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Masja [62]
3 years ago
7

Find a formula for the described function.

Mathematics
1 answer:
mote1985 [20]3 years ago
7 0

Answer:

The area of the rectangle is A=5L-L^2.

Step-by-step explanation:

The perimeter of a rectangle is

P=2(L+W)

where, L is length and W is width.

It is given that perimeter of a rectangle is 10m.

10=2(L+W)

Divide both sides by 2.

5=L+W

Subtract L from both sides.

5-L=W

Area of a rectangle is

A=L\times W

Substitute W=(5-L) in the above formula.

A=L\times (5-L)

A=5L-L^2

Therefore, the area of the rectangle is A=5L-L^2.

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A company receives shipments of a component used in the manufacture of a component for a high-end acoustic speaker system. When
Tanya [424]

Answer:

ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434

Step-by-step explanation:

For this case we have a sample size of n = 250 units and in this sample they found that 24 units failed one or more of the tests.

We are interested in the proportion of units that fail to meet the company's specifications, and we can estimate this with:

\hat p = \frac{24}{250}= 0.096

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

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 confidence interval for a proportion is given by this formula  

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}  

For the 98% confidence interval the value of \alpha=1-0.98=0.02 and \alpha/2=0.01, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=2.33  

And the margin of error would be:

ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434

4 0
4 years ago
Faith needs 4 cups of fruit for a smoothie.
Snezhnost [94]

Answer:

We have two fruits so we have following  choices to make exactly 4 cups of fruits:


Blueberry                  Orange

0                                   4    

1                                    3

2                                    2

3                                     1

4                                     0

In case 1: when she is using 4 cup of oranges so no need of blueberry.

In case 2: when she is taking 3 cup of oranges she will use 1 cup of blueberry to get exactly 4 cups of fruits.

case 3: when she is taking 2 cup of oranges she will use 2 cup of blueberries to get exactly 4 cups of fruits.

case 4: when she is taking 1 cup of orange she will use 3 cup of blueberries to get exactly 4 cups of fruits.

case 5: when she is taking 0 cup of orange she will use 4 cup of blueberries to get exactly 4 cups of fruits.

3 0
3 years ago
Complete the real-world situation that could be modeled by the equation 150 − 8x = 170 − 12x. Xavier has $150 in his lunch accou
Mrrafil [7]

Answer:

5 days

Step-by-step explanation:

The question above is modeled by the equation :

150 − 8x = 170 − 12x.

After how many days will both have ye same amount :

Number of days = x

Collect like terms

-8x + 12x = 170 - 150

4x = 20

x = 20/4

x = 5 days

The boys will have the same amount in their account after 5 days.

8 0
3 years ago
Which is the graph of the linear function that is represented by the equation Y = 5 X-22
Ronch [10]

110

Step-by-step explanation:

7 0
3 years ago
D=1/2at² for solve for a
rjkz [21]

Answer:

a = d/0.5t²

divide both sides by 1/2t²

4 0
3 years ago
Read 2 more answers
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