Answer:
<h2>
CYLINDER</h2>
Surface Area = 471.2 cm^2
<h2>
TRIANGULAR PRISM</h2>
Surface Area = 60.75 m^2
Step-by-step explanation:
<h2>
CYLINDER</h2>
The surface area formula for a cylinder is π x diameter x (diameter / 2 + height), where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is π x radius x 2 x (radius + height). ( π =3.14 )
FORMULA:
π x 5 x 2 x 15
WORK:
π x 5 = 15.7
15.7 x 2 = 31.4
31.4 x 15 = 471
<h2>
TRIANGULAR PRISM</h2>
The surface area formula for a triangular prism is 2 * (height x base / 2) + length x width1 + length x width2 + length x base.
FORMULA:
2 x (2.5 x 1.5/2) + (6 x 4) + (6 x 4) + (6 x 1.5)
WORK:
(2.5 x 1.5) = 3.75/2 = 1.875
1.875 x 2 = 3.75
(6 x 4) = 24
(6 x 4) = 24
(6 x 1.5) = 9
3.75 + 24 + 24 + 9 = 60.75
That looks like a translation; let's check. We have
A(-5,1), B(-3,7), A'(3,-1), B'(5,5)
If it's a translation by T(x,y) we'd have
A' = A + T
B' = B + T
so
T = A' - A = (3,-1) - (-5,1) = (8,-2)
and also
T = B' - B = (5, 5) - (-3, 7) = (8,-2)
They're the same so we've verified this transformation is a translation by (8,-2), eight right, two down.
Answer:
Classical probability
Step-by-step explanation:
- Classical property is that type of probability or statistical concept that deals with the measurement of the odds or likelihood of some event.
- It is that form of probability that is simplest in approach and includes the equal likelihood of happening or occurrence of an event.
- In order to determine the numerical probability of an event, it makes use of the knowledge of sample spaces in contrast with the observations.
- It takes a proper note of an event in order to calculate its probability and also it deals with the likelihood of a certain event rather than making observations.
Answer:
0.01 is alpha level
Step-by-step explanation:
Given that a survey of a magazine of 1500 adults revealed that 12% chose chocolate pie.
i.e. p = proportion of people who like chocolate pie = 0.12
Margin of error = ±0.03
The value of q =1-\hat p , =1-0.12 = 0.88
The sample size n is given as 1500. Therefore, n=1500
The confidence level is given as 99%
Hence alpha = 1- confidence level
=1-0.99=0.01
Hence answer is 0.01
Answer:
The answer is option B, x = 4.2
