PLSSSS HELPPP UGRNETLY

To mode of given data set of number of days worked in october for 10 programmers of a software company is 7 and 14.

The mode of a data set is the value that appears most frequently. In this case, we can see that both 7 and 14 appear twice, while all other values appear only once. Therefore, there are two modes in this data set: 7 and 14.

To solve mathematically, we can use the mode formula:

mode = value with the highest frequency

In this case, we have two values with the highest frequency, which are 7 and 14. Therefore, the mode of given data set is 7 and 14.

To know more about Mode:

https://brainly.com/question/24330960

#SPJ4

The angle between the vectors can be found using the dot product. The formula is θ= |A| =√(x12 + y12 + z12) The angle between the vectors -2i + 3j + k and i + 2j - 4k is approximately 137.8 degrees.

v1 • v2 = (-2i + 3j + k) • (i + 2j - 4k)

= -2 - 6 + 1 = -7

|v1| = \(\sqrt{((-2)^2 + 3^2 + 1^2)}\)

=\(\sqrt{(4 + 9 + 1)}\)

=\(\sqrt{14}\)

|v2| = \(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)

= \(\sqrt{(1 + 4 + 16) }\)

= (\(\sqrt{21}\)

θ= |A| (-7/\(\sqrt{14}\)\(\sqrt{21}\))

=  |A| (-7/21*14)

=  |A|(-7/294)

= 137.8 degrees

The angle between two vectors can be found using the dot product formula. This formula isθ= |A| =√(x12 + y12 + z12). In the case of the vectors -2i + 3j + k and i + 2j - 4k, this formula can be used to find the angle between them. The dot product of the two vectors is -2 - 6 + 1 = -7. The magnitude of the first vector, |v1|, can be found using the Pythagorean theorem, which is

\(\sqrt{((-2)^2 + 3^2 + 1^2)}\)

= \(\sqrt{(4 + 9 + 1)}\)

= \(\sqrt{14}\).

The magnitude of the second vector, |v2|, can be found using the Pythagorean theorem, which is

\(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)

= \(\sqrt{(1 + 4 + 16)}\)

= \(\sqrt{21}\)

Once the dot product and magnitudes are known, the angle between the two vectors can be found using the formula .Therefore, the angle between the two vectors is approximately 137.8 degrees.

Learn more about vector here

https://brainly.com/question/15709504

#SPJ4

Answer:

Step-by-step explanation:

s = 10 so ¹/₂s = 5

Pythagorean theorem:

\(h^2+(\frac12s)^2=8^2\\\\h^2+5^2=8^2\\\\h^2=64-25\\\\h^2=39\\\\h=\sqrt{39}=6.2449979....\approx6.2\)

The researcher randomly selected and interviewed fifty male and fifty female teachers can be categorized as:

iii. random - The selection of teachers is done randomly, without any specific criteria or pattern.

To solve the absolute-value inequality |8 - x| ≥ 5, we can consider two cases:

Case 1: (8 - x) ≥ 5

To solve this inequality, we have:

8 - x ≥ 5

-x ≥ 5 - 8

-x ≥ -3 (multiplying by -1 and reversing the inequality)

x ≤ 3 (dividing by -1 and reversing the inequality)

Case 2: -(8 - x) ≥ 5

To solve this inequality, we have:

-8 + x ≥ 5

x ≥ 5 + 8

x ≥ 13

Combining the solutions from both cases, we have:

x ≤ 3 or x ≥ 13

So, the solution to the absolute-value inequality |8 - x| ≥ 5 is x ≤ 3 or x ≥ 13.

To know more about inequality visit:https://brainly.com/question/30231017

Answer:

5,050

Step-by-step explanation:

Use sigma notation to add all the numbers together (∑)

Answer: 200 Students

Step-by-step explanation:

Answer: (a) 64°

(b) Yes, it is safe

Step-by-step explanation:

A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.

(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest whole number and show all your work.

We solve the above question using the trigonometric function of Sine

sin θ = Opposite side/Hypotenuse sides

θ = Angle formed with the ground = ?

Opposite side = 27 ft

Hypotenuse side = 30 ft

Hence,

sin θ = 27 ft/30 ft

sin θ = 9/10 = 0.9

θ = arc sin (0.9)

θ = 64.158067237°

Approximately to the nearest whole number = 64°

(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 70°.Will the ladder be safe the way it is positioned?

From the above calculation, the angle the ladder makes with the ground is 64° and now we want that angle to be 70°

Hence:

64° < 70°

Therefore, the ladder will be safe the way it is positioned.

A/an database schema diagram can be used to show how the tables in a database are defined and related.

This type of diagram provides a visual representation of the structure and organization of the database. It illustrates the tables ,and  their attributes, and the relationships between them.

The database schema diagram helps in the  understanding the logical design of the database, including primary keys, for  foreign keys, and the connections between different tables. It allows developers, database administrators, and stakeholders to visualize the database structure and serves it as a reference for in  designing, modifying, and querying the database effectively.

To learn more about  database click here:

brainly.com/question/31664263

#SPJ11

The  periods that you can use for an n period moving average is 3.

The term n period moving average is the type of average that an investor can use to determine the trends in investments and the equities market. This type of average helps the traders to be able to understand the moving trends in the market and also to be able to make forecasts.

The period of the moving average spans across the times that the stock would last. This is determined by the equities market. Hence we can say that number of periods that you can be able to substitute for n to obtain the period moving average is 3.

Learn more about moving average:https://brainly.com/question/15572913

#SPJ1

Answer:

\( \large \sf \: 6y - 8\)

Step-by-step explanation:

Let's simplify step-by-step.

8y−2(y+4)

Distribute:

=8y+(−2)(y)+(−2)(4)

=8y+−2y+−8

Combine Like Terms:

=8y+−2y+−8

=(8y+−2y)+(−8)

=6y+−8

=6y−8

Answer:

6y - 8

Step-by-step explanation:

This is a simplifying problem, so we just need to separate and link the like terms.

First we start with the parenthesis by distributing

-2*y + -2*4

-2y - 8

We can the put it back into the equation

8y - 2y + 8

8y and -2y are like terms so we can put them together to get 6y

6y +8

Answer:

\(\angle PRQ = 50^\circ\)

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

We are given the following details:

\(\angle RPQ =99^\circ\)

\(\angle PQR =31^\circ\\\text{Side QR} = 11\ units\)

To find:

\(\angle PRQ =?\\Side\ PR = ?\\Side\ PQ = ?\)

We know that the sum of all the angles of a triangle is equal to \(180^\circ\)

i.e.

\(\angle PQR +\angle PRQ +\angle RPQ =180^\circ\\\Rightarrow 31^\circ +\angle PRQ +99^\circ =180^\circ\\\Rightarrow \angle PRQ = 180-130\\\Rightarrow \angle PRQ = 50^\circ\)

To find the sides, we can use Sine rule:

As per Sine rule:

\(\dfrac{a}{sin A} =\dfrac{b}{sin B} =\dfrac{c}{sin C}\)

Where a, b and c are the sides opposite to \(\angle A,\angle B,\angle C\) respectively.

Using Sine rule in given triangle:

\(\dfrac{11}{sin 99} =\dfrac{b}{sin 31} =\dfrac{c}{sin 50}\\\\\text{Solving }\dfrac{11}{sin 99} =\dfrac{b}{sin 31} \\\Rightarrow b = \dfrac{11}{sin 99} \times sin31\\\Rightarrow b =5.74\ units\\\\\text{Now, Solving }\dfrac{11}{sin 99} =\dfrac{c}{sin 50} \\\Rightarrow c = \dfrac{11}{sin 99} \times sin50\\\Rightarrow c =8.53\ units\)

So, sides are

PR = 5.74 units and

PQ = 8.53 units

Answer:

Answer:

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

We are given the following details:

To find:

We know that the sum of all the angles of a triangle is equal to

i.e.

To find the sides, we can use Sine rule:

As per Sine rule:

Where a, b and c are the sides opposite to  respectively.

Using Sine rule in given triangle:

So, sides are

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

Answer:

uhh what's the question you just showed the graph what's the actual question

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

The question is asking for the slope of the line. The standard form of a linear equation is y=mx+b where m is the slope. To find the slope you simply look at the change in y over the change in x. You can pick any two coordinate points to find the slope.

Here is the equation to find the slope; \((y_{1}-y_{2})/x_{1}-x_{2}\)

****Notice that the line starts up high (looking at it from left to right, like how you read a book), and therefore it is a negative slope.

I am picking the points (-1,2) and (1,1). Plug in the corrdinates- (2-1=1) and (-1-1=-2) -1/2

Hope this helps:)

Answer:

\(4x^3-14x^2y+14xy^2-4y^3\)

Step-by-step explanation:

A product means multiply. So multiply 2x^2-3xy+y^2 and 2x-4y.

Considering the given quadratic equation, it is found that the quickest way to find the maximum height is given by:

c. Complete the square.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

The maximum height is at the vertex, which is found completing the squares, hence option c is correct.

More can be learned about quadratic equations at https://brainly.com/question/24737967

#SPJ1

To find ln(x³y) in terms of u and v, we can use the properties of logarithms. ln(x³y) can be rewritten as ln(x³) + ln(y), and using the property ln(a^b) = bˣ ln(a), we have 3ln(x) + ln(y) = 3u + v.

To find ln(x³y) in terms of u and v, we can use the properties of logarithms. ln(x³y) can be rewritten as ln(x³) + ln(y), and using the property ln(a^b) = bˣ ln(a), we have 3ln(x) + ln(y) = 3u + v.

The domain of the function f(x) = ln(x-3) is x > 3, since the natural logarithm is undefined for non-positive values. The x-intercept occurs when f(x) = 0, so ln(x-3) = 0, which implies x - 3 = 1. Solving for x gives x = 4 as the x-intercept.

There are no vertical asymptotes for the function f(x) = ln(x-3) since the natural logarithm is defined for all positive values. However, the graph approaches negative infinity as x approaches 3 from the right, indicating a vertical asymptote at x = 3.

To sketch the graph of f(x) = ln(x-3), we start with the x-intercept at (4, 0). We can plot a few more points by choosing values of x greater than 4 and evaluating f(x) using a calculator.

As x approaches 3 from the right, the graph approaches the vertical asymptote at x = 3. The graph will have a horizontal shape, increasing slowly as x increases. Remember to label the axes and indicate the asymptote on the graph.

Learn more about terms

brainly.com/question/28730971

#SPJ11

Answer:

The correct option is;

E) For each hundred-thousand dollar increase in the listing price, the sales price is predicted to increase by $101,000

Step-by-step explanation:

Whereby the relationship between the actual price of a strip mall and the listing price is modeled according to the least squares regression line as follows;

C = 0.2 + 1.01·L

Where;

L = The listing price

C = The sales price

Where both amounts are in hundred-thousands of dollars;

Therefore, given that the slope is 1.01, we have that for an increase of $100,000 for the listing price, L, which is 1 unit increase the sale price increases as follows

C₁ = 0.2 + 1.01 × 1 = 1.21

While for an increase of an extra $100,000, to make the listing price. $200,000 or 2 units, we have;

C₂ = 0.2 + 1.01 × 2 = 2.22

The increase is C₂ - C₁ = 2.22 - 1.21 = 1.01

C₂ - C₁ = $100,000 × 1.01 = $101,000

The increase is C = $101,000

Whereby, the equation is a linear regression line which is a model for prediction, we have;

The predicted increase in the sale price is $101,000 for each $100,000 increase in the listing price.

Answer:

kay

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

Answer:

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is the same. The nth term of a geometric sequence is given by:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term and \(q\) is the common ratio.

A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and falls again.

This means that:

\(q = 0.7, a_1 = 25*0.7 = 17.5\)

Then

\(a_n = a_1q^{n-1}\)

\(a_n = 17.5(0.7)^{n-1}\)

First 5 terms:

\(a_1 = 17.5\)

\(a_2 = 17.5(0.7)^{2-1} = 12.25\)

\(a_3 = 17.5(0.7)^{3-1} = 8.58\)

\(a_4 = 17.5(0.7)^{4-1} = 6\)

\(a_5 = 17.5(0.7)^{5-1} = 4.2\)

Find the total distance the ball has travelled after it hits the ground the 5th time.

\(T = 17.5 + 12.25 + 8.58 + 6 + 4.2 = 48.53\)

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

Answer:

x+2x+2=17

Step-by-step explanation:

I'm assuming that's what you're asking, so here is the answer explanation.

3x+6=21

3x=15

Hence, x=5

Apply x=5 to x+2x=2

5+10+2

=17

Answer:

642000000000000000000000

Step-by-step explanation:

Answer:

-25/3 or mixed from -8 1/3

Step-by-step explanation:

Answer:

-25/3 or -8.3

Step-by-step explanation:

Hope this helps:)

The trees must be between 16 and 26 years old

16  <  x   ≤ 26

Height at which the trees are planted = 6 cm

Yearly growth of trees = 9cm

The tree can only flower when they are taller than 150 cm

The tree to be selected should not be more than 240 cm so that they can flower

Let the age of the tree be represented by x

The equation that represents this illustration is:

150 < 6   +   9x   ≤   240

150 - 6 <  6 + 9x - 6   ≤  240  -  6

144  <  9x  ≤ 234

Divide through by 9

144/9  <  x    ≤  234/9

16  <  x   ≤ 26

For the flower to blossom, it must be older than 16 years and not more than 26 years old

Learn more here: https://brainly.com/question/19042935

Answer:

The slope is 1.

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

False.

Access supports a wide range of built-in functions and operators that can be used to create calculated fields. These functions and operators include mathematical functions (such as multiplication, division, exponentiation), string functions (such as concatenation, trimming, and formatting), date and time functions, aggregate functions (such as sum, average, count), and more.

In addition, Access also allows you to create user-defined functions using VBA (Visual Basic for Applications), which can be used to perform custom calculations on your data.

Therefore, the statement "the only calculated fields you can create in Access are those involving addition and subtraction" is false.

learn more about 'function'

#SPJ11

In general, an appropriate null hypothesis is one that states there is no significant difference or relationship between two variables.

Therefore, out of the options given, the appropriate null hypothesis would be "selection was not a significant factor."
An appropriate null hypothesis is "Selection has no effect on the observed outcome. "it means that any differences observed in the data are due to chance, and not due to a specific selection process or factor. The null hypothesis serves as a starting point in statistical analysis, and researchers aim to either accept or reject it based on the evidence collected.

Visit here to learn more about statistical analysis:

brainly.com/question/30591800

#SPJ11

Answer:

(6, 8 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )

here (x₁, y₁ ) = (10, 10 ) and (x₂, y₂ ) = (2, 6 ) , then

midpoint = ( \(\frac{10+2}{2}\) , \(\frac{10+6}{2}\) ) = ( \(\frac{12}{2}\) , \(\frac{16}{2}\) ) = (6, 8 )