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Rudiy27
3 years ago
11

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar.
y=-x^2+90x-454
Mathematics
1 answer:
RUDIKE [14]3 years ago
8 0

9514 1404 393

Answer:

  $1571

Step-by-step explanation:

If we assume that y is profit in dollars, the maximum value of y is revealed by a graph to be ...

  ymax = $1571

The maximum profit the company can make is $1571 at a selling price of $45 each.

_____

The function can be written in vertex form as ...

  y = -(x^2 -90x) -454

  y = -(x^2 -90x +45^2) -454 +45^2

  y = -(x -45)^2 +1571

Because the leading coefficient is negative, we know this vertex represents a maximum. (x, y) = (45, 1571) at the vertex. Maximum profit is $1571.

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A brochure claims that the average maximum height for a certain type of plant is 0.7 m. A gardener suspects that this is not acc
larisa [96]

Answer:

As Z, it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.

Step-by-step explanation:

1. Relevant data:

\mu=0.70\\N=40\\\alpha=0.05\\X=0.65\\s=0.20

2. Hypotesis testing

H_{0}=\mu=0.70

H_{1} =\mu< 0.70

3. Find the rejection area

From the one tail standard normal chart, whe have Z-value for \alpha=0.05 is 1.56

Then rejection area is left 1.56 in normal curve.

4. Find the test statistic:

Z=\frac{X-\mu_{0} }{\sigma/\sqrt{n}}

Z=\frac{0.65-0.70}{0.20/\sqrt{40}}\\Z=-1.58

5. Hypotesis Testing

Z_{\alpha}=1.56\\Z=-1.58

-1.58

As Z, it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.

4 0
4 years ago
-7 2/3 + ( -5 1/2 ) + 8 3/4 = ? <br><br> A: -4 5/12 <br> B: -21 11/12 <br> C: -4 2/3 <br> D: 6 7/12
frez [133]

Answer:

-4 5\12

Step-by-step explanation:

Identify the Least Common Denominator, 12, then just simply evaluate.

8 0
4 years ago
Please help me thanks :)
Lina20 [59]

Answer:

A

Step-by-step explanation:

To sovle this we must combine the numbers togther and the variables togther.

We have:

8c+6-3c-2

Lets take out the c's and combine them:

8c -3c

=

5c

Now lets take out the numbers:

6-2

=

4

Now lets put these back together and we get the expression:

5c+4

This looks like A.

Hope this helps! :D

8 0
3 years ago
How do I find the simplest form,for this problem 4-2(3+6)+2-2=
levacccp [35]
Try using PEMDAS,
Parentheses
Exponents 
Multiplication
Division
Addition
Subtraction

So just do the problem in that order.

5 0
4 years ago
Meg has 26 toy ponies.She gets 6 more for her birthday.She displays half of them on a shelf and puts the rest in a box.How many
Mazyrski [523]

Answer:

16 ponies are displayed

Step-by-step explanation:

First you need to add 26 and 6 to get 32.Then you need to cut 32 in half or divide it by 2 for your answer.

5 0
4 years ago
Read 2 more answers
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