37 centimeters is the same as how many inches?

Shape would the resulting distribution have very symmetric distribution with a single peak was found to be the corrected long-jump distances in centimeters distribution's shape.

In common parlance, the term "symmetry" describes a sense of lovely proportion and balance. A more exact meaning of "symmetry" can be found in mathematics, where it typically refers to an object that is unaffected by certain transformations like translation, reflection, rotation, or scaling.

Given,

100 cm = 1 m

Xₙ = 557.3 cm

Divide each centimeter number by 100 to convert the corrected long jump distances from centimeters to meters.

A very symmetric distribution with a single peak was found to be the corrected long-jump distances in centimeters distribution's shape.

The distribution's structure is unaltered when each value in the data is divided by 100 since there are no changes to the relationships between any two pieces of data.

Since there is just one peak in this example, the corrected long-jump distances in meters distribution likewise has an almost symmetric form.

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Answer:

x⁹

Step-by-step explanation:

Step 1: Write out expression

x⁷/x⁻²

Step 2: Rewrite

x⁷(x²)

Step 3: Simplify

x⁹

Step-by-step explanation:

Simplify: x^7/x^-2

=> x^(7+2) [∵ a^m/a^n = a^(m-n)]

=> x^9

Hope this helps!!

The total area of both triangles is the product of the height and base of the flag.

The connecting of three noncolinear points results in a triangle, which is a three-sided closed-plane object. Triangles can be classified into three categories based on their side properties: equilateral, scalene, and isosceles.

Given, Anthony painted 2triangles of the same size on the top corners of his house flag for sports day.

We are aware of A parallelogram can be divided into two comparable triangles by dividing it along its diagonal.

A planar figure with opposite sides that are parallel and of equal length is called a parallelogram.

Since the area of a parallelogram is equal to its base times its height, the combined area of the two triangles will be the same.

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This is the same as writing y = sqrt(4(x+5)) - 1

===============================================

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

----------

Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

----------

Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

----------

The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.

Please find attached the graph of the residual plot for the data created with MS Excel

A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.

The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158

The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;

Area (in²)    \({}\)              Residuals

x-value

5 \({}\)                             -1.0178

10 \({}\)                           -0.2718

24 \({}\)                           0.605

46 \({}\)                           0.7874

53 \({}\)                           0.7018

78 \({}\)                           0.0758

84 \({}\)                           -0.129

100 \({}\)                         -0.7538

The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option

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Answer:

hi kermit

Step-by-step explanation:

the answer is 4 to 10 its a 50 50 chance of wrong or right

Answer:

b

Step-by-step explanation:

I'm going with my gut along with what the image shows me.

Answer:

B

Step-by-step explanation:

Standard deviation is the average distance away from the mean, thus B is correct

Answer:

180° - 62° = 118°          118° ÷ 2 = 59°

This is the measure of each of the two base angles.

Step-by-step explanation:

Each face of a given pyramid is an isosceles triangle, with a 62° vertex angle.

Recall that an isosceles triangle has only 1 vertex angle.

- An isosceles triangle is one with 2 equal sides. Recall the Base Angle Theorem which states that in an isosceles triangle, the congruent sides have or produce congruent angles. This results in 2 equal base angles, in the regular case.

- The third angle is the vertex angle.

- To derive base angles from a vertex angle, subtract the value of the vertex angle from 180°. Divide the answer you get by 2. This is the value of each base angle.

- Remember also; the sum of all angles in a triangle must = 180°

180° - 62° = 118°          118° ÷ 2 = 59°

This is the measure of each of the two base angles.

a) The measure of vertical angles are the same, they are congruent angles.

b) This occurs because if you choose one of the four angles, the two adjacent angles to this angle will be supplementary to the first angle, so they need to have the same measure.

For example, if angle GEF is equal 120°, the angle FEM is supplementary to GEF, and the angle GEH is also supplementary to GEF, and the supplementary angle can only have one value, therefore the angles FEM and GEH are congruent.

Answer:

10 + 10 + 10 = 10 x 3

                   = 30

Thus, (x+3.2)2+(y+2.1)2=18.49 ( x + 3.2 ) 2 + ( y + 2.1 ) 2 = 18.49 is the equation of the circle with the center at (−3.2,−2.1) and a radius of r=4.3 .

When the centre and radius of a circle are known, how do you determine its equation?

Use the formula (x a) 2 + (y b) 2 = r 2 to determine a circle's equation when you are aware of its radius and centre. Here, stands for the circle's centre, and is its radius. This equation is essentially a variant way of writing the general equation for a circle.

(x - h)2+ (y - k)2 = r2 is the formula for the equation of a circle, where (h, k) stands for the circle's center's coordinates and r for the radius.

We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius.

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Answer:

4

Step-by-step explanation:

A mode is the number having the highest frequency, that is, the number which occurs the most times. (The number which occurs the most here is 4, there are two 4s. You only have one of the rest of the numbers.)

Something can be described as a function if there is only 1 of each number in the input or x.

For example: (9,6) and (9,3) would not be a function because there are two 9’s as the input.

So, for this problem there are two 3’s meaning this is NOT function because there are two outputs for the same number.

Your answer is going to be D.

Answer:

x intercept: (-8,0)

y intercept: (0,2)

Population growth exerts pressure on the food supply, requiring sustainable agricultural practices to meet increasing demands.

The relationship between population growth and food supply is closely linked. As the population grows, the demand for food increases. This places pressure on the food supply to keep up with the rising demand.

Adequate food production, distribution, and access become crucial in meeting the nutritional needs of a growing population. Insufficient food supply relative to population growth can result in food scarcity, hunger, and malnutrition.

On the other hand, advancements in agricultural practices and technologies can enhance food production and improve the food supply. Efficient farming techniques, technological innovations, and sustainable agricultural systems play a vital role in increasing food availability.

It is essential to maintain a balance between population growth and the capacity of the food system to ensure food security and address the nutritional needs of a growing population.

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Answer:

12.7  ==> distance of RS

24.2 ==> distance of RT

Step-by-step explanation:

Distance is always positive. So if you get a negative value, take the absolute value of the negative number:

For example, between point R and S:

-17.2 - (-4.5) =

-17.2 + 4.5 =  ==> subtracting a negative number is equivalent to adding a

                           positive number

-(17.2 - 4.5) = -12.7

-12.7 ==> |-12.7| = 12.7  ==> distance of RS

For RT:

-17.2 - 7 =

-(17.2 + 7) = -24.2

-24.2 ==> |-24.2| = 24.2 ==> distance of RT

\(2x + 5 = - x + ( - 1)\)

\(2x + 5 = - x - 1\)

Add both sides x

\(2x + 5 + x = - x - 1 + x\)

\(3x + 5 = - 1\)

Subtract both sides 5

\(3x + 5 - 5 = - 1 - 5\)

\(3x = - 6\)

Divide both sides by 3

\( \frac{3x}{3} = \frac{ - 6}{3} \\ \)

\(x = - 2\)

______________________________

As u can see the first step is to :

Add one positive x-tile to both sides

Answer:

Add one positive x-tile to both sides

Step-by-step explanation:

edge

Answer:

I do not have access to Annexure A and Annexure B, so I cannot collect the data, draw the frequency table or pie chart, or answer the last question. However, I can provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.

To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:

25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22

The sum of the values is:

25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813

Dividing by the number of values (30), we get:

Mean = 813/30 = 27.1

To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.

To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:

20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34

There are 30 values, so the median is the 15th value, which is 28.

To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:

Range = 34 - 20 = 14

To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:

20-24, 25-29, 30-34

The frequency table would look like this:

Interval | Frequency

20-24 | 4

25-29 | 18

30-34 | 8

To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:

Proportion = Frequency/Total frequency = 18/30 = 0.6

Angle = Proportion * 360° = 0.6 * 360° = 216°

We can repeat this calculation for each interval to obtain the angles for the pie chart.

In terms of the last question, it is not clear what is meant by "which data collection best describe the maximum and why?". If you could provide more context or clarification, I would be happy to try to help.

Step-by-step explanation:

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

So the smallest angle is <P.

Hope it may help :)

Weight is in Olivia's backpack is 5/6 pound.

As in the given problem olivia's  history book weights 1/2 of a pound and

her lunch weighs 2/3 of a pound.

As both the units are same,

Thus total weight must be summation of both history book and her lunch  box.

total weight is =1/2 +2/3 pound

= (3+2)/6

that is equal to 5/6 pound.

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Answer:

$89.93

Step-by-step explanation:

Set up an equation:

Variable x = original price

40/100 = 35.97/x

Cross multiply

40 × x = 100 × 35.97

40x = 3597

Divide both sides by 40

x = 89.925

Round to the nearest cent:

5 rounds up so:

89.93

Check your work (use the original number instead of the rounded number to be more exact):

89.925 × 40%

Convert the percentage into a decimal to multiply:

89.925 × 0.40

35.97

Correct!

Answer:

P=0.071429

Step-by-step explanation:

1) if the first member of team needed is already choosen and this is a girl, then the rest members are 4 boys and 4 girls. The rest 3 positions should be choosen from that 8 persons;

2) according to the condition 3 boys should be choosen from the rest team members, but there are 4 boys+4girls. The required probability can be written as

\(P=\frac{C^3_4}{C^3_8};\)

3) finally,

\(P=\frac{C^3_4}{C_8^3}=\frac{4*3!*5!}{8!}=\frac{1}{14}=0.07142857142857142857142857142857;\)

⇔ P=0.071429.

P.S. if it is possible, check the suggested solution in other sources.

Given statement solution is :- The manager will have enough funds, and the amount set aside ($10,000) is sufficient to cover the payroll for the next four weeks.

To determine if the manager will have enough funds to cover the nightly payroll for the next four weeks, we need to calculate the total cost for four weeks and compare it to the amount set aside.

The nightly payroll has a mean of $2200 and a standard deviation of $300. Since there are seven nights in a week, the weekly payroll can be calculated as:

Weekly Payroll = Nightly Payroll * Number of Nights in a Week

= $2200 * 7

= $15,400

To calculate the total cost for four weeks, we multiply the weekly payroll by four:

Total Cost for Four Weeks = Weekly Payroll * Number of Weeks

= $15,400 * 4

= $61,600

Now, let's calculate the z-score using the formula:

z = (X - μ) / σ

Where:

X = Total Cost for Four Weeks

μ = Mean of the distribution

σ = Standard deviation of the distribution

z = ($61,600 - $2200) / $300

z = $59,400 / $300

z ≈ 198

To determine if the manager will have enough funds to cover the payroll, we need to find the proportion of the distribution that is less than or equal to the z-score. This can be done by consulting a standard normal distribution table or using statistical software.

For a z-score of 198, the proportion in the tail of the distribution is essentially 1 (or 100%). This means that the manager is virtually guaranteed to have enough funds to cover the payroll for the next four weeks.

Since the manager has set aside $10,000, which is less than the calculated total cost of $61,600, he will indeed have enough funds to cover the payroll.

Therefore, the manager will have enough funds, and the amount set aside ($10,000) is sufficient to cover the payroll for the next four weeks.

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Answer:

Step-by-step explanation:

1) y  = 3x + 1

When x = -1 ,   y = 3*(-1) + 1              

                          = -3 + 1

                        y = -2

(-1 , -2)

When x = 0 ,  y = 3*0 + 1

                      y = 1

(0 , 1)

When x = +1 , y = 3*1 + 1

                          = 3 + 1

                       y = 4

(1 , 4 )

Plot these points in the graph and join the points.

2) y = 2x -1

When x = -1 ,         y = 2*(-1) - 1

                                = - 2 - 1

                             y = -3

(-1 , -3)

When x = 0,      y = 2*0 - 1

                        y = -1

(0 , -1)

When x = +1 , y = 2*1 -1

                         = 2 - 1

                       y = 1

(1 , 1)

Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

Answer:

57.75

Step-by-step explanation:

45% of $105 is 47.25

105 -47.25

57.75

Step-by-step explanation:

45  %OFF means you pay  55 % of original price

55%  of  $105?

.55  x   $ 105 = $ 57.75

Answer:

-22/5

Step-by-step explanation:

-4 x 5 + 22. Denominator stays the same.

\(\huge\text{Hey there!}\)

\(\huge\textbf{The formula for converting a mixed}\\\huge\textbf{fraction to improper fraction is:}\)

\(\mathbf{Original\ equation: a \dfrac{b}{c}}\)

\(\mathbf{Convert\ to: \dfrac{a\times c + b}{c}}\)

\(\mathbf{Simplifying\ it: \dfrac{ac + b}{c}}\)

\(\mathbf{Results\ to: \dfrac{acb}{c}}\)

\(\huge\textbf{Now that we have a(n) easier way}\\\huge\textbf{into solving for the given equation.}\)

\(\huge\textbf{Let's begin now!}\)

\(\mathbf{-4 \dfrac{2}{5}}\)

\(\mathbf{= \dfrac{-4\times5 + 2}{5}}\)

\(\mathbf{= \dfrac{-20 + 2}{5}}\)

\(\mathbf{= \dfrac{-20 - 2}{5}}\)

\(\mathbf{= \dfrac{-22}{5}}\)

\(\mathbf{= -\dfrac{22}{5}}\)

\(\huge\textbf{Found the result to the equation}\huge\boxed{\bf\downarrow}\)

\(\huge\text{Thus, your answer should be: \boxed{\mathsf{Option\ C. \ -\dfrac{22}{5}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The expressions are evaluated to 7 and -6

Algebraic expressions are mathematical expressions comprising of terms, coefficients, variables, constants and factors.

These expressions are also comprised of mathematical or arithmetic operations. These operations are;

From the information given, we have that;

a. -4d + 3

b. k - m

Given that d= ,-1. k = 4 and m = -10

Now, substitute the values, we get;

a.-4(-1) + 3

expand the bracket

4 + 3 = 7

b. k - m

4 - 10

-6

Thus the values are 7 and -6

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