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4 years ago

Solve the proportion 36/17=41/x what is x

Mathematics

1 answer:

algol [13]4 years ago

4 0

Answer:

x=19.36111..

Step-by-step explanation:

to get this you would cross multiply

the equation: 36/17=41/x

which you do 36 * x = 17 * 41

divide each side by 36 to cancel it out and leave you with x

giving you (17*41)/36

do this in a calculator...

you get x=19.3611

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Step-by-step explanation:

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3 years ago

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fiasKO [112]

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Step-by-step explanation:

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Mi is about to roll a six-sided number cube. What is the experimental probability that she will roll an even number based on her

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Answer: The experimental probability that she will roll an even number= $\frac{1}{2}$

Step-by-step explanation:

We know that the probability for any event is given by6;-

$\text{Probability}=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}$

In a dice, the total even numbers (2,4,6)= 3

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Hence, The experimental probability that she will roll an even number= $\frac{1}{2}$

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4 years ago

When the function y = 2^{x} is changed to y = 2(2^{x}), the graph is shifted one unit. What is the direction of the shift?

KIM [24]

Upwards from 1 to 2 is your Answer (see attachments)

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4 years ago

According to a survey, 18% of the car owners said that they get the maintenance service done on their cars according to the sche

Annette [7]

Answer:

a) For this case we define the random variable X="number of car owners in a random sample of 12 who get the maintenance service done on their cars according to the schedule recommended by the auto company". And for this case the distribution for X is:

$X \sim Binom (n =12, p=0.18)$

And the possible values for the random variable are X=0,1,2,3,4,5,6,7,8,9,10,11,12

b) Using the probability mass function we got:

$P(X=3)=(12C3)(0.18)^3 (1-0.18)^{12-3}=0.21506$

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:

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

Solution to the problem

Part a

For this case we define the random variable X="number of car owners in a random sample of 12 who get the maintenance service done on their cars according to the schedule recommended by the auto company". And for this case the distribution for X is:

$X \sim Binom (n =12, p=0.18)$

And the possible values for the random variable are X=0,1,2,3,4,5,6,7,8,9,10,11,12

Part b

Find to 3 decimal places the probability that exactly 3 car owners in a random sample of 12 get the maintenance service done on their cars according to the schedule recommended by the auto company.

Using the probability mass function we got:

$P(X=3)=(12C3)(0.18)^3 (1-0.18)^{12-3}=0.21506$

6 0

3 years ago