I think y = 8. Since x = -3 then the equation would be y = -1(-3) +5. -1 times -3 equals 3. So now the equation is y = 3 +5. That would give you 8.
Answer:
The average rate of change between these times is 68 miles per hour
Step-by-step explanation:
Here, we are to determine the average rate of change between hour 2 and hour 7
The distance traveled at hour 2 is 140 miles
The distance traveled at hour 7 is 480 miles
So we can say we have two points and we want to know the rate of change between these points
Mathematically, we can represent the rate of change as Δ
Thus, between the two different times, we have;
Δ = (D7-D2)/(T7-T2)
where (T7,D7) = (7,480) and (T2,D2) = (2,140) represents the time and distance at hour 2 and hour 7 respectively
Now inputing the values into the equation, we have;
Δ = (480-140)/(7-2) = 340/5 = 68 miles/hour
Answer:
$5.5
Step-by-step explanation:
6 * N (notebook) + 3 * P (pen) = 27
n = 1.5 +P
6 * (1.5 + P) + 3 * P = 27
9 +6p +3p = 27
9p = 18
p (pen): $2
N (notebook): $3.5
combined cost of 1 pen and 1 notebook: $2 + $ 3.5 = $ 5.5
Answer:
Confidence interval variance [21.297 ; 64.493]
Confidence interval standard deviation;
4.615, 8.031
Step-by-step explanation:
Given :
Variance, s² = 34.34
Standard deviation, s = 5.86
Sample size, n = 27
Degree of freedom, df = 27 - 1 = 26
Using the relation for the confidence interval :
[s²(n - 1) / X²α/2, n-1] ; [s²(n - 1) / X²1-α/2, n-1]
From the chi distribition table :
X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844
Hence,
[34.34*26 / 41.923] ; [34.34*26 / 13.844]
[21.297 ; 64.493]
The 95% confidence interval for the population variance is :
21.297 < σ² < 64.493
Standard deviation is the square root of variance, hence,
The 95% confidence interval for the population standard deviation is :
4.615 < σ < 8.031
