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serious [3.7K]
3 years ago
9

The length of a rectangle is 1 less than twice the width. Write the equation that could represent the area of the rectangle in t

erms of the width
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0

Answer:

(W2-1)xW

Step-by-step explanation:

The beginning of the equation represents the length as the question states it is one less than twice the width. Because you need to multiply width and length to get area, you place the length equation and parentheses and multiply the answer to the equation by the width :) Hope this helps!

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Students are doing an experiment: that two fair dice are tossed, and all the outcomes are recorded.Then,an event is described as
Marysya12 [62]

Answer:

1.The random variable X can take any value from( 2,- ----,12) in the event of the sample space.

2.The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3),  (2, 2),(3, 1),  (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6),  (2, 5),(3, 4),(4, 3),(5, 2), (6, 1),   (2, 6),(3, 5),   (4, 4), (5, 3), (6, 2),(3, 6), (4, 5),  (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6),  (6,5),(6,6)]

3. The probability of getting a 4 =   1/12

4. The probability of getting a 12 = 1/36

Step-by-step explanation:

There are 36 outcomes in all and the event shows the possible numbers obtained after the sum .

The event will be E= [ 2,3,4,5,6,7,8,9,10,11,12]

The random variable X can take any value from( 2,- ----,12) in the event of the sample space.

The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3),  (2, 2),(3, 1),  (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6),  (2, 5),(3, 4),(4, 3),(5, 2), (6, 1),   (2, 6),(3, 5),   (4, 4), (5, 3), (6, 2),(3, 6), (4, 5),  (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6),  (6,5),(6,6)]

that is it has all the possible outcomes of both the dice.

The probability of getting a 4= Number of fav outcome/ no of possible outcomes=  3/ 36= 1/12

The probability of getting a 12= Number of fav outcome/ no of possible outcomes=1/36

6 0
3 years ago
If the marginal revenue (in dollars per unit) for a month is given by MR = −0.5x + 400, what is the total revenue from the produ
Vesna [10]

Given:

Marginal revenue (in dollars per unit) for a month is

MR=-0.5x+400

To find:

The total revenue from the production and sale of 30 units.

Solution:

We know that, total revenue is integration of marginal revenue with respect to quantity.

TR=\int MR dx

TR=\int (-0.5x+400) dx

TR=-0.5\int x dx+400\int 1 dx

TR=-0.5\times \dfrac{x^2}{2}+400x

Now, substitute x=30 in the equation of Total Revenue (TR).

TR=-0.5\times \dfrac{30^2}{2}+400(30)

TR=-0.5\times \dfrac{900}{2}+12000

TR=-225+12000

TR=11775

Therefore, the total revenue from the production and sale of 30 units is $11,775.

6 0
2 years ago
Can someone pls help?
likoan [24]

Answer:

D

Step-by-step explanation:

If you think of the x-axis as your horizontal line, you can see that there is more than one value for x for y=0.

For instance, (-2,0), (0,0), (0,2).

3 0
2 years ago
Which two of the following are characteristics of surveys?
Hatshy [7]

Answer:

<em>B. Statistical analysis is applied to the results of the study.</em>

<em>B</em><em> </em><em>and </em><em>C.</em>

5 0
3 years ago
Determine the FV if you invest N$ 10 000 today at 12% interest for 8 years?<br>​
Rashid [163]

Answer:

24,760

Step-by-step explanation:

10000(1.12)^8

7 0
2 years ago
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