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Valentin [98]
3 years ago
8

What is the surface area of the rectangular prism below?

Mathematics
2 answers:
romanna [79]3 years ago
7 0

Answer:

64 cm^2

Step-by-step explanation:

surface area formula: 2(lw+wh+lh)

2(4*4+4*2+4*2)

2(16+8+8)

2(32)

64 cm^2

Irina-Kira [14]3 years ago
7 0

Answer:

SA= 64cm^2

Step-by-step explanation:

There are 4 rectangles with dimensions 2 and 4, and 2 rectangles with dimensions 4 and 4

4(2x4)+2(4x4)=64cm^2

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Use slopes to determine if the lines y=−4 and x=−1 are perpendicular.
Juli2301 [7.4K]

Answer:

they are perpindicular because they intersect at a right angle

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The reliability of a piece of equipment is frequently defined to be the probability, P, that the equipment performs its intended
Sergio [31]

Answer:

a. y=1

b. Mean= 0.5; variance=0.5

c. In the first instance, the probability that p > 0.95 would mean that we are looking for the area of the rectangle with a height of 1 between 0.95 and 1, which implies it has length 0.05.

Therefore, the area is length × height, which is 0.05 ×1 = 0.05.

Second case, the probability that p is less than 0.95 would then be one minus the probability that p is greater than 0.95, so 1 - 0.05 = 0.95

D. a horizontal line at 20 between 0.90 and 0.95, and will be zero outside of this range.

Step-by-step explanation:

With the use of probability distribution, the probability that the equipment performs has a uniform distribution with minimum 0 and maximum 1.

a) The graph of the probability distribution will be 0 outside of the range of 0 to 1, so therefore y = 0. Inside the interval from 0 to 1, it will be constant (which is a horizontal line) with height 1÷(1-0) = 1, therefore y = 1.

b) The mean of the uniform is (maximum+minimum)/2.

Therefore, (1+0)/2 = 1/2 or 0.5.

The variance of the uniform is

(maximum-minimum)^2/12,

so (1-0)^2/12 = 1/12.

c) Since the probability distribution is rectangular, you can find probabilities by recalling the area of a rectangle which is: area = length × breadth.

In the first instance, the probability that p > 0.95 would mean that we are looking for the area of the rectangle with a height of 1 between 0.95 and 1, which implies it has length 0.05.

Therefore, the area is length × breadth, which is 0.05 ×1 = 0.05.

In the second case, the probability that p is less than 0.95 would then be one minus the probability that p is greater than 0.95, so 1 - 0.05 = 0.95.

d) If it is known that p is between 0.90 and 0.95, without the value, then we would assume that p has a uniform distribution between 0.90 and 0.95 since p originally had a uniform distribution.

In this case,

f(p) =

1/(0.95-0.90) = 20, 0.90 < p < 0.95,

0, otherwise.

In a nutshell, this function will have a horizontal line at 20 between 0.90 and 0.95, and will be zero outside of this range.

6 0
3 years ago
Sam is delivering two refrigerators that each weigh 105 kilograms there is an elevator with a weight limit of 1,00 pounds
rosijanka [135]

Question:

Sam is delivering two refrigerators that each weigh 105 kilograms. There is an

elevator with a weight limit of 1,000 pounds. Can he take both refrigerators on the

elevator in one trip? (1 kilogram 2.2 pounds)

Answer: yes he can

Step-by-step explanation:

Yes he can.

He can if the total weight of the 2 refrigerator didn't exceed the weight limit of the elevator.

Therefore:

Since 1 refrigerator weigh 105kg

2 refrigerator = 2 x 105kg = 210kg

The weight limit of the elevator 1000pounds convert to kg.

Since

2.2 pounds = 1kg

1000 pounds = 1000/2.2 kg

=454.55kg

Weight limit of the elevator = 454.55kg.

Since Weight of the 2 refrigerator is less than

weight limit of the elevator, he can take both refrigerators on the elevator in one trip

5 0
3 years ago
What are the points of discontinutity y=(x-3)/x^2-12x+27
madreJ [45]

Answer:

(3, -\frac{1}{6})

Step-by-step explanation:

We can rewrite the equation as

y = \frac{x - 3}{(x - 3)(x - 9)}

Notice that we have x - 3 in both the numerator and the denominator, so it looks like we can divide it out. However, what if x - 3 is 0? Then we would have y = \frac{0}{0 \times (x - 9)} = \frac{0}{0}, which is undefined. So although it looks like the numerator and denominator can be simplified, the resulting function we would get from simplification would not have the same behavior as this one (since such a function would be defined for x = 3, but this one is not).

A point of discontinuity refers to a particular point which is included in the simplified function, but which is not included in the original one. In this case, the point which is not included in the unsimplified function is at x = 3. In the simplified version of the function, if we plug in x = 3, we get

y = \frac{1}{((3) - 9)} = -\frac{1}{6}

So the point (3, -\frac{1}{6}) is our only point of discontinuity.

It's also important to distinguish between specific points of discontinuity and vertical asymptotes. This function also has a vertical asymptote at x = 9 (since it causes the denominator to be 0), but the difference in behavior is that in the case of the asymptote, only the denominator becomes 0 for a specific value of x

5 0
3 years ago
Read 2 more answers
Renna pushed the button for the elevator to go up, but it would not move. The weight limit for the elevator is 450 kilograms, bu
alina1380 [7]
Here is the solution based on the given situation above.
Given: 450 kg = weight limit of the elevator
           750 kg = current weight of the group of passengers
           ? = number of passengers who weigh 70 kgs that need to get off the elevator
So to get the answer, first we need to deduct 450kg from 750 kgs to get the excess weight. So 750 - 450 is 300kgs. Next, we divide 300 by 70kgs to get the number of passengers that need to get off so 300/70 is 4.3. Therefore, there should be 4 passengers who weigh 70 kilograms that need to get off the elevator. 
3 0
3 years ago
Read 2 more answers
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