Answer:
Step-by-step explanation:
First, we need to isolate 
by taking it common from both terms on the right:
Now, since we want in terms of the other variables, we can divide the left hand side (A) by whatever is multiplied with on the right hand side. Then we will have an expression for . Shown below:
This is the xpression for
Answer: 12.10
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
The formula to calculate the z-score :-
For x= 5 degrees
For x= 10 degrees
The P-value : 
In percent , 
Hence, the percentage of days had a low temperature between 5 degrees and 10 degrees = 12.10%
Answer:
The answer should round up to 40 minutes. Do it to make sure the answer is 4 which in this case = 40
Step-by-step explanation:
Y = -(1/2)(x-2)² +8
Re write it in standard form:
(y-8) = -1/2(x-2)² ↔ (y-k) = a(x-h)²
This parabola open downward (a = -1/2 <0), with a maximum shown in vertex
The vertex is (h , k) → Vertex(2 , 8)
focus(h, k +c )
a = 1/4c → -1/2 = 1/4c → c = -1/2, hence focus(2, 8-1/2) →focus(2,15/2)
Latus rectum: y-value = 15/2
Replace in the equation y with 15/2→→15/2 = -1/2(x-2)² + 8
Or -1/2(x-2)² +8 -15/2 = 0
Solving this quadratic equation gives x' = 3 and x" = 2, then
Latus rectum = 5
Answer:
1 unit to the right
Step-by-step explanation:
The y-axis is the vertical line and the point (1,-3) is one unit to the right of the vertical line
