Answer:
Vertex is (-3,2)
Step-by-step explanation:
The vertex is either the absolute minimum or maximum of a function, depending on how the function opens.
In this case, since this absolute value function opens upward, the vertex is the absolute minimum of the function, which is found at (-3,2).
Therefore, the vertex of the absolute value graph is (-3,2).
Answer: P(A and B) is greater than P(A)
P(A and B) should be smaller than P(A).
Step-by-step explanation:
Given : P(A and B) = 0.40
P(A) = 0.20
Using the given formula of the conditional probability will be
But we know that the probability of any event cannot be more than 1.
Also, the probability of the intersection must be less than the probability of individual event.
Thus , in the given question P(A and B) must be smaller than P(A).
Answer:
The solution is shown in the graph.
x= 2.3
y= 4.3
Length of x is 98.2 m
<u>Step-by-step explanation:</u>
Step 1:
Use the trigonometric ratio tan 27° to find the common side of both the right angled triangles.
tan 27° = opposite side/adjacent side = opposite side/9
∴ Opposite side = 9 tan 27° = 9 × - 3.27 = -29.46 m
Step 2:
Use this side and trigonometric ratio cosine to find the value of x.
cos 49° = adjacent side/x = -29.46/x
∴ x = -29.46/cos 49° = -29.46/0.30
= 98.2 m (negative value neglected)
80x5,000 is 400,000. Not sure what you're asking though.
