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3 years ago

How do I do this problem

Mathematics

1 answer:

Olegator [25]3 years ago

4 0

Reduce the expression, if possible, by cancelling the common factors.
-9

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Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)

irina1246 [14]

Answer:

Maximize C = $9x + 7y$

$8x + 10y \leq 17$

$11x + 12y\leq 25$

and x ≥ 0, y ≥ 0

Plot the lines on graph

$8x + 10y \leq 17$

$11x + 12y\leq 25$

$x\geq 0$

$y\geq 0$

So, boundary points of feasible region are (0,1.7) , (2.125,0) and (0,0)

Substitute the points in Maximize C

At (0,1.7)

Maximize C = $9(0) + 7(1.7)$

Maximize C = $11.9$

At (2.125,0)

Maximize C = $9(2.125) + 7(0)$

Maximize C = $19.125$

At (0,0)

Maximize C = $9(0) + 7(0)$

Maximize C = $0$

So, Maximum value is attained at (2.125,0)

So, the optimal value of x is 2.125

The optimal value of y is 0

The maximum value of the objective function is 19.125

4 0

3 years ago

Adult men have heights that a normally distributed with a mean of 69.5 inches and a standard deviation of 2.4 inches. Adult wome

Aliun [14]

Answer:

Step-by-step explanation:

From the information given:

For Adult Men

Mean $\mu$ = 69.5

Standard deviation $\sigma$ = 2.4

observed value X = 74

For Adult Women

Mean $\mu$ = 63.8

Standard deviation $\sigma$ = 2.6

observed value X = 70

Therefore ; the values for their z scores can be obtained in order to determine who is more unusually tall within his or her respective sex

For Adult Men :

$z = \dfrac{X- \mu}{\sigma}$

$z = \dfrac{74- 69.5}{2.4}$

$z = \dfrac{4.5}{2.4}$

z = 1.875

For Adult Women :

$z = \dfrac{X- \mu}{\sigma}$

$z = \dfrac{70- 63.8}{2.6}$

$z = \dfrac{6.2}{2.6}$

z = 2.3846

Thus; we can conclude that , the women is more unusually tall within his or her respective sex

5 0

3 years ago

Find the area of the parallelogram.

frozen [14]

Answer:216 cm

Step-by-step explanation:

Step 1:Find the base and height base:18 cm height:12 cm.

Step 2:Multiply the base and height 18 cm*12 cm=216 cm.

Step 3:Answer 216 cm.

8 0

3 years ago

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Solve for xx. Round to the nearest tenth, if necessary.

Anna [14]

Answer:

x = 4.3

Step-by-step explanation:

$cos 21 = \frac{adjacent}{hypotenuse} = \frac{4}{x}\\\\x = \frac{4}{cos21} = 4.28$

x= 4.3

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3 years ago

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an integer is one more than four times another. if the product of two integers is 39, then find the integers

Sholpan [36]

Sorry if its illegible, you can ask if its not clear

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3 years ago

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