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3 years ago

Solve the following system 6x-3y=15 x+3y=-8

Mathematics

2 answers:

MArishka [77]3 years ago

8 0

Answer:

(1,-3)

Step-by-step explanation:

6x-3y=15

<em>substitute x with 1 and y with -3</em>

6(1)-3(-3)=15

6+9=15 so that's true

x+3y=-8

<em>again substitute x with 1 and y with -3</em>

(1)+3(-3)= -8

1-9=-8

-8=-8 and that's true

hope i helped

pentagon [3]3 years ago

7 0

<h2>Answer:</h2>

This system can be solved for x by elimination.

$6x - 3y = 15\\ x + 3y = -8\\\\7x = 7\\\\x = 1$

Now, with what we found for x, we plug it back into one of the equations to solve for y. I chose the second one.

$1 + 3y = -8\\\\3y = -9\\\\y = -3$

Now, we have our solution.

$(1, -3)$

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A random sample of 10 parking meters in a beach community showed the following incomes for a day. Assume the incomes are normall

Vlad1618 [11]

Answer: (2.54,6.86)

Step-by-step explanation:

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$=\sqrt{\dfrac{(1.1)^2+(0.2)^2+(1.9)^2+(1.6)^2+(2.1)^2+(0.5)^2+(2.05)^2+(0.45)^2+(3.3)^2+(1.7)^2}{10}}$

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The confidence interval for the population mean (for sample size <30) is given by :-

$\mu\ \pm t_{n-1, \alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given significance level : $\alpha=1-0.95=0.05$

Critical value : $t_{n-1,\alpha/2}=t_{9,0.025}=2.262$

We assume that the population is normally distributed.

Now, the 95% confidence interval for the true mean will be :-

$4.7\ \pm\ 2.262\times\dfrac{3.0265}{\sqrt{10}} \\\\\approx4.7\pm2.16=(4.7-2.16\ ,\ 4.7+2.16)=(2.54,\ 6.86)$

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4 years ago

8th grade math please help.

GuDViN [60]

Answer:

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Step-by-step explanation:

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3 years ago

The volume of a rectangular prism with a square base is 180 in3. Its height is 5 in. Find the length of the edge of the square b

amid [387]

Answer:

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Step-by-step explanation:

We have,

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It is required to find the length of the edge of the square base. Let it is l.

The formula of the volume of the rectangular prism is given by :

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Answer:

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3 years ago

Read 2 more answers

Solve for x.<br><br><br><br> 5+x+(−2)=−8

levacccp [35]

5+х-2+8=0
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3 years ago