Y is changing positively 2 units per x. Slope is 2/1. (y/x OR f(x)/x OR rise/run)
Simplifying 3y + 6 = 18.9 Reorder the terms: 6 + 3y = 18.9 Solving 6 + 3y = 18.9 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3y = 18.9 + -6 Combine like terms: 6 + -6 = 0 0 + 3y = 18.9 + -6 3y = 18.9 + -6 Combine like terms: 18.9 + -6 = 12.9 3y = 12.9 Divide each side by '3'. y = 4.3 Simplifying y = 4.3
Answer:
13:16, 3:4, 5:8.
Step-by-step explanation:
The ratio of the current ages of two students Dylan and Mike is 3:4.
Let their ages are 3x and 4x respectively.
If Dylan had been 6 years younger and Mike 6 years older, the age of Mike would have been 6 times the age of Dylan.
Hence, we can write, 6(3x - 6) = (4x + 6)
⇒ 18x - 4x = 36 + 6
⇒14x = 42
⇒ x = 3
Therefore, the current age of Dylan is 3×3 =9 years and that of Mike is 3×4 =12 years.
Therefore, the ratio of Dylan's current age to Mike's current age is 3:4. The ratio of their ages in four years ago will be (9-4):(12-4) =5:8
The ratio of their ages in four years from now will be (9+4):(12+4) =13:16
Hence, the ratios in descending order is 13:16, 3:4, 5:8.
(Answer)
That one i believe would be A
Answer:
(5.871 `; 6.127)
Step-by-step explanation:
Given :
Mean = 6
Standard deviation. σ = 0.5
Samplr size, n = 100
Zcritical at 99% confidence = 2.58
The confidence interval :
Mean ± margin of error
Margin of Error = Zcritical * σ / sqrt(n)
Margin of Error = 2.58 * 0.5/sqrt(100) = 0.129
Confidence interval :
Lower boundary = 6.00 - 0.129 = 5.871
Upper boundary = 6.00 + 0.129 = 6.129
(5.871 `; 6.127)
