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2 years ago

Use substitution method 3x +4y+175x-2y=11

Mathematics

1 answer:

Viefleur [7K]2 years ago

4 0

$3x +4y+175x-2y=11$

$4y-2y+175x+3x=11$

$2y+178x=11$

$2y=11-178x$

$y=\frac{11-178x}{2}$

$y=-89x+\frac{11}{2}$

$178x=-2y+11$

$x=\frac{-2y+11}{178}$

$x=\frac{-1}{89} y+\frac{11}{178}$

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3 years ago

The copy machine runs for 20 seconds and then jams. About how many copies were made before the jam occurred? Round your answer t

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2 years ago

The following data on average daily hotel room rate and amount spent on entertainment (The Wall Street Journal, August 18, 2011)

Zielflug [23.3K]

Answer:

a. Predicted Amount = $109.46

b. Confidence Interval = (94.84,124.08)

c. Interval = (110.6883,188.8517)

Step-by-step explanation:

Given

ŷ = 17.49 + 1.0334x.

SSE = 1541.4

ŷ = 17.49 + 1.0334(89)

ŷ = 109.4626

ŷ = 109.46 --- Approximated

Predicted Amount = $109.46

ŷ = 17.49 + 1.0334(89)

ŷ = 109.4626

ŷ = 109.46

First we calculate the standard deviation

variance = SSE/(n-2)

v = 1541.4/(9-2)

v = 1541.4/7

v = 220.2

s = √v

s = √220.2

s = 14.839

Then we calculate mean(x) and ∑(x - (mean(x))²

X --- Y -- Mean(x) --- ∑(x - (mean(x))²

148 -- 161 -- 43-- 1849

96 || 105|| -9 || 81

91 ||101 || -14 || 196

110 || 142 || 5 || 25

90 || 100 || -15 || 225

102 || ||120 ||-3|| 9

136 || 167 ||31 ||961

90 || 140 ||-15 ||225

82 || 98 ||-23 || 529

Sum 945 || 1134|| 0 ||4100

Mean (x) = 945/9 = 105

∑(x - (mean(x))² = 4100

α = 1 - 95% = 5%

α/2 = 2.5% = 0.025

tα,df = n − 2 = t0.025,7 =2.365

Confidence interval = 109.46 ± 2.365 * 14.839 √((1/9)+ (89-105)²/4100

Confidence Interval = (109.46 ± 14.62)

Confidence Interval = (94.84,124.08)

ŷ = 17.49 + 1.0334(128)

ŷ = 149.7652

ŷ = 149.77

Interval = 149.77 ± 2.365 * 14.839 √((1/9)+ (128-105)²/4100

Interval = 149.77 ± 39.0817

Interval = (110.6883,188.8517)

3 0

3 years ago

The price of a CD player was reduced from $80 to $52. What was the percent decrease in the price of the CD player? © 28% 0 35% 5

GaryK [48]

Answer:

35%

Step-by-step explanation:

Given data

Initial price= $80

Final price= $52

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% decrease= 80-52/80*100

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2 years ago

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Sunny_sXe [5.5K]

Answer:

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Step-by-step explanation:

The equation is written in the form y = mx+b

We need to find the slope

m = (y2-y1)/(x2-x1)

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= 23/1

The slope is 23

y= 23x +b

Put in a point for x and y to determine b

10 =23(4) +b

10 =92 +b

Subtract 92 from each side

10-92 = 92-92 +b

-82 =b

The equation is

y = 23x-82

3 0

3 years ago

Use substitution method 3x +4y+175x-2y=11​

Use substitution method 3x +4y+175x-2y=11