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3 years ago

There are 18 red and 20 blue marbles in a jar. Write the simplified ratio of blue to red marbles in 3 different ways

Mathematics

2 answers:

Iteru [2.4K]3 years ago

5 0

Answer:

10/9, 1.1111...., and 1 1/9

Step-by-step explanation:

I don't know if this helps. It's the exact, decimal, and mixed number form in that order and it's in the fraction is simplified. (the .... is my way of doing the number with the line over it) (also it's simplified because 10/9 is half of 20/18. You can get this by dividing both 20 and 18 by 2.)

AnnZ [28]3 years ago

3 0

20 to 18

20:18

20/ 18

Step-by-step explanation:

Ratios can be writen in 3 different formats. You can write your ratios in fraction form (Example- 20/18), colan form, (Example- 20:18) and finaly word form (Example- 20 to 18). Hope this was acurate and helpful. Have a magical rest of your day!

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Step-by-step explanation:

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Eli has 7 games on his phone . his sister has 6 more than him which ratio compares the number of games on Eli's phone to the num

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Step-by-step explanation:

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Read 2 more answers

In the diagram below, P and Q are points on a circle with centre O.

Gnoma [55]

Answer:

Step-by-step explanation:

According to the diagram shown, ∠OPQ = ∠OQP = 18°. If PQT is a tangent to the circle, it can be inferred that line OQ is perpendicular to line QT. Ths shows that ∠OQT = 90°.

Also from the diagram, ∠OQP + ∠PQT = ∠OQT;

∠PQT = ∠OQT - ∠OQP

Given ∠OQP = 18° and ∠OQT = 90°

∠PQT = 90°-18°

∠PQT = 72°

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3 years ago

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myrzilka [38]

Here is the anwser to the problem

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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

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

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

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3 years ago