divide 120 in the ratio of 1 : 4​

a) There is not enough evidence to conclude that cars get significantly better fuel economy with premium gasoline.

In order to test the belief that premium gasoline provides better fuel economy, a study was conducted using 10 cars from a company fleet. Each car was randomly assigned either regular or premium gasoline, and the mileage for each tankful was recorded. The data was analyzed to determine if there is a significant difference in fuel economy between the two types of gasoline.

To evaluate this, a paired t-test can be used since the same cars were tested with both types of gasoline. The null hypothesis would be that there is no difference in fuel economy between regular and premium gasoline, while the alternative hypothesis would be that there is a significant difference.

The results of the study would be analyzed using the appropriate statistical test, such as a paired t-test, to determine the p-value. If the p-value is less than the chosen significance level (e.g., 0.05), then there would be evidence to reject the null hypothesis and conclude that there is a significant difference in fuel economy.

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The number of people in a household with 2.5 pounds of waste are = 11

and we calculate this on the basis of question below

Predict the number of people in a household with 2.5 pounds of waste pounds of waste 0.27,1.41,2.19,2.83,2.19,1.81,0.85,3.05. In Home 2 3 3 6 4 2 1 5

pound    0.27  ,1.41,  2.19  ,2.83  ,2.19  ,1.81  ,0.85,  3.05  

people      2          3      3       6        4        2        1       5

so now the question is complete

in pound section we have to take care which value are greater than 2.5

so 2.83 and 3.05 is greater than 2.5 so here  number of people who's home have greater than 2.5 pound of waste are 6+6=11

and rest people who's home has less than 2.5 pound waste are 2+3+3+4+2+1=15

so final ans is 11.

so this question was in complete and this ans is valid for this Question only.

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1. AB = 10 ( as all sides or rhombus are equal )

2. Angle CED = 90° ( in a rhombus diagonals intersect at right angles. )

hope this answer helps you dear....I only know these

may u have a great day ahead!

Answer:

h= -28

Step-by-step explanation:

h+14=-14 isolate h by subtracting 14 on both sides

h= -28

Answer:

h=-28

Step-by-step explanation:

k byeeeeeeeeeeeeee:)

Answer: b = 5

Step-by-step explanation:

        The standard form of a quadradic equation is 0 = ax² + bx + c. To do this, we will move all values to one side of the equation.

        Given:

8x + 4 = -2x² + 3x + 1

        Subtract (8x + 4) from both sides of the equation:

0 = -2x² - 5x - 3

        Lastly, we are given that a = 2, so we will divide both sides of the equation by -1.

0 = -2x² - 5x - 3

0 = 2x² + 5x + 3

        We are asked to find the value of b.

0 = ax² + bx + c

0 = 2x² + 5x + 3   ➜   b = 5

Answer:

\(\sqrt{216}\) (if that didn't work i said square root of 216)

Step-by-step explanation:

6×6×6=216

Sector perimeter equals 2 radius plus arc length. The formula for calculating arc length is: arc length = l = (/360) 2 r. As a result, the sector's perimeter is equal to 2 Radius plus ((/360) 2r).

The perimeter of a form is its entire outer circumference. Using what we know about determining the length of an arc, we can get the perimeter of a sector. The intersection of two radii and an arc creates a sector. We must sum these values in order to determine the perimeter. Arc length plus two is the perimeter.

Sector area is easily calculated by multiplying the central angle by the radius squared and dividing by two: Sector Area is equal to r2 / 2.

When the sector angle = 360° , curved length of the arc = 2πR

Hence when the central angle = 80 degree, the curved length = (80/360x(2πR)

= 1.3963 R = 1.3963 * 6 = 8.3776 cm.

Hence the perimeter = R + R + 8.3776 = 20.3776 cm

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Answer:

B x=14

Step-by-step explanation:

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Answer:

Scale is every 1 inch on the blueprint is 2 inches scaled In reality

Step-by-step explanation:

7/3.5=2

so 2 inches for every 1 inche in the scale

Answer:

1:2

Step-by-step explanation:

7/3.5=2

=1:2

Integral can be defined as the reverse process of differentiation. Integration is the process of finding the integral of a function. The integral of a function is represented by the symbol ‘∫’.

The anti-derivative or primitive function is a function whose derivative is the given function.

Here, we are given that:

∫X4x2−16dxWe can re-write the given function as:

∫X^4 (x^2 - 16) dx= ∫ X^4 (x + 4) (x - 4) dx

We will now use integration by substitution to solve the above integral:

Let u = x^2 - 16 => du/dx = 2x => dx = du/2x= (1/2) ∫ X^4 (x + 4) (x - 4) dx

Now, substitute the value of u and dx:=(1/2) ∫X^4 (x + 4) (x - 4)

dx= (1/2) ∫(u+16) (u)1/2 du= (1/2) ∫(u3/2 + 16u1/2)

du= (1/2) [2/5 u5/2 + 32/3 u3/2] + C= (1/2) [2/5 (x^2 - 16)5/2 + 32/3 (x^2 - 16)3/2] + C

Therefore, the final solution of the integral is: (1/2) [2/5 (x^2 - 16)5/2 + 32/3 (x^2 - 16)3/2] + C.

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The graph that correctly models Miguel's travel time and distance is the one that increases, is constant, increases rapidly, increases, and then is constant.

The graph that correctly models Miguel's travel time and distance is the one where the graph increases, is constant, increases rapidly, increases, and then is constant.

This graph represents Miguel's travel sequence accurately.

At the beginning, the graph increases as Miguel rides his skateboard to reach the bus stop.

Once he arrives at the bus stop, there is a period of waiting, where the distance remains constant since he is not moving.

When the bus arrives, Miguel boards the bus, and the graph increases rapidly as the bus covers a significant distance in a short period.

This portion of the graph reflects the bus ride to the mall.

Upon reaching the mall, Miguel gets off the bus, and the graph remains constant as he walks across the parking lot to the closest entrance.

The distance covered during this walk remains the same, resulting in a flat line on the graph.

Therefore, the graph that accurately represents Miguel's travel time and distance is the one that increases, is constant, increases rapidly, increases, and then is constant.

It aligns with the different modes of transportation he uses and the corresponding distances covered during his journey.

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There are two rectangles.

1= 8 x 4 = 32

2= 2x6 = 12

Total = 32 + 12 = 44 square km

Answer:

44 sq. KM

Step-by-step explanation:

To find the total area, we have to add the area's of each rectangle. For the bigger rectangle, we will go base times height.

\((8)(4)=32\)

For the smaller rectangle, the width is 2 and height is 6 so we will multiply those.

\((2)(6)=12\)

Now we have to add the two areas to get the grand area.

\(32+12=44\)

The area is 44 square km

The value of x is 311.14, 1527.15 and 1.61%.

Given that x = PV(1+r)^t. Assume PV=190.00, r=9.00%, and t=5.00.

Substitute the given values in the above expression, we get

x = 190(1 + 0.09) ^ 5

Simplify the above expression, we get: x = 190(1.09) ^ 5 = x = 190 × 1.63861881 = x = 311.1371749

Thus, the value of x is 311.14 (rounded to 2 decimal places).

Given that x = FV/(1+r)^t. Assume FV=3,054.00, r=9.00%, and t=8.00.

Substitute the given values in the above expression, we get: x = 3054/(1 + 0.09) ^ 8

Simplify the above expression, we get;: x = 3054/1.999675406`x = 1527.15

Thus, the value of x is 1527.15 (rounded to 2 decimal places).

Given that FV = P(1 + x) ^ t. Assume FV=1,017.00, PV=835.00, and t=6.00.

Substitute the given values in the above expression, we get: 1,017 = 835(1 + x) ^ 6

Divide both sides of the equation by 835.00, we get: 1,017/835 = (1 + x) ^ 6

Take the 6th root of both sides of the equation, we get: (1.215568862)^(1/6) = 1 + x

Simplify the above expression, we get: 1.0160907 = 1 + x = x = 1.0160907 - 1 = x = 0.0160907

Converting decimal into percentage, we get: 0.0160907 × 100 = 1.61%

Thus, the value of x is 1.61% (rounded to 2 decimal places).

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Answer:

The price where the manufacture sells the maximum number of toys is $20

Step-by-step explanation:

The given equation for that represents the number of toys the manufacturer can sell is given as follows;

T = -4·p² + 160·p - 305

Where;

p = The price of the toys in dollars

At the point where the manufacture sells the maxim number of toys on the graph of the equation T = -4·p² + 160·p - 305, which is the top of the graph, the slope = 0

Therefore, at the maximum point;

The slope = 0 = dT/dp = d(-4·p² + 160·p - 305)/dp = -8·p + 160

∴ -8·p + 160 = 0

160 = 8·p

8·p = 160

p = 160/8 = 20

The price where the manufacture sells the maximum number of toys is = p = 20 dollars

One ream of paper refers to a standardized quantity of paper that typically consists of 500 sheets of paper of a specific size and weight.

A ream of paper is a commonly used quantity in the paper industry and refers to a standardized amount of paper. A ream usually consists of 500 sheets of paper of a specific size and weight. The size and weight of the paper may vary depending on the intended use, but the most common size for a ream of printer paper is 8.5 x 11 inches, also known as "letter size." One ream of paper is often used as a baseline for pricing and ordering paper products. For example, if you were to order "10 reams of paper," you would receive 5,000 sheets of paper.

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Length = 5 ft & width = 5 ft of a rectangle that has the given area .

What is called rectangle?

Let the length and width of rectangle be x feet and y feet respectively.

Give       area = 25 feet²

                x y = 25 feet²

                 y = 25/x feet²   ..................1

Now let perimeter is p

then    p = 2 (x+y) = 2x + 2y

           p = 2x + 2 × 25/x

           P = 2X + 50/x

diffrentiating w.r.t. x

            p'  = 2 - 50/x² .................2

putting p' = 0 to find critical point

        2 -  50/x²   = 0

          x²  = 25

           x  = 5                         [ x ≠ 5 ∴ length can not be negative ]

Now,    p'' = 0 + 100/ x³                       from (2)

checking value of p'' at critical point

      p'' at x = 5        = 100/(x)³         > 0

Hence, perimeter is minimum at x = 5 ft

putting       x = 5  in equation 1

                  y = 1

Hence,          length = 5 ft

                       width = 5 ft

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Answer:

(-4)

Step-by-step explanation:

i believe that the answer

Answer:

1.6 minutes

Step-by-step explanation:

6.4 meters/4 speed

The interval the value of the function (f - g)(x) is negative is (-∞, 2]

A function is a rule or definition that maps an input variable unto an output such that each input has exactly one output.

The equations on the possible graphs in the question, obtained from a similar question posted online are;

f(x) = x - 3

g(x) = -0.5·x

(f - g)(x) = x - 3 - (-0.5·x) = 1.5·x - 3

(f - g)(x) = 1.5·x - 3

Therefore; The x-intercept of the function (f - g)(x) = 1.5·x - 3 is; (f - g)(x) = 0 1.5·x - 3

1.5·x - 3 = 0

1.5·x = 3

x = 3/1.5 = 2

x = 2

The y-intercept is the point where, x = 0, therefore;

(f - g)(0) = 1.5×0 - 3 = -3

The interval the function is negative is therefore;

The equations of the possible graphs of the function, obtained from a question posted online are;

f(x) = x - 3, g(x) = -0.5·x

The interval the function (f - g)(x) is negative is required

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Answer:12.04

Step-by-step explanation:

A^2 +B^2=C^2- pythag formula

8x8=64

9x9=81

64+81 =145

c= root 145  square root it as a squared + b squared = c squared

c=12.0415

Its equation in the slope-intercept form will be y = -3 because the y coordinates of both points are equal.

Given points in terms of coordinates so let's try to understand what are coordinates.

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x-axis (horizontal) and y-axis(vertical) are the two axes that make up a coordinate plane. (Telling children that the x-axis crosses because "x" is a cross helps them remember which of these is which.)

We have total 4 coordinates

First Coordinate both x and y are positive.

Second Coordinate x is negative and y is positive.

Third Coordinate both x and y are negative.

Fourth Coordinate x is positive and y is negative.

Point A is (14, -3)

Point B is (-10, -3) both have the same y coordinate.

So line AB is parallel to the x-axis.

The formula for the equation in the slope-intercept formula is

y = mx + c.

m is the slope of the line and c is the intercept on the y-axis.

Line AB is parallel to the x-axis the equation is y = -3.

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Answer:

\(-\frac{7}{12}\)

Step-by-step explanation:

I hope this helps!

Answer:

x \(\geq\) -40.6

Step-by-step explanation:

9/5x + 23 \(\geq\) -50 (subtract 23 over to other side)

9/5x \(\geq\) -73 (multiply by 5)

9x \(\geq\) -365 (divide by 9)

x \(\geq\) -40.6

Answer:

other root: x = 9

p = 7

Step-by-step explanation:

first, find p:

(8)² - (3p - 4)8 + 11p -5 = 0

64 - (24p - 32) + 11p - 5 = 0 –––––> 64 - 24p + 32 + 11p - 5 = 0

91 - 13p = 0

-13p = -91

p = 7

plug in p to find the polynomial:

x² - (3(7) - 4)x + 11(7) - 5 = 0

x² - (21 - 4)x + 77 - 5 = 0

x² - 17x + 72

find the roots:

we know that 8 is one of the roots, so one factor is (x - 8)

the other number needs to be something that equals -17 when added with -8 and 72 when multiplied by -8

that number is -9

so the poly nomial factors to be: (x-8)(x-9)

so the roots are x = 8 and x = 9

Answer:

p = 7

Step-by-step explanation:

x²-(3p-4)x+11p-5=0    ...(1)    Root: 8, x-8 is factor

(x-8) (x- (11p-5)/8) = 0

x² -8x - ((11p-5)/8)*x + (11p-5) = 0

x² - (8 + (11p-5)/8) x + 11p-5 = 0   ----(2)

compare(1) and (2): 3p-4 = 8 + (11p-5)/8

24p - 32 = 64 + 11p - 5

13p = 91

p = 7

check: x²-(3p-4)x+11p-5 = x²- 17x + 72 = (x-8)(x-9)

Based on the calculations, the volume of this louvre pyramid is equal to 8,983 cubic meter..

Given the following data:

Base width = 35 meters.

Height = 22 meters.

Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × base area × height

For the base area, we have:

Area = w²

Area = 35² = 1,225 m².

Substituting the parameters into the formula, we have;

Volume = 1/3 × 1,225 × 22

Volume = 1/3 × 26,950

Volume = 8,983 cubic meter.

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Let's solve for each value:

0 - 18 + 12 = -6

12 - (-18) = 12 + 18 = 30

18 + (-12) = 18 - 12 = 6

0 - 12 - 18 = -30

Therefore the greatest value is:

12 - (-18) = 12 + 18 = 30

Answer: y=2x-1

Step-by-step explanation:

In slope intercept form y=Mx+b

Mx=slope and b=intercept

Y=2x-1

The equation of line with slope m = 2 and y-intercept is -1 is given by

y = 2x - 1

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the slope of the line m = 2

Let the y intercept of the line b = -1

Now , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

y = 2x - 1   be equation (1)

Therefore , the value of A is y = 2x - 1

Hence , the equation of line is y = 2x - 1

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Answer:

x = 40

Step-by-step explanation:

All of those claims are true.

We can describe positive temperatures such as room temperature (20 degrees C = 68 degrees F), and we can have negative temperatures as well (eg: -40 degrees C = -40 degrees F). The only time we cannot have negative temperature is when you use the Kelvin temperature scale. This is because absolute 0 represents the coldest possible temperature in the universe. In more common settings, Celsius and Fahrenheit are frequently used.

Debt and money are often involving negative integers. If we were to write -7 in terms of money, then it could represent a person owing $7. Positive values represent having the actual money and not being in debt.

When it comes to elevations, positive integers represent being above sea level; while negative values are below sea level. For example, Mount Everest is +29035 above sea level (or simply 29035 ft) and the Mariana Trench roughly has an elevation of -36201 ft (meaning it's about 36201 ft below sea level).