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4 years ago

15

Assume that C(x) is in dollars and is the number of units produced and sold. For the total cost function C(x) = 0.01x² +0.5x + 3

0, find deltaC and C'(x) when x=90 and deltaX=1.

1 answer:

kykrilka [37]4 years ago

4 0

C‘(x) = dC/dx = 0.02x + 0.5

C’(90) = 2.3

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Help how do and is help?

Dimas [21]

Answer:

x = 12

Step-by-step explanation:

The total of all the angle is 180 degrees so just divide 180 by the total number of x's which is 5+4+3+2+1 = 15

180/15 = 12

If you wanted to know how much each angle is just plug in 12 for x.

So first angle is just X so it is 12 degrees.

Second angle is 2X so 2x12 = 24 degrees.

and so on for all the angles.

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3 years ago

The data found below measure the amounts of greenhouse gas emissions from three types of vehicles. The measurements are in tons

Y_Kistochka [10]

Answer:

1.

A. H0 : μ1 = μ2 = μ3

Ha : μ1 ≠ 2μ ≠ μ3

2. Test Statistics = 95%

3. Critical F-Value = 3.76

4. P-Value = 2.32

5. Conclusion : Reject the null hypothesis

6. Type of vehicle does effect the amount of green house gas emissions.

Step-by-step explanation:

The correct order of the steps of a hypothesis test is given following

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the critical value F-test for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis.

The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 95% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.

3 0

3 years ago

ValentinkaMS [17]

Answer:

152.4 cm

Step-by-step explanation:

multiply the length value by 30.48

3 0

3 years ago

Find the slope of the line<br> The slope is m=

Elza [17]

the slope should be -1/2, hope this helps!

5 0

3 years ago

A rectangular park measuring 32 yards by 24 yards is surrounded by a trail of uniform width. If the area of the park and the tra

cluponka [151]

Answer:

The width = 38 yard

Step-by-step explanation:

Given

Dimension of Park = 32 by 24 yard

Area = 1748 yd²

Required

Find the width of the park

Given that the park is surrounded by a trail;

Let the distance between the park and the trail be represented with y;

Such that, the dimension of the park becomes (32 + y + y) by (24 + y + y) because it is surrounded on all sides

Area of rectangle is calculated as thus;

Area = Length * Width

Substitute 1748 for area; 32 + 2y and 24 + 2y for length and width

The formula becomes

$1748 = (32 + 2y) * (24 +2y)$

Open Bracket

$1748 = 32(24 + 2y) + 2y(24 + 2y)$

$1748 = 768 + 64y + 48y + 4y^2$

$1748 = 768 + 112y + 4y^2$

Subtract 1748 from both sides

$1748 -1748 = 768 -1748 + 112y + 4y^2$

$0 = 768 -1748 + 112y + 4y^2$

$0 = -980 + 112y + 4y^2$

Rearrange

$4y^2 + 112y -980 = 0$

Divide through by 4

$y^2 + 28y - 245 = 0$

Expand

$y^2 + 35y -7y - 245 = 0$

Factorize

$y(y+35) - 7(y + 35) = 0$

$(y-7)(y+35) = 0$

Split the above into two

$y - 7 = 0\ or\ y + 35 = 0$

$y = 7\ or\ y = -35$

But y can't be less than 0;

$So,\ y = 7$

Recall that the dimension of the park is 32 + 2y by 24 + 2y

So, the dimension becomes 32 + 2*7 by 24 + 2*7

Dimension = 32 + 14 yard by 24 + 14 yard

Dimension = 46 yard by 38 yard

<em>Hence, the width = 38 yard</em>

5 0

4 years ago