A biologist recorded plant heights in centimeters:
23, 21, 3, 31, 27, 28, 32, 24, 30
The outlier is removed from the data set. By how many centimeters does
the range decrease? Help

\(\bf Correct Question\)

the length of a square room is 8m . what will be the cost of carpeting the room with carpet of width 128cm at the rate of Rs 120 per meter square?

\( \\ \\ \)

\( \\ \\ \)

\( \\ \\ \)

So to find cost we have to find Area

\( \\ \\ \)

We know

\( \dashrightarrow \sf Area = l \times b\)

\( \\ \)

\( \dashrightarrow \sf Area = 8 \times 1.28 {m}^{2} \)

\( \\ \)

\( \dashrightarrow \sf Area =10.24{m}^{2} \)

\( \\ \)

Total Cost :-

\( \therefore \underline {\textsf{\textbf{Total cost of carpeting is equal to \red{1228.8 rupees}}}}\)

Answer: Part A: Option C) 7.5x≥60

Part B: 8 hours

Step-by-step explanation:

Part A: To represent the situation in terms of x hours, we can use the formula:

Distance driven ≤ distance the car can travel per hour × hours the car is charged

Since Eva needs to drive at least 60 miles and the car can travel 7.5 miles per hour of charging, we can write the inequality as:

60 ≤ 7.5x

The correct answer is (C) 7.5x ≥ 60.

Part B: To find the least amount of time that Eva will need to charge her car, we can solve the inequality from Part A as follows:

7.5x ≥ 60

x ≥ 8

This means that Eva will need to charge her car for at least 8 hours to be able to drive at least 60 miles.

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Answer: I don’t know how to really read that term but the coefficient in ANY term will be the number directly behind a variable. For example, 2x, the variable is ‘x’ and the coefficient is 2. But in the case 2 (space in between) x , 2 is not a coefficient of x. It’ll be 1 because if a variable is by its self, ‘x’, there is always an invisible 1 because the variable is by itself meaning there is only one. You don’t need to put a 1 behind ‘x’ because it should be known already. The coefficient basically tells you how many unknown values there are and the variable tells you the unknown value (when you eventually solve for it).

Using this information try to find the coefficient for that term or rewrite the term correctly.

I really tried to explain it the best way I could; hoped this helped :)

The vertex form of the given quadratic equation is

\(4(x-1)^{2} + 16 =0\).

According to the given question.

We have a quadratic equation

\(4x^{2} -8x + 20 = 0\)

Since, for the standard quadratic form is \(ax^{2} +bx + c = y\), the vertex form of a quadratic equation is \(y = a(x -h)^{2} + k\) where (h, k) is the vertex.    

And h and k can be calculated as

h = -b/2a and y = k

So, for the given equation \(4x^{2} -8x + 20 =0\) the vertex (h, k) is given by

h = -(-8)/2(4) = 8/8 = 1   (X coordinate of vertex)

and,

\(y =4x^{2} -8x+ 20\)

substitute x = 1 in the above equation for the value of k

Y = 4(1)(1) - 8(1) + 20

⇒ Y = 4 - 8 + 20

⇒ Y = -4 + 20

⇒ Y = 16

so, k = 16          (Y coordinate of vertex)

Now, substitute the value of a, k and h in \(y = a(x-h)^{2} + k\).

⇒  \(0 =4(x-1)^{2} + 16\)

Therefore, the vertex form of the given quadratic equation is

\(4(x-1)^{2} + 16 =0\).

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Answer: -9

Step-by-step explanation:

(6+3) = 9

(4-5)=-1

9➗-1 = -9

ANSWER

6+3= 9,

4-5= (-1) ,

9/-1= -9

The solution to the given system of equations is x = 2, y = -1, and z = 1.

To solve the system of equations, we can use methods such as substitution or elimination. Here, we will use the method of elimination to find the values of x, y, and z.

First, let's eliminate the variable x by multiplying equation (1) by 2 and equation (3) by -1. This gives us:

2x + 4y - 2z = -6 (4)

-x + y - z = -4 (5)

Next, we can subtract equation (5) from equation (4) to eliminate the variable x:

5y - z = 2 (6)

Now, we have a system of two equations with two variables. Let's eliminate the variable z by multiplying equation (2) by 2 and equation (6) by 1. This gives us:

4x - 2y + 2z = 10 (7)

5y - z = 2 (8)

Adding equation (7) and equation (8), we can eliminate the variable z:

4x + 5y = 12 (9)

From equation (6), we can express z in terms of y:

z = 5y - 2 (10)

Now, we have a system of two equations with two variables again. Let's substitute equation (10) into equation (1):

x + 2y - (5y - 2) = -3

x - 3y + 2 = -3

x - 3y = -5 (11)

From equations (9) and (11), we can solve for x and y:

4x + 5y = 12 (9)

x - 3y = -5 (11)

By solving this system of equations, we find x = 2 and y = -1. Substituting these values into equation (10), we can solve for z:

z = 5(-1) - 2

z = -5 - 2

z = -7

Therefore, the solution to the given system of equations is x = 2, y = -1, and z = -7.

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The correct pair of Transformations to produce an image that is on top of the original figure is a 180° counterclockwise rotation and a reflection over the horizontal line of symmetry shown, which is option D.

To produce an image that is on top of the original figure, we need to perform a series of transformations that include a reflection and a translation.

Option A suggests a translation to the right and a reflection over the vertical line of reflection shown. This transformation would move the hexagon to the right of the original position, so it is not the correct pair of transformations.

Option B suggests a translation down and a reflection over the horizontal line of reflection shown. This transformation would move the hexagon below the original position, so it is also not the correct pair of transformations.

Option C suggests a 90° clockwise rotation and a reflection over the vertical line of reflection shown. This transformation would rotate the hexagon and reflect it over the vertical line of reflection, but it would not produce an image that is on top of the original.

Option D suggests a 180° counterclockwise rotation and a reflection over the horizontal line of symmetry shown. This transformation would rotate the hexagon by 180° and reflect it over the horizontal line of symmetry. The resulting image would be on top of the original, with the hexagon in the same position, shape, and size.

Therefore, the correct pair of transformations to produce an image that is on top of the original figure is a 180° counterclockwise rotation and a reflection over the horizontal line of symmetry shown, which is option D.

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Answer:

d = -2

Step-by-step explanation:

→Distribute the -4 to (-3d - 3)

-4(-3d - 3) = 6d

12d + 12 = 6d

→Subtract 6d from both sides:

6d + 12 = 0

→Subtract 12 from both sides:

6d = -12

→Divide both sides by 6:

d = -2

Answer:

\( \boxed{d = -2} \)

Step-by-step explanation:

\(= > - 4( - 3d - 3) = 6d \\ \\ = >( ( - 4) \times ( - 3d)) - ( - 4 \times 3) = - 6d \\ \\ = > 12d + 12 = 6d \\ \\ = > 12d - 6d + 12 = 0 \\ \\ = > 6d + 12 = 0 \\ \\ = > 6d = - 12 \\ \\ = > d = - \frac{12}{6} \\ \\ = > d = - 2\)

Answer:

24cm^2

Step-by-step explanation:

3cm times 8cm = 24cm^2

Answer:

A=b*h

Step-by-step explanation:

base=5

height=3

5*3=15

15 is the answer

The preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of the new long-distance aircraft is approximately $700 million.

To estimate the cost of building a 600-MW fossil-fuel plant, we can use the cost capacity exponent factor and the cost index.

First, let's calculate the cost capacity ratio (CCR) for the 600-MW plant compared to the 200-MW plant:

CCR = (600/200)^0.79

Next, we need to adjust the cost of the 200-MW plant for inflation using the cost index. The cost index ratio (CIR) is given by:

CIR = (current cost index / base cost index)

Using the given information, the base cost index is 400 and the current cost index is 1200. Therefore:

CIR = 1200 / 400 = 3

Now, we can estimate the cost of the 600-MW plant:

Cost of 600-MW plant = Cost of 200-MW plant * CCR * CIR

Using the information provided, the cost of the 200-MW plant is $100 million. Plugging in the values, we have:

Cost of 600-MW plant = $100 million * CCR * CIR

Calculating CCR:

CCR = (600/200)^0.79 ≈ 2.3367

Calculating the cost of the 600-MW plant:

Cost of 600-MW plant = $100 million * 2.3367 * 3

Cost of 600-MW plant ≈ $700 million

Your question is incomplete but most probably your full question was

Suppose that an aircraft manufacturer desires to make a preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of its new long- distance aircraft. It is known that a 200-MW plant cost $100 million 20 years ago when the approximate cost index was 400, and that cost index is now 1,200. The cost capacity exponent factor for a fossil-fuel power plant is 0.79. What is he preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of the new long-distance aircraft?

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Answer:

10.50

Step-by-step explanation:

The price of a ticket without a discount will be $10.50. The correct option is H.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that discounted tickets to the cinema cost $6.00 each. James spent $72.00 on discounted tickets, $54.00 less than he would have spent if he had bought tickets without the discount.

The price of the ticket will be calculated as below:-

Number of the tickets = 72 / 6 = 12

Total price without discount = 72 + 54 =126

Price of each ticket = 126 / 12 = 10.5

Therefore, the price of a ticket without a discount will be $10.50. The correct option is H.

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Answer:

1. 8

2. 6

3. 7

4.-8

Step-by-step explanation:

The equation 4cosecx−2cotx=−5 for 0≤x≤2π. state the maximum value of −3+12cosθ−54sinθ

​

Express f(θ)=2cosθ−9sinθ in the form of Rcos(θ+α), where R>0 and 0<α< 2

π

​. Hence, state the maximum value of −3+12cosθ−54sinθ1

​. Determine the values of θ in the interval 0≤θ≤2π where the maximum occurs. [11 marks] b) By using the substitution t=tan( 2

x

​), show 4cosecx−2cotx= t

3t 2

+1​

. Hence, solve the equation 4cosecx−2cotx=−5 for 0≤x≤2π

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The temperature of the turkey 45 minutes after being removed from the oven is approximately 138.6°F.

It will take approximately 2.32 hours (or 2 hours and 19 minutes) for the turkey to cool from 185°F to 100°F.

The rate at which the turkey cools can be modeled using Newton's Law of Cooling, which states that the rate of cooling of an object is proportional to the difference between its temperature and the temperature of its surroundings. Using this law, we can write:

dT/dt = -k(T - Ts)

where dT/dt is the rate of change of temperature with respect to time, k is a constant of proportionality, T is the temperature of the turkey at time t, and Ts is the temperature of the surroundings (75°F in this case).

Solving this differential equation gives:

T(t) = Ts + (T0 - Ts)e^(-kt)

where T0 is the initial temperature of the turkey (185°F in this case).

Using the fact that the temperature of the turkey is 145°F half an hour after being removed from the oven, we can solve for k:

145 = 75 + (185 - 75)e^(-k*0.5)

which gives k = 0.0736.

Using this value of k, we can solve for the temperature of the turkey at 45 minutes (or 0.75 hours) after being removed from the oven:

T(0.75) = 75 + (185 - 75)e^(-0.0736*0.75) = 138.6°F.

To find the time it takes for the turkey to cool from 185°F to 100°F, we can solve for t when T(t) = 100:

100 = 75 + (185 - 75)e^(-0.0736*t)

which gives t ≈ 2.32 hours.

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The diagonals AC and EC of the pentagon forms two right

triangles and on isosceles triangle, together which gives the

area of the pentagon.

Correct response:

The area of the convex polygon is found by the sum of the

areas of the three triangles that are formed by drawing two

diagonals facing the two 90° angles.

The given parameters are;

AB = 5

BC = 12

AE = 13

DE = 8

CD = 6

m∠B = m∠D = 90°

Required:

The area of the convex pentagon ABCDE

Solution:

The area of pentagon ABCDE = Right ΔABC + Right ΔCDE + ΔACE

Area of right triangle ΔABC = \(\frac{1}{2}\) × 5 × 12 = 30

Area of right triangle ΔCDE = \(\frac{1}{2}\) × 6 × 8 = 24

Length of AC = \(\mathbf{\sqrt{\overline{AB}^2 + \overline{BC}^2}}\)

Which gives; AC = \(\mathbf{\sqrt{5^2 + 12^2}}\) = 13

Length of EC = \(\mathbf{\sqrt{\overline{CD}^2+ \overline{DE}^2}}\)

Which gives; EC = \(\mathbf{\sqrt{6^2 + 8^2}}\) = 10

Therefore, ΔACE is an isosceles triangle

Base of ΔACE = EC

Therefore;

Height of isosceles triangle ΔACE = \(\mathbf{\sqrt{13^2 - 5^2}}\) = 12

Area of ΔACE = \(\mathbf{\frac{1}{2}}\) × 10 × 12 = 60

Therefore;

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Answer:

238

Step-by-step explanation:

Answer:

If you are looking for how far she walked each individual dog, then the answer is 412 yards.

Step-by-step explanation:

She walked 4,532 yards with 11 dogs. We have to split 4,532 into 11 groups. That is 4,532/11, which simplifies to 412.

Hope that helped!

She go 412 while she walked 11 dogs.

The unitary method is used to find the value of a single unit from a given multiple.

She walked 4,532 yards with 11 dogs.

We have to split 4,532 into 11 groups.

so, the distance she travelled is

= 4532/11

= 412

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Answer:

-39

Step-by-step explanation:

||u|| = sqrt(5² + (-12)²)

= sqrt(25 + 144)

= sqrt(169)

= 13

||cu|| = c ||u||

c = -3

c ||u|| = -3 × 13 = -39

Answer:

-39

Step-by-step explanation:

The magnitude of a vector is given by

|| u|| = sqrt( x^2 + y^2)

       = sqrt( 5^2 + (-12)^2)

       = sqrt(25+144)

      = sqrt(169)

     = 13

We are then multiplying by a scalar

||cu|| = -3*13 = -39

Answer:

MJ = 6.5

Step-by-step explanation:

Tangent lines to a circle are perpendicular to the radius.

tan 68° = JL/3

2.4751 = JL/3

JL = 7.4253

∠JLK = 90° - 68° = 22°

∠MLJ = 61° - 22° = 39°

sin 61° = MJ/7.4253

MJ = 7.4253(0.8746) =  6.5

The length of radius MJ is 5.99 units

Start by calculating the length JL using the following tangent ratio

tan(68°) = JL/3

Make JL the subject

JL = 3 * tan(68°)

Evaluate the product

JL = 7.4

From the figure, the measure of angle MLJ is:

∠MLJ = MLK - JLK

Where:

∠JLK = 90° - 68° = 22°

So, we have:

∠MLJ = 61 - 22

∠MLJ = 39

The radius MJ is then calculated using the following tangent ratio

tan(39) = MJ/JL

This gives

tan(39) = MJ/7.4

Make MJ the subject

MJ = 7.4 * tan(39)

Evaluate

MJ = 5.99

Hence, the length of radius MJ is 5.99 units

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7.1 The age that appears most frequently is 57, and it also appears twice. Therefore, the answer is (a) 57 and 43.

7.2  There are 15 ages, so the middle value(s) would be the median. In this case, there are two middle values: 56 and 57. Since there are two values, the median is the average of these two numbers, which is 56 + 57 = 113, divided by 2, resulting in 56.5.

Therefore, the answer is (c) 56.

7.3  The answer is (c) 57.47.

8. Given: a = 9 cm, b = 12 cm, and h = 7 cm. Substituting these values into the formula, we get (9 + 12) 7 / 2 = 21 7 / 2 = 147 / 2 = 73.5 cm².

Therefore, the answer is (a) 73.5 cm².

9. Let's denote the total mass of the 50 pumpkins as M. We know that the average mass of 50 pumpkins is 2.1 kg.

Therefore, the sum of the masses of the 50 pumpkins is 50 2.1 = 105 kg.

If three more pumpkins are added, the total number of pumpkins becomes 50 + 3 = 53. The average mass of these 53 pumpkins is 2.2 kg. The total mass of the 53 pumpkins is 53 2.2 = 116.6 kg.

Therefore, the answer is (b) 11.6 kg.

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Answer:

y=2

Step-by-step explanation:

Hey there!

The answer is y=2 because the x-axis is not defined (there's no value for it as the line didn't pass through it)

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Step-by-step explanation:

1.272

this is the answer

Answer:

1.272

Step-by-step explanation:

☺️☺️☺️☺️☺️☺️☺️

The measure of angle m is,

⇒ m = 43°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle PQR is shown in figure.

Now, We know that;

An exterior angle of a triangle is sum of two opposite angle of that triangle.

⇒ m + 68° = 111°

Solve for m;

⇒ m = 111° - 68°

⇒ m = 43°

Thus, The measure of angle m is,

⇒ m = 43°

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Answer:

A- Four hundred six thousand, seven hundred sixty-two

Hope this helps!

Answer:

A. Four hundred six thousand, seven hundred sixty-two

Step-by-step explanation:

Sound out the number before the comma first:

You would read it as four hundred six, not four hundred sixty (That would mean 460 and not 406.)

Sound out the number after the comma next:

You would read that as seven hundred sixty-two.

So combine them to say:

four hundred six thousand, seven hundred sixty-two. Choose A

Answer:

first tell how far does Mr. Gilbert drive???

Mr. Gilbert drives 8 miles. Ms. Adam drives 150% the distance.

Start by dividing the percent by 100 to find the multiple. 150/100 is 1.5. Now multiply 1.5 times 8 to find the distance travelled. 8 * 1.5 = 12. Another way to think of 1.5 is (1 x 8) + (.5 x 8) = (8 + 4) = 12

I hope this helps! :)

Answer:

Does the answer help you?

The situations described can be classified into both Descriptive and Inferential Statistics. Descriptive statistics is used when the research aims to describe and summarize data, such as describing the profile of customers or variables in a study. Inferential statistics, on the other hand, is employed when the research seeks to make inferences and draw conclusions about a larger population based on sample data.

In the first situation, where the goal is to describe the profile of customers of Kellogg Cereal Company, Descriptive Statistics is used to summarize and present information about the customers' characteristics. Similarly, in the second situation, Descriptive Statistics is employed to describe the variables in the study, helping researchers understand the distribution and properties of the variables.

In the third scenario, the focus is on presenting the satisfaction level of customers. Descriptive Statistics is used to summarize and present this information, providing an overview of customer satisfaction without making any inferences about a larger population.

In the fourth situation, the researcher aims to determine if certain variables can predict customer satisfaction. Here, Inferential Statistics comes into play as the researcher analyzes the data to establish a relationship between the predictor variables and customer satisfaction. Statistical tests and models are used to draw conclusions and make inferences about the population.

Lastly, in the fifth situation, the goal is to compare customer satisfaction between two groups: customers within the City of Montgomery and customers outside the state of Alabama. Inferential Statistics is employed to compare means between the groups and conduct hypothesis tests to determine if there is a significant difference. The aim is to make inferences about the larger population based on the sample data collected.

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Answer:

=9(y-3)

take 9 as a common factor then divide it by everyone 8nside

Answer:

Step-by-step explanation:

We have two congruent angles, so we need a pair of congruent sides. This is satisfied by options 2 and 3.