Apply the distributive property to factor out the greatest common factor.
9+15=

Answer: its B) test statistic

Step-by-step explanation:

To convert 21.73 m to customary units, we need to use the conversion factors as follows:

meter = 39.37 inches1

inch = 2.54

cm1 foot

= 12 inches

We have:

21.7.

3 m

= 21.73 x 39.37 inches (since 1 mete

r = 39.37 inches)

= 856.301 inches

= 71 feet 4.3 inches (since 1 foot = 12 inches)

The smallest tick mark on

1" = 1' 0"

architect’s scale is 1/16 inch.

This means that there are 16 tick marks in an inch. A fractional ruler was used for scale measurements of a line on the 1/4" = 1'-0" scale. The two ends of the line correspond to 6 2.7/4" and 9 6/8". To get the length of the line in inches, we need to convert the two ends to inches, then subtract them to get the length as follows:

\(6 2.7/4" \\= 6 x 12 + 2.7\\ = 74.7"  (since 1 foot\\ = 12 inches)\\9 6/8" = 9 x 12 + 6 \\= 114" (since 1 foo\\t = 12 inches)\)

Length of the line = 114 - 74.7 = 39.3 inches (rounded off to one decimal place)

Multiplying 3/5 by

\(17/13\\ gives:\\3/5 x 17/13\\= (3 x 17)/(5 x 13)\\= 51/65\)

This is already in its lowest form.

Therefore, the answer is:51/65 (an improper fraction)

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Answer:

c

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

, each 5-pound bag of flour contains about 16 and 2/3 cups of flour.

To find out how many cups are in each 5-pound bag of flour, we need to first figure out how many cups are in 1 pound of flour.

We know that 1 cup of flour weighs about 3/10 pounds. So, to find out how many cups are in 1 pound, we can divide 1 by 3/10:

1 ÷ (3/10) = 10/3 or 3.33 cups

Therefore, there are approximately 3.33 cups of flour in 1 pound.

Now, to find out how many cups are in a 5-pound bag of flour, we can multiply 3.33 by 5:

3.33 x 5 = 16.65 or about 16 and 2/3 cups

So, each 5-pound bag of flour contains about 16 and 2/3 cups of flour.

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There are 50/3 cups of flour in each 5-pound bag of flour Joanna buys. This is approximately 16.67 cups.

To find out how many cups are in each 5-pound bag of flour Joanna buys, we need to divide the weight of the flour

bag by the weight of one cup of flour.

The weight of one bag of flour: 5 pounds

The weight of one cup of flour: 3/10 pound

Divide the weight of the flour bag by the weight of one cup of flour:

5 pounds ÷ (3/10 pound)

To divide by a fraction, we can multiply by its reciprocal.

The reciprocal of 3/10 is 10/3. So, multiply 5 by 10/3:

5 × (10/3)

Multiply the numerators (5 and 10) and the denominators (1 and 3):

(5 × 10) / (1 × 3) = 50 / 3

So, there are 50/3 cups of flour in each 5-pound bag of flour Joanna buys. This is approximately 16.67 cups.

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The name of the segment inside the large triangle is called the: 3. angle bisector.

The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.

The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.

A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.

Therefore, we can state that the name of the segment is: 3. angle bisector.

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Answer:

C

Step-by-step explanation:

A line perpendicular to the y-axis is a horizontal line

  Horizontal lines have  slope = 0

       answer C    y = 3   slope = 0

False. The complement of an event A, denoted by A', is the event consisting of all outcomes in the sample space S that are not in A.

In probability theory, a sample space S represents the set of all possible outcomes of an experiment or random phenomenon. An event A is a subset of the sample space S, representing a specific outcome or a combination of outcomes of interest.

The complement of event A, denoted by A', includes all the outcomes in the sample space S that are not part of event A. In other words, A' consists of all outcomes that do not satisfy the conditions for event A to occur.

For example, let's consider rolling a fair six-sided die. The sample space S consists of the numbers {1, 2, 3, 4, 5, 6}. Now, let event A be the event of rolling an odd number. In this case, A = {1, 3, 5}, and the complement of A, denoted by A', would be A' = {2, 4, 6}. A' includes all the outcomes that are not odd numbers.

It's important to note that the complement of an event A and the event itself together cover the entire sample space S. In other words, A and A' are mutually exclusive and exhaustive, meaning that any outcome must either be in A or in A'.

So, in summary, the complement of an event A is the set of all outcomes in the sample space S that do not belong to A.

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Answer:

10:30

Step-by-step explanation:

If 11:20-20 = 30 minutes= 11:00 then 11:00-30=10:30

To check,

10:30+50 = 10:80 ( 1 Hour = 60 Minutes)

80-60=20

so

11:20

Therefore they start play chess at 10:30

Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000

Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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Answer:

Step-by-step explanation:

that is incorrect.

if it were to be equal, one side should equal each other when multiplied to make the ratio equal.

20-5x=40-10x (when multiplied by 2 on each side)

It CANNOT equal 50, if it were there would not be -10x

20-5x=100-25x

DIVIDE BY 2 to get 50 WOULD GIVE:

20-5x=50-17.5x

Answer:

Yes

Step-by-step explanation:

solve the equation for x , then evaluate and compare both sides

20 - 5x = 50 - 10x ( add 10x to both sides )

20 + 5x = 50 ( subtract 20 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

then

left side = 20 - 5x = 20 - 5(6) = 20 - 30 = - 10

right side = 50 - 10x = 50 - 10(6) = 50 - 60 = - 10

since both sides are equal then

20 - 5x = 50 - 10x is true

The slope of the of the equation of lines x - 2y = -1/2 and -4x - 8y = 2 are 1/2 and -1/2 respectively.

The slope intercept form is expressed as;

y = mx + b

Where m is slope and b is the y-intercept.

Given the equations in the equation;

Find the slope of the first equation.

x - 2y = -1/2

To find the slope of the line represented by the equation x - 2y = -1/2, we rewrite the equation in slope-intercept form.

x - 2y = -1/2

Multiply each term by -1

-x + 2y = 1/2

Make 2y the subject of formula

2y = x + 1/2

Divide each term by 2

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

Hence, in this form, the slope m is 1/2.

Find the slope of the second equation.

-4x - 8y = 2

Multiply each term by -1

4x + 8y = -2

Make 8y the subject of formula

8y = -4x - 2

Divide each term by 8

y = (-1/2)x - 1/4

Hence, in this form, the slope m is -1/2.

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Divide the number of micrometers by 10,000 to get the equivalent number of centimeters.

To convert micrometers to centimeters, you need to use the conversion factor between the two units. There are 10,000 micrometers in a centimeter.

Here are the steps to convert micrometers to centimeters:

1. Start with the number of micrometers you want to convert.
2. Divide the number of micrometers by 10,000 to get the equivalent number of centimeters.
3. The result is the number of centimeters equivalent to the given number of micrometers.

For example, if you want to convert 50,000 micrometers to centimeters, you would divide 50,000 by 10,000 to get 5 centimeters.

So, the conversion formula is:

centimeters = micrometers ÷ 10,000

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Answer:

\(\dfrac{15}{6}\)

Step-by-step explanation:

3 can be represented as \(\dfrac{3}{1}\) because any number divided by 1 is itself.

Therefore,

\(\dfrac{5}{6} \times 3\)

can be written as:

\(\dfrac{5}{6} \times \dfrac{3}{1}\)

To multiply these fractions, simply multiply their numerators and their denominators.

\(\dfrac{5 \times 3}{6 \times 1}\)

\(\dfrac{15}{6}\)

The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius is given as,

r = 36 / 2

r = 18 inches

The area of the circle is given as,

A = π x (18)²

A = 3.14 x 324

A = 1,017.36 square inches

The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

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The complete question is given below.

A circle is cut from a square piece of cloth, as shown:

A square, one side labeled as 36 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.

How many square inches of cloth is cut from the square?

(π = 3.14)

1,017.36 in2

1,489.24 in2

1,182.96 in2

1,276.00 in2

Answer:

x = 1/5 ,  and   x = - 1/5

Step-by-step explanation:

25x² – 1 = 0

5²x² - 1² = 0

(5x - 1)(5x + 1) = 0

5x -1 = 0,  5x + 1 = 0

x = 1/5 ,     x = - 1/5

There are 60 seconds in a minute and 60 minutes in an hour. To find the total number of instructions the computer can perform in an hour, we need to multiply the number of instructions per second by the number of seconds in an hour.

Number of seconds in an hour = 60 seconds/minute × 60 minutes/hour = 3600 seconds/hour

Total number of instructions per hour = instructions per second × seconds per hour

= 4.66 × 10^8 instructions/second × 3600 seconds/hour

= 1.6776 × 10^12 instructions/hour

Therefore, the computer can perform 1.6776 x 10^12 instructions per hour.

Answer:

Plots that can detect violations in regression assumptions, while response plots help analyse the relationship between the response variable and predictors are Residual plots and scatterplot matrix.

Step-by-step explanation:

There are several graphical plots commonly used to detect violations of regression model assumptions and analyze estimated regression models. Here are a few examples:

Residual plot: A residual plot shows the difference between the observed values of the response variable and the predicted values from the regression model. Patterns in the residuals, such as nonlinearity, heteroscedasticity (unequal variances), or outliers, can indicate violations of assumptions.

Response plot: This plot examines the relationship between the response variable and one of the predictor variables while holding other predictors constant. It helps identify nonlinearity or other issues in the relationship between the response and predictors.

Scatterplot matrix: A scatterplot matrix displays scatterplots between pairs of predictor variables. It can help detect issues like perfect multicollinearity, which occurs when two or more predictors are highly correlated, leading to problems in estimating the regression coefficients.

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The variance of  is approximately 1.6361 (rounded up to fourth decimal place).

To find the variance of , we need to first calculate its expected value or mean, E(). We can do this by using the formula:

E() = Σ xi pi

where xi is the number of courses and pi is the probability of taking xi courses.

E() = (1)(0.02) + (2)(0.01) + (3)(0.20) + (4)(0.17) + (5)(0.39) + (6)(0.20) + (7)(0.01) = 4.31

So the expected value of  is 4.31.

Next, we need to calculate the variance of . We can use the formula:

Var() = E[( - E())^2]

where E() is the expected value of , as calculated above.

Var() = (1-4.31)^2(0.02) + (2-4.31)^2(0.01) + (3-4.31)^2(0.20) + (4-4.31)^2(0.17) + (5-4.31)^2(0.39) + (6-4.31)^2(0.20) + (7-4.31)^2(0.01)

Var() = 1.6361

Therefore, the variance of  is approximately 1.6361 (rounded up to fourth decimal place).

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Step-by-step explanation:

1.) Combine multiplied terms into a single fraction

−1/2

Answer:

\(p = 19.18\)

Step-by-step explanation:

This question is illustrated using the attachment and will be solved using cosine formula

\(a^2 = b^2 + c^2 - 2bcCosA\)

Let the strawberry side be s, the Green beans be b and the pumpkins be p.

The cosine formula in this case is:

\(g^2 = s^2 + p^2 - 2spCosG\)

Where

\(s = 10\)

\(g = 18\)

\(<G =68\)

The equation becomes

\(18^2 = 10^2 + p^2 - 2 * 10 * p * Cos\ 68\)

\(324 = 100 + p^2 - 20 * p * 0.375\)

\(324 = 100 + p^2 - 7.5p\)

Collect Like Terms

\(p^2 - 7.5p + 100 - 324 = 0\)

\(p^2 - 7.5p - 224 = 0\)

Using quadratic formula:

\(p = \frac{-b\±\sqrt{b^2-4ac}}{2a}\)

Where

\(a = 1\)

\(b = -7.5\)

\(c = -224\)

\(p = \frac{-(-7.5)\±\sqrt{(-7.5)^2-4*1*-224}}{2*1}\)

\(p = \frac{7.5\±\sqrt{56.25+896}}{2}\)

\(p = \frac{7.5\±\sqrt{952.25}}{2}\)

\(p = \frac{7.5\± 30.86}{2}\)

\(p = \frac{7.5 + 30.86}{2}\) or \(p = \frac{7.5 - 30.86}{2}\)

\(p = \frac{38.36}{2}\) or \(p = \frac{-23.36}{2}\)

\(p = 19.18\) or \(p = -11.68\)

But length can not be negative.

So:

\(p = 19.18\)

Answer:

x=4 and y= 2/3

Step-by-step explanation:

g(x)= -5x+4

g(0)= -5(0)+4

=4

(0,4)

then you find x

1(x)= -5x+4

x= -5x+4

x+5x = 4

6x ÷ 6 =4÷6

x = 2/3 or ⅔

Answer: 4

Explanation: To find how many decimal places a number has, simply locate the decimal point, then start counting every single digit that is to the right of the decimal.

Examples:

10.5 has 1 decimal places

10.56 has 2 decimal places

10.567 has 3 decimal places

10.65398935 has 8 decimal places

The decimals places of the number will be 3 because zero is not included when it comes to the last place.

The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.

The decimal number is given as,

⇒ a.b

Where a is the whole part and b is the decimal part.

For example:

10.5 has 1 decimal places

10.56 has 2 decimal places

10.567 has 3 decimal places

10.65398935 has 8 decimal places

The decimal number is given below.

⇒ 18.5470

The decimals places of the number will be 3 because zero is not included when it comes to the last place.

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Answer:

C

Step-by-step explanation:

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186 cm is equal to 6.0985 feet. This can be found by dividing 186 cm by 30.48 cm/feet.

The formula for converting from cm to feet is to divide the number of cm by 30.48. This is because 1 foot is equal to 30.48 cm. Therefore, to find the number of feet in 186 cm, we can divide 186 by 30.48.

186 cm can be broken down into 186/30.48 = 6.0985 feet.

To calculate this, we can use long division. We can divide 186 by 30.48. We start by dividing 186 by 30 and getting 6. We then take the remainder (16) and divide it by .48 and getting 33. Therefore, 6.0985 feet is equal to 186 cm.

To check our answer, we can multiply 6.0985 feet by 30.48 cm/feet and getting 186 cm, which is our original number. Therefore, our answer is correct.

In conclusion, 186 cm is equal to 6.0985 feet. This can be found by dividing 186 cm by 30.48 cm/feet. This can be done by long division or by calculator. We can also check our answer by multiplying 6.0985 feet by 30.48 cm/feet and getting 186 cm.

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Answer: Dilation, scale factor of 2.

Step-by-step explanation: The scale factor would be the number we multiply the 4 by 6 rectangle to get the 8 by 12 rectangle print.

Since we start with a rectangle with a length of 6 and a width of 4, and the measurements are changed to 8 and 12, we know the scale factor is 2. The scale factor is two because 4 • 2 is 8, and 6 • 2 is 12. Out of the transformations, (reflection, rotation, translation, dilation) the only one that includes a scale factor would be dilation. We also know it’s a dilation since the print is getting larger, and the pre image and image are not the same.

Answer:

C is the anwser

Step-by-step explanation:

divide by flipping everything and rooting it.

Given

One of the zeros of 14² − 42² − 9 is the negative of the other.

To find the value of k.

Explanation:

It is given that,

One of the zeros of 14² − 42² − 9 is the negative of the other.

That implies,

Let α, -α be the zeros of the polynomial f(x) = 14² − 42² − 9.

Then,

Also,

Subtracting (1) and (2) implies,

Hence, the value of k is 0.

The closure property of addition states that the sum of two whole numbers will always be a whole number.

A whole number is a set of all positive integers from 0 to infinity.  Now we all know that if we add two positive numbers up, the sum will either remain constant (if the number is 0) or be greater than both numbers. This means that the sum of two whole numbers has to be a whole number.

Example 1 If we add 0 and 45

0 + 45

= 45

We already know that 45 is a whole number.

Example 2- If we add 486 and 354

486 + 354

= 840

From the definition, we can say that 840 is a whole number.

This is the closure property.

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