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Taya2010 [7]
2 years ago
15

The length of a rectangle is 2x+1 and the width is 4x-3. Write an expression to calculate the area. (Note: Area= length • width)

Mathematics
1 answer:
maw [93]2 years ago
7 0
(4x-3)(2x+1) expand the brackets: 8x^2 -2x -3 = area
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4.87138

Step-by-step explanation:

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HELP PLZ DUE SOON !!! The members of a club are making friendship bracelets to sell. Kate and Brooke made 126 bracelets over the
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3 years ago
Ron finds 9 books at a bookstore that he would like to buy, but he can afford only 5 of them. In how many ways can he make his s
pashok25 [27]

Answer:

15,120 for the first question. 1,680 if one of the books is a must

Step-by-step explanation:

When Ron chooses his first book, he has 9 options. After that, when he chooses his second book, he only has 8 choices because he already picked one of them. By his third choice, he only has 7 choices and so on.

We can make an equation to represent this,

9 x 8 x 7 x 6 x 5

Multiplying all of that out gets you 15,120.

The second problem is even easier. Since one of the books is already chosen for him, he starts off only having 8 options. Since he is only choosing four books this time, we are only multiplying four numbers.

8 x 7 x 6 x 5

Multiplying all of that out tells you there are 1,680 ways he can make his selection in the second scenario.

5 0
3 years ago
How to write a whole number as a improper fraction
Dimas [21]
Follow these 3 steps to convert a mixed number to an improper fraction:<span>Multiply the whole number by the denominator.Add the answer from Step 1 to the numerator.<span>Write answer from Step 2 over the denominator.</span></span>
4 0
3 years ago
The life in hours of a biomedical device under development in the laboratory is known to be approximately normally distributed.
Lilit [14]

Answer:

We conclude that the true mean life of a biomedical device is greater than 5200 hours.

Step-by-step explanation:

We are given that the life in hours of a biomedical device under development in the laboratory is known to be approximately normally distributed. For this a random sample of 15 devices is selected and found to have an average life of 5323.8 hours and a sample standard deviation of 220.9 hours.

We have to test that the true mean life of a biomedical device is greater than 5200 or not.

Let, Null Hypothesis, H_0 : \mu \leq 5200 {means that the true mean life of a biomedical device is less than or equal to 5200 hours}

Alternate Hypothesis, H_1 : \mu > 5200 {means that the true mean life of a biomedical device is greater than 5200 hours}

The test statistics that will be used here is;

        T.S. = \frac{Xbar-\mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, Xbar = sample average life = 5323.8 hours

               s = sample standard deviation = 220.9 hours

               n = sample devices = 15

So, test statistics = \frac{5323.8-5200}{\frac{220.9}{\sqrt{15} } } ~ t_1_4

                            = 2.171

Since, we are not given with the significance level, so we assume it to be 5%, now the critical value of t at 14 degree of freedom in t table is given as 1.761. Since our test statistics is more than the critical value of t which means our test statistics will lie in the rejection region. So, we have sufficient evidence to reject our null hypothesis.

Therefore, we conclude that the true mean life of a biomedical device is greater than 5200 hours.

8 0
2 years ago
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