Review Assessment 0.25 of 1 Point Part 2 of 4 Use the accompanying data table to (a) draw a normal probability plot, (b) determine the linear correlation between the observed values and be expected rooms, el determine the critical value in the table of critical values of the correlation coefficient to assess the normality of the data

We have proved the given argument using the method of Conditional Proof (CP) as part of the whole process.

In the given proof, we have to show that ~P -> ~R is true. We can prove it by using the method of Conditional Proof (CP) as a part of the whole process. Let us begin with the first proof.
Do the 1st proof by using CP with ~P as AP
Assumption: ~P
C: ~R
1: R -> (L & S)        Given
2: (L V M) -> P        Given
3: ~P                  Assumption
4: ~(L V M)            From 3 and 2 by Modus Tollens
5: ~L & ~M             From 4 by De Morgan's Law
6: ~L                  From 5 by Simplification
7: ~S                  From 1 and 6 by Modus Ponens
8: ~(L & S)            From 6 and 7 by Conjunction
9: ~R                  From 1 and 7 by Modus Ponens
10: ~P -> ~R           From 3 to 9 by CP
[44-2.2] Do the 2nd proof by using CP with R as AP
Assumption: R
C: ~P -> ~R
1: R -> (L & S)        Given
2: (L V M) -> P        Given
3: ~P                  To be proved
4: L V M               To be proved
5: L                   Assumption
6: L V M               From 5 by Addition
7: P                   From 6 and 2 by Modus Ponens
8: ~S                  From 1 and 5 by Modus Ponens
9: ~(L & S)            From 8 by De Morgan's Law
10: ~L V ~S            From 9 by De Morgan's Law
11: ~L                 Assumption
12: ~(L & S)           From 11 and 8 by Conjunction
13: ~L V ~S            From 12 by De Morgan's Law
14: ~S                 From 10 and 13 by Disjunctive Syllogism
15: (L & S) & P        From 7 and 5 by Conjunction
16: (L & S)            From 15 by Simplification
17: Contradiction      From 16 and 9
18: ~R                  From 17 by Negation Introduction
19: ~P -> ~R           From 3 to 18 by CP

The given argument needs to be proved using CP, where we have to show that ~P -> ~R is true. The first proof is done with ~P as an assumption, while the second proof is done with R as an assumption. The method of Conditional Proof is a method of proving a statement where we assume the negation of the consequent. The negation of the consequent is added as an assumption, and the premises are used to derive the negation of the antecedent. Once the negation of the antecedent is derived, we can discharge the assumption of the negation of the consequent, thereby proving the statement. In the given argument, we have used the method of CP to prove that ~P -> ~R. In both the proofs, we have used the premises and the assumptions to derive the conclusion. In the first proof, we assumed ~P and used the premises to derive ~R. In the second proof, we assumed R and used the premises to derive ~P -> ~R. Hence, we have proved the given argument using the method of CP.

Therefore, we have proved the given argument using the method of Conditional Proof (CP) as part of the whole process. We used two proofs in the argument, one with ~P as an assumption and the other with R as an assumption. We have shown that ~P -> ~R is true using the given premises and the method of CP.

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The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Given 4 apples and 4 oranges cost = $10.

6 apples and 6 oranges = $12.

Let us assume cost of each apple = $x.

Cost of each orange = $y.

4 apples and 4 oranges cost can be given by equation:

4x+4y = 10.

Dividing both sides by 4, we get

x+y = 2.50   ---------------equation (1)

6 apples and 6 oranges cost can be given by equation:

6x+6y = 12.

Dividing both sides by 6, we get

x+y =2    ---------------equation (2).

We can see from equation (1) and equation (2), that x+y equals 2 and 2.5.

But that doesn't seem to be true.

So, we could just say that we can't find a unique price for an apple and an orange for the given information.

The hydrogen ion concentration [H+] for tomatoes with a pH of 4.86 is 1.67 x 10^-5 moles/liter.

The pH of a solution is defined as the negative logarithm (base 10) of the hydrogen ion concentration [H+]. Mathematically, pH = -log[H+].

Rearranging the equation, we get [H+] = 10^(-pH).

Substituting the given pH of 4.86 into the equation, we get [H+] = 10^(-4.86).

Evaluating the expression, we get [H+] = 1.67 x 10^-5 moles/liter. Therefore, the hydrogen ion concentration for tomatoes with a pH of 4.86 is 1.67 x 10^-5 moles/liter.

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Answer:

y-4x=-2

Step-by-step explanation:

standard form is just putting both variables on the same side.

hope this helps :)

The value of z if x = 36 and y = 6 is 42

Suppose that y varies directly with x and inversely with z, hence the required expression will be:

y = kx/z

If  y = 4 when x = 8 and z = 14 then;

4 = k(8)/14

8k = 56

k = 7

To  find z when x = 36 and y = 6, we  will have:

6 = 7(36)/z
1 = 7(6)/z

z = 42

Hence the value of z if x = 36 and y = 6 is 42

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Answer:

Keep it simple. Answer:

y=kx/z

  k=7

 z=42

Step-by-step explanation:

Answer:

d=3(h-2)

Step-by-step explanation:

h=d/3+2

d/3=h-2

d=3(h-2)

Please mark me as Brainliest if you're satisfied with the answer.

Answer:

32.15 feet per second

Step-by-step explanation:

To convert a meters every corresponding value to a foot per second input, multiply the meter per second number by 3.2808398950131. (the conversion factor).

Answer:

3. 8 feet

Step-by-step explanation:

To find the horizontal distance (x) in feet, we can use the following steps:

Step 1: Determine the vertical height that the box has been lifted.

The difference between the two points is:

9 ft - 3 ft = 6 ft.

Therefore, the box has been lifted 6 feet.

Step 2: Use the slope of the ramp to find the horizontal distance (x).

The slope of the ramp is given as 3/4. This means that for every 3 feet the ramp rises vertically, it moves 4 feet horizontally. We can set up a proportion to solve for x:

3/4 = 6/x

We can cross-multiply to get:

3x = 24

Dividing both sides by 3 gives us:

x = 8

Therefore, the horizontal distance (x) is 8 feet.

So on solving the question Mary Ann saw each of these patterns of people while she was on the hill equation is 3x+2 and answer is 14.

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra.

Mary Ann saw each of these patterns of people while she was on the hill:

1)All in groups of two, no leftover

2) All in groups of four, two left over

3)All in groups of three, two leftover

4)All in groups of five, four leftover.

So the number must give 2 as remainder when divided by 3.

So the number must be 4x+2 . So the number will be 3x+2 Thus from the above information, we can easily say that the number is 3*4+2 = 12+2 = 14

However , we have to check whether 14 matches the last part.

Groups of five in which 4 was leftover.

2 groups of 5 taken out of 14 (2*5) will have 4 as a remainder.

So the right answer is 14.

Answer :14

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Answer:

y = - x + 9

Step-by-step explanation:

Because the line is perpendicular, the slope with be the opposite reciprocal. So, if the slope is 1 as in the equation y = x - 1, the opposite reciprocal is -1.

So the equation that is perpendicular will look like this so far:

y = -x + b   (b represents our y-intercept that we have not found yet)

Now we will find the y-intercept. We can find it by substituting the coordinates (5,4) as x and y into the equation right above ^^.

So,  4 = -(5) +b     or     4 = -5 + b

Add 5 to both sides to isolate b on the right side. b = 9

Therefore, the y-intercept is 9.

Now we have found everything we need for the equation, which is

y = - x + 9

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Answer:

k=16

Step-by-step explanation:

So the tangent line is

\(4x + k\)

and it tangent to function

\( {x}^{2} + 8x + 20\)

Since the slope of the tangent line is 4, this means the derivative of f(x) is 4 but first let find the derivative of

\( {x}^{2} + 8x + 20\)

Use the Sum Rule,

\( \frac{d}{dx} {x}^{2} + \frac{d}{dx} 8x + \frac{d}{dx} 20\)

Use the Power Rule and we get

\(2x + 8\)

Set this equal to 4

\(2x + 8 = 4\)

\(2x = - 4\)

\(x = - 2\)

So at x=-2, the slope of the tangent line is 4.

Plug -2 in the orginal function, and we get

\( { - 2}^{2} + 8( - 2) + 20 = 8\)

So the point must pass through -2,8 with a slope of 4.

\(y - 8 = 4(x + 2)\)

\(y - 8 = 4x + 8\)

\(y = 4x + 16\)

So the value of k is 16.

The answer is,

\( \frac{7u - 4v}{8v} \)

hope it helps.

Answer:

\(\frac{7u - 4v}{8v}\)

Step-by-step explanation:

Hope this will help

Answer: 52 people per bus

Step-by-step explanation:

The rescue organization saved 472 people.

Of this 472, 4 were saved by being air-lifted.

The rest went into buses.

The people in buses were:

= 472 - 4

= 468

They fit into 9 buses so the total per bus was:

= 468/9

= 52 people per bus

Answer:

y=2x+18

Step-by-step explanation:

y=mx+c --> let's solve now:

y-4=2x+14

y=2x+18

the "m" aka slope is 2.

the "y int." is 18

Answer:

Slope is X

Y-intercept is B

Solution

We need to find the mean, median and mode.

Since mean > median

The graph is right-skewed.

Add up the 3 items for subtotal.

Then take that subtotal and multiply by 0.20 (which is the same as 20%). That's your tip.

Add subtotal + tip and there's your total bill.

See attached screenshot.

Hope you have a good afternoon : )

The fractional equivalent of the repeating decimal 0.2 is 2/9

From the question, we have the following parameters that can be used in our computation:

Repeating decimal = 0.2

Represent properly

So, we have

Repeating decimal = 0.2222

Express as fraction

So, we have

Fraction = 2/(10 - n)

In this case

n = 1

So, we have

Fraction = 2/(10 - 1)

Evaluate

Fraction = 2/9

Hence, the fractional equivalent is 2/9

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The value of the bond is multiplied by the factor (1 + 0.04), which is the same as multiplying by 1.04. After t years, the value of the bond will be multiplied by this factor t times, giving the formula:

100(1.04)t.

So, the value of the bond after t years is given by 100 • 1.04t.

A factor in mathematics is an expression or number that divides another expression or number without producing a residue. In other terms, a factor is a unit of measurement that may be multiplied by another unit of measurement to yield a specific outcome.

For example, 2 and 3 are factors of 6, because 2 multiplied by 3 equals 6. Similarly, (x + 1) and (x - 3) are factors of the expression x^2 - 2x - 3, because when these factors are multiplied together, they produce the expression:

(x + 1) * (x - 3) = x^2 - 2x - 3

The bond is worth $100 initially, and it grows in value by 4% each year. This means that after one year, the value of the bond will be:

100 + 0.04(100) = 100(1 + 0.04) = 100(1.04)

In other words, the value of the bond after one year is the initial value (100) multiplied by a factor of 1.04.

Similarly, after two years, the value of the bond will be:

100(1.04) + 0.04(100)(1.04) = 100(1.04)²

After three years, the value of the bond will be:

100(1.04)² + 0.04(100)(1.04)² = 100(1.04)³

In general, after t years, the value of the bond will be:

100(1.04)t

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This graph represents Option D = \(-3(x+2)^{2} + 4\)

As the given figure is a parabola, it will have quadratic equation because the general equation of parabola corresponds  to \(x^{2} = 4ay\) which has highest power of the variable equals to 2, thus its a quadratic equation.

The maximum value of a quadratic equation \(ax^{2} + b x +c\)  is at points

\((-b/2a, c-\frac{b^{2} }{4a} )\)

By looking at the graph we can observe the point at which the graph has achieved maxima is (-2,4).

∴ (\(-b/2a = -2\) , \(c-\frac{b^{2} }{4a} = 4\)

The coefficient of \(x^2\) should be negative the graph opens downwards.

∴ Option B and C are eliminated.

On putting x = -2 only option D yields 4.

Thus this graph represents Option D = \(-3(x+2)^{2} + 4\)

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Andy weighs 44lbs. He is to receive 1tsp of medicine for every 15 kg he weighs. How many cc's will he receive? Round to the nSolution:Given,Andy weighs 44 lbs.Convert 44 lbs into kg.1 pound = 0.45359237 kg44 pounds = 19.958 kg1 tsp is given for every 15 kg he weighs.1 tsp = 5 cc (Approximately)Therefore, 19.958 kg will get,(1/15) * 1 tsp = (1/15) * 5 cc = 0.33333 cc (approximately)Therefore, the number of cc's Andy will receive = 0.33333 cc (Approximately)Aspirin 600mg is orderedYou have available gr v tablets. How many tablets will you give? Round to nearest whole numberSolution:Given,Aspirin 600 mg is ordered.You have available gr v tablets.1 gram = 1000 mg600 mg = 0.6 gTherefore, 0.6 g of aspirin is ordered.1 tablet contains gr v= 0.324 g (approx)Therefore, the number of tablets will be given = 0.6 g / 0.324 g ≈ 2The number of tablets to be given = 2 tablets (approximately).The doctor has ordered Tylenol 650mg. You have available Tylenol elixir g g/15cc. How many tsp will you give? Round to nearest whoSolution:Given,Tylenol 650 mg is ordered.Tylenol elixir is available.1 g = 1000 mg1 g / 15 cc = 0.0666667 g/ccTherefore, Tylenol elixir is 0.0666667 g/cc.Hence, the number of tsp will be given is 2 tsp (approx).A 55lb child is to receive liquid ampicillin 5mghkg of body weight. How many cc's will she receive if the ampicillin bottle is labeled 150mg/5 ce? Round to the nearest tenth.Solution:Given,The weight of the child is 55 lbs.1 pound = 0.45359237 kgTherefore, the weight of the child in kg is,55 lbs × 0.45359237 kg = 24.947 kgThe liquid ampicillin is 5 mg/kg.Therefore, the amount of liquid ampicillin will be given,24.947 kg × 5 mg/kg = 124.735 mg = 0.124735 gThe ampicillin bottle is labeled 150 mg/5 cc.Therefore, the amount of liquid to be given,150 mg/5 cc = 30 mg/ccTherefore, the number of cc's of liquid ampicillin to be given,0.124735 g × 1,000 mg/1 g × 1 cc/30 mg = 4.1581 cc ≈ 4.2 ccTherefore, the number of cc's of liquid ampicillin to be given is 4.2 cc (Approximately).

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Answer:

309.91

Step-by-step explanation:

-0.1 + 12.4 / (-0.2)² + 0.01

BIDMAS

(-0.2)² = 0.04

12.4 / 0.04 = 310

-0.1 + 310 = 309.9

309.9 + 0.01 = 309.91

The linear equation where y is the price of the number of markers x is as follows:

Let

the price of each marker = y

Therefore,

The price of a box with 10 markers = $7

The price of a box with 24 markers  = $14

(10, 7)(24, 14)

Using linear equation

where

m = slope

b = y-intercept

Therefore,

m = 14 - 7 / 24 - 10

m = 7 / 14

m = 1 / 2

Therefore, let's find b

7 = 1 / 2(10) + b

7 - 5 = b

b = 2

Therefore, the  linear equation where y is the price of the number of markers x is as follows:

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Answer:

y = 1/2x+2

Step-by-step explanation:

We have two points ( 10,7) and (24,14)

We need to determine the slope using the slope formula

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

    = ( 14-7)/(24-10)

   = 7/14

   = 1/2

The slope is 1/2

The slope formula is y=mx+b where m is the slope and b is the y intecept

y = 1/2x+b

Using one of the points

7 = 1/2 (10)+b

7 = 5+b

7 -5 =b

2=b

y = 1/2x+2

Answer:

Step-by-step explanation:

Answer:

The answer would be P(x) = 1573*(1.02)^x

Answer:

Step-by-step explanation:

5.6l/7= 0.8

0.8lx4=3.2 ice cream

0.8lx3=2.4 mixed juice

2.4x0.45=1.08 litres

54/1.08=50 batches!!

The maximum number of batches of smoothie that can be made

from 54 litres of grape juice is 50 litres.

First step is to find the mixed fruit juice liters

Let x liters represent the mixed fruit juice

0.45x= 54

Divide both side by 0.45x

x =54/0.45

x=120

Second step is to find the liters that can make the fruit smoothly

Ratio of ice cream and mixed fruit juice = 4:3

Where mixed fruit juice is:

Mixed fruit juice= 3 /(4+3)

Mixed fruit juice =3/7

Hence,

120 ÷ 3/7

120 ÷ 0.42857

= 280

Now let find the batches of smoothie that can be made from 54 litres of grape juice.

Batches of smoothie = 280 /5.6 litres

Batches of smoothie =50 litres

Therefore the batches is 50 litres.

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