Step-by-step explanation:
soln;
given; p(x) = x^4 - 3x^3 - 6x^2 + 9
using remainder theorem;
p(x) = p(a)
= p(2)
= (2)^4 - 3(2)^3 - 6(2)^2 + 9
= -23
Find the circumference:
Circumference = pi x radius x 2 = 138.16 feet
Linear travel = circumference x rotations
linear travel = 138.16 x 20 = 2.763.2 feet.
Round off to 2,763 feet
Answer:
The sample size must be approximately 1067 to get a margin of error of 0.03.
Step-by-step explanation:
We are given the following in the question:
Margin of error = 0.03
Significance level = 5%
Margin of error =

Since, no prior proportions are given, we take


Putting values, we get,

Thus, the sample size must be approximately 1067 to get a margin of error of 0.03.
D, Store 1. $26.62/38 = 0.74
Store 2. $22.42/28 = 0.80
Number of adult dogs a kennel has = 8 dogs.
Number of puppies = 14 puppies.
<h3>We need to find the ratio of adult dogs to puppies = Number of adult dogs: Number of puppies.</h3><h3>= 8:14.</h3>
Now, we need to write 8:14 in fraction form 
Greatest common factor of 8 and 14 is 2.

.
<h3>Therefore, ratio of adult dogs to puppies is 4:7.</h3>