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mr_godi [17]
2 years ago
7

Write four solutions for the following equation 4x+7y=12

Mathematics
1 answer:
AlladinOne [14]2 years ago
8 0
You just plug in a value for x and calculate y

If x = 0, y = 12/7
If x = 1, y = 8/7
If x= 2, y = 4/7
If x= 3, y =O

(0, 12/7)
(1, 8/7)
(2,4/7)
(3,0)

Have a good day!
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Three items weighing 5.28 kg 3.68 kg and 5.49 kg are to be posted but are found to be overweight. By how much does the total wei
NikAS [45]

Answer:

1.69 kg

Step-by-step explanation:

add than subtract

yep thats it

3 0
2 years ago
What are the coordinates of the point on the directed line segment from (-10, -3)(−10,−3) to (2, -3)(2,−3) that partitions the s
azamat

Answer:

the coordinates of the point would be (-2.5,3)

Step-by-step explanation:

We want to split the segment from (-10,-3) to (2,-3) into segments with a ratio of 5:3. Since the y-coordinate is -3 for both coordinates, the y-coordinate of the partitioning point will be -3. The ratio of 5:3 corresponds to 5/8 of the distance between the x-coordinates of the two points. So we would be moving 5/8 of the distance from -10 to 2 for the x-coordinate, so the x-coordinate would be -10 + 5/8 (12) = -2.5. So the coordinates of the point would be (-2.5,3)

6 0
3 years ago
What is the smallest value of 122
attashe74 [19]
121.5
121.5 rounded to nearest whole number is 122 --> 121.49 rounded to the nearest whole number is 121
4 0
3 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

a.

ŷ = 17.49 + 1.0334(89)

ŷ = 109.4626

ŷ = 109.46 --- Approximated

Predicted Amount = $109.46

b.

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)

c.

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
Is 3 yards bigger than 21 feet
umka21 [38]
Yes, 3 yards is bigger than 21 feet because there are 3 feet in a yard. 
5 0
3 years ago
Read 2 more answers
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