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Sauron [17]
3 years ago
11

Find the solution for the system of linear equations by elimination: -3x + y = 2, 4x - y = 4 Explain how you found the solution.

Mathematics
1 answer:
viktelen [127]3 years ago
4 0

Answer:

x = 6 \\ y = 20

Step-by-step explanation:

1. Add the equations. The y's cancel out.

+ 4x - y =  + 4 \\  - 3x + y =  + 2 \\  -  -  -  -  -  -  -  \\ x = 6

2. Embed x in either equation and find y.

4x - y = 4 \\ 4(6) - y = 4 \\ 24 - y = 4 \\ 20 - y = 0 \\ y = 20

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What is the probability that a randomly selected male will have a foot length between 8 and 12.5 inches? P(8 < r < 12.5)=
melisa1 [442]

Answer:

0.8185 or 81.85%

Step-by-step explanation:

The mean length (μ) of an adult foot is 11 and the standard deviation (σ) is 1.5.

The z score is a measure in statistic used to determine the amount of standard deviation by which the raw score (x) 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 sore is negative. It is given by:

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

To calculate the probability that a randomly selected male will have a foot length between 8 and 12.5 inches, we first calculate the z score for 8 inches and then for 12.5 inches.

For 8 inches:

z=\frac{x-\mu}{\sigma}=\frac{8-11}{1.5}=-2

For 12.5 inches:

z=\frac{x-\mu}{\sigma}=\frac{12.5-11}{1.5}=1

From the normal distribution table, The probability that a randomly selected male will have a foot length between 8 and 12.5 inches = P(8 < x < 12.5) = P(-2 < z < 1) = P(z < 1)  - P(z < -2) = 0.8413 - 0.0228 = 0.8185 = 81.85%

4 0
3 years ago
Write a question that can be answered by making a tally chart
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The difference between the set of non-negative real numbers and the set of positive real numbers is:
Inessa05 [86]

Answer:

C; A singleton set

Step-by-step explanation:

Mathematically, when a number is non-negative; it is either positive or zero

Now, this is because 0 identifies as neither a positive or a negative number

hence, when we find the difference between the two sets, the only number that stands out unmatched is the value 0

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3 years ago
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I need help with this
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for a triangular prism, its volume will simply be <u>area of its base</u> times its length.

the are of the base for this one is simply any of those triangular bases.  Now, let's notice, the right-triangle has a base of 9 and a height o 9, notice the tickmarks, whilst the prism also has a length of 13.

\bf \stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(9)(9)}~~\cdot~~ \stackrel{\textit{length}}{(13)}\implies 9\cdot 13\implies 117

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