During a review game, Mr. Pai's class correctly answered 65 questions on the first try. If there were 75 questions in the game, at what rate were questions answered correctly on the first try? Express your answer as a decimal. Round to the nearest thousandth.
A. 0.087
B. 0.867
C. 0.133
D. 1.154

The oldest Kim could be 7.

What is inequality?

The occurrence of an unfair and/or unequal distribution of opportunities and resources among the people that make up a society is referred to as inequality. To different people and in various settings, the word "inequality" may indicate different things.

Here,

Given

Josh is 4 years older than 2 times Kim's age.

The sum of their ages is less than 25.

We have to find the age of Kim.

Let Kim's age be x.

Then Josh's age is (2x+4)

The total is

 x + (2x+4) < 25.

Simplify and solve the inequality for x

 3x + 4 < 25

3x < 25-4= 21

 x < 21/3 = 7

Hence,  the oldest Kim could be 7.

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The value of the other points in the number line for each case are;

a) M = -2¹/₂

N = -1

R = 4

b) M = -1

P = 1

R = 1.6

c) M = -125

P = 125

N = -50

d) N = -6

P = 15

R = 24

a) We are given that P = 2¹/₂

From the point 0 of the number line to point P is 5 units and as such;

Each unit = 2¹/₂/5 = ¹/₂

Thus;

M = -2¹/₂

N = -1

R = 4

b) We are given that N = -0.4

From the point 0 of the number line to point N is 2 units and as such;

Each unit = 0.4/2 = 0.2

Thus;

M = -1

P = 1

R = 1.6

C) We are given that R = 200

From the point 0 of the number line to point R is 8 units and as such;

Each unit = 200/8 = 25

Thus;

M = -125

P = 125

N = -50

D) We are given that M = -15

From the point 0 of the number line to point N is 5 units and as such;

Each unit = 15/5 = 3

Thus;

N = -6

P = 15

R = 24

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The correlation between the obesity rate and the mortality rate is moderately strong.

In math correlation is defined as the a statistical measure that expresses the extent to which two variables are linearly related

Here we have given that Colorectal cancer (CRC) is the third most commonly diagnosed cancer among Americans (with nearly 147.000 new eases), ami the third leading cause of cancer death (with over 50.000 deaths annually).

Here the Research was done to determine whether there is a link between obesity and CRC mortality rates among African Americans in the United States by county.

And we need to find the correlation between obesity rates and mortality rates.

While we looking into the given question we have identified that the regression analysis was carried out to find the relationship between the obesity and CRC mortality rates so the response variable is mortality rate and input variable is obesity.

Therefore, the correlation is moderately stronger than the analyzed data.

Therefore, option (c) is correct.

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Answer:

Either A or B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(1.3^4 / 1.2^3)^7

1.2^ (3 · 7)  = 1.2^(21)

1.3 ^ (4 · 7) = 1.3^(28)

1.3^(28)/1.2^(21)

Answer:

450J/(kg-°C)​

Step-by-step explanation:

the basic stuff of temperature is 3.0kg×5.0°C ，then assumed to be x

the thermal energy was y

then it was a functions y=kx,the k was the specific heat of the material

[tex]k=\frac{6750}{15}[/tex]=450 J/kg·°C

Answer:

Since Adil takes 25 seconds to complete the race, and Tom takes 24 seconds, Tom wins the race.

Step-by-step explanation:

To determine who wins the race, we need to first convert the given information into comparable units. The speed of Adil is given in kilometers per hour, while the time taken by Tom to complete the race is given in seconds. We can convert Adil's speed to meters per second by dividing by 3.6:

28.8 km/hr = 28.8 km/hr * (1 hour / 3600 seconds) * (1000 meters / 1 km)

         = 8 meters/second

We can then use this value to find the time it takes Adil to complete the race:

time = distance / speed

   = 200 meters / 8 meters/second

   = 25 seconds

Since Adil takes 25 seconds to complete the race, and Tom takes 24 seconds, Tom wins the race.

The degree of a polynomial is the highest power of the variable in the polynomial. In this case, the highest power of w is 3, so the degree of the polynomial is 3.

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In this case, the leading coefficient is 12.

In summary, the polynomial -9-8w+3w+12w³ has degree 3 and leading coefficient 12.

Answer:

80 Meters by 80 Meters

Step-by-step explanation:

Perimeter is the distance around the rectangle.  60+60+100+100 = 320

The perimeter is 320 meters.

Area = Length times width

The area would be

100x 60 = 6,000 [tex]m^{2}[/tex]

If we change the length and width to 80 meters we would have the same perimeter

80+80+80+80 = 320 Meters, but the area would be larger

Area = 80 x 80 = 6,400 [tex]m^{2}[/tex]

The true statements are

Consider the two points in the line

(-1, 1) and (3, 2)

The slope of the line = (2-1) / (3 -(-1))

= 1/4

The slope intercept form is

y = mx + b

2 = (1/4)3 + b

2 = 3/4 + b

b = 2 - (3/4)

b = 5/4

The equation of the line y = (1/4)x + 5/4

(3, 2) and (-1, 1) are points on the line

Consider the point (1, 3/2)

3/2 = (1/4)1 + 5/4

3/2 = 1/4 + 5/4

3/2 = 3/2

Therefore, (1, 3/2) is the solution of the line

It has infinitely many solutions

Therefore, the correct statements are statements A, B, C, E, F

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The simplified form of the expression [tex]\sqrt{x^5y^6}[/tex]  is [tex]x^2y^3\sqrt{x}[/tex]

The given expression is  [tex]\sqrt{x^5y^6}[/tex]

The expression the mathematical statement that consist of different types of variables, numbers and the mathematical operators. The mathematical operators are addition, subtraction, division and multiplication. The equal sign and the inequality sign will not be the part of the expression

Here the given expression is

[tex]\sqrt{x^5y^6}[/tex]

We know that

[tex]\sqrt{x^2}[/tex] = x

Therefore, for each square values we can take that term outside of the square root

Here you can take x^4 take outside as x^2 and one x will remain in the square root, similarly you can take y^6 outside of the square root as y ^3

The final result =  [tex]x^2y^3\sqrt{x}[/tex]

Therefore, the simplified form is  [tex]x^2y^3\sqrt{x}[/tex]

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Answer: B. $10,000

Step-by-step explanation:

$550x60+5,000=38,000

Subtract $38,000 by purchase price.: $28,000.

total is $10,000.

The percentage of miles the car has left in battery charge is 10.77%

Total distance traveled when fully charged = 260 miles

The total charged used by the car = 232 miles of charges

The remaining charges left in the car battery = Total distance traveled when fully charged - The total charged used by the car

Here we have to use the subtraction

Substitute the values in the equation

= 260 - 232

= 28 miles of charges

The percentage of miles the car has left in battery charge = (28/260) × 100

= 10.77%

Therefore, 10.77% miles of charge left in the battery

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Answer:

4

Step-by-step explanation:

2/3 • 6

*Multiply 2 and 6 by 3.

= (2 × 6) / 3

= 12/3

*12 divided by 3 is equal to 4.

= 4

___________

hope it helps!

As calculated from the data (1/6)² is the probability of getting 5 of same number on all the dice.

b.)If we will limit the number of winners then we will be able to provide them with large prizes and that also by taking moderate rate from everyone.

Actually, the likelihood of winning is closer to one-third (25/72).

Carnival game organizers want you to believe, like I did, that a game is fair so that you will participate.

The likelihood that you would win a game was just about 1/3, so you probably wouldn't squander your money.

Therefore,

The likelihood of getting five of the same number on all six dice is (1/6)².

Probabilities are mathematical representations of the likelihood that an event will occur or that a statement is true.

Probability can also be expressed using a tree diagram.

The tree diagram makes it easier to organize and see all of the potential outcomes. The tree's branches and ends are its two primary locations. On each branch is written the probability, and the ends hold the results in the end.

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Applying central limit theorem number of books reads in one full year is equal to 720.

As given in the question,

Let X be the number of magazine read by Charlie.

Number of days in 12 months consider 30 days in each month 'n'

= 12 × 30

= 360 days

Number of magazine lies between 3500 and 3600

Consider μ = 2 and σ = √2

Central limit theorem , we have

z =( [tex]\bar{X}[/tex] - μ )/ σ/√n

[tex]\bar{X}[/tex] = X / n

Probability of total number of magazine reads between ( 3500 to 3600)

= P ( 3500 ≤ X ≤ 3600 )

= P( 3500/360 ≤ X/ n ≤3600/360)

= P( 9.72< X/n≤ 10 )

= P [ (9.72 - 2)/ √2/√360 ≤ ( X/n - μ)/σ/√n ≤(10 - 2)/ √2/√360]

= P(130.2 ≤ Z ≤107.4)

= P( 0≤Z≤107.4) - P (0≤Z≤130.2)

= φ( 130.2) + φ(107.4)

= 1 + 1      { φ(a) = 1 , a>1}

= 2

Number of books Charlie reads in one year =

∑2ₙ where n = 1 to 360

= 2+ 2+ 2+ ....+ 2 ( 360 times)

= 720 books

Therefore, using central limit theorem number of books reads in one full year is equal to 720.

The above question is incomplete , the complete question is :

Use the central limit theorem to approximate the probability that the total number of magazines that Charlie reads in one full year (12 months of 30 days each) is between 3500 and 3600. (Note that you are asked about the number of magazines, NOT the number of minutes of total reading time.) (Please answer the problem as written.) (Give an answer accurate to at least 3 decimal places.)

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The perimeter of ΔMNP is calculated as; 130

From the given image, it is clear that some sides are congruent to others as indicated.

Thus, we see the following;

QM is parallel and congruent to RS.

Similarly, we see that QR is parallel and congruent to MS.

PR is parallel and congruent to QS.

NR = PR because of line segment division.

Thus, we can plug in the relevant values to get;

PR = QS = 22 = NR

Similarly, MS = SP = QR = 25

RS = x + 4 and so;

x + 4 + x + 4 = 5x - 34

42 = 3x

x = 14

MN = 5(14) - 34

MN = 36

Thus, the perimeter of ΔMNP = 36 + 25 + 25 + 22 + 22

= 130

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a) The number of ways in which the dogs can be lined up in a row is = 15! / 5!

b) The number of ways in which the dogs can be distinguished by their sweater colours is 15! / (3! × 4! × 3! ×5!)

c) The probability that the instructor sees all of the dogs with the same sweater colour sitting next to each other is

(a) The total number of dogs is 15, of which 5 dogs are Dalmatians and others are different.

So, by using permutation the number of dogs can be arranged in 15! / 5! ways.

(b) There are 3 dogs wearing yellow sweater, 4 dogs wearing red sweater, 3 dogs wearing blue sweater, and 5 dogs wearing green sweater.

Thus, the number of dogs can be arranged in 15! / (3! × 4! × 3! ×5!) ways.

(c) The 15 dogs can be arranged in 15! ways.

There are sweaters of 4 different colours, so the 4 colours can be arranged in 4! ways.

There are 3 dogs wearing yellow sweater, so they can be arranged in 3! ways.

There are 4 dogs wearing red sweater, so they can be arranged in 4! ways.

There are 3 dogs wearing blue sweater, so they can be arranged in 3! ways.

There are 5 dogs wearing red sweater, so they can be arranged in 5! ways.

Therefore, the probability  that the instructor sees all of the dogs with the same sweater colour sitting next to each other is

4! (3! × 4! × 3! ×5!) / 15!

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For automobile traffic, dB=81.987657 dB.

For quiet conversation is 40.33423 dB.

For fender guitar, 115.56302 dB.

For jet engine, 151.98657 dB.

(A)

The intensity of automobile traffic is, I=1.58x10^8 I.

Given: dB=10 log (I/I0)

Substituting the value of I,

dB= 10 log (1.58x10^8 I/I)

=10 log (1.58x10^8)

Using the logarithm property,

=10 (log (1.58)+log (10^8))

=10 (log (1.58)+8 log (10)

=10( log (1.58)+8(1)

=80+1.98657

=81.98657

Thus, for automobile traffic, dB=81.987657 dB.

B)

Quiet conversation, I=10800 I0

dB= 10 log (10800 I0/I0)

=10 log (10800)

=10 log (1.08x10^4)

=10 log (1.08)+log (10^4)

=10 (log (108)+4log (10))

=10 (log (1.08+4*(1))

=40+10 log (1.08)

=40+0.33423

=40.33423 dB.

Thus, for quiet conversation is 40.33423 dB.

C)

Fender guitar, I=3.16x10^11 I0

dB= 10 log (3.16x10^11 I0/I0)

=10 (log (3.16)+11)

=110+10 log (3.16)

=110+5.56302

=115.56302

Thus, for fender guitar, 115.56302 dB.

D)

Jet engine, I=1.58x10^5 I0

dB= 10 log (1.58x10^15 I0/I0)

=10 (log (1.58)+15)

=150+10 log (1.58)

=150+1.98657

=151.98657

Thus, for jet engine, 151.98657 dB.

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Answer:

382^2 mod

Step-by-step explanation:

To determine the shared secret key, we need to use the formula (g^a mod p)^b mod p = (g^b mod p)^a mod p, where g is the generator, p is the prime, a is our secret number, and b is the value sent by Aisha. Plugging in the values, we get (7^227 mod 437)^308 mod 437 = (7^308 mod 437)^227 mod 437.

To solve for the shared secret key, we first need to calculate (7^308 mod 437). This can be done by raising 7 to the 308th power and then taking the remainder when divided by 437. We can do this by repeatedly squaring 7 and taking the remainder each time. This results in the following sequence:

7^2 mod 437 = 49

7^4 mod 437 = 161

7^8 mod 437 = 267

7^16 mod 437 = 9

7^32 mod 437 = 49

7^64 mod 437 = 161

7^128 mod 437 = 267

7^256 mod 437 = 9

7^512 mod 437 = 49

Since 512 is greater than 308, we can stop here and use the value 49 as the result of 7^308 mod 437. We can now plug this value into the formula to calculate the shared secret key: (49^227 mod 437)^308 mod 437 = (49^308 mod 437)^227 mod 437.

To solve for the shared secret key, we need to find the value of 49^308 mod 437. This can be done using the same method as before, by repeatedly squaring 49 and taking the remainder each time. This results in the following sequence:

49^2 mod 437 = 67

49^4 mod 437 = 382

49^8 mod 437 = 221

49^16 mod 437 = 67

49^32 mod 437 = 382

49^64 mod 437 = 221

49^128 mod 437 = 67

49^256 mod 437 = 382

Since 256 is greater than 308, we can stop here and use the value 382 as the result of 49^308 mod 437. We can now plug this value into the formula to calculate the shared secret key: 382^227 mod 437 = 382^227 mod 437.

To find the shared secret key, we need to calculate 382^227 mod 437. This can be done using the same method as before, by repeatedly squaring 382 and taking the remainder each time. This results in the following sequence:

The image of P after the rotation of 90° counterclockwise is (-1, 1)

Here we have the point P = (-1, -1), notice that both values are negative, thus, the point is on the third quadrant.

For any point (x, y) on the third quadrant, if we apply a rotation of 90° counterclockwise the new coordinates of the point (coordinates of the image) after the reflection are (y, -x)

In this case the original coordinates are (-1, -1), so the coordinates after the reflection are (-1, -(-1)) = (-1, 1)

The image after the rotation is  (-1, 1).

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Answer:

Step-by-step explanation:3.5 bytes

Answer: Line 1

Step-by-step explanation:

Without looking at the context given, everything seems to be normal, everything is correct. Inputting n = -11 into line 1 makes it true. But when we take a look at the context given, we can see that the equation that it said "6 less than 4 times a number" meaning we were supposed to take 6 and subtract it from 4 times the number, meaning the actual equation is

4n - 6 = 50

Therefore, line 1 made an error

True, the graphical solution method of linear programming employs the corner point method to find the optimal solution.

The most straightforward method of problem optimization is linear programming. We can turn a real-world issue into a mathematical model using this approach. Linear programming can be used to handle a wide range of issues in many different fields, although it is typically applied to issues where the goal is to maximize profit, cut costs, or use resources as sparingly as possible.

Explanation:

The corner point method of graphical linear programming involves plotting the linear equations representing the constraints of the problem onto a graph and then finding the points of intersection of the equations. These points of intersection are called the corner points, and the optimal solution will be located at the corner point that produces the greatest value.

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Answer: Luisa is correct.

Step-by-step explanation: Luisa is correct. To find the solution to the equation, we need to isolate the radical expression on one side of the equation. If we subtract x from both sides, we get √5 + 4x - x = x - x, or √5 = 0. Since the square root of any number is always positive, this equation has no solution. Therefore, the solution is H = 5.

On the other hand, if we square both sides of the equation, we get 5 + 8x + 4x^2 = x^2. If we simplify this equation, we get x^2 + 8x - 5 = 0. This equation can be solved using the quadratic formula, which gives us x = (-8 +/- sqrt(64 + 20))/2. This simplifies to x = (-8 +/- sqrt(84))/2. The solutions to this equation are x = -1 and x = 5. However, since we squared both sides of the original equation, we have to check whether these solutions actually work in the original equation. Substituting x = -1 into the original equation gives us √5 + 4(-1) = -1, or √5 = -1. This is not a valid solution, since the square root of any number is always positive. However, substituting x = 5 into the original equation gives us √5 + 4(5) = 5, or √5 = 0. This is a valid solution, since the square root of any number is always positive. Therefore, the only solution to the original equation is x = 5, which is the solution that Luisa found.

The period of some number of  consecutive days during which the team must  play exactly 14 games should be that 2 games plays at  these days  1,5,10,15,20,25,30 individually....

As there are 30 days in a month.

So we have to arrange these 14 games during this time period of 30 days,

Which will be arranged as:

suppose its 1 st month of 2023,

So,

2 games at day  =    1/1/2023

2 games at day   =    5/1/2023

2 games at day   =    10/1/2023

2 games at day   =    15/1/2023

2 games at day   =    20/1/2023

2 games at day   =    25/1/2023

2 games at day   =    30/1/2023  

So from here we conduct:

2+2+2+2+2+2+2=  14 games

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Answer:

P (n,r)

Step-by-step explanation:

The correct representation for a permutation is P (n,r).

Answer:

The answer is (10) 8' and (3) 12 A

Step-by-step explanation:

To build a wall that is 12' long and 8' high, you will need (10) 8' 2x4's and (3) 12' 2x4's. This will give you the necessary length for the bottom and top plates and 10 studs. Each stud should be spaced about 16" on center, so 10 studs will be enough to support the wall.

25 bps decrease in interest rate, bond price increases by 1.425% when A bond with a 6 percent semiannual coupon has a 5.7.

Given that,

A bond with a 6 percent semiannual coupon has a 5.7 Macaulay duration and a 7.4 percent yield to maturity. A 25 basis point drop in yield to maturity will result in a ____ percentage price rise for the bond, which has an adjusted duration of .

We have to fill the blank.

We know that,

% increase in bond price = Duration of bond × % change in interest rate

= 5.70×0.25%

= 1.4250%

Therefore,  25 bps decrease in interest rate, bond price increases by 1.425% when A bond with a 6 percent semiannual coupon has a 5.7.

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Answer:

y = 3x + 37

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 13 ) and (x₂, y₂ ) = (- 6, 19 )

m = [tex]\frac{19-13}{-6-(-8)}[/tex] = [tex]\frac{6}{-6+8}[/tex] = [tex]\frac{6}{2}[/tex] = 3 , then

y = 3x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 8, 13 ) , then

13 = 3(- 8) + c = -24 + c ( add 24 to both sides )

37 = c

y = 3x + 37 ← equation of line