PLEASE HELP!! Show simple working out

Mathematics

1 answer:

motikmotik3 years ago

6 0

In order to estimate the mean, you need to choose a value to represent the number in each category of accidents. It is often convenient to use the middle value of the range.
.. (4*6 +10*10 +15*6 +20*9)/(6 +10 +6 +9) = 394/31 ≈ 12.7

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The area of a square patio is 225 square feet. How long is each side of the patio? (QUICK I HAVE AN EXAM LOL)

frosja888 [35]

Answer:

15 feet

Step-by-step explanation:

Since this is a square the sides are of the same length.

Now the side multiplied by itself gives 225. Hence the length of the side is a number which multiplied by itself gives 225. It is easy to see that 15 × 15 = 225. Therefore the side is 15 feet long.

6 0

3 years ago

TeeVee Electronics, Inc., makes console and wide-

Tom [10]

Answer:

First we need to put all the given information in a table, that way we'll express it better into inequalities.

Cost Production Max.

Console screen (x) $600 450

Wide-screen (y) $900 200

$360,000

We have:

$600x+900y \leq 360,000$

Because they can't spend more than $360,000 in production.

$x\leq 450\\y\leq 200$

Because the number of television is restricted.

The profit function is

$P(x,y)=125x+200y$ (this is the function we need to maximize).

First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).

Now, we test each point in the profit function to see which one gives the highest profit.

For (300,200):

$P(300,200)=125(300)+200(200)=37,500+40,000=77,500$

300 console screen and 200 wide screen give a profit of $77,500.

For (450,100):

$P(450,100)=125(450)+200(100)=56,250+20,000=76,250$

450 console screen and 100 wide screen give a profit of $76,250.

<h3>Therefore, to reach the maximum profits, TeeVee Electronic, Inc., must produce 300 console screen televisions and 200 wide-screen televisions to profit $77,500,</h3>