8. Find the standard deviation, to one decimal place, of the test marks tabulated below. 41-50 51-60 61-70 71-80 81-90 Mark Frequency 5 0 10 8 2

The circumference of circle M is 2cm, the correct option is (D) 2 cm.

If circle M is dilated by a scale factor of 3 to obtain circle N, we can determine the circumference of circle M by dividing the circumference of circle N by the scale factor.

The scale factor of 3 means that every linear dimension (such as radius or diameter) in circle N is three times larger than the corresponding dimension in circle M. Since the circumference is directly proportional to the radius or diameter of a circle, we can conclude that the circumference of circle N is three times the circumference of circle M.

Given that the circumference of circle N is 6 cm, we can divide this value by 3 to find the circumference of circle M:

Circumference of circle M = Circumference of circle N / Scale factor

Circumference of circle M = 6 cm / 3

Circumference of circle M = 2 cm

Therefore, the correct answer is:

D. 2 cm

The circumference of circle M is 2 cm.

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For the answer of factors of expression (12 + 54), in the form of a(b + c), where a is the GCF of 12 and 54 is equals to 6( 2 + 9).

In math, to factor a number means to express it as a product of (other) whole numbers, called its factors. For example, if 7x5 = 35, 7 and 5 are both factors. The divisors that give the remainder to be 0 are the factors of the number. We have an expression of numbers, 12 + 54. We have to write this expression in form of a( b + c), where a is GCF of 12 and 54. Now, we can write the factors of 12 and 54 are 12 = 2×2×3

54 = 2×3 ×3×3

The greatest common factor, GCF of 12 and 54 is 2×3 = 6. So, 12 + 54 = 6× 2 + 6×9

Taking out the common factor 6 from above expression, 6( 2 + 9) which is required form a( b + c). Hence, required expression is 6( 2 + 9).

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The simplest form of the given multiplication 7 1/2x2/3 = 5.

The given multiplication is;

7 1/2x2/3

Where, 7 1/2 is in the mixed fraction, convert it in simple fraction.

7 1/2 = (7×2 + 1)/2

7 1/2 = 15/2

Now, put the value in multiplication and find.

= 15/2 × 2/3

Multiply the numerators and denominators of each digit

= 30/6

Divide each digit by 6

= 5

Thus, the simplest form of the digit 7 1/2x2/3 after multiplication is found 15.

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This equation x + (x + 1) + (x + 2) = negative 21 will be used.

Let the first Number is x.

We have to take 3 consecutive integers.

second Number is x+1

third Number is x+2.

Sum of these 3 consecutive integers is x+(x+1)+(x+2).

Sum of these 3 consecutive integers is given as negative21.

so we can write  x+(x+1)+(x+2)=negative 21.

by using above equation we can find the value of 3 numbers.

So the final equation will be x + (x + 1) + (x + 2) = negative 21.

Given Question is incomplete, Complete Question here:

Three consecutive integers have a sum of –21. Which equation can be used to find the value of the three numbers? x + x + x = negative 21 x + 2 x + 3 x = negative 21 x + (x + 1) + (x + 2) = negative 21 x + (x + 2) + (x + 4) = negative 21

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Answer:

125°

Step-by-step explanation:

125° and d° are vertically opposite angles. Vertically opposite angles are equal

To find the consumer's and producer's surplus, we need more information about the demand and supply functions or the market equilibrium.

You provided the demand function D(x) = 25, but we require additional details to proceed with the calculations. The consumer's surplus is the difference between the maximum price consumers are willing to pay and the price they actually pay. It represents the benefit or surplus gained by consumers in a market transaction.

The producer's surplus is the difference between the minimum price producers are willing to accept and the price they actually receive. It represents the benefit or surplus gained by producers in a market transaction.

To calculate these surpluses, we typically need information about the supply function, equilibrium price, and equilibrium quantity. These values help determine the areas of the consumer's and producer's surpluses on the supply-demand graph.

Please provide the necessary information about the supply function, equilibrium price, or any other relevant details so that I can assist you in calculating the consumer's and producer's surplus accurately.

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Answer:

c

Step-by-step explanation:

Answer:

x = 23

Step-by-step explanation:

Step 1: Write out equation

(58 - x) - (x) = 12

Step 2: Distribute negative

58 - x - x = 12

Step 3: Combine like terms

58 - 2x = 12

Step 4: Subtract 58 on both sides

-2x = -46

Step 5: Isolate x (divide both sides by -2)

x = 23

Answer:1/6

Step-by-step explanation:

The fraction of 1/6 will be equal to the percentage of 16.6%.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.

Let's suppose that fraction will be 1/x

Now the percentage of any fraction is multiplied by 100

For example percentage of 1/3 will be (1/3)100 = 33.33%

So,

A percentage of 1/x will be

(1/x)100 = 16.66

x = 100 - 16.66

x = 6.0024 ≈ 6

So, the fraction will be 1/6.

Hence "The fraction of 1/6 will be equal to the percentage of 16.6%".

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Distance between two coordinates:

Given point: b) (10, -5) and ( -6, 7)

Substitute the value in the expression of distance formula

The distance between coordinates (10,-5) & (-6,7) is 20 unit

Answer:

What a question

Step-by-step explanation:

I speak Thai but doubt I can teach you

Answer:

5783 and 8/3

Step-by-step explanation:

65 x 89 - 9 + 7 then simplify and came up with 5783. and for the main question the answer is 8/3.and I only know little bit about Spanish only sorry here is all that I know about Spanish Uno is one in Spanish Dos is two on Spanish Tres is three in Spanish Cuatro is four in Spanish Cinco is five in Spanish Seis is six in Spanish Siete is seven in Spanish Ocho is eight in Spanish Nueve is nine in Spanish Diez is ten in Spanish and also Hola is hi and hello in Spanish and last but not least Amigos is friends in Spanish. oh in Thai hello is Sawadee.

Answer:

J

Step-by-step explanation:

Points M and N will be located on the number line as:

M is at -15

N is at 3.

Here, we have,

to Find the Coordinate of a Point on a Number Line:

The number line gives us an idea of how real numbers are ordered, where we have the negative numbers to the left, and the positive numbers to the right.

The distance between two points on a number line is the number of units between both points.

Given that point L is at -6 on a number line, thus:

Point M is 9 units away from point L = -6 - 9 = -15

Point N is 9 units away from point L = -6 + 9 = 3

Therefore, points M and N will be located on the number line as:

M is at -15

N is at 3.

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Since the revenue of $10,777 exceeds the total cost of $9,586, so there is a profit of  $1,191

To determine if there is a profit or loss, we need to consider the revenue, fixed costs, and variable costs. Revenue is the total income generated from sales. Fixed costs are expenses that do not change with the level of production or sales, such as rent, salaries, and insurance. Variable costs, on the other hand, are expenses that vary with the level of production or sales, such as raw materials and commissions.

To determine if there is a profit or loss, we need to calculate the total cost and subtract it from the revenue.

Total cost = Fixed cost + Variable cost

Total cost = $8,041 + $1,545 = $9,586

Profit/Loss = Revenue - Total Cost

Profit/Loss = $10,777 - $9,586 = $1,191

Since the result is positive, there is a profit of $1,191.

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Answer:

a ) mean = 1.8

b ) new mean = 11.8

c ) new mean = 23.6

hope this helps

Answer:

.37

Step-by-step explanation:

5/8 as a decimal is 0.625

Answer:

5/8 or 0.625

Step-by-step explanation:

This is because 0.625 is greater than .37

Answer:

3.7

Step-by-step explanation:

super ez

Answer: y=3

Step-by-step explanation:

9-y=2y

9=3y

3=y

Answer:

y=3

Step-by-step explanation:

9-y=2y

+y +y

9=3y

÷3 ÷3

3=y

Answer:

a

Step-by-step explanation:

jefioweodke = f0eoddjeoe  -2fkoforkg f = A

Answer: (1, 0) or 1

Step-by-step explanation:

Since it is parallel to y=2x-7 that means it has the same slope but a different y-intercept. Let's use b for the unknown value

6=2(4)+b

6=8+b

6-8=8+b-8

-2=b

Now we know the equation for the line is y=2x-2

Since we are looking for the x-intercept y will be 0 and we can sub that in to solve

\(0=2x-2\\0+2=2x-2+2\\2=2x\\\frac{2}{2} =\frac{2x}{2} \\1=x\)

The x-intercept is 1

The probability that a random sample of 12 second grade students results in a mean reading rate of more than 95 words per minute is 0.4582.

Given that the population mean, \(\mu\) = 90 wpm

The standard deviation of the population ,\(\sigma\) = 10

Sample size, n = 12

Sample mean, \(\bar x\) = 95

The reading rate of students follows the normal distribution.

Let z = \(\frac{\bar x - \mu}{\frac{\sigma}{\sqrt n} }\)

        = \(\frac{95 - 90}{\frac{10}{\sqrt 12} }\)

        = 1.732

Probability that the mean reading exceeds 95 wpm = P(\(\bar x\) >95)

                                                                                       = P(z>1.732)

                                                                                       = 1- P(z<1.732)

                                                                                       = 0.4582

[The value 0.4582 found from the area under the normal curve using tables].

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The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C

The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.

This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.

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While a data set consisting only of anomalous objects is possible, it would be an abuse of the terminology since it would not reflect the expected or normal behavior of the system.

It's possible for a dataset to consist only of anomalous objects if the dataset has been specifically curated to include dissimilar documents, as you've described. In this context, the term "anomalous" refers to documents that are not highly related, connected, or similar to one another.

However, it's important to note that this might be an unusual case or an atypical use of the term "anomalous," as anomalies generally refer to rare or unexpected occurrences within a larger, more homogeneous dataset.

In your described scenario, the selected documents might be more accurately referred to as "diverse" or "dissimilar" rather than strictly "anomalous."

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Answer:

850 miles

Step-by-step explanation:

  Distance = r * t

Going:

     d = 50 * x = 50x

Returning:

      d = 55*(32 - x)

        = 55*32 - 55*x

        = 1760 - 55x

As the distance covered is same,

   50x = 1760 - 55x

50x + 55x = 1760

    105x = 1760

           x = 1760 ÷ 105

          x = 17 hours

       d = 17 * 50

           = 17*50

           = 850 miles

Given that the ordered pair makes the function and these pairs are

[ (2,5), (7,1), (5,9), (8,0), ( , ) ]

Since the function is the one that has the input having only one output.

Hence, the given options (3,4) is correct.

Therefore the ( 3, 4 ) is the pair.

The value of the expression are;

1. 80

2. -5

3. 5

4. -5

It is important to note the rules of PEDMAS.

One must not go over the other in an expression.

PEDMAS is a mathematical acronym representing operations, They are;

From the information given, we have that;

(-20) · (-4)

Multiply the values

80

-20/4

Divide the values

-5

-20/-4 = 5

20/-4 = -5

Hence, the values are actualized by division

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Answer:

64 × pi m²

Step-by-step explanation:

the formulas needed for the surface area of a cone are :

base area plus the "mantle", the lateral "wall" around it.

the base area is a circle.

so, that formula is Ac = pi×r²

the "wall" formula is Aw = pi×r×s

r = radius

s = slant height = 12

the formula for the surface area of a sphere is

As = 4×pi×r²

we know now, that both surface areas are the same, and also the radius is the same for both objects.

Ac + Aw = As

pi×r² + 12×pi×r = 4×pi×r²

=>

12×pi×r = 3×pi×r²

12×pi = 3×pi×r

12 = 3×r

r = 4 m

now, we only need to use this value of r in our formulas for surface areas, like for the sphere :

4×pi×r² = 4×pi×4² = 4³×pi = 64×pi

Based on the information provided, it appears that Sammi did not make any mistakes in creating the tally chart. The information appears to be correctly recorded and organized.

To create a dot plot, Sammi would simply plot a dot above the appropriate number on the number line for each entry in the "hours" column and mark it the number of times specified in the corresponding entry in the "tally" column.

The answer was determined based on the information provided in the question, which was a 2-column table with 4 rows. The first column was labeled "hours" and had entries of 3, 4, 5, 6. The second column was labeled "tally" and had entries of 4, 6, 3, 5.

Given this information, it can be concluded that Sammi correctly recorded the hours and their respective tallies. Therefore, there is no mistake in the creation of the tally chart.

It is important to note that the question only asks about the creation of the tally chart and not the creation of the dot plot, so the answer is based solely on the information provided in the question and not any assumed knowledge or steps in creating a dot plot.

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Answer:

960

Step-by-step explanation:

(10 + 2) = 12

"10 times 8 times 12 times 1"

what does 10 times 8 times 12 times 1 mean

10  *   8   *  12  * 1 = (10)(8)(12)(1)

                            =   (80) * 12

                            =   960

The steepest angle at which unconsolidated granular material remains stable is known as the angle of repose.

The steepest angle at which unconsolidated granular material remains stable is known as the angle of repose. This angle varies depending on the properties of the granular material such as size, shape, and degree of consolidation. The angle of repose is a critical factor in many fields such as engineering, geology, and agriculture. For example, in civil engineering, the angle of repose is essential in designing stable slopes and retaining walls. In agriculture, it is crucial for understanding the flow and distribution of granular materials such as seeds, fertilizers, and grains. In general, the angle of repose for unconsolidated granular materials ranges from 25 to 45 degrees, but it can be higher for certain materials such as sand, or smaller for cohesive soils.
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