Answer:
Step-by-step explanation:
Let the blue point is located at the origin.
Therefore, coordinates of the vertices of the given triangle ABC will be,
A(2, 1), B(2, -1) and C(3, -1)
Rule for the dilation of a point (x, y) by a scale factor 'k' will be,
(x, y) → (kx, ky)
By applying this rule, coordinates of the image points of the vertices will be,
A(2, 1) → A'(2k, k)
→ A'(6, 3) for (k = 3)
B(2, -1) → B'(6, -3)
C(3, -1) →C'(9, -3)
Answer:
Te correct answer is c) 0.750
Step-by-step explanation:
Lets call:
A = {Allan wins the election}
B = {Barnes wins the election}
MA = {the model predicts that Allan wins}
MB = {the model predicts Barnes wins}
We know that the model has a 50:50 chance of correctly predicting the election winner when there are two candidates. Then:
P(MA | A) = 0.5 = P(MA | B)
P(MB | B) = 0.5 = P(MB | A)
The prior probability P(A) given by the election researcher is 0.75
We must find the posterior probability P(A | MB)
We use Bayes theorem:
We used the result:
Answer:
Situation: Water is liquid at 40°C above zero and it turns to ice at below zero temperatures. For example, water at 19°C below zero is frozen.
Step-by-step explanation:
The integer that represents 19°C below zero is -19.
The integer that represents 40°C above zero is 40.
The attached number line shows that 40 is at the right of -19. So -19 < 40.
