a ball has a radius of 6 inches as shown in the diagram.


what is the volume, in cubic inches, of the ball?

Answer:

a) The third quartile Q₃ = 56.45

b) Variance \(\mathbf{ \sigma^2 =2633.31}\)

Step-by-step explanation:

Given that :

\(Q_1\)  =  30.8

Median \(Q_2\) =  48.5

Mean  = 42

a) The mean is less than median; thus the expression showing the coefficient of skewness is given by the formula :

\(SK = \dfrac{Q_3+Q_1-2Q_2}{Q_3-Q_1}\)

\(-0.38 = \dfrac{Q_3+30.8-2(48.5)}{Q_3-30.8}\)

\(-0.38Q_3 + 11.704 = Q_3 +30.8 - 97\)

\(1.38Q_3 = 77.904\)

Divide both sides by 1.38

\(Q_3 = 56.45\)

b) The objective here is to determine the approximate value of the variance;

Using the relation

\(SK_p = \dfrac{Mean- (3*Median-2 *Mean) }{\sigma}\)

\(-0.38= \dfrac{42- (3 *48.5-2*42) }{\sigma}\)

\(-0.38= \dfrac{(-19.5) }{\sigma}\)

\(-0.38* \sigma = {(-19.5) }{}\)

\(\sigma =\dfrac {(-19.5) }{-0.38 }\)

\(\sigma =51.32\)

Variance =  \(\sigma^2 =51.32^2\)

\(\mathbf{ \sigma^2 =2633.31}\)

Answer:

Yes it is a polynomial function

The fraction of the length of Sofia's bike is 3/2 times longer that Emely's.

What is mixed fraction?

 A mixed fraction is one that has both its quotient and remainder represented. A mixed fraction like 2 1/3 is one where the remainder is 1 and the quotient is 2. Therefore, a mixed fraction is made up of both a whole number and a correct fraction.

To find how many times the length of Emely's ride is compared to Sofia's, you would divide the two mixed numbers:

=>6  3/4  divided by 4  1/2

Convert the mixed  numbers to improper fractions:

=>27/4  divided by 9/2

To solve, multiply 27/4 by the reciprocal of 9/2:

=>27/4 * 2/9 = 3/2  or 1 and 1/2

So Sofia's ride is 1.5 times longer than Emely's.

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First, we translate b and place the tail at the tip of a, being careful to draw a copy of b that has the same length and direction. then we draw the vector a+b (see the middle figure) starting at the initial point of a and ending at the terminal point of the copy of b.

Alternatively, we could place b so it starts where a start and construct a+b by the parallelogram law as in the bottom figure.

The parallelogram law says that if we place two vectors so they have the same initial point, and then complete the vectors into a parallelogram, then the sum of the vectors is the directed diagonal that initiates at the same point as the vectors.

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is your question complete?

Young adults might value credit in case of an emergency for several reasons. Firstly, credit provides financial flexibility, allowing them to access funds quickly when unexpected expenses arise.

This can be essential for covering costs related to medical emergencies, car repairs, or other unforeseen events that may strain their limited savings. Secondly, young adults often have less established financial safety nets than older individuals. They may not have significant savings, insurance policies, or support from family members to fall back on during emergencies. Credit, in this case, acts as a temporary financial cushion, enabling them to manage immediate needs without resorting to high-interest loans or further jeopardizing their financial stability.

Thirdly, responsible use of credit can help young adults build a positive credit history. Demonstrating responsible borrowing and repayment habits will make it easier for them to access more favorable credit terms in the future, such as lower interest rates or higher credit limits. This can prove valuable when making significant purchases, like buying a home or financing higher education.

Lastly, having access to credit can also provide young adults with a sense of financial independence and empowerment. Knowing they have the means to handle emergencies without relying on others can boost their confidence in managing personal finances and help them make more informed financial decisions as they navigate adulthood.

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Answer:

Step-by-step explanation:

3x4x5=60 combinations

Answer:

10 x 17.1 = 171

Step-by-step explanation:

10 x 17.1 = 17.1

Answer:

The gcf of 16,48,72 is 4,12,18

Answer:

Answer:

$32.58

Step-by-step explanation:

Joe bought ten items total.

His total cost was $325.80

325.80 / 10 =32.58

Mean is the average

The number of yards of fabric remaining, y, depends on the number of tote bags Tara sews, x is \(y = 12 - 1.25x\).

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, Tara bought 12 yards of fabric to make tote bags and each bag requires 1.25 yards of fabric.

The equation that describes the number of yards of fabric remaining, y, depends on the number of tote bags Tara sews, x is

\(y = 12 - 1.25x.\)

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The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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The values are; Option C. x = 18; y = 6√10

Using the tangent identity, we have;

tan θ = opposite/adjacent

tan θ = 2/6

θ = 18. 4

Then

Angle CDB = 90 - 18. 4 = 71. 5 degrees

Using tangent identity, we have;

tan 71.5 = x/6

cross multiply the values

x = 18

Then, we have using Pythagorean theorem ;

y²= 18² + 6²

y = 360

y = 6√10

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Answer:

x==18

Step-by-step explanation:

Original Question :

\(6 = \frac{x + 2}{3} \)

(You will need to Find LCM)

\(6(6) = (\frac{x + 2}{?3})6\)

(You will then multiply 6 by 6)

(With the three you will divide 6 by 3)

\(36 = (x + 2)2 \\ \)

(Since three can divide 6 2 times that's why we have two outside the bracket)

36=2x+4

We got this and because you will multiply 2 by the ones in the bracket

So the 4 will cross the equal sign making it negative

\(36 - 4 = 2x\)

You will then proceed to simplify which is going to be;

\(32 = 2x\)

We got 32 because 36-4 is 32

After this you divide both sides by 2

\( \frac{36}{2 ?} = \frac{2x}{2?} \)

36 divided by 2 is;, 18 and 2 will cancel each other out leaving x alone

So;

\(x = 18\)

Answer: (-8.4, -5.6)

Step-by-step explanation:

In order to find the midpoint of a line segment, you must take each coordinate individually, add it to other coordainte of that type, and divide by two.

In this example, in order to find the x-coordinate of the midpoint, we take -11.2 and -5.6 and add them, where we get -16.8. After that, you divide it by 2 to get -8.4, which is the x-coordinate of the midpoint

In order to find the y coordinate of the midpoint, add the two y coordinates, -3.4 and -7.8, which gives us -11.2, then divide by 2, to get -5.6.

So, the midpoint is (-8.4, -5.6)

The interval of the graph at which Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )

Given data ,

Susan is running a 5k race. The graph of distance vs. time is shown

So , the slope of the first line is m₁

And , the slope of the second line is m₂

where the points are A ( 0 , 0 ) , B ( 10 , 3 ) , C ( 20 , 4 )

Now , slope of AB is

m₁ = ( 3/10 ) = 0.3

And , m₁ = 0.3 kilometers per minute

And , slope of BC is

m₂ = ( 4 - 3 ) / ( 20 - 10 )

m₂ = 1/10

m₂ = 0.1 kilometers per minute

Therefore , the interval is fastest at second line from B ( 10 , 3 ) , C ( 20 , 4 )

Hence , Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )

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Answer:

544

.....................

Answer:

543

Step-by-step explanation:

The required number = 540 + 3 = 543

hope this helps

so in essence, what's $11 minus 10% of 11?

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 11}}{\left( \cfrac{10}{100} \right)11}\implies 1.1~\hfill \underset{ \textit{after discount} }{\stackrel{ 11~~ - ~~1.1 }{\text{\LARGE 9.90}}}\)

Answer:

Cost of the land = $90,900

Step-by-step explanation:

Cash Paid for the construction = $79,000

Cost of demolition of the old warehouse = $8,000

Salvage (i.e Proceeds from the salvaged materials) = $1,660

Additional Expenditure before construction began

Attorney's fee = $1,160

Real estate broker's fee = $4,400

Architect's fee = $8,660 ( Note that this will be capitalized to building cost)

Driveways and parking lot = $13,800 ( Note that this is capitalized to land improvements)

Sum of additional expenditure = Attorney's fee + Real estate broker's fee

Sum of the additional expenditure = 1160 + 4400

Sum of the additional expenditure = $5,560

Cost of the land = Cash paid + cost of demolition + Additional expenditure - salvage

Cost of the land = 79000 + 8000 + 5560 - 1660

Cost of the land = $90,900

Answer:

Amount to be reported as the cost of the land = $ 91,400

Step-by-step explanation:

Payment of Real Estate= $ 79,000

Building Demolished  $ 8000

Gains on Sale of materials = ($1660)

Attorney’s fee for work concerning the land purchase, $1160

Broker's fee       $4,400

Amount to be reported as the cost of the land = $ 91,400

Broker's fee is included in the purchase of land . Gains on the sale of salvaged materials is deducted  from the cost of land because it is of the building demolished.  Architect's fee is not also included in the cost of land but in the construction costs.

Answer:

x = 3/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x−6)=−12x−9

(3)(x)+(3)(−6)=−12x+−9(Distribute)

3x+−18=−12x+−9

3x−18=−12x−9

Step 2: Add 12x to both sides.

3x−18+12x=−12x−9+12x

15x−18=−9

Step 3: Add 18 to both sides.

15x−18+18=−9+18

15x=9

Step 4: Divide both sides by 15

15x/15 = 9/15

  so x = 3/5

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When 'a' is 10, 'c' is approximately 142.97. You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation

To use the elimination method to solve the equation 2a + c = 162.97, we need another equation with the same variables. However, as there is only one equation given, we cannot apply the elimination method directly.

The elimination method typically involves adding or subtracting equations to eliminate one of the variables, resulting in a new equation with only one variable. Since we have only one equation, we don't have the opportunity to eliminate variables using another equation.

In this case, we can solve the given equation directly by isolating one variable in terms of the other. Let's solve for 'c':

2a + c = 162.97

Rearrange the equation to isolate 'c':

c = 162.97 - 2a

Now, we have an expression for 'c' in terms of 'a'. This equation represents a line in the 'a-c' coordinate plane. We can choose any value for 'a', substitute it into the equation, and calculate the corresponding 'c' value.

For example, let's say we choose 'a' = 10:

c = 162.97 - 2(10)

c = 162.97 - 20

c = 142.97

So, when 'a' is 10, 'c' is approximately 142.97.

You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation since we have one equation and two variables.

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Answer:

Answer: 7

Step-by-step explanation:

The answer is 7

I hope this helps

Answer:

ezzz

for the two boxes on the left you would need to put in a -1 and just 1 in order to get

-5x-5y=10

5x+7y=4

0.  2y.   14.

14 divided by 2 =7 so y=7

plug that into both equations and solve

5x+5(7)=-10

5x+35=-10

5x=-45

divide off the 5 to get x by itself

x=-9

now check the next problem

Step-by-step explanation:

Have an amazing day

The perimeter in simplest form is n + 35 + n + 40 + 2n + 61 = 4n + 136

The perimeter of any shape can be calculated by adding the length of each side.

For example:

1. Perimeter of the Rectangle can be find by adding the length and breadth.

Perimeter of the rectangle = L + B + L + B = 2 ( L + B )

2. Perimeter of the Square can be find by adding the length four times.

Perimeter of the square = L + L + L + L = 4L

here, we have given the length of the side which are in

x = n +35

y = n +40

z = 2n +61

so, for finding the perimeter we simply add the length:

Perimeter = x + y + z

Perimeter = n + 35 + n + 40 + 2n + 61

Perimeter = 4n + 136

now, for perimeter in simplest form,

Perimeter = n + 35 + n + 40 + 2n + 61.

Hence,

The perimeter in simplest form is n + 35 + n + 40 + 2n + 61 = 4n + 136

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Answer:

6. x= 60

7. x = 118

8. x=27

Step-by-step explanation:

The sum of the angles of a triangle is 180

6.    The box in the corner is a right angle which is 90 degrees

x+90+30 = 180

Combine like terms.

x +120 = 180

x = 180-120

x = 60

7.  x+33 + 29 = 180

Combine like terms.

x+62=180

x = 180-62

x=118

8.  21+132+x = 180

Combine like terms

153+x = 180

x = 180-153

x=27

Answer:

6. x = 60°

7. x = 118°

8. x = 27°

Step-by-step explanation:

We know that the sum of angles of a triangle is 180° , so by using that we can find out the value of x .

6. x°+ 90°+30° = 180°

=> x° = 180°-120°

=> x° = 60°

7. x°+33°+29° = 180°

=> x°= 180°-62°

=> x° = 118°

8. x°+132°+21° = 180°

=> x° = 180°- 153°

=> x° = 27°

Answer:

The answer would be 11 1/3 ft sqared

Answer:

see explanation

Step-by-step explanation:

2

4x² + 64 ← factor out the common factor of 4 from each term

= 4(x² + 16)

3

(a - 10)² = 121 ( take square root of both sides )

a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )

a = 10 ± 11

then

a = 10 - 11 = - 1

a = 10 + 11 = 21

If NP and QS are parallel lines and ∠NOM = 130° then the value of ∠POM is 50°.

Parallel lines are two or more lines in a plane that do not intersect, regardless of how far apart they are.

Despite being located at different distances from one another, parallel lines always have the same slope, which is the same steepness and direction.

Since NP and QS are parallel lines, we have:

∠NOM + ∠MOP = 180° (because NOM and MOP are on a straight line)

Also, the alternate interior angles NOM and POM are equal, so:

∠NOM = ∠POM

Substituting this into the first equation gives:

∠POM + ∠MOP = 180°

We can now solve for ∠POM by substituting the given value:

130° + ∠POM = 180°

∠POM = 50°

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