negative, depending on the numbers

a * (-b) = a * (-b) ⇒ negative answer no matter what

a / (-b) = a / (-b) ⇒ negative answer no matter what

So the answer is:

<em>"None of the above"</em>.

Hope it helped,

BioTeacher101

(If you have any questions, feel free to ask them in the comments)

4 0

3 years ago

Read 2 more answers