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3 years ago

What is the solution

Mathematics

2 answers:

lozanna [386]3 years ago

3 0

Answer:

1+1=a a=solution

Step-by-step explanation:

givi [52]3 years ago

3 0

The solution is 1+1=a

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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

Determine the slope of the line represented by the equation: y = 7 x − 3

AfilCa [17]

The slope is 7
slope equation: y=mx+b
m=slope

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3 years ago

<br> .........help.......me.......please

AlexFokin [52]

Answer:

Step-by-step explanation:

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3 years ago

How to solve (2x to the 2nd 4x 6)?

Olenka [21]

2x8nd<span>4 theres your answer</span>

5 0

3 years ago

TeeVee Electronics, Inc., makes console and wide-

Tom [10]

Answer:

First we need to put all the given information in a table, that way we'll express it better into inequalities.

Cost Production Max.

Console screen (x) $600 450

Wide-screen (y) $900 200

$360,000

We have:

$600x+900y \leq 360,000$

Because they can't spend more than $360,000 in production.

$x\leq 450\\y\leq 200$

Because the number of television is restricted.

The profit function is

$P(x,y)=125x+200y$ (this is the function we need to maximize).

First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).

Now, we test each point in the profit function to see which one gives the highest profit.

For (300,200):

$P(300,200)=125(300)+200(200)=37,500+40,000=77,500$

300 console screen and 200 wide screen give a profit of $77,500.

For (450,100):

$P(450,100)=125(450)+200(100)=56,250+20,000=76,250$

450 console screen and 100 wide screen give a profit of $76,250.

<h3>Therefore, to reach the maximum profits, TeeVee Electronic, Inc., must produce 300 console screen televisions and 200 wide-screen televisions to profit $77,500,</h3>

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3 years ago