interval scales ? multiple choice they are the highest level scale. the standard deviation cannot be calculated for interval scales. they can measure absolute differences between scale points. they are less powerful than ordinal scales. they do not allow for comparison between measured objects.

Answer:

0.5

Step-by-step explanation:

Answer:

its 0.5 hope this helped

Step-by-step explanation:

Answer:

cindy is 51

Step-by-step explanation:

70 divided by 2 is 45

45+ 6 is 51

Answer:

approx 2960.53 minutes

Step-by-step explanation:

The range for the given data is 1.the median for the given data is 5 for Data: 5.25, 4.25, 5.01, 5.25, 4.35, 4.78, 4.99, 5.15, 5.21, 4.46

To calculate the range, we subtract the minimum value from the maximum value in the dataset.

Data: 5.25, 4.25, 5.01, 5.25, 4.35, 4.78, 4.99, 5.15, 5.21, 4.46

The minimum value is 4.25 and the maximum value is 5.25.

Range = Maximum value - Minimum value

      = 5.25 - 4.25

      = 1

Therefore, the range for the given data is 1.

To calculate the median, we first need to arrange the data in ascending order:

4.25, 4.35, 4.46, 4.78, 4.99, 5.01, 5.15, 5.21, 5.25, 5.25

Since the dataset has 10 values, the median is the average of the two middle values. In this case, the two middle values are 4.99 and 5.01.

Median = (4.99 + 5.01) / 2

      = 5 / 2

      = 2.5

Therefore, the median for the given data is 5.

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Answer:

4x^2−1

Step-by-step explanation:

Answer:

$ 1.35

Step-by-step explanation:

9 times 0.15 is 1.35

Answer:

A) -6x+3y = 27

B) -5x-3y = -16 We add the 2 equations

-11x = 11

x = -1

Putting 1 into equation B)

5 -3y = -16

-3y = -21

y = 7

Step-by-step explanation:

The dimensions of the box that maximize the volume are x = √700 and h = 100 / √700.

To find the largest possible volume of the box, we need to optimize the dimensions of the box. Let's denote the length of each side of the square base as x and the height of the box as h.

The surface area of the box consists of the area of the square base (x^2) and the four sides of the box (4xh). Since the box has an open top, we do not consider the top surface. The total surface area is given as 2100 square centimeters, so we have:

x^2 + 4xh = 2100

To maximize the volume, we need to express the volume of the box (V) in terms of a single variable. The volume of a rectangular prism is given by V = x^2h.

We can rewrite the equation for the surface area to solve for h:

h = (2100 - x^2) / (4x)

Now we can substitute this expression for h in the volume equation:

V = x^2 * [(2100 - x^2) / (4x)]

Simplifying, we have:

V = (1/4) * (2100x - x^3)

To find the maximum volume, we need to find the critical points of this function. We take the derivative of V with respect to x and set it equal to zero:

dV/dx = 2100/4 - (3/4)x^2 = 0

Solving this equation, we find:

2100/4 = (3/4)x^2

x^2 = 700

x = √700

Substituting this value back into the equation for h, we find:

h = (2100 - 700) / (4 * √700) = 1400 / (4 * √700) = 100 / √700

Therefore, the largest possible volume of the box is:

V = (1/4) * (2100 * √700 - 700 * √700) = 350√700 cubic centimeters.

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Answer:

20m

Step-by-step explanation:

Given the formula that modelled the height given as;

h=30+40t-5t^2

At t = 4s

h=30+40(4)-5(4)^2

h = 30+160-80

h = 160-60

h = 110m

At t = 2s

h=30+40(2)-5(2)^2

h=30+80-20

h = 110-20

h= 90m

Difference in height = 110-90 = 20m

Hence the height is 20m higher above the ground at 4s than at 2s

The vectors v = 6i - 3j and w = i + 2j are orthogonal.

To determine if the vectors v and w are orthogonal, we need to find their dot product. If the dot product is 0, the vectors are orthogonal.

Here are the steps to find the dot product of v = 6i - 3j and w = i + 2j,

1. Identify the components of the vectors: v = (6, -3) and w = (1, 2)

2. Multiply the corresponding components of the vectors:

\((6 \times 1) + (-3 \times 2) = 6 - 6 \)

3. Add the products: 6 - 6 = 0 Since the dot product is 0, the vectors v = 6i - 3j and w = i + 2j are orthogonal.

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Correct question is " Are these vectors orthogonal? v = 6i - 3j and w = i+2j"

Answer:

when giving a rate you need to get a unit rate which is a fraction with a 1 on top then you would divide by the same number as the number if you have 6/6 then divide by 6

Step-by-step explanation:

Answer:

The initial height would be the intersection between the line and the y-axis, or the y-intersect

Step-by-step explanation:

Initial height means the height before any time has passed, so the x-axis representing time must have a value of 0. Because of this the initial height is the y-intercept.

Answer:

Z max  = 1500

x₁  = 15

x₂ = 0

Step-by-step explanation:

From problem statement:

                                                      Plant A              Plant B     Profit $/each

Product 1 (Doors )          x₁                  2                          4            100

Product  2 (windows )   x₂                  3                           4              80

Product  2 (windows )   x₂   above 10 is scrap

Objective function to maximize

z = 100*x₁   +  80*x₂

Subject to:

Plant A capacity

2*x₁ + 3*x₂   ≤  40

Plant B capacity

4*x₁  + 4*x₂  ≤ 60

Windows condition:

0*x₁  + x₂  ≤  10

Model:

Max      z  =  100*x₁   +  80*x₂

Subject to:

2*x₁ + 3*x₂   ≤  40

4*x₁  + 4*x₂  ≤ 60

              x₂ ≤ 10

x₁ , x₂ ≥  0    and integers

Afther 6 iterations using Simplex Solver AtomZmath

Z max  = 1500

x₁  = 15

x₂ = 0

Answer:

10 pounds

Step-by-step explanation:

given ratio weight:added weight=10:1

100:x=10:1

100/x=10/1

solving for x

100=10x

x=10

Answer:

What composite solid? Add a picture man

Answer:

35.0 cm (to 3 significant figures)

Step-by-step explanation:

Circumference of a circle = 2d (where d is the diameter).

Since the rectangle is inscribed in the circle (all 4 vertex touch, but not intersect, the circumference of the circle), we can see that the diameter of the circle is in fact the diagonal of the rectangle.

Therefore, to calculate the circumference we need to find the diagonal of the rectangle and plug it into the above formula.

To find the diagonal, we use Pythagoras' Theorem a² + b² = c²  (where a and b are the legs, and c is the hypotenuse of a right angled triangle).

From inspection, the diagram has given us the lengths of the legs as 9cm and 15cm.  So:  

 9² + 15² = c²

81 + 225 = c²

      306 = c²

             c = √306 = 3√34

Therefore, the diameter of the circle = 3√34 cm

Circumference = 2d

                         = 2 x 3√34

                         = 6√34

                         = 35.0 cm (to 3 significant figures)

The number of solution for the equation  x₁ + x₂ + x₃ = 14 where x₁ , x₂ , x₃  are integers for different condition are

a. 91 solution for each variable greater than or equal to zero

b. 66 solution when each variable greater than or equal to one.

Total number of solution for the equation x₁ + x₂ + x₃ = 14.

a. Each variable x₁ , x₂, x₃ is an integer greater than or equal to zero.

When x₁ = 0 and x₂ , x₃ have different values

0 + 0 + 14 = 14

0 + 1 + 13 = 14

0 + 2 + 12 = 14

0 + 3 + 11 =14

0 + 4 + 10 =14 .......so on

0 + 13 + 1 = 14

Total outcome = 14

Two place needs to be fill one place is fixed by certain number.

Total number of possible solution is equal to

= ¹⁴C₂

= ( 14! ) / ( 14 - 2 )! 2!

= ( 14 × 13 ) / ( 2 × 1 )

= 7 × 13

= 91

b. Each integer is an integer greater than or equal to one

When x₁ = 1 and x₂ , x₃ have different values

1 + 1+ 12 = 14

1 + 2 + 11 = 14

1+ 3 + 10 =14

1 +4 + 9 =14 .......so on

1+ 12 + 1 = 14

Total outcome = 12

Total number of possible solution when each variable is greater than or equal to 1

= ¹²C₂

= ( 12! ) / (12 - 2)! 2!

= ( 12 × 11 ) / 2

= 66

Therefore , total number of solution for the equation having integer variable x₁ + x₂ + x₃ = 14 is

a. Each variable greater than or equal to zero has 91 solution.

b. Each  variable greater than or equal to one has 66 solution.

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When the above complex expression has been simplified the solution to the above expression is = 2003/8016.

The formula is given as:

1 - \(\frac{1}{n}\) = \(\frac{n-1}{n}\)

From the stated express, we have:

(1 - (1/2)) * (1 - (1/3)) * (1 - (1/4)) *( 1 - (1/2004))

→ ((2-1)/2)  ((3-1)/3) ((4-1)/4) ((2004 -1)/2004)

→ (1/2) * (2/3) * (3/4) * (2003/2004)

→ \(\frac{ 1* 2003}{4*2004}\)

= 2003/8016

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Answer:

When the above complex expression has been simplified the solution to the above expression is = 2003/8016.

What is the formula for solving the above?

The formula is given as:

1 -  =

From the stated express, we have:

(1 - (1/2)) * (1 - (1/3)) * (1 - (1/4)) *( 1 - (1/2004))

→ ((2-1)/2)  ((3-1)/3) ((4-1)/4) ((2004 -1)/2004)

→ (1/2) * (2/3) * (3/4) * (2003/2004)

→

= 2003/8016

Step-by-step explanation:

The given condition can be modeled by the compound inequality:

x < -3 or x > 3.

We want to find an inequality that describes the next condition:

"All real numbers X with an absolute value of greater than three"

So our variable will be X, and the absolute value of X is written as:

|X|

We want to have an absolute value larger than 3, so we can write the inequality:

|X| > 3.

The absolute value part can be separated into two, such that we will get two inequalities:

x > 3

x < -3

So the inequality that illustrates the given condition is the compound inequality:

x < -3 or x > 3.

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The value of f(5) for the given function is -6.

What is a sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms).

A heuristic, on the other hand, is an approach to problem-solving that seeks to come up with a workable answer quickly rather than promising an ideal or even accurate solution.

When an algorithmic solution is not viable, useful, or effective, heuristics are frequently applied.

Given that, f(1)=6 and  f(n)=f(n−1)−3 thus we have:

f(2) = f(1) - 3 = 6 - 3 = 3

f(3) = f(2) - 3 = 3 - 3 = 0

f(4) = f(3) - 3 = 0 - 3 = -3

f(5) = f(4) - 3 = -3 - 3 = -6

Hence, the value of f(5) for the given function is -6.

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We have the next expression

if t=60

Then we evaluate the expression with the value of t given

the result is 347

Answer:

(-11, 1)

Step-by-step explanation:

x-values are horizontal and y-values are vertical

so add -4 to -7 to get -11

add 0 to 1 to get 1

new point is at (-11,1)

Let x be the minimum number of cars Ken has to wash to reach his goal, then we can set the following linear equation:

Solving the above equation for x, we get:

Rounding up to the nearest whole number we get:

As per the concept of regression, the best predicted value of given that the has an IQ is 106.2

What is meant by regression?

In math, regression refers a powerful statistical method that allows you to examine the relationship between two or more variables of interest

Here we have given that suppose IQ scores were obtained for randomly selected sets of . The pairs of measurements yield , , r , P-value 0.000, and , where x represents the IQ score of the .

And we need to find the best predicted value of given that the has an IQ.

While we looking into the given question we know that the a significance level is 0.05.

Then by using regression equation

=> ŷ=14.68+0.88x​

And now we have to plug in IQ, which is x

=> 14.68 + 0.88(104)

=> 106.2

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The family of parabolas represented by  \( f(x) = a(x-4)(x+2) \) share several characteristics that include the shape of a parabolic curve, the vertex at the point (4, 0), and symmetry with respect to the vertical line x = 1.

The value of the parameter a determines the specific properties of each parabola within the family.

All parabolas in the family have a U-shape or an inverted U-shape, depending on the value of a. When a > 0, the parabola opens upward, and when a < 0, the parabola opens downward. The vertex of each parabola is located at the point (4, 0), which means the parabola is translated 4 units to the right along the x-axis.

Furthermore, the family of parabolas is symmetric with respect to the vertical line x = 1. This means that if we reflect any point on the parabola across the line x = 1, we will get another point on the parabola.

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Answer:

16.4200739.....

Step-by-step explanation:

this full explanation is in Calculator

..

The distance from the center of dilation, Q, to the image of vertex A will be 4 units.

According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.

Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.

By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x  3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.

Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.

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Answer:

Step-by-step explanation:I’m the Globglogabgalab, I love books

And this basement is a true treasure trove

I am the Glob-glo-gab-galab

The shwabble-dabble-wabble-gabble flibba blabba blab

I’m full of shwibbly liber-kind

I am the yeast of thoughts and minds

Shwabble dabble glibble glabble schribble shwap glab

Dibble dabble shribble shrabble glibbi-glap shwap

Shwabble dabble glibble glabble shwibble shwap-dap

Dibble dabble shribble shrabble glibbi-shwap glab

Ooh, ha ha ha, mmm, splendid

Simply delicious

Ohm, ha ha ha ha

i so sorry

The simplified value of the expression given as 7^(3 +12)/7^5  is 7^10

From the question, we have the following parameters that can be used in our computation:

7^3+^12-^75

Expess properly

So, we have the following representation

7^(3 +12)/7^5

Evaluate the sum of the exponents

So, we have the following representation

7^15/7^5

When the exponents are simplified, we have

7^10

Hence, the simplified expression of 7^(3 +12)/7^5  is 7^10

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