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Anna11 [10]
3 years ago
14

Find the solution of this system of equations. separate the x- and y- values with a comma.

Mathematics
2 answers:
jonny [76]3 years ago
4 0
X - 2y = -29
x - y = -11

first solve for x in the first equation;
x = 2y - 29

now substitute it into the second equation;
x - y = -11

2y - 29 - y = -11
y - 29 = -11

solve for y;
y - 29 = -11
y = -11 + 29
y = 18

solve for x by substituting what y equals;
x = 2y - 29
x = 2(18) - 29
x = 7

so your answer is, (7, 18)

hope this helped!! blessings x
12345 [234]3 years ago
4 0

x-2y = -29

x-y = -11

we can solve for x in the second equation by adding y to both sides

x= -11 + y

now we can plug this in for the x value in the first equation to solve for y

-11 + y -2y = -29

-11-y=-29

-y= -18

y =18

now that we know what y is equal to, we can plug it in to either equation to solve for x

x-18= -11

x = 7

7 , 18

hope this helped

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Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all
posledela

This question is Incomplete

Complete Question

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)

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Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

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Standard deviation = 1.58 bl/s.

x = 5 bl/s

z = 5 - 6.20/1.58

z = -0.75949

The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)

Probability value from Z-Table:

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P(x>5) = 1 - P(x<5)

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The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762

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have a nice day

and this shape ( and that [ matters so be careful.

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