Look at the answer choices and consider where they plot on the coordinate plane. Only one of the points is between the given two.
C.) (-5, -9)
Step-by-step explanation:
You have found a function r(V(t)). We can see that this function is a one variable function. The variable is time.
So in this specific function we can call r(v(t)), r(t).
So:
If α is the moment that the radius is 10 inches and since the function above gives radius in inches we have to solve the equation:
Which is the same as:
Answer:
Step-by-step explanation:
Hello!
a.
The objective is to study the relationship between the shape of an ibuprofen tablet and its dissolution time.
For these two independent samples of tablets from different shapes where taken and their dissolution times measured:
Sample 1: Disk.shaped tablets
n₁= 6
X[bar]₁= 255.8
S₁= 8.22
Sample 2: Oval-shaped tablets
n₂=8
X[bar]₂= 270.74
S₂= 11.90
Assuming that the population variances are equal and both samples come from normal distributions you need to test if the average dissolution time of the disk-shaped tablets is less than the average dissolution time of the oval-shaped tablets, symbolically:
H₀: μ₁ ≥ μ₂
H₁: μ₁ < μ₂
α: 0.05
Considering the given information about both populations, the statistic to use for this test is a Student t for independent samples with pooled sample variance:
Sa²= 110.76
Sa= 10.52
This test is one-tailed to the left, meaning that you will reject the null hypothesis to small values of t, the p-value has the same direction and you can calculate it as:
P(t₁₂≤-2.63)= 0.0110
Since the p-value= 0.0110 is less than the significance level α: 0.05, the decision is to reject the null hypothesis.
At a 5% significance level you can conclude that the average dissolution time of the disk-shaped ibuprofen tablets is less than the average dissolution time of the oval-shaped ibuprofen tablets.
b.
(X[bar]₁-X[bar]₂)+Sa
(255.8-270.74)+ 10.52*
(-∞;-4.815)
I hope it helps!