write down the nth term of the sequence

a)-2,-1,0,1

b)3,5,7,9

c)7,5,3,1​

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

32.9

Step-by-step explanation:

233 * %14.1 = 233*.141=32.9

Answer:

x=4

Step-by-step explanation:

Explanation:

As

x

and

y

are inversely proportional, the equation can be represented as

x

=

k

y

.

Substituting

x

=

2

and

y

=

12

, we get

2

=

k

12

=>

k

=

12

⋅

2

=>

k

=

24

.

Equation can be represented as

x

=

24

y

. So, when

y

=

6

, we get

x

=

24

6

=>

x

=

4

Answer:

3.75 feet

Step-by-step explanation:

The length of the frame is 3 times the width.

Let the width be x.

The length will be 3x.

Kyle uses 10 feet of wood to make the frame. This means that the perimeter is 10 feet.

The perimeter of a rectangle is:

P = 2(L + W)

=> 10 = 2(3x + x)

=> 10/2 = 4x

5 = 4x

=> x = 5/4 = 1.25 feet

The width is 1.25 feet. The length is therefore:

1.25 * 3 = 3.75 feet

Answer:

A

Step-by-step explanation:

as it is a reflection (as in a mirror or in a lake, or ...), the distances from either side of the mirror must be equal.

Answer:

c

Step-by-step explanation:

the surface area for spheres is

4 × π × r²

4 × π × (7²) = 196 π

The fraction is 12/35.

From the information, it was stated that Manuel does 3/7 of the task while Carlos did 4/5 of what Manuel did.

Therefore, the fraction that was done by Carlos will be:.

= 4/5 × 3/7

= 12/35

The fraction is 12 / 35.

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The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.

To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;

V = fλ

where

V = displacement/time

F = 1/T

But;

Displacement = 10 in

Time = 2 seconds

V = 10/2 = 5 in/s

F = 1/2 = 0.5

λ = 5/0.5 = 2.5in

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Answer: 4x√5

Step-by-step explanation:

√2x • √40x=

√(2*40*x*x)=

√80x^2=

√(16*5x^2)=4x√5

Answer:

Danielle score must be 18

Answer:

  (d)  19

Step-by-step explanation:

The average of a set of numbers is their sum, divided by the number of numbers in the set.

Let s represent the score Danielle must get on her sixth test. Then her average will be ...

  average = (17 +19 +20 +14 +16 +s)/6

Danielle wants that to be 17.5, so we have ...

  17.5 = (86 +s)/6

Multiplying by 6, we get ...

  105 = 86 +s

  19 = s . . . . . . . . subtract 86

Danielle must score 19 on her 6th test to have a mean of 17.5.

__

Additional comment

We can also figure this by considering the deviations from the average Danielle wants. They must total zero. The sum of deviations of the given scores is ...

  (17 -17.5) +(19 -17.5) +(20 -17.5) +(14 -17.5) +(16 -17.5)

  = -0.5 +1.5 +2.5 -3.5 -1.5 = -1.5

To bring the total to zero, Danielle must score 17.5 +1.5 = 19.

From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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Answer:

alright this is an easy question to do u have to use the Pythagorean theorem which is a²+b²=c²

so put the number of the triangle in this form for #1

Step-by-step explanation:

1.6²+9²=8²

=117=64

2.5²+13²=12²

=194=144

Answer:

Step-by-step explanation:

To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.

The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:

x-coordinate of C' = 1111 * 8 = 8888

y-coordinate of C' = 1111 * 8 = 8888

Therefore, the coordinates of point C' are (8888, 8888).

Answer:

the correct choice is A and the solutions are -4 and 0.25.

Step-by-step explanation:

Answer:

Option A.  x = -4, or x = 1/4

Step-by-step explanation:

The question directs us to use the quadratic formula to solve the equation.

The quadratic formula applies for a one-variable quadratic equation in the form \(ax^{2} +bx+c=0\), and gives solutions \(x=\dfrac{-b \pm \sqrt {b^2 -4ac}}{2a}\)

Since the equation given in the question, \(-4x^{2} -15x+4=0\), is in the required form, with \(a=-4, ~~b=-15,~\text{and}~~c=4\), then the solutions are given by the formula:

\(x=\dfrac{-b \pm \sqrt {b^2 -4ac}}{2a}\)

\(x=\dfrac{-(-15) \pm \sqrt {(-15)^2 -4(-4)(4)}}{2(-4)}\)

\(x=\dfrac{15 \pm \sqrt {225 +64}}{-8}\)

\(x=\dfrac{15 \pm \sqrt {289}}{-8}\)

\(x=\dfrac{15 \pm 17}{-8}\)

\(x=\dfrac{15 + 17}{-8},~~\text{ or }~~x=\dfrac{15 - 17}{-8}\)

\(x=\dfrac{32}{-8},~~\text{ or }~~x=\dfrac{-2}{-8}\)

\(x=-4,~~\text{ or }~~x=\frac{1}{4}\)

Answer:

A

Step-by-step explanation:

\(\frac{5}{6}\cdot \frac{1}{2}=\frac{5}{12}\)

Multiply top and bottom, on the top we get 5*1 which is 5 and on the bottom we get 6*2 which is 12.

Answer: B

Step-by-step explanation:

We can triple all the coordinates, so:

\(A'=(3 \cdot 3, 3 \cdot 3)=(9, 9)\\B'=(6 \cdot 3, 6 \cdot 6)=(18, 18)\\C'(9 \cdot 3, 3 \cdot 3)=(27, 9)\)

Answer:

d

Step-by-step explanation:

believe me it's d because it says it in the text above u just have to read it carefully

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Answer:

x + y - 4 = 0

Hope this helps, if you need more of an explanation feel free to let me know!

Answer:

A. complete your work honestly and only submit work that is your own.

Answer:A

Step-by-step explanation:

Because it’s trust me

The given modeled function is R(x)=26+1.5x

where R(x) is the number of hours spent reading a book over a month

and x is the number of hours a person spends at the library over the course of a month.

Representing R(x) on the y-axis and x on the x-axis,

Puttinv x=0 to get the R(x) intercept as

R=36+1.5 x 0 = 36

So, (0,36) ia a point.

Determining other-point by putting any arbitrary value of x other than 0.

Putting x=2, to get the other point

R=36+1.5 x 10 =51

So, the other point is (10,51).

Now, joining both the points to get the graph of the given linear equation as shown in the figure.

Answer:

(0,26) (4,32)

Step-by-step explanation:

The function R(x)=26+1.5x is a linear equation, so its graph is a straight line that can be drawn by plotting 2 points and connecting them.

Its R intercept occurs when x=0, so

y(0)=26,

and (0,26) is the R-intercept.

To find another point, plug in another x value into the function y(x). For example, when x=4, we have

R(4)=26+1.5(4)=32.

So, (4,32) is another point on the graph of R(x).

Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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Answer:

Step-by-step explanation:

step 1:

determining the values for standard form for the equation of a line,

y = mx + c

Step 2:

calculation of m, where m is the gradient or slope which determines how steep the line is.

step 3:

calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept

Answer:

x > 2

Step-by-step explanation:

-1+6(-1-3x)>-39-2x

-1-6 - 18x > -39 - 2x

-7 - 18x + 2x > -39 - 2x + 2x

-7 - 16x + 7 > -39 + 7

16x / 16 > -32 / 16

x > 2

Answer:

B = 900 Libros

A = 2700 Libros

C = 1800 Libros

Step-by-step explanation:

A = 3B

2B = C

A + B + C = 5400

3B + B + 2B = 5400

6B = 5400

B = 5400 / 6

B = 900 Libros

A = 3B

A = 3(900)

A = 2700 Libros

C = 2B

C = 2(900)

C = 1800 Libros

Answer:

18

Step-by-step explanation:

6×4 +2 :2 - 7

24 +1 - 7

25 - 7

18

1 step 6×4

2step 2:2

3step 24 +1

4step 25 - 7

Answer:

18

Step-by-step explanation:

6 × 4 + 2 ÷ 2 - 7

24 + 1 - 7

25 - 7

= 18

thanks

Answer:

n < 9

Step-by-step explanation:

Solving an inequality is just like solving an equation, one uses inverse operations. The only difference is that when one multiplies or divides by a negative number, one must remember to flip the inequality sign to ensure that the expression remains true.

\(-6 n > 54\)

\(/ (-6)\)

\(n < 9\)

Answer:

The valid formula for the surface area are;

Explanation:

Given the regular pyramid with;

The total surface area is the sum of the Base area and the Lateral area.

And the formula for calculating the lateral area of the pyramid is;

substituting LA into the formula above;

The valid formula for the surface area are;

Equation for the monthly wage will be → W = 0.07S + 5000

   Given in the question,

Let the total sales of a month = $S

Therefore, commission on this sale = 7% of $S

                                                            = $0.07S

Salary of the month = $5000

Total earnings (W) of the sales person = $(0.07S + 5000)

     Therefore, equation for the monthly wage will be,

W = 0.07S + 5000

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Answer:

The height of the monument is 124.8 ft

Step-by-step explanation:

Right Triangles

The ratios of the sides of a right triangle are called trigonometric ratios. The tangent ratio is defined as:

\(\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}\)

The figure attached below shows the different distances involved in the problem. We heed to find the value of h, the height from Daniel's eyes. Then we'll add it to the 6 ft where his eyes are located from the ground.

Taking the angle of 68° as a reference:

\(\displaystyle \tan 68^\circ=\frac{h}{48}\)

Solving for h:

\(\displaystyle h=48\tan 68^\circ\)

Calculating:

h = 118.8 ft

The height of the monument is 118.8 ft + 6 ft = 124.8 ft