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3 years ago

3x+4y=-23 2y-x=-19 What is the solution (x,y) to the systems of equations above?

1 answer:

3 0

If we multiply the bottom equation by 2 and move x to the right, it becomes:

4y = 2x-38

Now we can substitute it for the 4y in the top equation:

3x + (2x-38) = -23 => 5x = -23+38 => 5x = 15 => x=3

Then 4y = 2*3-38 => y = -8

So the solution is (3,-8)

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The value of H is half the value of G ( G = 2/3 )

denpristay [2]

Answer:

The value of H is (1/3)

Step-by-step explanation:

i found it by dividing the value of G on 2

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3 years ago

Find the perimeter of the window. Round your answer to the nearest tenth.

earnstyle [38]

Answer:

78.5 cm

Step-by-step explanation:

C=2 X pi X r

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then divide by 2 for a half circle

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3 years ago

For one toss of a certain coin, the probability that the outcome is heads is 0.6. If this coin is tossed 5 times, which of the f

pishuonlain [190]

Answer:

The probability is 0.33696

Step-by-step explanation:

The probability that the outcome will be heads x times is calculated using the following equation:

$P(x) = nCx*p^{x} *(1-p)^{n-x}$

nCx is calculated as:

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

This apply for variables that follows a binomial distribution. In which we have n independent and identical events with two possibles results: success and fail with a probability p and 1-p respectively.

So, In this case, n is equal to 5, and p is equal to 0.6 because we are going to call success the event in which the outcome of the coin is head.

Then, the probability that the outcome will be heads at least 4 times is calculated as:

P = P(4) + P(5)

Where P(4) is:

$P(4) = 5C4*0.6^{4} *(1-0.6)^{5-4}$

P(4)=0.2592

And P(5) is:

$P(5) = 5C5*0.6^{5} *(1-0.6)^{5-5}$

P(4)=0.07776

Finally, the probability is:

P = 0.2592 + 0.07776

P = 0.33696

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3 years ago

Is 2y-x/6-4=0 a linear function

noname [10]

A equation of a linear function in a standard form:

Ax + By = C

$2y-\dfrac{x}{6}-4=0\ \ \ \ |\cdot(-6)\\\\-12y+x+24=0\ \ \ \ |-24\\\\-12y+x=-24\\\\\boxed{x-12y=-24}$

<h3>Answer: YES. It's a linear function.</h3>

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3 years ago

A circle has a circumference of 452.16 units. What is the radius of the circle?

Elena-2011 [213]

Answer:

Step-by-step explanation:

It's 72

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3 years ago