Answer:
A. Assuming that the mean weights of wolves in the populations are equal, the probability of obtaining a test statistic that is greater than 2.771 or less than −2.771 is 0.01.
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
9/20 is 45%
Answer:
5(8-x)
Step-by-step explanation:
Fact using the GCF (Greatest Common Factor) of 40 and 5
Factors of 5:
1,5
Factors of 40:
1,2,4,5,8,10,20,40
The greatest factor they both have is 5
Factor by distributing out a 5
40-5x
5(8-x)
Hi there!
To solve, we must use the following trig identity:
sin(u - v) = sin(u)cos(v) - sin(v)cos(u)
We can rewrite the left hand side of the equation as:

Split the fraction:

First fraction reduces to 1:

Simpify each with common arguments:

Answer:
1. H = 29 cm
2. θ = 44°
Step-by-step explanation:
1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:

Where:
L: is the sides of the isosceles triangle = 42 cm
B: is the base = 30 cm
H: is the height =?
Then, the height is:

2. The two equal angles (θ) can be found using the following trigonometric identity:


Hence, the two equal angles are 44°.
I hope it helps you!