A military commander has been assigned the task of defending an asset from enemy air attack. Commander has two types of air defense missiles; 5 missiles each of type I and type II are available for deployment. Each type I missile costs 7 units for installation and each type II missile costs 8.5 units for installation. The total budget available is 60 units. Each type I missile requires 6 persons for handling whereas each type II requires 2 persons. There are only 32 trained persons to handle the missiles at the site. If the site is not defended the enemy aircrafts are estimated to destroy 95% of the asset value. If one type I missile is deployed on the site, it is expected to save 13% of the asset value. Similarly, deployment of one type II missile is estimated to save 9% of the asset value. In other words, the enemy aircrafts which were earlier capable of destroying 95% of the asset value are able to destroy 82% of the asset value in the presence of one missile of type I and 86% of the asset value in the presence of one missile of type II. Formulate an LP to determine the mix of missiles that provides maximum protection to the asset against an attack of enemy aircrafts aiming simultaneously.

Answer:

[tex]x=58[/tex]

Step-by-step explanation:

First, remember that the maximum degree of an angle totals 360°.

Since we already have 294°, this means that what is left must total [tex]360\textdegree - 294\textdegree= 66\textdegree[/tex].

Therefore, this means that our two smaller angles must equal 66°. So:

[tex](36)+(x-28)=66[/tex]

Solve for x. Add on the left:

[tex]x+8=66[/tex]

Subtract 8 from both sides. Therefore, the value of x is:

[tex]x=58[/tex]

Answer:

[tex]y+6=\frac{-8}{7} (x-7)[/tex]

Step-by-step explanation:

To find the slope of the equation use [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

So, [tex]\frac{-6-2}{7-0}[/tex] = [tex]\frac{-8}{7}[/tex]. Now we can use our slope and any of the two points to write in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex]. Using the point (7,-6), the formula will give [tex]y+6=\frac{-8}{7} (x-7)[/tex].

To check, you can plug in this equation and the points into a calculator to graph. The line passes through both points.

Answer:

P = 20x - 12

Step-by-step explanation:

The Perimeter of a Rectangle is 2l + 2w, where l is the length and w is the width.

Now, let's substitute the given values.

2(8x - 9) + 2(2x + 3)

= 16x - 18 + 4x + 6

= 20x - 12                     <--- This is the answer

Hope this helps!

Answer:

dy/dx = e⁻²ᵗ (1 − t)

d²y/dx² = -e⁻³ᵗ (3 − 2t)

(1.5, ∞)

Step-by-step explanation:

x = eᵗ

y = te⁻ᵗ

dx/dt = eᵗ

dy/dt = -te⁻ᵗ + e⁻ᵗ

dy/dt = e⁻ᵗ (1 − t)

dy/dx = (dy/dt) / (dx/dt)

dy/dx = e⁻ᵗ (1 − t) / eᵗ

dy/dx = e⁻²ᵗ (1 − t)

d²y/dx² = d(dy/dx)/dt / (dx/dt)

d²y/dx² = (-e⁻²ᵗ − 2(1 − t) e⁻²ᵗ) / eᵗ

d²y/dx² = -e⁻²ᵗ (1 + 2(1 − t)) / eᵗ

d²y/dx² = -e⁻³ᵗ (3 − 2t)

The function is concave up when the second derivative is positive.  -e⁻³ᵗ is always negative, so the second derivative is positive when 3 − 2t is negative.

3 − 2t < 0

3 < 2t

t > 3/2

Or, in interval notation, (1.5, ∞).

Answer:

I think the answer is B

Step-by-step explanation:

he would need to factor 4x² in order to get his answer not just 4x

Answer: Algebraic: 15-22

Simply:-7

Step-by-step explanation:

Less than means to take away from, so in this case we are taking away 22 from 15

Answer:

yes

Step-by-step explanation:

Answer:

the first graph

Step-by-step explanation:

Answer:

The first graph A)

Step-by-step explanation:

Hope this helps whoever needs it!

Answer:

The probability that Archie will receive a grade higher than a B in the course is 0.2164.

Step-by-step explanation:

We are given that Archie learns that 93% of past students who did not attend TA sessions received a grade of B or below in the course. Archie also learns that 11% of past students received a grade higher than B.

Let B = event that the student received a grade higher than B.

and T = event that the student discussion sessions with the TA.

So, P(B) = 0.11 and P(T) = [tex]\frac{4}{18}[/tex] = 0.22

Also, the probability that the students who did not attend TA sessions received a grade of B or below in the course = P(B'/T') = P(not B/not T) = 0.92

Now, we have to find the probability that Archie will receive a grade higher than a B in the course given he attended the discussion sessions with the TA = P(B/T)

As we know that the conditional probability formula is given by;

                           P(B/T) = [tex]\frac{\text{P}(\text{B} \bigcap \text{T})}{\text{P(T)}}[/tex]

Now, as it is given that P(not B/not T) = 0.92

So, [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{\text{P(not T)}} =0.92[/tex]

      [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{1 - \text{P(T)}} =0.92[/tex]

      [tex]\frac{\text{P}(\text{not B} \bigcap \text{not T})}{1 - 0.22}} =0.92[/tex]

[tex]{\text{P}(\text{not B} \bigcap \text{not T})} =0.92\times 0.78[/tex]

[tex]{\text{P}(\text{not B} \bigcap \text{not T})}[/tex] = 0.7176

Also, [tex]{\text{P}(\text{ B} \bigcup \text{ T})}= 1 - {\text{P}(\text{not B} \bigcap \text{not T})}[/tex]

[tex]{\text{P}(\text{ B} \bigcup \text{ T})}[/tex] = 1 - 0.7176 = 0.2824  

Now, the formula for [tex]{\text{P}(\text{ B} \bigcup \text{ T})}[/tex] is given by;

[tex]{\text{P}(\text{ B} \bigcup \text{ T})} = \text{P(B)} + \text{P(T)} - {\text{P}(\text{ B} \bigcap \text{ T})}[/tex]

0.2824 = 0.11 + 0.22 - [tex]\text{P(B} \bigcap \text{T})[/tex]

[tex]\text{P(B} \bigcap \text{T})[/tex] = 0.33 - 0.2824 = 0.0476

Now, the required probability P(B/T) = [tex]\frac{\text{P}(\text{B} \bigcap \text{T})}{\text{P(T)}}[/tex]

                                                         = [tex]\frac{0.0476}{0.22}[/tex] = 0.2164

Hence, the probability that Archie will receive a grade higher than a B in the course is 0.2164.

Answer:

150 adults and 270 children

Step-by-step explanation:

Let there are x adults and y children.

ATQ,

x+y=420

or

y=420-x ....(1)

Adult visitors pay $3 and children visitors pay $1. on one day, the zoo collected a total of $720.

ATQ,

3x+y=720...(2)

Put equation (1) in equation (2).

3x+420-x=720

2x=720-420

2x=300

⇒x=150

Put the value of x in equation (1)

y=420-150

⇒y=270

So, there are 150 adults and 270 children visited.

Answer:

35.56

Step-by-step explanation:

multiply the length value by 2.54

Answer:

35.56 cm.

Step-by-step explanation:

multiply the length value (the number) by 2.54

Answer:

88% of people were infected by the cold virus

Step-by-step explanation:

153/135 multiplied by 100 will give the answer to be 88.235%. round to nearest percent is 88%

Answer:

-269,380

Step-by-step explanation:

Answer:

-269380

Step-by-step explanation:

Answer:

well I actully you do 17,125 times 3 and then you get your answer

Step-by-step explanation:

17,125 times 3

Answer:

210,541

Step-by-step explanation:

17125 x 3 = 51375

51375 + 159166 = 210541

Answer:

2^5

Step-by-step explanation:

2^4 × 2^6 ÷ 2^5

= 2^10 ÷ 2^5

=2^5

Answer:

21

Step-by-step explanation

They jumped 3 meters above the water, jumped down 18, 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18, thats 15 away, the distance is 15, if I am worng (probably am) try 20, if not, Im retarted and dont trust me with this.

9514 1404 393

Answer:

  21 m

Step-by-step explanation:

The difference in height between +3 meters and -18 meters is ...

  3 -(-18) = 3 +18 = 21 . . . . meters

Answer:

yes you cam win money form playing this game but you can also lose money.

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

2x-y+7

Let x = -5 and y = -2

2(-5) -(-2) +7

-10 +2 +7

-10 +9

-1

Answer:

51.7 / 4 = 12.925

Step-by-step explanation:

Answer:

Step-by-step explanation:

Gross pay means the amount of money you get without any tax reductions.

40 * 11 = $440

Find the value of all the taxes.

440 * 0.15 = $66

440 * 0.08 = $35.20

440 * 0.07 = $30.80

Net pay means the amount of money you get with tax reductions.

440 - 66 - 35.20 - 30.80 = $308

Best of Luck!

Answer:

4.1

Step-by-step explanation:

Answer:

834100

Step-by-step explanation:

1. Move the decimal FIVE times to the right

8.341 ----> 834100.

2. Solution

834100

Answer:

im dumb too just a little

Answer: 2 perpendicular line and 180 degrees rotational symmetry

Step-by-step explanation:

I just did it

Answer:  $5.40

Step-by-step explanation:

First we will find the tax amount for Dave by multiplying 8% by 15.

8% * 15 =  1.2  

Now add it to the original price of the baseball which is 15.

15 + 1.2= 16.20  This means Dave paid $16.20 in total.

Now find the tax amount for Mel.

20 * 8% = 1.6  

Add 1.6 to the original price which is $20.

1.6 + 20 = 21.60    

Mel also paid $21.60 in total.

To find the difference  we need to subtract the lowest amount from the highest amount.

21.60 - 16.20 = 5.40

Answer:

6=4 1/6+10 1/6

Step-by-step explanation:

here ya go!!!!

6=-4 1/6+b

4 1/6+6=10 1/6(this is b)

4 1/6+(-4 1/6)(these cross out)

sooo

6=-4 1/6+10 1/6