Answer:
slope: 3; vertex: (5, -8)
Step-by-step explanation:
Compare the given y+8=3(x−5) to the slope-vertex form y - k = m(x - h). We see that the slope, m, must be 3 and the vertex must be (h, k): (5, -8).
The answer is 14.60. Hope this helps!
Answer:
Probability that deliberation will last between 12 and 15 hours is 0.1725.
Step-by-step explanation:
We are given that a recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.
<em>Let X = length of time that juries deliberate on a verdict for civil trials</em>
So, X ~ N(
)
The z score probability distribution is given by;
Z =
~ N(0,1)
where,
= mean time = 12.56 hours
= standard deviation = 6.7 hours
So, Probability that deliberation will last between 12 and 15 hours is given by = P(12 hours < X < 15 hours) = P(X < 15) - P(X
12)
P(X < 15) = P(
<
) = P(Z < 0.36) = 0.64058
P(X
12) = P(
) = P(Z
-0.08) = 1 - P(Z < 0.08)
= 1 - 0.53188 = 0.46812
<em>Therefore, P(12 hours < X < 15 hours) = 0.64058 - 0.46812 = 0.1725</em>
Hence, probability that deliberation will last between 12 and 15 hours is 0.1725.
Answer:
The quadratic function whose graph contains these points is 
Step-by-step explanation:
We know that a quadratic function is a function of the form
. The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.
Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.



We can solve these system of equations by substitution
- Substitute


- Isolate a for the first equation

- Substitute
into the second equation



The solutions to the system of equations are:
b=-2,a=-1,c=-2
So the quadratic function whose graph contains these points is

As you can corroborate with the graph of this function.