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3 years ago

Solve the system of the following equations:

Mathematics

2 answers:

Alina [70]3 years ago

7 0

Answer:

$(5, \: - 2)$

Step-by-step explanation:

$x + 3y = - 1 \\ 2x + 2y = 6 \\ solve \: the \: equation \\ \\ x = - 1 - 3y \\ 2x + 2y = 6 \\ substitute \: the \: value \: of \: x \: into \: an \\ equation. \\ \\ 2( - 1 - 3y) + 2y = 6 \\ distribute \\ \\ - 2 - 6y + 2y = 6 \\ add \: - 6y \: to \: 2y \\ \\ - 2 - 4y = 6 \\ add \: 2 \: from \: both \: sides \\ \\ - 2y = 8 \\ divide \: both \: sides \: by \: 2 \\ \\ y = - 2 \\ substitute \: the \: value \: of \: y \: into \: an \\ equation. \\ \\ x = - 1 - 3( - 2) \\ distribute \\ \\ - 1 + 6 \\ add \: - 1 \: to \: 6 \\ \\ x = 5 \\ \\ (5, - 2)$

schepotkina [342]3 years ago

4 0

The answer is (5,-2)

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The mean height of a Clydesdale horse is 72 inches with a standard deviation of 1.2 inches. What is the probability that a Clyde

Lubov Fominskaja [6]

Answer:

0.0062

Step-by-step explanation:

Given that:

Mean (μ) = 72 inches, Standard deviation (σ) = 1.2 inches.

The z score is a measure in statistics is used to determine by how many standard deviation the raw score is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean, the z score is negative.

The z score is given as:

$z=\frac{x-\mu}{\sigma}$

For Clydesdale is greater than 75 inches tall, x = 75 inches, the z score is:

$z=\frac{x-\mu}{\sigma}=\frac{75-72}{1.2} =2.5$

The probability that a Clydesdale is greater than 75 inches tall = P(X > 75) = P(Z > 2.5) = 1 - P(Z < 2.5) = 1 - 0.9938 = 0.0062 = 0.62%

The probability that a Clydesdale is greater than 75 inches tall is 0.62%

3 0

4 years ago

Notebooks cost a $1.20 each this week and they will be on sale for $0.80 what percentage is the sale

ozzi

We can use algebra.

So, what rate time 1.20 = .80

Let x = the rate (in a decimal form)

1.20x = .80

x = .6666666666

Now, we need to multiply by 100 to get a percentage.

66.66 The price is 66% of the regular price.

They marked it off

33.33%

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3 years ago

Read 2 more answers

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PSYCHO15rus [73]

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3 years ago

√3=1.732 find the value of√75+1/2√48-√198

Nookie1986 [14]

Answer:

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Step-by-step explanation:

$\sqrt{75} = \sqrt{5^{2}*3} \\$

$\sqrt{48}= \sqrt{2^{2}*2^{2}*3} \\$

$\sqrt{198} =\sqrt{3^{2}*2*11} \\$

$\sqrt{75} +\frac{1}{2} *\sqrt{48} - \sqrt{198} \\\\\sqrt{5^{2}*3} +\frac{1}{2} *\sqrt{2^{2}*2^{2}*3} - \sqrt{3^{2}*2*11} \\\\5\sqrt{3} +\frac{1}{2} *4 \sqrt{3} - 3 \sqrt{2*11} \\\\5\sqrt{3} +2 \sqrt{3} - 3 \sqrt{22} \\\\5*1.732 +2*1.732 - 3 \sqrt{22} \\\\8.66 + 3.464 - 3 \sqrt{22}\\\\12.124- 3 \sqrt{22}$

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3 years ago

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Mrrafil [7]

228 employees in total

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