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lina2011 [118]
3 years ago
15

Use the elimination method to solve the following system. 6x – 7y = –8 –x – 4y = –9

Mathematics
1 answer:
kvasek [131]3 years ago
3 0
The correct answer is (1,2)

Steps:
Multiply the second equation by 6 in order to eliminate the x variable.

6x-7y= -8
6(-x-4y= -9)

6x-7y= -8
-6x-24y=-54

Add the equations together and solve for y

-31y= -62
Y=2

Substitute y=2 in the original equation

-x-4(2)= -9
-x-8= -9
-x= -1
X=1

Answer: (1,2)



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Arte-miy333 [17]

Answer: 505

Step-by-step explanation:

The formula to find the sample size n , if the prior estimate of the population proportion (p) is known:

n= p(1-p)(\dfrac{z}{E})^2 , where E=  margin of error and z = Critical z-value.

Let p be the population proportion of crashes.

Prior sample size = 250

No. of people experience computer crashes = 75

Prior proportion  of crashes p=\dfrac{75}{250}=0.3

E= 0.04

From z-table , the z-value corresponding to 95% confidence interval = z=1.96

Required sample size will be :

n=0.3(1-0.3)(\dfrac{1.96}{0.04})^2 (Substitute all the values in the above formula)

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∴ Required sample size = 505

6 0
3 years ago
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Verdich [7]

Answer:

∠Q = ∠U = 60°

Step-by-step explanation:

Construct the figure QSUT with your own dimensions as long as QR ≅ RU and SR ≅ RT , where R is the common midpoint.

I choose QR = 4 cm and SR = 5  cm

Then measure ∠Q and ∠U to check if they are equal.

I got that ∠Q = ∠U = 60° proving that;

∠Q ≅ ∠U

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3 years ago
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sweet-ann [11.9K]

Answer:

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divide 36 by 2

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Step-by-step explanation:

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Answer:

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Hope this helps!

8 0
3 years ago
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