The perimeter is the sum of the enclosing side.
From the figure, the perimeter is
P = 11 + (x-2) + (11-3) + [(x-2) - (x-11)] + (x-11)
= 11 + x - 2 + 8 + 9 + x - 11
= 2x + 15
Answer: 2x + 15
Answer:
See below in bold.
Step-by-step explanation:
This is the vertex form of a parabola which opens upwards.
To find the x intercept put h(x) = 0:
(x + 1)^2 - 4 = 0
(x + 1)^2 = 4
x + 1 = +/- 2
x = (-3, 0) an (1, 0) are the x-intercepts.
For the y-intercept we put x = 0
y = (0+1)^2 - 4 = -3
y-intercept = (0, -3).
The vertex is (-1, -4).
Axis of symmetry is x = -1.
The parabola defined by
y = a(x - h)² + k
has its vertex at (h,k).
After a shift by h units right, followed by a shift of k units vertically, the parabola is defined by
y = a(x - 2h)² + 2k
which has its vertex at (2h, 2k).
Answer: The vertex gets shifted by h units horizontally and k units vertically.
Answer:
(E) 0.83
Step-by-step explanation:
We will solve it using conditional probability.
Let A be the event that a TV show is successful.
P(A) = 0.5
A' be event that the show is unsuccessful
P(A') =0.5
Let B be the event that the response was favorable
P(B) = 0.6
Let B' be the event that the response was unfavorable/
P(B') = 0.4
P(A∩B) = 0.5 and P(A∩B') = 0.3
We need to find new show will be successful if it receives a favorable response.
P(A/B) = 
= 0.5/0.6
= 0.833
Answer:
Cluster sampling
No
Step-by-step explanation:
Missing part of Question
Find:
a) Which type of sample is this?
b) Is it the correct choice ?
Solution:
- Simple random sample is the one in which every individual would have equal chance of being selected.
- Stratified random sample draws simple random sample from the independent sub-groups.
- Systematic sampling is letting every kth individual be in the sample ( k as an integer )
- Convenience sampling is used for example voluntary response or a sub-group from the population.
a)
Cluster sampling was used in our case because one of all the teams were chosen and this entire team is in this sample.
b)
No. This method has limitation of giving us a shortsighted view which lacks the overview on the use of performance-enhancing drugs, we can only use this sample to draw conclusions on the team.
