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deff fn [24]
2 years ago
6

The number A of tablet computers sold (in millions) can be modeled by the function A=4.5t2+43.5t+17 , where t represents the num

ber of years after 2010. In what year did the tablet computer sales reach 65 million?
Mathematics
1 answer:
Rina8888 [55]2 years ago
6 0
The problem indicates that A represents the number of tablet computers sold in millions. So, if 65 million were sold, we must substitute A = 65 to the equation. Then, we find for t.

65 = 4.5t² +43.5t + 17
Solving for t using a calculator,
t = 1 and -10.67

Let's take the positive root. So, t=1.
That means the year would be 1 year after 2010. <em>Therefore, the answer is 2011.</em>
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the perimeter of a rectangular campsite is 64m and its area is 207m^2. find the length and breadth of the campsite
NNADVOKAT [17]

Answer:

The length is 23\ m and the breadth is 9\ m

Step-by-step explanation:

Let

x ----> the length of a rectangular campsite

y ----> the breadth of a rectangular campsite

we know that

The perimeter of a rectangle is equal to

P=2(x+y)

P=64\ m

so

64=2(x+y)

32=(x+y)

y=32-x ------> equation A

The area of a rectangle is equal to

A=xy

A=207\ m^{2}

so

207=xy -----> equation B

substitute equation A in equation B

207=x(32-x)\\\\207=32x-x^{2}\\\\x^{2}-32x+207=0

Solve the quadratic equation by graphing

The solution is x=23\ m ( I assume that the length is  greater than the breadth)

see the attached figure

Find the value of y

y=32-23=9\ m

therefore

The length is 23\ m and the breadth is 9\ m

4 0
2 years ago
Xavier is a salesperson who is paid a fixed amount of $455 per week. He also earns a commission of 3% on the sales he makes. If
melomori [17]
Xavier wants to earn more then 575 dollars a week, he will have to sale x<3,600 a week . So the answer is C
5 0
2 years ago
The Pew Research Center reported in 2018 that 68% of U.S. adults rated "reducing health care costs" as a national priority. This
Zanzabum

Answer:

interpretation of p-value

With the information from the exercise we can deduce that the number of adults in North America who are going to reduce the costs of medical care, considering this as a national priority, are within a probability of 0.045, however the real data tells us that 0.68 of adults are in favor of this reduction

8 0
2 years ago
The coefficient of determination: a. cannot be negative b. is the square root of the coefficient of correlation c. can be negati
patriot [66]

Answer:

Correct statement: (a) and (b).

Step-by-step explanation:

R-squared is a statistical quantity that measures, just how near the values are to the fitted regression line. It is also known as the coefficient of determination.

The coefficient of determination is the squared value of the correlation coefficient.

That is,

R^{2}=(r(X, Y))^{2}

The correlation coefficient between two variables is the measure of the strength and direction of the relationship between two variables.

Its values ranges from -1.00 to +1.00.

Although <em>r</em> can be negative but R² is always positive, since square of a negative number is also positive.

So the correct statements are:

a. cannot be negative

b. is the square root of the coefficient of correlation

5 0
2 years ago
a bonus of 4200 is shared by 10 people who works for a company.40% of the bonus is shared equally between 3 managers the rest of
oee [108]

Step-by-step explanation:

if each the bonus is shared equally each will get 420

if 40% is shared by managers each manager will get 560

if 7 sales persons share 60% each will get 360

therefore Peter salesperson will get 360

but he thinks he will get 336 because if 420 is 125% that is including his extra 25% then hundred percent of the 420 is 336 which is not what he will get there for Janet is correct

7 0
2 years ago
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