Fine the IRQ of the data set. 11,13,9,4,6,5,8,10



PLEASE HELP!!!!!!!!!!!!!!

Answer:

JN = 32

Step-by-step explanation:

Δ JMN and Δ JKL are similar ( AA postulate )

then the ratios of corresponding sides are in proportion, that is

[tex]\frac{JM}{JK}[/tex] = [tex]\frac{JN}{JL}[/tex] ( substitute values )

[tex]\frac{24}{33}[/tex] = [tex]\frac{JN}{JN+12}[/tex]

[tex]\frac{8}{11}[/tex] = [tex]\frac{JN}{JN+12}[/tex] ( cross- multiply )

11 JN  = 8(JN + 12)

11 JN = 8 JN + 96 ( subtract 8 JN from both sides )

3 JN = 96 ( divide both sides by 3 )

JN = 32

The statements which are true among the answer choices are;

In the concept of straight line graphs (linear graphs) the statements are evaluated as follows;

Read more on parallel and perpendicular lines;

https://brainly.com/question/7197064

#SPJ1

The first term will be 4 and the common ratio will be 2. And the nth term will be given as [tex]\rm a_n = a_{n -1} \cdot 2[/tex].

The complete question is attached below.

Let a be the first term and r be the common ratio. Then the geometric sequences will be

[tex]\rm a_n = a_{n -1} \cdot r[/tex]

The geometric sequence is given below.

4, 8, 16, 32, 64,................

Then the first term will be 4 and the common ratio will be 2.

And the nth term will be given as [tex]\rm a_n = a_{n -1} \cdot 2[/tex].

More about the geometric sequences link is given below.

https://brainly.com/question/11266123

#SPJ1

Answer:

It makes sense for Phil to sell his products online.

Step-by-step explanation:

Answer:

(-2, 1)

Step-by-step explanation:

You can read the solution from graph. The solution is where the two lines intersect. That happens in point (-2, 1).

---

Alternative:

If you want to be sure, you can alway double check by solving the system of equations.

First equation: [tex]y = \frac{1}{2}x + 2[/tex]

Second equation: [tex]y = -\frac{1}{2}x[/tex]

Substituting y in first equation with y from second.

[tex]y = \frac{1}{2}x + 2[/tex]

[tex]-\frac{1}{2}x = \frac{1}{2}x + 2[/tex]

Adding [tex]\frac{1}{2}x[/tex] on both sides.

[tex]-\frac{1}{2}x + \frac{1}{2}x = \frac{1}{2}x + 2 + \frac{1}{2}x[/tex]

[tex]0 = 1x + 2[/tex]

[tex]0 = x + 2[/tex]

[tex]-2 = x[/tex]

Substituting x with -2.

[tex]y = -\frac{1}{2}x[/tex]

[tex]y = -\frac{1}{2}(-2)[/tex]

[tex]y = 1[/tex]

As you see you get the same result as from reading the graph, (-2, 1).

Answer:

Step-by-step explanation:

Remark. Since 6 has a decimal after it, I take it that is the question number.

y = 16x is the basic formula. x starts at 0. Then you add 16 to each number to get the next number in the sequence. Or you could do it the way I propose it.

x      0     1      2     3     4     5     6     7

y      0     16   32   48   64   80  96  112

Composite functions occur when we take two functions and input one into the other as x.

Example:

[tex]f(x) = 2x[/tex]

[tex]g(x) = 3x^2[/tex]

[tex](f\circ g)(x)=f(g(x))[/tex]

[tex](f\circ g)(x) = 2(3x^2)[/tex]

We're given:

To find [tex](f\circ g)(x)[/tex], input g into f as x:

[tex]f(x)= 3x +2[/tex]

[tex](f\circ g)(x)=3(x^2+1) +2\\(f\circ g)(x)=3x^2+3 +2\\(f\circ g)(x)=3x^2+5[/tex]

[tex](f\circ g)(x)=3x^2+5[/tex]

x y

2,0

1,-2

0,-4

-1,-6

-2,-8

Yes, by using the factor theorem and synthetic division method, x + 3 is a factor of -x³ + 4x - 15.

According to the factor theorem, a given polynomial of f(x) has a factor if and only if f=0.

From the given information:

Using the synthetic division method:

[tex]\mathbf{= \dfrac{-x^3+4x - 5}{x+3} }[/tex]

[tex]\mathbf{\implies \dfrac{-(x+3) (x^2-3x + 5)}{x+3} }[/tex]

Cancel out the common factors, we have:

[tex]\mathbf{\implies - (x^2-3x + 5)}[/tex]

Learn more about factor theorem and synthetic division of polynomials here:

https://brainly.com/question/24380382

#SPJ1

Answer:

28 cm

Step-by-step explanation:

The corner to corner cut is a hypotenuse. We know one leg, 45cm. So use Pythagorean theorem to solve for the other leg. See image.

Answer:

(x-1) and (x-5)

Answer:

[tex]\left[\begin{array}{cccc}-1\\1\\1\\0\end{array}\right][/tex], [tex]\left[\begin{array}{cccc}0\\2\\0\\1\end{array}\right][/tex] Are two vectors which are basis of null space of A

Step-by-step explanation:

Basis of a null space is a vector matrix which when multiplied by the reduced echelon form of the matrix gives null matrix or 0 matrix

So, to find the reduced echelon form we apply the row operations :

R₁ = R₁/2

[tex]\left[\begin{array}{cccc}1&-2&3&4\\2&-1&3&2\\4&-5&9&10\\0&-1&1&2\end{array}\right][/tex]

R₂ = R₂ - 2R₁

[tex]\left[\begin{array}{cccc}1&-2&3&4\\0&3&-3&-6\\4&-5&9&10\\0&-1&1&2\end{array}\right][/tex]

R₃ = R₃ - 4R₁

[tex]\left[\begin{array}{cccc}1&-2&3&4\\0&3&-3&-6\\0&3&-3&-6\\0&-1&1&2\end{array}\right][/tex]

R₂ = R₂/3

[tex]\left[\begin{array}{cccc}1&-2&3&4\\0&1&-1&-2\\0&3&-3&-6\\0&-1&1&2\end{array}\right][/tex]

R₁ = R₁ + 2R₂

[tex]\left[\begin{array}{cccc}1&0&1&0\\0&1&-1&-2\\0&3&-3&-6\\0&-1&1&2\end{array}\right][/tex]

R₃ = R₃ - 3R₂

[tex]\left[\begin{array}{cccc}1&0&1&0\\0&1&-1&-2\\0&0&0&0\\0&-1&1&2\end{array}\right][/tex]

R₄ = R₄  + R₂

[tex]\left[\begin{array}{cccc}1&0&1&0\\0&1&-1&-2\\0&0&0&0\\0&0&0&0\end{array}\right][/tex]

which is a reduced echelon form of the matrix A

now ,

[tex]\left[\begin{array}{cccc}1&0&1&0\\0&1&-1&-2\\0&0&0&0\\0&0&0&0\end{array}\right][/tex]    [tex]\left[\begin{array}{cccc}x1\\x2\\x3\\x4\end{array}\right][/tex]  [tex]=\left[\begin{array}{cccc}0\\0\\0\\0\end{array}\right][/tex]

therefore,

x₁ + x₃ = 0

x₁  = -x₃

x₂ - x₃ - 2x₄ = 0

x₂ = x₃ + 2x₄

so now replacing values of x₁ , x₂ in the vector matrix

[tex]\left[\begin{array}{cccc}-x3\\x3 + 2x4\\x3\\x4\end{array}\right][/tex]

we can write the above matrix as,

[tex]x3\left[\begin{array}{cccc}-1\\1\\1\\0\end{array}\right][/tex] [tex]+ x4\left[\begin{array}{cccc}0\\2\\0\\1\end{array}\right][/tex]

therefore we can say that above mentioned vector matrices are the basis of the null space of matrix A

more questions on Matrix at:

https://brainly.com/question/9967572

#SPJ10

Based on the characteristics of the function and the image generated by the graphing tool, we conclude that the first choice represents the function [tex]y = \sqrt{x} - 4[/tex].

In this question we have a radical function ([tex]f(x) = \sqrt{x}[/tex]) translated vertically 4 units in the -y direction. The domain of the function is [0, + ∞). A quick and efficient approach consists in graphing the function and comparing with each image to determine the right choice.

We present the graph description in the image attached below and we conclude that the first choice represents the graph of the function.

To learn more on radical functions: https://brainly.com/question/27847549

#SPJ1

The initial value of the sequence is 1

From the graph, we have the following ordered pairs

(x, y) = (1, 1), (2, 4) and (3, 8)

Remove the x values

y = 1, 4, 8

The first value in the above sequence is 1

Hence, the initial value of the sequence is 1

Read more about sequence at:

https://brainly.com/question/6561461

#SPJ1

Answer:

15a^5 b^10

Step-by-step explanation:

The product is 15a⁵b¹⁰.

Exponentiation is one of the mathematics operations.

Let mᵃ, where m and a are the real numbers.

And m is multiplied by a times to itself.

So, a is the exponent of m.

When multiplying two terms with the same base, you add the exponents. Therefore:

(3a²b⁷)(5a³b³) = 3 x 5 x a⁵ x b ¹⁰

= 15a⁵b¹⁰.

To learn more about the exponents;

brainly.com/question/30066987

#SPJ7

The first option is correct and it best describes the constant difference for the function as a constant second difference of –6.

A function f(x) is the relation between a set of inputs resulting and producing the desired output value of y for each input.

From the given information:

x          f(x)           first difference        second difference   third difference

-2         0                    -                              -                              -

-1         -10            (-10-0)/-1--2 = -10           -                             -

0         -12            (-12 - 10)/0 -- 1= -2     (-2-10)/2 = -6              -

1          -12            (-12--12)/1-0 = 0         (0-2)/2 =  -1              (-1+6)/2 = 5/2

2         -16             (-16--12)/2-1 = -2       (-2-0)/2 = -1              (-1+1)/2 = 0

Therefore, we can conclude that the constant difference for the function is a constant second difference of –6.  

Learn more about the function here:

https://brainly.com/question/19471488

#SPJ1

Answer:

A

Step-by-step explanation:

Answer:

50 people are working in the office

Answer:

[tex]x\geq 12[/tex]

Step-by-step explanation:

[tex]-3/4x + 2 \leq -7\\-3/4x \leq -9\\x \geq 12[/tex]

Answer:

B

Step-by-step explanation:

because > means greater than or more than

and < means less than

the answer is B because 3 is more than 2 and the same time less than 5

The probabilities for various binomial distribution have been determined.

The complete question is

About 5% of hourly paid workers in a region earn the prevailing minimum wage or less. A grocery chain offers discount rates to companies that have at least 30 employees who earn the prevailing minimum wage or less. Complete parts (a) through (c) below.

(a) Company A has 285 employees. What is the probability that Company A will get the discount? (Round to four decimal places as needed.)

(b) Company B has 502 employees. What is the probability that Company B will get the discount? (Round to four decimal places as needed.)

(c) Company C has 1033 employees. What is the probability that Company C will get the discount? (Round to four decimal places as needed.)

Probability is a stream in mathematics that study the likeliness of an event to happen .

On the basis of the given data

(a) Let X is a random variable that denotes the number of employees that earn less than prevailing average.

Here X has binomial distribution with

n=285 and p=0.05.

As np and n(1-p) are greater than 5 so using normal approximation X has normal distribution with parameters

μ=  np-285 * 0.05

= 14.25

standard deviation is given by

[tex]\sigma=\sqrt{np(1-p)}=\sqrt{285* 0.05* 0.95}\\\\=3.6793[/tex]

Applying continuity correction.

The z-score for X = 30-0.5 = 29.5 is

[tex]z=\dfrac{29.5-14.25}{3.6793}\\\\=4.14[/tex]

The probability that Company A will get the discount is given by

[tex]P(X\geq 30)=P(z > 4.14)=0.0000[/tex]

(b) Let X is a random variable that denotes the number of employees that earn less than prevailing average.Here X has binomial distribution with

n=502 and p=0.05.

[tex]\rm \mu=np=502* 0.05=25.1[/tex]

standard deviation

[tex]\rm \sigma=\sqrt{np(1-p)}=\sqrt{502\cdot 0.05\cdot 0.95}=4.8831[/tex]

Applying continuity correction.

The z-score for X = 30-0.5 = 29.5 is

[tex]\rm z=\dfrac{29.5-25.1}{4.8831}=0.90[/tex]

The probability that Company B will get the discount is

[tex]P(X\geq 30)=P(z > 0.90)=0.1841[/tex]

(c)Let X is a random variable that denotes the number of employees that earn less than prevailing average.Here X has binomial distribution with

n=1033 and p=0.05.

[tex]\mu=np=1033\cdot 0.05=51.65[/tex]

standard deviation

[tex]\rm \sigma=\sqrt{np(1-p)}=\sqrt{1033*0.05* 0.95}=7.0048[/tex]

Applying continuity correction.

The z-score for X = 30-0.5 = 29.5 is

[tex]\rm z=\dfrac{29.5-51.65}{7.0048}=-3.16[/tex]

The probability that Company C will get the discount is

[tex]\rm P(X\geq 30)=P(z > -3.16)=0.9992[/tex]

Therefore the probabilities for various binomial distribution have been determined.

To know more about Probability

https://brainly.com/question/11234923

#SPJ1

The no. of different groups of players of 6 players , if the position does not matter is given by 5005 ,Option C is the right answer.

Combination is a method of selection of items from a set of distinct objects , when the position doesn't matter .

It is given that

Total number of players = 15 = n

No. of players to be selected = 6 = r

The no. of different groups of players of 6 players , if the position does not matter is given by

[tex]\rm ^nC_r = \dfrac{n!}{r! (n-r)!}[/tex]

So

[tex]\rm ^{15}C_6 = \dfrac{15!}{6! (15-6)!}\\\\\rm ^{15}C_6 = \dfrac{15!}{6! (9)!}\\\\\\^{15}C_6 = \dfrac{15 * 14 * 13* 12 * 11 * 10 }{6 *5* 4 * 3 * 2*1}\\\\ ^{15}C_6 = 5005\\[/tex]

Therefore , The no. of different groups of players of 6 players , if the position does not matter is given by 5005

Option C is the right answer.

To know more about Combination

https://brainly.com/question/19692242

#SPJ1

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: [ - 10,- 8] \cup[ - 2,0] \cup[2,5][/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The intervals in which a function is decreasing has a negative slope. and for given graph, the required intervals are :

[tex]\qquad \tt \rightarrow \: [ - 10,- 8] \cup[ - 2,0] \cup[2,5][/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The inverse of a function is n(a) = (a+30)/3 option (A) is correct by using the concept of the inverse of a function.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

a(n) =  3n - 30

To find make subject n and solve

a(n) + 30 = 3n

[tex]\rm n = \dfrac{a(n) + 30}{3}[/tex]

Plug n = n(a) and a(n) = a

[tex]\rm n(a) = \dfrac{a + 30}{3}[/tex]

Thus, the inverse of a function is n(a) = (a+30)/3 option (A) is correct by using the concept of the inverse of a function.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

The local maximum of the equation y = x³ - 5x + 2 is y = 6.3 which occurs at x = -1.29

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

y = x³ - 5x + 2

The maximum is at dy/dx = 0, hence:

3x² - 5 = 0

x = -1.29 or x = 1.29

y = (-1.29)³ - 5(-1.29) + 2 = 6.3

The local maximum of the equation y = x³ - 5x + 2 is y = 6.3 which occurs at x = -1.29

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The number of students will be 642 and the number of the adults will be 59.

The solution of the equation means the value of the unknown or variable.

Tickets for a soccer game cost $5 for students and $8 for adults.

The number of students was 7 less than 11 times the numbers of adults.

The amount of the money from tickets was 3682.

Let x be the number of students and y be the number of the adults.

Then the equation will be

x = 11y – 7  …1

5x + 8y = 3682 …2

From equation 1 and 2, we have

5(11y – 7) + 8y = 3682

55y + 8y – 35 = 3682

                63y = 3717

                    y = 59

Then the value of x will be

x = 11 × 59 – 7

x = 642

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

Th equation that can be used to find the umber of minutes Teri ran is m + 2 = 28 minutes.

Addition is a mathematical operation that is used to determine the sum of two or more numbers.

The total minutes run by Julie = minutes ran by Teri + 2

28 = m + 2

Please find attached the complete question. To learn more about addition, please check: https://brainly.com/question/19628082

#SPJ1

The graph is attached with the answer.

When two algebraic expressions are equated using an inequality operator , The statement formed is called In equality.

The given Inequality is 2x + y ≤ 2

in slope intercept form can be written as

y ≤  -2x +2 , here slope is -2 and intercept is 2

As an equation it will be

y = -2x +2

x         y

0 ,       2

1 ,       0

2         -2

The graph is plotted

The area is shaded and the test for the origin is applied , and it lies in the shaded region.

To know more about Inequality

https://brainly.com/question/20383699

#SPJ1

Answer:

C) 20cm

Step-by-step explanation:

Perimeter is the distance around the edge of the shape.

8 + 7 + 5 = 20

Answer:

20 is answer

Step-by-step explanation:

as perimeter= sum of all side

= 8 +7+5=2ocm