What is the vocabulary word for a zero percent chance of the event happening

The cube root of rvaries inversely with the square of s. Which two equations model this relationship

VARVARA [1.3K]

Answer:

3√r = k/s²

s²r^1/3 = k

Step-by-step explanation:

Cube root of r = 3√r

Square of s = s²

cube root of r varies inversely with the square of s

3√r = k/s²

Cross product

3√r * s² = k

s²r^1/3 = k

Note:

r^1/3

= 3√r

7 0

2 years ago

A + (−5) = −12<br><br> What is a

kherson [118]

A + -5 = -12

A - 5 = -12

A = -7.

This is the solution.

7 0

3 years ago

Read 2 more answers

4 sisters love barrettes. they have a value pack that contains 92 barrettes. how many barrettes can each sister have if they sha

oee [108]

Answer:

23

Step-by-step explanation:

92÷4=23

There are a total of 92 barrettes and 4 sisters so you divide the total amount of barrettes with the total amount of people present.

6 0

3 years ago

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18. QS bisects ZPQR. If mZPQS = 3x and

il63 [147K]

The answer is b because

6 0

3 years ago

The probability that a grader will make a marking error on any particular question of a multiple-choice exam is 0.15. If there a

sashaice [31]

Answer:

$P(X=0)=(10C10)(0.15)^{0} (1-0.15)^{10-0}=0.1969$

$P(X \geq 1)= 1-P(X$

$P(X=0)=(nCn)(p)^{0} (1-p)^{n-0}=(1-p)^n$

$P(X \geq 1)= 1-P(X$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.15)$

what is the probability that no errors are made?

For this case means that all the questions were correct so we want this probability:

$P(X=0)=(10C10)(0.15)^{0} (1-0.15)^{10-0}=0.1969$

what is the probability that at least one error made?

For this case we want this probability:

$P(X \geq 1)$

And we can use the complement rule:

$P(X \geq 1)= 1-P(X$

If there are n questions and the probability of a marking error is p rather than 0.15, give expressions for the probabilities of no errors and at least one error

$P(X=0)=(nCn)(p)^{0} (1-p)^{n-0}=(1-p)^n$

$P(X \geq 1)= 1-P(X$

8 0

3 years ago