United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills. Each mill has a different
production capacity (in tons per day) for each grade, as follows:
Mill
Aluminum
Grade 1 2
High 6 2
Medium 2 2
Low 4 10
The company has contracted with a manufacturing firm to supply at least 12 tons of high-grade aluminum, 8 tons of medium-grade aluminum, and 5
tons of low-grade aluminum. It costs United $6,000 per day to operate mill 1 and $7,000 per day to operate mill 2. The company wants to know the
number of days to operate each mill in order to meet the contract at the minimum cost.
Formulate a linear programming model for this problem.

Answer:

The 95% confidence interval for the true proportion of internet users who are women in Europe is (0.3159, 0.3841).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A recent study of 750 Internet users in Europe found that 35% of Internet users were women.

This means that [tex]n = 750, \pi = 0.35[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.35 - 1.96\sqrt{\frac{0.35*0.65}{750}} = 0.3159[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.35 + 1.96\sqrt{\frac{0.35*0.65}{750}} = 0.3841[/tex]

The 95% confidence interval for the true proportion of internet users who are women in Europe is (0.3159, 0.3841).

Answer:

18.0 cm

Step-by-step explanation:

[tex]hyp^{2} = opp^{2} + adj^{2}[/tex]

[tex]hyp^{2} = 6^{2} + 17^{2}[/tex]

[tex]hyp^{2} = 325[/tex]

[tex]hyp = 5\sqrt{13}[/tex]

[tex]= 18.028 cm[/tex]

Answer:

{201-[68-(40/4)+(-8)+(70x2)]}

{201-[68-(40/4)+(-8)+140]}

{201-[68-10-8+140]}

{201-[68-18+140]}

[201-[50+140]}

{201-190}

11is your answer

Answer:

Solution given:

<ABC+<QRS=180°[supplementary]

<QRS=180°-100°

<QRS=80° is your answer

Answer:

volume = 14 2/3 units³

Step-by-step explanation:

volume = 7 1/3(2) = 14 2/3 units³

Answer:

the answer should be 56 :)

Step-by-step explanation:

Answer:

x=56

Step-by-step explanation:

Try to end up with only a single variable on one side.

Step 1: Add 3x to each side of the equation to keep them both equal. Example: 6-2x+3x=62-3x+3x

or

6+x=62

Step 2: Subtract 6 from both sides. Example:

6+x-6=62-6

or

x=56

Step 3: You found the answer. Hope this helps and is correct.

Answer:

Equivalent representations of percent problems

Step-by-step explanation:

Answer:

(69.708 ; 74.292) ; 78% ; 350 ;

H0 : μ = 72

H0 : μ > 72

Pvalue = 0.8897

there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.

Step-by-step explanation:

99.5% confidence level, = 2.807

Sample size, n = 150

xbar = 72

Standard deviation, s = 10

Xbar ± Margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 2.807 * 10/sqrt(150)

Margin of Error = 2.292

Lower boundary = 72 - 2.292 = 69.708

Upper boundary = 72 + 2.292 = 74.292

(69.708 ; 74.292)

B.)

Confidence level of the interval (71, 73)

(72 - 71 ) or (73 - 72)

Margin of Error = 1

Margin of Error = Zcritical * s/sqrt(n)

1 = Zcritical * 10/sqrt(150)

1 = Zcritical * 0.8164965

Zcritical = 1 / 0.8164965

Zcritical = 1.2247

α = 0.22 = 1 - 0.22 = 0.78 = 78%

C.)

Margin of Error = ±1.5

1.5 = Zcritical * s/sqrt(n)

99.5% confidence level, = 2.807

1.5 = 2.807 * 10/sqrt(n)

1.5 = 28.07 / sqrt(n)

Square both sides

1.5² = 28.08² / n

2.25n = 788.4864

n = 788.4864 / 2.25

n = 350.4384

n = 350 samples

D.)

H0 : μ = 72

H0 : μ > 72

Test statistic :

(xbar - μ) ÷ s/sqrt(n)

(73 - 72) ÷ 10/sqrt(150)

Test statistic = 1.2247

Pvalue :

P(Z < 1.2247) = 0.8897

Pvalue > α

0.8897 > 0.005

We fail to reject the Null ; Hence there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.

Answer:

a. The probability that a randomly selected adult is either overweight or obese is:

= 68.8%.

b. The probability that a randomly selected adult is neither overweight nor obese is:

= 31.2%

c.

D. No because you may be neither overweight nor obese.  The events "overweight" and "obese" are not exhaustive.

Step-by-step explanation:

Overweight adult = BMI ≥ 25 but < 30

Obese adult = BMI ≥ 30

Journal of the American Medical Association:

Overweight adult population in the United States = 33.1%

Obese adult population in the United States = 35.7%

The probability that a randomly selected adult is either overweight or obese = Percentage of overweight adult population + Percentage of obese adult population

= 33.1% + 35.7%

= 68.8%

The probability that a randomly selected adult is neither overweight nor obese = 1 - 68.8%

= 31.2%

The events "overweight" and "obese" can only be exhaustive if their combined probabilities of occurrence equals 1 or 100%.

hbngfthjhuiuttyui

Step-by-step explanation:

yiutujhyyiiyttthhuijc

Given:

The given sequence is:

[tex]5,-2,-9,...[/tex]

To find:

The recursive formula for [tex]a_n[/tex], the nth term of the sequence.

Solution:

We have,

[tex]5,-2,-9,...[/tex]

Here, the first term is 5.

[tex]-2-5=-7[/tex]

[tex]-9-(-2)=-9+2[/tex]

[tex]-9-(-2)=-7[/tex]

The common difference is -7.

The recursive formula for the nth term of the sequence is

[tex]a_n=a_{n-1}+d[/tex]

Where, [tex]d[/tex] is the common difference.

Putting [tex]d=-7[/tex] in the above formula, we get

[tex]a_n=a_{n-1}+(-7)[/tex]

[tex]a_n=a_{n-1}-7[/tex]

Therefore, the recursive formula for the nth term of the sequence is [tex]a_n=a_{n-1}-7[/tex].

9514 1404 393

Answer:

  n = 3

Step-by-step explanation:

Any calculator, or your knowledge of multiplication tables, will tell you ...

  9 = 3×3

  √9 = 3

  n = 3

Answer:

2.5%

Step-by-step explanation:

ahhh has to be 20 characters

I would say 50 percent

Answer:

84

Step-by-step explanation:

126/42 = 3 Find the long side proportion

28 x 3 = 84 multiply by proportion

Answer:

22)

[tex]Area:-[/tex]

-----------

23)

[tex]perimeter:-[/tex]

[tex]Area:-[/tex]

----------

24)

----------

25)

------------

26)

∴To calculate the perimeter , add the length of its sides.

∴To calculate the area, multiply its height by its width.

------------------------

hope it helps...

have a great day!!

Answer:

3,268,584

Step-by-step explanation:

1^12 is 1

b option is the answer

I am sure

Answer:

4x² - 2x + 5

Step-by-step explanation:

5x² - 1x² = 4x²

8x - 6x = 2x

2 + 3 = 5

= 4x² - 2x + 5

Answer:

$119.79

Step-by-step explanation:

Year 1:

10% of 90 is 99

Year 2:

10% of 99 is 9.9

Year 3:

10 percent of 108.9 is 10.89

108.9+10.89= 119.79

Answer:

accorded a great deal of respect, especially because of age, wisdom, or character.

"a venerable statesman"

Similar:

respected

venerated

revered

reverenced

Step-by-step explanation:

Hope it helps u , Good luck ^.^

Answer:

C: x=6 D: x=2

Step-by-step explanation:

Hope this helps

Answer:

it should be 5 because its a rectangle

Answer:

x = 5cm

Step-by-step explanation:

Remember opposite sides of a rectangle are congruent

The opposite side of side "x" is equal to 5 cm therefore x = 5 cm

Important note! : The triangle does not change the side length as it is formed using it.

Answer:

The answer should be 9.

Step-by-step explanation:

Answer:

325

Step-by-step explanation:

.12x + 44 = .08x + 57

.04x = 13

x= 325

Answer:

The length of the hypotenuse is 37cm

Step-by-step explanation:

we know that the area of the triangle can be found by 1/2bh. we can plug in what we know into this formula to find the height.

a=1/2bh

210=1/2(12)h

210=6h

h=35cm

now, since it's a right triangle, we can find the length of its hypotenuse by using the pythagorean theorem, using c to represent the length of the hypotenuse:

12^2+35^2=c^2

c^2=144+1225

c^2=1369

c=37

so, the hypotenuse is 37cm

The length of the hypotenuse is 21.22 cm

The given parameters are:

Area = 210

Base = 12

Start by calculating the height using:

Height = Area/Base

This gives

Height = 210/12

Divide

Height = 17.5

The hypotenuse is then calculated using:

Hypotenuse = √(Base^2 + Height^2)

This gives

Hypotenuse = √(12^2 + 17.5^2)

Evaluate

Hypotenuse = 21.22

Hence, the length of the hypotenuse is 21.22 cm

Read more about right triangles at:

https://brainly.com/question/23814470

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

:))

Answer:

Step-by-step explanation:

B