Formula for perimeter of a rectangle: P = 2W + 2L
Here, P = 2(x-3 ) cm + 2(3x+7) cm = 2x - 6 + 6x + 14 (cm)
Combine like terms: 8x + 8 cm (simplest form) This is the perimeter.
Now let x = 4: P(x=4) = 8(4) + 8 cm = 40 cm
Answer:
A. Based on the procedure by which this figure was generated, it is likely that the population proportion is between 44.5% and 51.5%.
Step-by-step explanation:
Confidence interval:
We build a confidence interval from a sample proportion, to get an estimate of where the population proportion should likely be.
48% of voters surveyed favored the reelection of Congressman Porkbarrel, with a margin of error of 3.5%.
48 - 3.5 = 44.5%.
48 + 3.5 = 51.5%.
Following the concept of a confidence interval, the population proportion is likely to be between 44.5% and 51.5%, and thus, the correct answer is given by option A.
Answer:
9 + 10 = 19
Step-by-step explanation:
The height is represented by h = -16t² + 4t + 20 and There is only one solution, because the solutions indicate time and time cannot be negative.
<h3>How to solve vertical motion models?</h3>
We are given the vertical model of the diver's jump as;
h = -16t² + vt + s
where;
h is height
t is time
v is velocity
s is distance
A) We are given;
Distance; s = 20 ft
velocity; v = 4 ft/s
Thus;
h = -16t² + 4t + 20
B) The solution of the model is gotten from;
-16t² + 4t + 20 = 0
Solving this quadratic equation gives;
t = 1.25 seconds or -1 second
C) B. There is only one solution, because the solutions indicate time and time cannot be negative.
Read more about Vertical Motion Models at; brainly.com/question/27526920
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