round 21.095 (Nearest whole number)​

Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

Step-by-step explanation:

If x and y are integers, then the even number is 2x and the odd number is 2y+1.  The product is:

2x (2y + 1)

Distribute the x:

2 (2xy + x)

This product is a multiple of 2, so the number is even.

Answer:

= 35/4 or 8 3/4 or 8.75

Step-by-step explanation:

i hope this helps :)

Answer:

8.75 or 8 3/4

Step-by-step explanation:

In a dataset or graph, outliers are extreme values that greatly deviate from the dominant pattern of values.

In order to identify the outlier, search for a value that is significantly greater or smaller than all the other values. Due to its extreme size compared to all other numbers, the number 267 is an outlier.

a value that "lies outside" (i.e., is significantly smaller or substantially bigger) most of the other values in a set of data For instance, both 3 and 85 in the scores 25, 29, 3, 32, 85, 33, 27 and 28 are "outliers".

A data point that is an outlier in a data graph or dataset you are dealing with is one that is extraordinarily high or extraordinarily low in comparison to the nearest data point and the rest of the nearby coexisting values. Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.

To learn more about outliers refer to:

https://brainly.com/question/3631910

#SPJ4

Answer:

a) \(p \geq 60\,ft^{2}\), b) \(w \geq 36\,ft\), c) \(1\,qt \leq q \leq 2\,qt\), d) \(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\)

Step-by-step explanation:

In this question we proceed to translate each sentence into mathematical language and, more specifically, inequations:

a) At least 60 square feet of plywood for the surface

Let \(p\) the surface area of plywood, measured in square feet, and the inequation is:

\(p \geq 60\,ft^{2}\) (Eq. 1)

b) At least 36 feet of wood planks for the frame of the dog house

Let \(w\) the total length of wood planks, measured in feet, and the inequation is:

\(w \geq 36\,ft\) (Eq. 2)

c) Between 1 and 2 quarts of paint

Let \(q\) the total capacity of paint, measured in quarts, and the inequation is:

\(1\,qt \leq q \leq 2\,qt\) (Eq. 3)

d) Han's budget is $ 65. Plywood costs $ 0.70 per square foot, planks of wood cost $ 0.10 per foot and paint costs $ 8 per quart.

Dimensionally speaking, we understand that cost equals unit cost multiplied by physical variable (i.e. Area, length or capacity). Let \(p\), \(w\) and \(q\) the surface area of plywood, the total length of wood planks and the total capacity of paint, respectively. The sentence is represented by the following inequation:

\(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\) (Eq. 4)

Write an inequality to represent each constraint(material and cost)

Plywood:

plywood ≥ 60 square feet

Planks:

planks ≥ 36 feet

Paints

1 quarts ≤ paints ≤ 2 quarts

Inequality to represent cost constraint

Plywood = $0.70

planks of wood = $0.10

paint costs $8

Total cost = $65

0.70 × p + 0.10 × pw + 8 × Pa ≤ 65

0.70p + 0.10pw + 8pa ≤ 65

Read more:

https://brainly.com/question/11067755

D. None of these.

Equilateral is the only triangle that has all the sides that are equal to each other. Hope this helped you :)

Option D . None of these is the correct answer.

Answer:

1,2,3

Step-by-step explanation:

The numbers that round down when rounding to the nearest thousand

are 95,100, 7,115, and 84,279.

We round off numbers to make them easier to remember and it also keeps its value approximately to the place it has been rounded off.

To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.

Numbers that will round down to the nearest thousands are from a001 to a449 when a can be from 1 to 9.

∴The numbers that round down when rounding to the nearest thousand

are 95100 ⇒ 95000.

7,115 ⇒ 7000.

84,279 ⇒ 84000.

learn more about rounding off of numbers here :

https://brainly.com/question/15265892

#SPJ5

Using the box-and-whisker plot, it is found that the median of the data-set is given by:

B. 87.

A box and whisker plot shows three things:

In this plot, we have that:

Hence option B is correct.

More can be learned about box-and-whisker plots at https://brainly.com/question/27743205

#SPJ1

Answer:

B) 87

Step-by-step explanation:

Hope it helps!

Longest Path Problem in Ordered, Unweighted, Directed Graphs.

The longest path problem in ordered, unweighted, directed graphs aims to find the longest path in an ordered, unweighted, directed graph. The length of the path is measured by the number of vertices that it contains. Developing an O(n2) algorithm for solving the longest path problem in ordered, unweighted, directed graphs entails determining the longest path in a directed acyclic graph (DAG).

The algorithm is as follows:

Step 1: Find the indegrees of all vertices in the graph. A queue will also be created, which will contain all vertices with zero indegrees.

Step 2: While the queue is not empty, remove the first vertex, add it to the topological order, and decrease the indegrees of its neighbors by one.

Step 3: If the indegree of a neighbor reaches zero as a result of the previous step, it is added to the queue.

Step 4: The algorithm maintains an array d[], where d[v] represents the longest path that ends at vertex v.

Initialize all values in d[] to 0. Also, initialize a variable maxPath to 0.

Step 5: For each vertex u in the topological order, iterate over each of its neighbors v. If d[v] + 1 > d[u], update d[u] to d[v] + 1.

Step 6: If d[u] > maxPath, update maxPath to d[u].

Step 7: The length of the longest path will be stored in maxPath when the algorithm terminates. The longest path can be retrieved using d[] and the topological order.

In conclusion, the above algorithm has an O(n2) time complexity, and it solves the longest path problem in ordered, unweighted, directed graphs.

To learn more click below link

https://brainly.in/question/56004791

#SPJ11

Answer:

c. \(3(10)^{6}\)

Step-by-step explanation:

Hope this helps

The Economic Order Quantity (EOQ) is calculated to be 547.72 units. The number of orders placed per year is 5.84, and the reorder point (ROP) is 32.01.

The total holding cost of lawnmowers is R1369.30, and the total ordering cost of lawnmowers is R876.00. These calculations provide valuable insights for efficient inventory management.

The Economic Order Quantity (EOQ) can be calculated by using the formula: EOQ = √2DS / H,

where D = Total Demand = 3200 units,

S = Ordering cost per order = R150,

and H = Annual holding cost per unit = R5.

Therefore, EOQ = √ (2 x 3200 x 150) / 5 = 547.72 units.

4.2 Number of orders placed per year: No of orders per year = D / Q,

where D = Total Demand = 3200 units and Q = EOQ = 547.72 units.

Therefore, No of orders per year = D / Q = 3200 / 547.72 = 5.84 orders.

4.4 Total holding cost of lawnmowers:

Total holding cost of lawnmowers = (Average inventory level) x (Annual holding cost per unit),

where (Average inventory level) = EOQ / 2 = 547.72 / 2 = 273.86 units and Annual holding cost per unit = R5.

Thus, the Total holding cost of lawnmowers = 273.86 x R5 = R1369.30.

4.1 Reorder Point (ROP): ROP can be calculated by using the formula:

ROP = dL, where d = Daily demand = D / Number of working days

= 3200 / 300 = 10.67 and L = Lead time = 3 days.

Hence, ROP = dL = 10.67 x 3 = 32.01.

4.5 Total ordering cost of lawnmowers:

Total ordering cost of lawnmowers = (Number of orders placed per year) x (Ordering cost per order),

where (Number of orders placed per year) = 5.84 orders and Ordering cost per order = R150.

Therefore, the Total ordering cost of lawnmowers = 5.84 x R150 = R876.00.

The Economic Order Quantity (EOQ) is calculated to be 547.72 units.

The number of orders placed per year is 5.84, and the reorder point (ROP) is 32.01.

The total holding cost of lawnmowers is R1369.30, and the total ordering cost of lawnmowers is R876.00.

These calculations provide valuable insights for efficient inventory management.

To know more about  Economic Order Quantity, visits:

https://brainly.com/question/31694034

#SPJ11

The vector a with representation given by the directed line segment AB, where A is the point (0, 5, 3) and B is the point (1, 5, -5), is (1, 0, -8).

The vector a with representation given by the directed line segment AB, where A is the point (0, 5, 3) and B is the point (1, 5, -5), can be found by subtracting the coordinates of A from the coordinates of B.

To find the vector a with representation given by the directed line segment AB, we subtract the coordinates of point A from the coordinates of point B.

This will give us the displacement from A to B, which represents the vector a.

The coordinates of point A are (0, 5, 3) and the coordinates of point B are (1, 5, -5).

To find the vector a, we subtract the corresponding coordinates:

a = B - A = (1, 5, -5) - (0, 5, 3) = (1 - 0, 5 - 5, -5 - 3) = (1, 0, -8)

Therefore, the vector a with representation given by the directed line segment AB is (1, 0, -8).

This vector represents the displacement from point A to point B, indicating the direction and magnitude of the line segment AB.

Learn more about Vector here:

https://brainly.com/question/29740341

#SPJ11

Bob continues his research because even though there is no linear equation relationship between the number of bedrooms and selling price, there could be another type of relationship.

Bob continues his research because even though the correlation value he calculated between the number of bedrooms and the selling price was only 0.05, this does not necessarily mean that there is no relationship of any kind between these two variables. It simply means that there is no linear relationship between the two. There could still be other types of relationships between the two variables, such as an exponential or quadratic relationship. It is possible that further analysis and exploration of the data set would reveal such a relationship and allow Bob to uncover the relationship between the two variables. Additionally, even if the correlation value is low, it does not necessarily mean that there is no relationship between the two variables. It simply means that the relationship is weak. Therefore, Bob should continue his research in order to uncover any potential relationships between the number of bedrooms and selling price.

Learn more about linear equation here

https://brainly.com/question/11897796

#SPJ4

Answer:

0.134%

Step-by-step explanation:

We have to

sd * P = [p * (1 - p) / n] ^ (1/2)

where p = 0.52 and n = 775, replacing:

sd * P = [0.52 * (1 - 0.52) / 775] ^ (1/2) = 0.0179

Now the probability would be:

P = 1 - P [(- 0.05) /0.0179 <z <(0.05) / 0.0179]

P = 1 - P (-2.79 <z <2.79)

P = 1 - P (z <2.79) - P (z <-2.79)

P = 1 - 0.9974 - 0.00126

P = 1 - 0.99614

P = 0.00134

Therefore the probability is 0.134%

Exponential form is a way of representing repeated multiplications of the same number by writing the number as a base with the number of repeats written as a small number to its upper right.

In the exponential form, the exponent indicates the number of times the base is used as a factor.

For example, in the case of 16 it can be written as 2 × 2 × 2 × 2  = \(2^{4}\), where 2 is the “base” and 4 is the “exponent.

A product in which the factors are identical is called a power of that factor.  The number that is repeated is called the base, and the number of times it repeats is called the exponent, power or degree. And the power that is written on the right upper side are called exponents. when multiplying the numbers having same base and different exponents then the base is kept same and the exponents are added.

To learn more about Exponential form please visit:

https://brainly.com/question/23275698

#SPJ4

Answer:  six square root of five minus four square root of fifteen

In symbolic form the answer looks like \(\boldsymbol{6\sqrt{5} -4 \sqrt{15}}\)

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

Work Shown:

\(\sqrt{5}\left(6 - 4\sqrt{3}\right)\\\\\sqrt{5}\left(6\right) + \sqrt{5}\left(-4\sqrt{3}\right)\\\\6\sqrt{5} -4 \sqrt{5*3}\\\\6\sqrt{5} -4 \sqrt{15}\\\\\)

The basic idea is to distribute the outer term \(\sqrt{5}\) to each term inside. From there you simplify.

For the second to last step, I used the rule that \(\sqrt{A}*\sqrt{B} = \sqrt{A*B}\)

To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:

Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]

where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.

In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.

Now, let's evaluate the function at the right endpoints of the subintervals:

f(2.5) = 1/(2.5)^2 = 0.16

f(3) = 1/(3)^2 = 0.1111

f(3.5) = 1/(3.5)^2 = 0.0816

f(4) = 1/(4)^2 = 0.0625

Substituting these values into the formula:

Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]

Approximate Area = 0.5 * 0.4152

Approximate Area = 0.2076

Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.

learn more about graph here

https://brainly.com/question/10712002

#SPJ11

Answer: Its 999,999

Step-by-step explanation:

You just take your chance of losing and minus your chance of winning to it.

Answer:

2l + 2w

Step-by-step explanation:

using the distributive property

a(b + c) = ab + ac

2(l + w)

= 2l + 2w

Answer:

5,136

Step-by-step explanation:

because 1,712×3=5,136

Answer:

c

Step-by-step explanation:

using the continously compounded formula, let a be unknown, p= 530, r be 0.05 and t be 12.

the equation would then be a=530e to the (0.05*12)th power, so that's why it's c

The amount of money after 12 years is $965.66. Therefore, option C is the correct answer.

Continuously compounded interest means that an account balance is constantly earning interest, as well as refeeding that interest back into the balance so that it, too, earns interest.

The continuous compound interest formula is \(P(t)=P_0e^{rt}\).

Where, P(t)=value at time t, \(P_0\) =original principal sum, r=nominal annual interest rate and t= length of time the interest is applied

Now, \(P(12)=530\times e^{0.05\times12}\)

⇒ \(P(12)=530\times e^{0.6}\)

⇒ P(12)= 530×1.822

⇒ P(12)= $965.66

The amount of money after 12 years is $965.66. Therefore, option C is the correct answer.

Learn more about the continuous compound interest here:

https://brainly.com/question/17185294.

#SPJ2

Answer:

1600 readers

Step-by-step explanation:

80*100=8000

5*n=5n

8000/5=1600

n=1600

The Factors of the numbers are as follows;

The common factors are 2 and 3.

Therefore, the Greatest Common Factor is (2 x 3) 6

The problem is stating that Mandy found the ratio between input and output of many points on the graph, which are displayed by the fractions. Mandy's conclusion was that they were not equivalent, meaning they were different and that is why the function is not proportional. Mandy's conclusion is wrong, the relation is proportional. If we take all the functions we have:

Where the input is the denominator and the output is the numerator we will have a ratio of "5". Mandy's mistake was to invert the last fraction, she inserted the output in the denominator, this is why she said the were different.

Answer:

.25%

Step-by-step explanation:

Answer: 2.5%

Step-by-step explanation:So, we see that 1,200,000 is the 100%. Now, 30,000 will be a precentage of that 100%. So, convert 30,000/1,200,000 to a percent of 2.5%. (this may not be exact but i think it is right)

Answer:

x = 1

y = 1

Step-by-step explanation:

     4x - 3y = 1 ---------------(I)

      2x +  y = 3 --------------(II)

Multiply equation (II) by (-2) and then add. 'x' will be eliminated, and we can find the value of 'y'.

             (I)           4x - 3y = 1

           (II)* (-2)   -4x - 2y = -6         {Now, add}

                                 -5y = -5

Divide both sides by (-5)

                                  y = -5 ÷ (-5)

                                  \(\sf \boxed{\bf y = 1}\)

Substitute y= 1 in equation (II) and find the value of 'x',

           2x + 1 = 3

Subtract 1 from both sides,

               2x = 3 - 1

                2x = 2

Divide both sides by 2,

                x = 2 ÷ 2

                 \(\sf \boxed{\bf x = 1}\)

Answer:

118.2°

Step-by-step explanation:

Supplementary angles are angles that sum up to 180°. 180 - 61.8 = 118.2°, so that's you answer.

Answer:

118.2°

Step-by-step explanation:

supplementary means angle so it makes 180°

180-61.8=118.2°

Answer:

pqoejbbbsvbhxncbqbqheeirowoqpnabzvxjsmqkw