Answer:
The slope of diagonal PS is -1.
The slope of diagonal QR is 1.
The midpoint of PS is (2, 2).
The midpoint of QR is (2, 2).
Perpendicular and share the same midpoint.
A dodecagon has 12 sides. That means that the smallest angle of rotational symmetry is 360/12 or 30°. All of its angles of rotational symmetry will be multiples of 30, including 180°. 135°, since it is not a multiple of 30°, is not a rotational angle for this figure. The order of °rotational symmetry is 12, as there are 12 sides you can turn this figure to (since it is regular).
Answer:
0.8894 is the probability that the test result comes back negative if the disease is present
.
Step-by-step explanation:
We are given the following in the question:
P(Disco Fever) = P( Disease) =
Thus, we can write:
P(No Disease) =
P(Test Positive given the presence of the disease) = 0.99
P( false-positive) = 4%
We have to evaluate the probability that the test result comes back negative if the disease is present, that is
P(test result comes back negative if the disease is present)
By Bayes's theorem, we can write:
0.8894 is the probability that the test result comes back negative if the disease is present
.
Answer: A
Step-by-step explanation:
A.) the substitution effect would predict Ethan would consume less books and more movies and the income effect would predict he would consume less of both.
B.) the substitution and income effects would both predict Ethan would consume less of both goods.
C.) the substitution effect would predict Ethan would consume more books and less movies, and the income effect would predict he would consume less of both.
D.) the substitution and income effects would both predict Ethan would consume more of both goods.
If he continuos to buy 4 books ans 6 movies the total amount is $170, that he does not have. He has to buy less books or go less to the movies.
A global efect of a certain good (X) price rise can be divided into 2 efects:
- substitution effect: indicates a demand reduction of X, resulting from the price rise, making X less atractive to consumption
- income effect: indicates a reduction of the demanded quantity of X resulting from the reduction of the acquisition power created by the rise of X price.
So, answer is A.
Answer:
They each have 64
Step-by-step explanation:
let C = number of fish that Cecilia has --- then, O = 2C, where O = number of fish that Oscar has --- and T = O + 8 = 2C + 8, where T = number of fish that Tasha has --- then, C + O + T = C + 2C + (2C + 8) = 148 --- or, 5C + 8 = 148 --- or, 5C = 140 --- or, C = 140/5 = 28 --- and, O = 2C = 2(28) = 56 --- and, T = O + 8 = 56 + 8 = 64
