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satela [25.4K]
3 years ago
15

Solve the following simultaneous linear equations.2x + y = 54x – 3y = -10​

Mathematics
1 answer:
Jet001 [13]3 years ago
7 0

Answer:

(1/2,4)

Step-by-step explanation:

First, determine y in first equation: 2x+y=5 or  y=5-2x

replace value of y determined in first equation (5-2x) into 2nd equation    

4x-3(5-2x)=-10

4x-15+6x=10

10x=5

x=1/2

put value of x into either equation to solve for y so

2(1/2)+y=5

1+y=5

y=4

answer: x=1/2, y=4

check answer by substituting x and y into either equation:

4x-3y=-10

4(1/2)-3(4)=-10

2-12=-10

-10=-10

or

2x+y=5

2(1/2)+4=5

1+4=5

5=5

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Help please quickly​
antoniya [11.8K]

This is proportion so we have to set it up as _/_=_/_

So we would set this up as 18/2=x/10

We multiply 5 on both side.

2x5= 10

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4 0
3 years ago
A random sample of 25 statistics examinations was selected. The average score in the sample was 76 with a variance of 144. Assum
ki77a [65]

Answer:

The confidence interval is from 69.82 o 82.18

Step-by-step explanation:

Using this formula X ± Z (s/√n)

Where

X = 76 --------------------------Mean

S = Standard Deviation

If Variance = 144

S = √144

S = 12

n = 25 ----------------------------------Number of observation

Z = 2.576 ------------------------------The chosen Z-value from the confidence table below

Confidence Interval || Z

80%. || 1.282

85% || 1.440

90%. || 1.645

95%. || 1.960

99%. || 2.576

99.5%. || 2.807

99.9%. || 3.291

Substituting these values in the formula

Confidence Interval (CI) = 76 ± 2.576 (12/√25)

CI = 76 ± 2.576(12/5)

CI = 76 ± 2.576(2.4)

CI = 76 ± 6.1824

CI = 76 + 6.1824 ~ 76 - 6.1824

CI = 82.1824 ~ 69.8176

CI = 82.18 ~ 69.82

In other words the confidence interval is from 69.8176 to 82.1824

4 0
3 years ago
Simplify 10+6/2+3 pls help quickly
bixtya [17]
10+6=16
2+3=5
16/5 or 3.2
The answer is 16/5 or 3.2
6 0
3 years ago
How do I solve this?
Alex787 [66]

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3 years ago
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