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vitfil [10]
3 years ago
11

The elevator paused for 10 seconds after you stepped on before beginning to rise at a constant rate of 8 feet per seconds. Propo

rtional or non-proportional explain.
Mathematics
2 answers:
frosja888 [35]3 years ago
6 0

Answer:

<h2>Non-proportional.</h2>

Step-by-step explanation:

In this situation, the elevator started to move 10 seconds after you stepped on, that means, for 10 seconds, the elevator didn't move at any rate, so the slope of the line that describes this interval is zero, horizontal.

After those 10 seconds, the elevator started to move with a rate of 8 feet per seconds.

So, as you can see, there are two different ratios in the same problem, or in the same graph, that means, this situation is represented by a piecewise function, because there are two differente behaviours with different ratios, that makes the situation non-propotional.

If you graph this problem, there would be an horizontal line at the beginning at y=0 and then a proportional line after x=10, that change makes the situation non-proportional.

notsponge [240]3 years ago
3 0
Nonproportional;The graph of this situation will extend from (0, 0) to (10, 0) on the x-axis before rising.
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A ferry will safely accommodate 82 tons of passenger cars. Assume that the meanweight of a passenger car is 2 tons with standard
Shalnov [3]

Answer:

The probability that the maximum safe-weight will be exceeded is <u>0.0455 or 4.55%</u>.

Step-by-step explanation:

Given:

Maximum safe-weight of 37 cars = 82 tons

∴ Maximum safe-weight of 1 car (x) = 82 ÷ 37 = 2.22 tons (Unitary method)

Mean weight of 1 car (μ) = 2 tons

Standard deviation of 37 cars = 0.8 tons

So, standard deviation of 1 car is given as:

\sigma=\frac{0.8}{\sqrt{37}}=0.13

Probability that maximum safe-weight is exceeded, P(x > 2.22) = ?

The sample is normally distributed (Assume)

Now, let us determine the z-score of the mean weight.

The z-score is given as:

z=\frac{x-\mu}{\sigma}\\\\z=\frac{2.22-2}{0.13}\\\\z=\frac{0.22}{0.13}=1.69

Now, finding P(x > 2.22) is same as finding P(z > 1.69).

From the z-score table of normal distribution curve, the value of area under the curve for z < 1.69 is 0.9545.

But we need the area under the curve for z > 1.69.

So, we subtract from the total area. Total area is 1 or 100%.

So, P(z > 1.69) = 1 - P(z < 1.69)

P(z>1.69)=1-0.9545=0.0455\ or\ 4.55\%

Therefore, the probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.

8 0
3 years ago
Find the equation of the line that is parallel to the line x+3y=-15 that passes through the origin
Monica [59]
You would subtract x from each side. It would then be 3y=-x-15. Then you would divide all of the equation by 3. Your final answer would be y=-3x-5.
5 0
3 years ago
Find the value of x and y
velikii [3]

Answer:

2x + 20 = 3x-10

2x -3x = -20-10

-x = -30

x= 30

Checking part:

2x+20 = 2(30) +20 = 60+20 = 80

3x-10 = 3(30) - 10 = 90-10 = 80

Hence, the final answer is x = 30.

Step-by-step explanation:

6 0
3 years ago
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Carlos collects 26 stamps. Adam collects 38 more than Carlos. How many stamps do they have all together?
S_A_V [24]

Answer:

90 stamps

Step-by-step explanation:

We can solve this by writing an equation.

(38+26)+26

64+26

90

Therefore, they have 90 stamps altogether.

8 0
3 years ago
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an engineer has a 54 inch wire that she has to cut into two pieces so that one piece is 8 inches shorter than the other find the
Brilliant_brown [7]

Hey there!!

Let's take the length of the bigger piece as x inches

Then, the length of the smaller piece would be x - 8 inches

The sum of these lengths would be 54 inches

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... 2x - 8 = 54

... Add 8 on both sides

... 2x = 62

... Divide 2 on both sides

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Hence, the length of the bigger piece = 31 inches

The length of the smaller piece would be = 31 - 8 = 23 inches

Hope my answer helps!!

4 0
3 years ago
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