A scale drawing of a rectangular park is 5 inches wide and 7inches long. The actual park is 280 yards long. What is the area of
2 answers:
Answer: 56,000 square yards.
Step-by-step explanation:
Given : A scale drawing of a rectangular park is 5 inches wide and 7 inches long.
The actual park is 280 yards long.
Let x be the width of the actual park.
We know that the dimensions of scale drawing and the actual figure are proportional.
thus , width of actual park = 200 yards
Area of actual park = Length x width
=280 x 200 = 56,000 square yards.
Hence, area of actual park is 56,000 square yards.
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Answer:
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!
Answer with explanation:
It is given that , ride at an amusement park moves the riders in a circle at a rate of 6.0 m/s.
Radius of Circle = 9.0 meters
Acceleration is rate of change of velocity,which will be perpendicular to radius vector.
Also, in terms of mathematics, line from center that is radius , to point of contact that is tangent line ,which is on the circle are perpendicular to each another.
→r(radius vector) ⊥ a(Acceleration vector).
So, In option A, Radius vector is Perpendicular to acceleration of riders.
