Perimeter is the sum of the lengths of all sides on any given shape. In this case, we know that since the triangle is isosceles, two sides must be the same (in a triangle, two of the same angles will produce two of the same sides opposite of the angles). However, there can not be two 2 inch long sides. Think of this logically; If you had two sides of 2 inches connected to a 5 inch long side, no matter what angle you pull those 2 inch sides down, the maximum it could reach is close to their cumulative sum, or around 4 inches. Since 4 inches isn't long enough to reach above 5 inches, then the only possibility for the side lengths is 5 inches + 5 inches + 2 inches. Thus, the perimeter is 12 inches.
In the question "Marta’s mother shared a funny video of their cat on the Internet. The total number of people who had viewed the video over the first 30 days could be modeled using the function f(x) = 33(1.3)x where x is the number of days the video has been online.
About how many people had viewed the video once it had been online for 20 days?" The correct answer is 6271 because given the function f(x) = 33(1.3)^x where x is the number of days the video has been online.
For x = 20 days: f(20) = 33(1.3)^20 = 33(190.0496377) = <span>6,271</span>
Given:
standard deviation = 4.3%
sample size = 15
mean = 26.4%
error = σ/√n
error = 4.3% / √15
error = 4.3% / 3.873
error = 0.0111
0.0111 x 100% = 1.11%
f = 180 - p - c
to find the amount of fat subtract the protein and carbs from the original 180 calories
Answer:
Step-by-step explanation:
Hello!
Given the linear regression of Y: "Annual salary" as a function of X: "Mean score on teaching evaluation" of a population of university professors. It is desired to study whether student evaluations are related to salaries.
The population equation line is
E(Y)= β₀ + β₁X
Using the information of a n= 100 sample, the following data was calculated:
R²= 0.23
Coefficient Standard Error
Intercept 25675.5 11393
x 5321 2119
The estimated equation is
^Y= 25675.5 + 5321X
Now if the interest is to test if the teaching evaluation affects the proffesor's annual salary, the hypotheses are:
H₀: β = 0
H₁: β ≠ 0
There are two statistic you can use to make this test, a Student's t or an ANOVA F.
Since you have information about the estimation of β you can calculate the two tailed t test using the formula:
~
= 25.1109
The p-value is two-tailed, and is the probability of getting a value as extreme as the calculated
under the distribution 
p-value < 0.00001
I hope it helps!