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3 years ago

What is the solution to the system of equations? y= {x+3 x = -2

Mathematics

1 answer:

professor190 [17]3 years ago

3 0

Answer:

y=1

x=-2

Step-by-step explanation:

You're given one, so solve for y by entering -2 (x) into it's equation.

y=x+3

y=-2+3

y=-1

The other is given, so you have your answer.

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The property of inequality states whatever is done to one side of the equation must be done to the other. true or false?

weqwewe [10]

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3 years ago

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3 years ago

nventing is a difficult way to make money. Only 5% of new patents earn a substantial profit. A certain city has just had30 indep

Arlecino [84]

Answer:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

Step-by-step explanation:

Previous concepts

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".

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

$X \sim Binom(n=30, p=0.05)$

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

For this case we want this probability:

$P(X \geq 2)$

And we can use the complement rule and we got:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

3 0

2 years ago

ANSWER ASAP

Brums [2.3K]

Answer:

y = 2x + 3
y = -6x
y = -x + 2
y = 2x - 7

Step-by-step explanation:

Slope-intercept form:

y = mx + b

Hint. if we have x = 0, then the y-coordinate is the same as b

Slope

m = (y2 - y1)/(x2-x1)

33.

m = (9 -(-3))/(3 - (-3)) = 12/6 = 2
b = 3 as per table (0, 3)

y = 2x + 3

34.

m = (0-12)/(0 - (-2)) = -12/2 = -6
b = 0, as per table (0, 0)

y = -6x

35.

m = (2 - (-2))/(0 - 4) = 4/-4 = -1
b = 2, as per table (0, 2)

y = -x + 2

36.

m = (-5 - (-1))/ (1 -3) = -4/-2 = 2

Using point (3, -1)

-1 = 2*3 + b
b= -1 - 6= - 7

y = 2x - 7

8 0

2 years ago

Please help me i can’t get this one right. someone help me please if you know how to do this.

Sati [7]

Answer:

it’s going up by 3 boys per girl!

Step-by-step explanation:

Correct me if I’m wrong by commenting down below.

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2 years ago