For the following system of equations, what is the x-value of the solution?

2 answers:

7 0

Add x to both sides of the first equation. This makes 2y=6+x. Then Multiply it all by 3. This makes 6y=18+3x. Then multiply both sides by -1. This makes -6y=-18-3x. Then combine the two equations. 6y+ (-6y)=0, x+(-3x)=-2x, and 18+(-18)= 0. This leaves 0y=-2x+0, in other words, -2x=0 Then you can divide out the -2x from both sides. 0 divided by anything is 0. This leaves x=0

kirill [66]3 years ago

5 0

Correct answer is B.
2. c
3. c
4. b

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A real estate agent has 17 properties that she shows. She feels that there is a 60% chance of selling any one property during a

Zarrin [17]

Answer:

$P(X\leq 5)$

And we can find the individual probabilities like this:

$P(X=0)=(17C0)(0.6)^0 (1-0.6)^{17-0}=0.000000171$

$P(X=1)=(17C1)(0.6)^1 (1-0.6)^{17-1}=0.00000439$

$P(X=2)=(17C2)(0.6)^2 (1-0.6)^{17-2}=0.0000526$

$P(X=3)=(17C3)(0.6)^3 (1-0.6)^{17-3}=0.000394$

$P(X=4)=(17C4)(0.6)^4 (1-0.6)^{17-4}=0.00207$

$P(X=5)=(17C5)(0.6)^5 (1-0.6)^{17-5}=0.000807$

And adding we got:

$P(X\leq 5) = 0.0106$

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".

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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: $P(A)+P(A') =1$