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3 years ago

3x - 3y = -32x - y = -5

Mathematics

1 answer:

Korolek [52]3 years ago

4 0

For this case we must solve the following system of equations:

$3x-3y = -3\\2x-y = -5$

To solve we follow the steps below:

We multiply the second equation by -3:

$-6x + 3y = 15$

Thus, we have the equivalent system:

$3x-3y = -3\\-6x + 3y = 15$

We add the equations:

$3x-6x-3y + 3y = -3 + 15\\-3x = -3 + 15\\-3x = 12\\x = \frac {12} {- 3}\\x = -4$

We look for the value of the variable "y":

$2 (-4) -y = -5\\-8-y = -5\\-y = -5 + 8\\-y = 3\\y = -3$

Thus, the solution of the system is given by:

$(x, y): (- 4, -3)$

Answer:

$(x, y): (- 4, -3)$

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3 years ago

A livestock company reports that the mean weight of a group of young steers is 1143 pounds with a standard deviation of 88 pound

malfutka [58]

Answer:

a) P(x<1200)=74.14%

b) P(1100<X<1250)=57.54%

Step-by-step explanation:

Normal Distribution

The normal distribution, also known as the bell curve, is a distribution that occurs naturally in many situations of life. We use the model $N(\mu,\sigma)$ to understand the behavior of some real-life variables. Where $\mu$ is the mean value and $\sigma$ is the standard deviation.

In our case, we have

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And are required to find the percentage of steers whose weigh lie within a given range. We must use some sort of table or digital means to compute the values because the normal distribution cannot be calculated directly by a formula. We use the NORMDIST (or NORM.DIST) formula for Excel which gives us the left tail of the area behind the bell curve, i.e. the cumulative percentage for a give value of X. The formula has the form

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$P(X$

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$P(1100$

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3 years ago

A boat drops an anchor 75 feet to the bottom of a lake. A sunken treasure chest lies at the bottom of the lake, 40 feet away fro

Reil [10]

Given
Height (length) of the anchor dropped from the boat = 75 feet
Distance of the treasure from the anchor = 40 feet

Solution
The dropped at the bottom makes an angle of 90 degree . Therefore making an right triangle with the chest and boat

By Pythagoras theorem
AC^2 = AB^2 + BC^2

(AC = distance of the treasure from the boat
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BC = the distance of treasure from the anchor)

AC^2 = 75^2 + 40^2
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AC^2 = 6925
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Therefore they have cover a distance of 25 * (under root 11)

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3x - 3y = -32x - y = -5​

3x - 3y = -32x - y = -5