An oil company has two refineries. Refinery A produces 200 barrels of high-grade oil, 300 barrels of medium-grade oil, and 200 barrels of low-grade oil and costs $12,000 to operate. Each day, Refinery B produces 100 barrels of high-grade oil, 100 barrels of medium-grade oil, and 200 barrels of low-grade oil and costs $10,000 to operate. The company must produce at least 800 barrels of high-grade oil, 900 barrels of medium-grade oil, and 1,000 barrels of low-grade oil. What is the minimum cost to operate both refineries?

Answer:

Solution = 46

Step-by-step explanation:

I believe you meant standard deviation. Standard deviation is defined as the variation of the data set, or the differences between the values in this set. In order for the standard deviation to be 0, all values should be the same.

Now if the mean is 46, the smallest possible number of each value in the data set should be 46 as well.  This is considering the mean is the average of the values, and hence any number of values in the data set being 46 will always have a mean of 46. Let me give you a demonstration -

[tex]Ex. [ 46, 46, 46 ], and, [46, 46, 46, 46, 46]\\Average = 46 + 46 + 46 / 3 = 46,\\Average = 46 + 46 + 46 + 46 + 46 / 5 = 46[/tex]

As you can see, the average is 46 in each case. This proves that a data set consisting of n number of values in it, each value being 46, or any constant value for that matter, always has a mean similar to the value inside the set, in this case 46. And, that the value of the smallest standard deviation is 46.

Answer:

500

Step-by-step explanation:

I assume each number is from 0 to 9. Also there are 5 letters.

10 * 5 * 10 = 500

Step-by-step explanation:

Maybe the page numbers can be 143 and 246

143 + 246 = 389

Answer:

194 and 195

Step-by-step explanation:

x = 1st page

x + 1 = 2nd page

x + x + 1 = 389

2x + 1 = 389

2x = 388

x = 194

x + 1 = 195

Answer:

TRUE

Step-by-step explanation:

In a triangle having sides a, b and c units,

For a right triangle following condition should be fulfilled,

(Largest side)² = (Leg 1)² + (Leg 2)² [Pythagoras theorem]

If the sides of a triangle are 4, 12 and [tex]\sqrt{160}[/tex]

[tex](\sqrt{160})^{2}[/tex] = 4² + 12²

160 = 16 + 144

160 = 160

True.

Therefore, the given statement is TRUE.

Answer:

f(n + 1) = f(n) + 0.75

Step-by-step explanation:

Answer:

Number of unique treatment combinations  = 8

Step-by-step explanation:

Given:

Number of brands = 3

Number of power settings = 2

Number of microwave times = 3

Find:

Number of unique treatment combinations.

Computation:

Number of unique treatment combinations = Number of brands + Number of power settings + Number of microwave times

Number of unique treatment combinations = 3 + 2 + 3

Number of unique treatment combinations = 8

Answer: The answer is D

Step-by-step explanation:

Edge 2021

The true statement is (d) WXYZ is not necessarily a parallelogram because it is unknown if WC = CY.

Quadrilaterals are shapes with four sides

Parallelograms are quadrilaterals that have equal and parallel opposite sides

The quadrilateral is given as:

WXYZ

Also, we have:

WC = CY

The given parameters are not enough to determine if the quadrilateral is a parallelogram or not

Hence, the true statement is (d) WXYZ is not necessarily a parallelogram because it is unknown if WC = CY.

Read more about quadrilaterals and parallelograms at:

https://brainly.com/question/1190071

Answer:

9.936

Step-by-step explanation:

In(x+5)*x=5

ln(x^2+5x)=5

e^5=x^2+5x

148.4131=x^2+5x

x^2+5x-148.4131=0

x is 9.936 because logs can't be negative

Step-by-step explanation:

Well it's easy, you can write sin a=y/r

in which y is the y coordinate and r the hipotenuse.

so if sin a is negative that must mean that "a" is where y is negative and that happens in the third and fourth quadrant

Answer:

[tex]y(1) = 0.5518[/tex]

Step-by-step explanation:

Given the differential equation [tex]e^{t} \frac{dy}{dt} +e^{t}y = t[/tex]

From the equation;

[tex]e^{t} (\frac{dy}{dt} +y) = t\\\frac{dy}{dt} +y = \frac{t}{e^{t}} \\[/tex]

The resulting equation is a first order differential equation in the form

dy/dt + p(t)y = q(t)

The solution to the DE will be in the form yI = [tex]\int\limits q(t)*I\, dt[/tex] where I is the integrating factor expressed as [tex]I = e^{\int\limits p(t) \, dt }[/tex]

From the DE above p(t ) = 1 and q(t) = [tex]\frac{t}{e^{t} }[/tex]

[tex]I = e^{\int\limits1 \, dt }\\I = e^{t }\\[/tex]

The solution to the DE will become

[tex]y e^{t } = \int\limits e^{t } *\frac{t}{e^{t } } \, dt\\y e^{t } = \int\limits{t} \, dt \\y e^{t } = \frac{t^{2} }{2} + C[/tex]

If y(0) = 1 then;

[tex]1 e^{0 } = \frac{0^{2} }{2} + C\\1 = C[/tex]

[tex]y e^{t } = \frac{t^{2} }{2} + 1\\y(t) = \frac{1}{e^{t } } (\frac{t^{2} }{2} + 1)[/tex]

The value of y(1) will be expressed as;

[tex]y(1) = \frac{1}{e^{1} } (\frac{1^{2} }{2} + 1)\\y(1) = \frac{1}{2e}+\frac{1}{e}\\ y(1) = \frac{3}{2e}[/tex]

[tex]y(1) = \frac{3}{5.4366} \\y(1) = 0.5518[/tex]

Answer:

b

Step-by-step explanation:15 x 5 = 75 and 20 x 4 = 80 making 155 and 15 x 3  = 45 and 20 x 2 = 40 making 85

Answer:

+-2

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

When you solve the equation you should get two parallel lines with x-intercepts at (-2,0) & (2,0)

Answer:  5942

Step-by-step explanation:

Clue 4 states exactly two of the digits = 1, 4, or 9

Clue 1 leaves us with the following combinations:

1, 9, 2, 8

1, 9, 3, 7    eliminate by clue 5

4, 9, 2, 5

1, 4, 7, 8

Clue 5 directs us to the following order for 1,9,2,8

2 __ __ 1     --> 2981 or 2891   eliminate by clue 2

9 __ __ 8    --> 9128 or 9218   eliminate by clue 6

9 __ __ 2    --> 9182 or 9812   eliminate by clue 6

Clue 5 directs us to the following order for 4,9,2,5

5 __ __ 2     --> 5492 or 5942   eliminate 5492 by clue 2

9 __ __ 2    --> 9452 or 9542   eliminate by clue 3

Clue 5 directs us to the following order for 1,4,7,8

4 __ __ 1    --> 4781 or 4871    eliminate by clue 2

The only combination not eliminated is 5-9-4-2, which satisfies all six clues.

1) 5 + 9 + 4 + 2 = 20

2) 5 > 4

3) 9 - 2 > 5

4) 4 & 9 but not 1 are included

5) 5 + 2 = 7, which is a prime number

6) 2 <  5, 9, 4

Answer:

Option A

Step-by-step explanation:

The first thing we want to do here is identify whether or not the diagonals are perpendicular, which helps much to know to prove what angle AOB.

_____

Let us say that this is a rhombus. That would make the diagonals perpendicular, and hence ∠AOB should be 90 degrees, but let's not jump to conclusions. We need to calculate the length of BO. By Pythagorean Theorem it should be the following length -

[tex]( BC )^2 = ( BO )^2 + ( OC )^2,\\( 10 )^2 = ( BO )^2 + ( 7.8 )^2,\\100 = BO^2 + 60.84,\\BO^2 = 39.16,\\\\BO = ( About ) 6.26\\[/tex]

_____

Knowing BO, to prove that this is a rhombus we can find the length of BO another way, and match it to the length 6.26 -

Δ ABD = Equilateral,

BD = 10 cm,

" Coincidence Theorem " - BO = 5 = OD.

Here BO = 5. 5 is close to 6.26 but not exactly, so the measure of angle AOB is not 90, but better yet 80.

Answer:

76

Step-by-step explanation:

Flute players- 5

Trumpet player- 3 times flute players -15

Trombone players- 8 fewer than trumpet-7

Drummers- 11 more than trombone-18

Clarinet- 2 times flute- 10

Tuba-4 fewer than trombone-3

French horn- 3 more than trombone- 10

Band director- 1

Assistant-1

Volunteers- 6

5+15+7+18+10+3+10+1+1+6=76

Answer:

y = 9

Step-by-step explanation:

Since we are trying to find a horizontal line, our line would have to be y = [a number]. That takes our x = -5 and x = 9 out as answer choices. We are left with y = -5 and y = 9. y = 9 is correct because the horizontal line is the y-values, and since in (-5, 9), our y-value is 9, our line is y = 9.

Answer:

Step-by-step explanation:

Given p(A)=0.30,p(B)=0.40and p(A∩B) =0.20,then p(A/B) is expressed as shown:

p(A|B) = p(A∩B)/p(A)

p(A|B) means B is independent and A depends on B.

In your problem P(A)=0.65, P(A∩B) =0.1

Substituting the given values,

p(A|B) = 0.2/0.30

p(A|B) = 2/10 * 10/3

p(A|B) = 2/3

Answer:

Step-by-step explanation:

To do: Find the value of X

Concept : Angle bisector formula

Now,

[tex] \frac{a}{b} = \frac{c}{d} [/tex]

[tex] \frac{6}{9} = \frac{x}{8} [/tex]

[tex]x \times 9 = 6 \times 8[/tex]

( cross multiplication)

[tex]9x = 48[/tex]

Divide both sides by 9

[tex] \frac{9x}{9} = \frac{48}{9} [/tex]

Calculate

[tex]x = 5.3[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

  23.29 lbs

Step-by-step explanation:

The force on Jenny due to gravity can be resolved into components perpendicular to the hillside and down the slope. The down-slope force is ...

  (90 lbs)sin(15°) ≈ 23.29 lbs

In order to keep Jenny in position, that force must be balanced by an up-slope force of the same magnitude.

Answer:

b at most 199

Step-by-step explanation:so the total was 121 and there is a flat fee of 21.50 so you subtract that out and gat 99.5 since its .5 per mile its going to be divided giving 199 and that is the most she could have driven.

Answer:

Force = mass×acceleration

F=ma

m=0.29kg

a=9.8m/s²

F=0.29kg×9.8m/s²

F= 2.84N=2.8N

Answer:Answer:

Force = mass×acceleration

F=ma

m=0.29kg

a=9.8m/s²

F=0.29kg×9.8m/s²

F= 2.84N=2.8N

Step-by-step explanation:

Answer:

(a) Increasing:[tex]\frac{\pi}{2}< x< \frac{3\pi}{2}[/tex] and Decreasing:[tex]0< x< \frac{\pi}{2}\ \text{or}\ \frac{3\pi}{2}< x< 2\pi[/tex]

(b) The local minimum and maximum values are -16 and 16 respectively.

(c) The inflection points are [tex](\frac{\pi}{6},\ -2)\ \text{and}\ (\frac{5\pi}{6},\ -2)[/tex]

Step-by-step explanation:

The function provided is:

[tex]f(x)=8cos^{2}(x)-16sin( x);\ 0\leq x\leq 2\pi[/tex]

(a)

[tex]f(x)=8cos^{2}(x)-16sin( x);\ 0\leq x\leq 2\pi[/tex]

Then, [tex]f'(x)=-16cos(x)sin(x)-16cos(x)=-16cos(x)[1+sin(x)][/tex]

Note, [tex]1+sin(x)\geq 0\ \text{and }\ sin(x)\geq 1\\[/tex]

Then, [tex]sin(x)=-1\Rightarrow x=\frac{3\pi}{2}[/tex] for [tex]0\leq x\leq 2\pi[/tex].

Also [tex]cos(x)=0[/tex].

Thus, f (x) is increasing for,

[tex]f'(x)>0\\\Rightarrow cos(x)<0\\\Rightarrow \frac{\pi}{2}< x< \frac{3\pi}{2}[/tex]

And f (x) is decreasing for,

[tex]f'(x)<0\\\Rightarrow cos(x)>0\\\Rightarrow 0< x< \frac{\pi}{2}\ \text{or}\ \frac{3\pi}{2}< x< 2\pi[/tex]

(b)

From part (a) f (x) changes from decreasing to increasing at [tex]x=\frac{\pi}{2}[/tex] and from increasing  to decreasing at [tex]x=\frac{3\pi}{2}[/tex].

The local minimum value is:

[tex]f(\frac{\pi}{2})=8cos^{2}(\frac{\pi}{2})-16sin(\frac{\pi}{2})=-16[/tex]

The local maximum value is:

[tex]f(\frac{3\pi}{2})=8cos^{2}(\frac{3\pi}{2})-16sin(\frac{3\pi}{2})=16[/tex]

(c)

Compute the value of f'' (x) as follows:

[tex]f''(x)=16sin(x)[1+sin(x)]-16cos^{2}(x)\\\\=16sin(x)+16sin^{2}(x)-16[1-sin^{2}(x)]\\\\=32sin^{2}(x)+16sin(x)-16\\\\=16[2sin(x)-1][sin (x)+1][/tex]

So,

[tex]f''(x)>0\\\Rightarrow sin(x)>\frac{1}{2}\\\Rightarrow \frac{\pi}{6}<x<\frac{5\pi}{6}[/tex]

And,

[tex]f''(x)<0\\\\\Rightarrow sin(x)<\frac{1}{2}\ \text{and}\ sin (x)\neq -1\\\\\Rightarrow 0<x<\frac{\pi}{6}\ \text{or} \frac{5\pi}{6}<x<\frac{3\pi}{2}\ \text{or}\ \frac{3\pi}{2}<x<2\pi[/tex]

Thus, f (x) is concave upward on [tex](\frac{\pi}{6},\ \frac{5\pi}{6})[/tex] and concave downward on [tex](0,\ \frac{\pi}{6}), (\frac{5\pi}{6},\ \frac{3\pi}{2})\ \text{and}\ (\frac{3\pi}{2},\ 2\pi)[/tex].

If [tex]x=\frac{\pi}{6}[/tex], then f (x) will be:

[tex]f(\frac{\pi}{6})=8cos^{2}(\frac{\pi}{6})-16sin(\frac{\pi}{6})=-2[/tex]

If [tex]x=\frac{5\pi}{6}[/tex], then f (x) will be:

[tex]f(\frac{5\pi}{6})=8cos^{2}(\frac{5\pi}{6})-16sin(\frac{5\pi}{6})=-2[/tex]

The inflection points are [tex](\frac{\pi}{6},\ -2)\ \text{and}\ (\frac{5\pi}{6},\ -2)[/tex].

Answer:

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.64})^2}=747.11[/tex]  

And rounded up we have that n=748

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by [tex]\alpha=1-0.90=0.1[/tex] and [tex]\alpha/2 =0.05[/tex]. And the critical value would be given by:

[tex]z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64[/tex]

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

And on this case we have that [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

The best estimatr for the proportionis 0.5 since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.64})^2}=747.11[/tex]  

And rounded up we have that n=748

Answer:

A triangle

Step-by-step explanation:

The plane which cuts a corner intersects the polyhedron in n faces that depend on the specific polyhedron as seen in the attachment

And here's a cube, and three faces intersect. Because the intersection of two planes is a line, and that there are three planes with which to intersect, the polygon has three sides.

Therefore in the given situation, the polygon is a triangle

Answer:

7/6

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

Using the given points

m = (-2 - -9)/(2 -8)

   = (-2+9) / (-6)

    = 7/6

Answer:

Since it is directly related, then the current is one third of the voltage.

57 / 3 = 19 amperes

Step-by-step explanation:

Answer:

[tex] t=\frac{\bar X -\mu}{\frac{s}{\sqrt{n}}}[/tex]

And for this case the degrees of freedom are given by:

[tex] df= n-1 = 10-1=9[/tex]

And the best option would be:

b. 9

Step-by-step explanation:

For this case our parameter of interest is the true mean [tex]\mu[/tex] and we have a sampel size of n =10.

We are going to use a t test and then the t statistic given by:

[tex] t=\frac{\bar X -\mu}{\frac{s}{\sqrt{n}}}[/tex]

And for this case the degrees of freedom are given by:

[tex] df= n-1 = 10-1=9[/tex]

And the best option would be:

b. 9

Answer:

$351,100

Step-by-step explanation:

The total incremental cost of making 54,000 units = Variable Cost Per Unit (54,000 unit) + Fixed Manufacturing Costs

Fixed Manufacturing Costs = $73,000

Variable costs are $5.15 per unit

Variable Cost Per Unit =  $5.15 * 54,000 unit = $278,100

Hence, the total incremental cost of making 54,000 units  = $278,100 + $73,000 = $351,100

Answer: I think that this is the answer

standard form of equation for ellipse with vertical major axis (a^2 under y^2):

(x-h)^2/b^2+(y-k)^2/a^2=1,a>b, (h,k) being the (x,y) coordinates of the center.

For given equation: x^2/9+y^2/36=1

center: (0,0)

a^2=36

a=√36=6

length of vertical major axis=2a=12

Vertices are end points of major axis=(0,0�a)=(0,0�6)=(0,-6) and (0,6)

Vertices are at (0,-6) and (0,6)

Step-by-step explanation:

Answer:

Explanation: General formula for vertical ellipse Given: x24+y29=1 ... Use the equation provided above, and "plug it" in.

Answer:

17.9

Step-by-step explanation:

The tenth place is the digit 8. After the tenth place is 7, which is higher or equal to 5. Therefore, we must add +1 to the tenth place followed by zeros.