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Helen [10]
3 years ago
7

The length of a rectangular wire frame with dimensions of 12 cm × 8 cm increases at the rate of 0.5 cm per second, while its wid

th changes such that the perimeter remains the same. What part of the area of the initial rectangle is the area of the final rectangle after 8 seconds ?
Mathematics
1 answer:
arsen [322]3 years ago
7 0

Answer:

2/3

Step-by-step explanation:

Since the length increases by 0.5 cm every second, after 8 seconds the length will increase by 4 cm. 12 + 8 + 12 + 8 = 40, and 40 - (16 + 16) = 8. 8/2 = 4, so the width is now 4. 16 * 4 = 64, and 12 * 8 = 96. 64/96 = 2/3.

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X/6=9/20<br> What is the answer?
Whitepunk [10]

Step-by-step explanation:

\frac{x}{6}  =  \frac{9}{20}  \\

x \times 20 = 9 \times 6

20x = 54

x =  \frac{54}{20}  \\

x = 2.7

8 0
2 years ago
Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly hi
ziro4ka [17]

Answer:

If the weight is higher than 5.8886 gr would be considered significantly high

If the weight is lower than 5.6121 gr would be considered significantly low

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(5.75241,0.06281)  

Where \mu=5.75241 and \sigma=0.06281

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

For the case when z =-2 we can do this:

-2 = \frac{X-5.75241}{0.06281}

And if we solve for X we got:

X = 5.75241 -2*0.06281 =5.6121

And for the other case when Z=2 we have:

2 = \frac{X-5.75241}{0.06281}

And if we solve for X we got:

X = 5.75241 +2*0.06281 =5.8886

If the weight is higher than 5.8886 gr would be considered significantly high

If the weight is lower than 5.6121 gr would be considered significantly low

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Ms. Blevins wants to survey a random sample of students at her middle school about the amount of homework assigned each night. W
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I think maybe 3) would make the most sense because she wants a random sample of students and the other options are specific on the type of students.
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kirill [66]
A.20 is the right answer
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3 years ago
Read 2 more answers
A square is inscribed in an isosceles right triangle with the length of the leg equal to 2 in. as shown on the figure. Find the
exis [7]

Answer:

4

Step-by-step explanation:

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