3d -7d+ 2.8 < 5.8 -27
⇒ -4d+ 2.8 < 5.8 -27
⇒ -4d < 5.8 -27 -2.8
⇒ -4d < -24
⇒ d > (-24)/(-4)
⇒ d > 6
Final answer: d > 6~
The constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3^¼
<h3>Inverse variation</h3>
y = k ÷ x^¼
where,
- Constant of proportionality = k
When x = 3, y = 1
y = k ÷ x^¼
1 = k ÷ 3^¼
1 = k / 3^¼
1 × 3^¼ = k
k = 3^¼
Therefore, the constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3¼
Learn more about inverse variation:
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perimeter = 2L + 2W
L=8+w
perimeter = 2(8+w) +2w
80 =16+2w+2w
80 = 16 +4w
64 =4w
w=64/4 = 16
l=16+8 =24
length = 24 feet
width = 16 feet
check 2(24) +2(16) = 48 + 32 = 80
It’s would be 160 km since 160/80x60=120 min and 160/120x60=80min
When there are 1000 repetitions, the mean will be 5.002.
The charts that you have list the number of total heads when you flip the coin 10 times in each trial.
Multiply the total of each by the number number of heads for that category and divide by 1000.
1 x 0
8 x 1
43 x 2
117 x 3
2017 x 4
248 x 5
203 x 6
121 x 7
45 x 8
6 x 9
1 x 10
If you add up those products and divide by 1000, you have 5.002.
Using the law of large numbers, the experiment with 1000 rolls will be the closest to the theoretical amount.
