Soto Pharmaceuticals COVID-23 vaccine vials contain about 2 ml of vaccine solution. This expensive solution must be poured by machine in such a way that the more than 2% solution is lost due to over-ruing. It has been determined that pouring more than 2.100 ml will cause an uncle loss of proft. What should the manufacturer set the moon pouring setting to ensure profits are kept at the acceptable level of Pharmaceuticals has determined that the machines a standard deviation of 0.050 ml
a. 1997 ml
b. 1.769 ml
c. 2.092 ml 1.800 ml

A substitution which is the most general unifier [MGU] for the following pair of expressions, P(A, B, B) and P(A, B) is:

{A / A, B / B}

Here, A, B, C are constants;

f, g are functions;

w, x, y, z are variables;

p is a predicate.

p(x, y, z) is a predicate that takes three arguments.

Thus, p(x, y, z) cannot unify with P(A, B, B) which takes three arguments and P(A, B) which takes two arguments.

For the pair of expressions P(A, B, B) and P(A, B), the most general unifier [MGU] is {A / A, B / B}.

The substitution {A / A, B / B} will make P(A, B, B) equal to P(A, B).

Therefore, P(A, B, B) can be unified with P(A, B) with the most general unifier [MGU] {A / A, B / B}.:

In predicate logic, a Unification algorithm is used for finding a substitution that makes two predicates equal.

Two expressions can be unified if they are equal when some substitutions are made to their variables.

Here, A, B, C are constants;

f, g are functions;

w, x, y, z are variables;

p is a predicate.

p(x, y, z) is a predicate that takes three arguments.

Thus, p(x, y, z) cannot unify with P(A, B, B) which takes three arguments and P(A, B) which takes two arguments. However, the pair of expressions P(A, B, B) and P(A, B) can be unified.

The substitution {A / A, B / B} can make P(A, B, B) equal to P(A, B).

Thus, the most general unifier [MGU] for the given pair of expressions is {A / A, B / B}.

The substitution {A / A, B / B} will replace A with A and B with B in P(A, B, B) to make it equal to P(A, B).

For the pair of expressions P(A, B, B) and P(A, B), the most general unifier [MGU] is {A / A, B / B}.

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The distance between (2 + i) and (4 +3i) would be,

⇒ d = 2√2

We have to given that;

To find distance between (2 + i) and (4 +3i).

Now, We can formulate;

Two points are (2, 1) and (4, 3).

We know that;

The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, The distance between (2 + i) and (4 +3i) would be,

⇒ d = √(4 - 2)² + (3 - 1)²

⇒ d = √4 + 4

⇒ d = √8

⇒ d = 2√2

Thus, The distance between (2 + i) and (4 +3i) would be,

⇒ d = 2√2

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The probability that the second apple picked is red is 4/9.

The bag contains a total of 19 apples: 9 red and 10 yellow.

On the first draw, there are 19 apples to choose from, so the probability of picking a yellow apple is 10/19.

After removing one yellow apple from the bag, there are 18 remaining apples, of which 8 are red and 10 are yellow.

On the second draw, there are now 18 apples to choose from, so the probability of picking a red apple is 8/18.

Therefore, the probability of picking a red apple on the second draw, given that a yellow apple was picked on the first draw, is 8/18.

Simplifying, we get:

Probability = 4/9

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Answer:

25%

Step-by-step explanation:

Answer:

pruduct means multiply so 32.7x0.9=29.43

\(\cfrac{\stackrel{ Sun }{2\times 10^{30}}}{\underset{ Earth }{6\times 10^{24}}}\implies \cfrac{2}{6}\times\cfrac{10^{30}}{10^{24}}\implies \cfrac{1}{3}\times 10^{30}10^{-24}\implies \cfrac{1}{3}\times 10^{30-24} \\\\\\ \cfrac{1}{3}\times 10^6\implies \cfrac{10^6}{3}\implies \cfrac{1000000}{3}\implies 333333.\overline{33}\qquad \begin{array}{llll} \textit{times more massive}\\ \textit{than the Earth} \end{array}\)

D. The energy used is the same for both segments, the power while running is greater.

Walking and running both require energy, but the distance covered and the time taken are different. In this case, the person covers the same distance of 1 km in both segments.

Therefore, the energy used is the same for both. However, since running involves covering the same distance in less time, the power while running is greater. Power is the rate at which energy is used, and since running takes less time, the power output is higher.

D. The energy used is the same for both segments, the power while running is greater.

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The results of the survey, where only 0.3% of the 666 randomly selected adults indicated that they would erase all of their personal information online if they could, suggest that the proportion is significantly low and there is sufficient evidence to support the claim that most adults would not erase all of their personal information online if given the opportunity.

The survey findings indicate that only a small percentage (0.3%) of the randomly selected adults would choose to erase all of their personal information online if they had the chance.

This result suggests that the majority of adults are not inclined to take such a step.

To assess the significance of this finding, it is necessary to compare it to a benchmark or expected value.

Since no specific benchmark is provided in the question, we will assume that a significant proportion would need to be considerably higher than 0.3% to support the claim that most adults would not erase their personal information online.

Given the small percentage found in the survey, it is reasonable to conclude that the proportion of adults who would erase all of their personal information online is significantly low.

This indicates that most adults, based on the survey results, are not likely to take such a drastic measure.

The evidence from the survey supports the original claim that most adults would not erase all of their personal information online if they had the option to do so.

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Answer:

50

Step-by-step explanation:

The expression represents the number of coins Arthur is x + 80 cents.

The term expression in math refers a sentence with a minimum of two numbers or variables and at least one math operation.

Here we have given that Arthur has x pennies. His father gave him 6 dimes, and his mother gave him 4 nickels.

And we need to find expression represents the number of coins Arthur has now.

From the given question, here we have to convert the pennies, dimes and nickels into same unit before adding to get the expression for the number of coins Arthur will have in total.

AS we know that one penny = 1 cent, one dime = 10 cents, one nickel = 5 cents and

Therefore, x pennies = x cents

Then 6 dimes = 60cents

Then 4 nickels = 20 cents

Therefore, the Arthur's coins in total is written as,

=> (x + 60 + 40) cents

=> (x + 80) cents.

Therefore, the resulting expression is written as (x + 80) cents.

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The cost per customer becomes $( 10+ x) and the average number of customers can be represented as (16 - 2x). Also the inequality equation is 160 - 4x -2\(x^{2}\)  \(\geq\) 130 to maintain minimum revenue of $130 after rising price by x number of times by $1 as 2 customers leave on average per hour.

Let x represents the number of $1 increases in the cost of the buffet.

Noah manages a buffet at a local restaurant and charges  $10 for the buffet.

On average, 16 customers choose the buffet as their meal every hour.

That is, the average revenue from 16 customers is = $(10*16)= $160

After surveying Noah has determined that for every $1 increase in the cost of the buffet, the average number of customers who select the buffet will decrease by 2 per hour.

That is, as cost of buffet for every hour rises by $x from $10 we get, $ (10+x) , and the average number of customers who select the buffet will decrease by 2 per hour.

The new average number of customers per hour after rise in cost of buffet by $x is (16 -2x).

This implies, the revenue earned now is = $(16- 2x)(10 + x) = $(160 + 16x - 20x -2\(x^{2}\) ) = $ (160 - 4x -2\(x^{2}\) )

The restaurant owner wants the buffet to maintain a minimum revenue of $130 per hour.

Thus, after the increase in price by $x per hour , the inequality equation that helps Noah to pick best pricing decisions will be ,

160 - 4x -2\(x^{2}\)  \(\geq\) 130

Here, cost per customer becomes $( 10+ x) and the average number of customers can be represented as (16 - 2x).

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Answer: 2.45

Step-by-step explanation:

I use pythagorean theorem after i found the total of leg A and leg B

two pipes= $1.20

Selling price of the first pipe = $1.20

Profit = 20%

Let’s try to find the cost price of the first pipe

CP = Selling price - Profit

CP = 1.20 - 20% of CP

CP = 1.20 - 0.20CP

CP + 0.20CP = 1.20

1.20CP = 1.20

CP = 1.20/1.20

CP = $ 1

Selling price of the Second pipe = $1.20

Loss = 20%

Let’s try to find the cost price of the second pipe

CP = Selling price + Loss

CP = 1.20 + 20% of CP

CP = 1.20 + 0.20CP

CP - 0.20CP = 1.20

0.80CP = 1.20

CP = 1.20/0.80

CP = $1.50

Therefore, total cost price of the two pipes

= $1.00 + $1.50

= $2.50

And total selling price of the two pipes

= $1.20 + $1.20

= $2.40

Loss = $2.50 – $2.40 = $0.10

Therefore, Mr. Jones loss 10 cents.

answer= option d.

1. We assume, that the number 50 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 50 is 100%, so we can write it down as 50=100%.

4. We know, that x is 98% of the output value, so we can write it down as x=98%.

5. Now we have two simple equations:

1) 50=100%

2) x=98%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

50/x=100%/98%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 98% of 50

50/x=100/98

(50/x)*x=(100/98)*x       - we multiply both sides of the equation by x

50=1.02040816327*x      - we divide both sides of the equation by (1.02040816327) to get x

50/1.02040816327=x

49=x

x=49

now we have:

Answer:

49

Step-by-step explanation:

It's really quite simple lad. 50 times 98 is equal to 4900. then you just divide 4900 by 100 and you get your answer, 49. 98% is also 98/100, keep that in mind. Better luck next time haha you

Answer:mode

Step-by-step explanation:5+4+9+9+3+75+1=mode

Answer:

Step-by-step explanation:

P=2l+2w

28=2l+2w

2l=2w-28

l = (2w-28)/2

l =2(w-14)/2

l = w-14

The total number of fishes present in the lake on my 1 is 840.

The given data for the question-

September is equivalent to a percentage of tagged fish in May.

3/42 = 60/x

x = 60 *42 / 3

x = 840

Thus, the total number of fishes present in the lake on my 1 is 840.

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Answer:

The larger share is $450.

Step-by-step explanation:

\(\frac{3}{5} =\frac{3x}{5x} \\\\3x-the smaller share\\5x-the larger share\\3x+5x=8x\\8x-money to split\\8x=720 /:8\\x=90\\5x=5*90=450\)

In data analytics, a population refers to all possible data values in a certain dataset.

Data analytics is a set of procedures and processes for examining datasets in order to draw conclusions from the information they contain, often aided by specialized systems and software. Organizations use data analytics to aid decision-making, increase efficiency, and evaluate outcomes.

The population and sample are two concepts in statistics. The population and sample are two concepts in statistics. The population is the entire set of objects or individuals being studied, while the sample is a subset of the population that is chosen for analysis. The sample is a subset of the population, chosen at random or according to some other criteria in order to represent the population as a whole.

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Answer: Let's use the given information to set up two equations, one for the length and one for the area, in terms of the width.

Let x be the width of the rectangle, in meters. Then, according to the problem, the length of the rectangle is 1 meter longer than 3 times the width, or 3x + 1.

The area of a rectangle is given by the formula A = length × width, so we can write:

A = (3x + 1) x

We know that the area is 80 m², so we can substitute this value and solve for x:

80 = (3x + 1) x

Expanding the right side gives:

80 = 3x² + x

Rearranging and setting equal to zero:

3x² + x - 80 = 0

This is a quadratic equation that we can solve using the quadratic formula:

x = (-b ± sqrt(b² - 4ac)) / 2a

where a = 3, b = 1, and c = -80. Plugging in these values, we get:

x = (-1 ± sqrt(1² - 4(3)(-80))) / 2(3)

x = (-1 ± sqrt(1 + 960)) / 6

x = (-1 ± sqrt(961)) / 6

We can simplify the square root to:

x = (-1 ± 31) / 6

Taking the positive value, we get:

x = 5

So the width of the rectangle is 5 meters. Using the expression we found for the length in terms of the width, the length is:

3x + 1 = 3(5) + 1 = 16

So the dimensions of the rectangle are 5 meters by 16 meters.

Step-by-step explanation:

Answer:

  x = 60 cm

Step-by-step explanation:

If we assume the figures are similar, then corresponding sides are proportional.

  x/36 = 35/21

  x = 36(35/21) = 60 . . . . cm

_____

You can consider the ratios of side lengths. Shortest to longest, they are ...

  7 : 9 : 12 = 21 : 27 : 36 = 35 : 45 : 60

The smaller figure is 3 times the basic ratio; the larger figure is 5 times the basic ratio.

The surface area of the pyramid is given by the equation A = 170.4 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be represented as A

Now , the equation will be

The slant height of the pyramid h = 6 inches

The side of the equilateral triangle = 12 inches

So , the perimeter of the triangle = 3 x side length

Substituting the values in the equation , we get

The perimeter of the triangle = 36 inches

The area of the base = 62.4 inches²

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Substituting the values in the equation , we get

Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )

On simplifying the equation , we get

Surface Area of Pyramid = 62.4 + ( 108 )

Surface Area of Pyramid = 170.4 inches²

Hence , the surface area of pyramid is 170.4 inches²

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(-∞, ∞) is the domain of y=-0.25x² and (−∞,0] is range.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given function is y=-0.25x²

y equal to minus zero point two five times of x square.

We need to find the domain and range of the function.

Let us find few points of x and y.

x    0    1            2           3              4

y    0    -0.25    -1        -0.5625     -4

In the given attachment the graph is given.

The domain is:

{x∣x is R} or (-∞, ∞)

The range is {x∣x≤0} or (−∞,0]

Hence, the domain of y=-0.25x² is (-∞, ∞) and range is (−∞,0].

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The amount tied up in AR is $69434.12

The Gross Revenue, GR = $495,958.02

From the question:

The Annual Revenue, AR = 14% of GR

AR = (14/100) x $495,958.02

AR = 0.14 x $495,958.02

AR = $69434.12

The amount tied up in AR is $69434.12

Answer:

Step-by-step explanation:

25, i think

Answer:

Yes, with 12 feet leftover.

Step-by-step explanation:

For this problem, you will need to find the area of the floor and the area of both sides of the tent. To find the area of the floor, you will simply need to do 6(8) = 48. To find the area of the sides, you will need to use the Pythagorean theorem to find the height of the sides. Simply divide 6 by 2 to find b². So, the formula will be 3²+4² = c². Solve to get c = 5. Now, find the area of the rectangle by using the formula for area. 8(5) = 40. Multiply 40 by 2 because there are two sides. Now add the total area of both sides and the floor to get a total of 128. Now to see if the canvas can cover the area of the tent, do 140 - 128 to get 12. So the answer is yes, with 12 feet leftover.

Work:

Area of the floor:

6(8) = 48

Area of the sides:

A = 8(h)(2)

A = 16(h)

h² = 3² + 4²

h² = 9 + 16

\(\sqrt{h^{2} }\) = \(\sqrt{25}\)

h = 5

A = 8(5)(2)

A = 80

Total area of the tent:

80 + 48 = 128

Total area of the canvas:

14(10) = 140

Answer to the question:

140 - 128 = 12

By the way, sorry for the late answer. I bet this was on a test, right?

Answer:

y=4x+1

Step-by-step explanation:

First find the gradient of the straight line

Then substitute the gradient in the formula y=mx+c.

Substitute one of the given coordinates in the line to find the value of c.

After finding the value of c substitute it in the formula but do not write the values of x and y in the formula