A shoe store has 23 pairs off white tennis shoes out of 90 pairs of shoes. Estimate the percent of white tennis shoes

The researchers are investigating the perception of three-dimensional shapes on computer screens and specifically examining the components of a square figure or cube necessary for viewers to perceive details of the shape. They vary the stimuli to include fully rendered cubes, cubes with incomplete sides, and cubes with missing corner information. Four participants are recruited for an intense study, and their accuracy rates are measured across the three figure conditions. The trials are presented in different orders for each participant using a random-numbers table to determine unique sequences.

In this study, the researchers are interested in understanding how viewers perceive details of three-dimensional shapes on computer screens. They manipulate the stimuli by presenting fully rendered cubes, cubes with incomplete sides, and cubes with missing corner information. By varying these components, the researchers aim to identify which elements are necessary for viewers to accurately perceive the shape.

Four participants are recruited for an intense study, indicating a small sample size. While a larger sample size would generally be preferred for generalizability, intense studies often involve fewer participants due to the time and resource constraints associated with conducting a large number of trials. This approach allows for in-depth analysis of individual participant performance.

The participants are trained on how to detect subtle deformations in the shapes, which suggests that the study aims to assess their ability to perceive and discriminate fine details. After the training, the participants' accuracy rates are measured across the three different figure conditions, likely reported as a percentage of correctly identified shape details.

To minimize potential biases, the trials are presented in different orders for each participant, using a random-numbers table to determine unique sequences. This randomization helps control for order effects, where the order of presenting stimuli can influence participants' responses.

The researchers in this study are investigating the perception of three-dimensional shapes on computer screens. By manipulating the components of square figures or cubes, they aim to determine which elements are necessary for viewers to perceive shape details accurately. The study involves four participants, an intense study design, and measures accuracy rates across different figure conditions. The use of randomization in trial presentation helps mitigate potential order effects.

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Answer:

200 in²

Step-by-step explanation:

To find the area, you need to split it into two squares. The upper square would be 10 inches times 10 inches which would give you 100 inches squared. Since both are the same size, you can add both square areas together to give you 200 inches squared.

The probability that a child is not allergic to nuts is 0.986, or 98.6%.

The probability that a child is not allergic to nuts can be calculated by subtracting the probability of being allergic to nuts from 1.

Given the probabilities of a child being allergic to nuts, dairy, and gluten, we are interested in finding the probability that a child is not allergic to nuts.

The probability of being allergic to nuts is given as 0.014.

To find the probability that a child is not allergic to nuts, we subtract this value from 1.

P(Not allergic to nuts) = 1 - P(Allergic to nuts) = 1 - 0.014 = 0.986

Therefore, the probability that a child is not allergic to nuts is 0.986, or 98.6%.

This calculation is based on the assumption that being allergic to nuts and being allergic to other foods are independent events.

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Answer:

Step-by-step explanation:

The equation for this surf instructors' price would be y = 8x + 12.

The y-intercept would be located at (0,12) as that is the initial price that the instructor charges before pricing hourly.

Hope this helps, but if you have any questions, please let me know. :)

Answer:

I'm working during the same thing

The evaluation of the proportional relationship and the graph of the proportional relationships are presented as follows;

Set 1

(1) Please find attached the graph showing the change in the polar bear's distance over time, created with MS Excel

The polar bear swims 1.5 meters in 1 second

(2) The slope of the line is 1.5

Set 2

(1) y = 2·x

(2) y = 5·x + 2.5

Please find attached the graph of the equations in question (3) (y = -2·x), and question (4), (y = (1/2)·x - 3, created with MS Excel

A proportional relationship is one in which there is an equivalent ratio between the output variable and the input variable.

Set 1

(1) The distance the polar bear swims in 8 seconds = 12 meters

The relationship between the change in the distance swam by the polar bear with time is a proportional relationship of the form, x = v·t

Where;

x = The distance the bear swam

t = The time duration

The constant of proportionality, v = x/t is the speed, which is the distance the polar bear swims in 1 second

Where x = 12 meters and t = 8 seconds, we get;

v = (12 m)/(8 s) = 1.5 m/s

Please find attached the completed graph that shows the change in the polar bears distance with time, created with MS Excel

(2) The equation that can be used for finding the slope, m, of a line with known points (x₁, y₁) and (x₂, y₂) is presented as follows;

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Whereby the points on the line are; (10, 55), and (15, 62.5), we get;

(x₁, y₁) = (10, 55)

(x₂, y₂) = (15, 62.5)

m = (62.5 - 55)/(15 - 10) = 1.5

Set 2;

(1) The points on the line are; (1, 2), (0, 0)

The slope of the line is; 2/1 = 2

The coordinates of the y-intercept of the line is (0, 0)

(2) The points on the line are; (0, 2.5), (1.5, 10)

The slope of the line is therefore; m = (10 - 2.5)/(1.5 - 0) = 5

The coordinate of the y-intercept is; (0, 2.5)

(3) The possible equation in the question is; y = -2·x

The equation with a y-intercept of (0, 0), indicates a proportional relationship, therefore, the points on the graph can be obtained using the following table;

x \({}\)    y

0 \({}\)   0

1 \({}\)   -2

2 \({}\)  -4

3 \({}\)  -6

4 \({}\)  -8

(4) The equation is; y = (1/2)·x - 3

The points on the graph of the equation are found as follows;

x \({}\)       y

0 \({}\)      (1/2)×0 - 3 = -3

1 \({}\)       (1/2)×1 - 3 = -2.5

2 \({}\)      (1/2)×2 - 3 = -2

3 \({}\)      (1/2)×3 - 3 = -1.5

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Answer:

27.3

Step-by-step explanation:

47 + 79 = 126

180 - 126 = 54

m∠F= 54∘

then use the sine rule

looks like if you were solving a ratio problem

30.2/sin of 54∘ = g/sine of 47∘

30.2/.809 = g/.7314

.809g = 30.2 times .7314

.809g = 22.08828

g = 22.08828/.809 =

27.3031891224

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Answer: y = 1.73*x - 0.46

Step-by-step explanation:

For a linear equation of the form:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we have an angle of A degrees with respect to the x-axis, the slope of the function can be calculated as:

Tan(A) = a.

in this case, we have we have an inclination of 30° to the positive x-axis (measured from the positive y-axis) and we know that the angle between the positive x-axis and the positive y-axis is 90°, then the angle measured from the positive axis will be such that:

A + 30° = 90

A = 90° - 30° = 60°

Then the slope is:

a = Tan(60°) = 1.73

Then we have the equation:

y = 1.73*x + b

And we know that this line passes through the point (2, 3) then we can replace x by 2 and y by 3 in the equation, and find the value of b.

3 = 1.73*2 + b

3 - 1.73*2 = b = -0.46

Then the equation is:

y = 1.73*x - 0.46

Polynomials are  closed under the operations of addition, subtraction, and multiplication, polynomials constitute a system similar to that of integers.

Polynomial exponents are whole numbers.

The fact that addition is closed for the whole numbers ensures that the resultant exponents will also be whole numbers. Polynomials are hence closed under addition.

Polynomials will be closed under an operation if the operation produces another polynomial.

If we subtract 2 polynomials, the result is a polynomial. Therefore, they are also closed under subtraction.

Polynomials are an algebraic equation that has more than two terms, particularly the accumulation of numerous phrases that each include a different power of the same variable (s).

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Answer:

1)  Alternating Interior angels       supplementary

2) Corresponding angels             congruent

3) Alternating Interior Angles       congruent     93º

4)  Alternating Interior Angles       congruent    96º if it says 96º on the paper it's blurry

Step-by-step explanation:

A system of equations that model each farmer's kents as days increase: y = 41 + 6x (farmer Naxvip)

y = 115 - 3x (farmer Boondin)

In this question, we have been given farmer Naxvip started with 41 kents on hos farm. Everyday he collected 6 more of them.

And farmer Boondin started with 115 kents on hos farm. Everyday he destroyed 3 more of them.

We need to write a system of equations in slope intercept form to model each farmer's kents as days increase.

Let y be the farmer's kents and x be the number of days.

The slope intercept form : y = mx + c

where m is the slope and c is the y-intercept.

For farmer Naxvip's kents we get an equation,

y = 41 + 6x

For farmer Boondin's kents we get an equation,

y = 115 - 3x

Therefore, a system of equations that model each farmer's kents as days increase: y = 41 + 6x (farmer Naxvip)

y = 115 - 3x (farmer Boondin)

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Answer:

15kg, 22.5kg and 52.5kg

Step-by-step explanation:

2 + 3 + 7 = 12

Small bag = 2/12 × 90kg = 15kg

Medium bag = 3/12 × 90kg = 22.5kg

Large bag = 7/12 × 90kg = 52.5kg

Answer:

\(\theta \approx 61.93\textdegree\)

Step-by-step explanation:

We can solve for the measure of angle θ in this right triangle using the trigonometric ratio sine, which uses the opposite and hypotenuse sides.

\(\sin(\theta) = \dfrac{\text{opposite}}{\text{hypotenuse}}\)

↓ plugging in the given values

\(\sin(\theta) = \dfrac{15}{17}\)

↓ taking the inverse tangent of both sides

\(\sin^{-1}\left(\dfrac{}{}\sin(\theta)\dfrac{}{}\right) = \sin^{-1}\left(\dfrac{15}{17}\right)\)

↓ canceling the inverse functions on the left side ... \(f^{-1}\left(\dfrac{}{}f(x)\dfrac{}{}\right) = x\)

\(\theta = \sin^{-1}\left(\dfrac{15}{17}\right)\)

↓ evaluating using a calculator

\(\theta \approx 61.93\textdegree\)

Answer:

If both expressions have the same value after substituting and simplifying two different values for the variable, then they are  

✔ equivalent

.

!Step-by-step explanation:

hop3 it helped

Elizabeth will take 9 hours and 45 minutes to catch up with Duane using the given speed-distance-time values.

The speed-distance-time relations are:

Speed = Distance/Time, Distance = Speed*Time, and Time = Distance/Speed.

The distance traveled by Duane on the bike at 14 miles per hour for 3 hours = 14*3 miles = 42 miles.

The time that Elizabeth takes to cover 42 miles jogging at 5 miles per hour = 42/5 hours = 8.4 hours.

The distance traveled by Duane in the extra time which Elizabeth took to reach his bike (8.4 - 3 = 5.4 hours) walking at 2 miles per hour = 2*5.4 = 10.8 miles.

Now, the distance between Elizabeth and Duane is 10.8 miles, before Elizabeth starts riding the bike.

Keeping the distance constant, we calculate the relative speed to calculate the time to cover this distance.

Relative speed = Elizabeth's speed - Duane's speed {As Elizabeth is moving towards Duane, that is, covering the distance but Duane is moving away from Elizabeth, that is, increasing the distance}.

or, Relative speed = 10 - 2 = 8 miles per hour.

Time taken to cover the distance = 10.8/8 = 1.35 hours.

Therefore, the total time taken by Elizabeth to catch up with Duane = 8.4 + 1.35 hours = 9.75 hours or 9 hours and 45 minutes.

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Answer:

Slope = 1

Step-by-step explanation:

While there are multiple methods to deducing slope, the one I used for this equation is y/x. Starting at the y-intercept, draw a line up as many increments until you align horizontally with another point. Then, draw a line horizontally (towards the line) until you meet that point. Continue this pattern up the line. Each movement will fall in a patterned number, such as 3 up and 1 left or right. 'Up' becomes 'Y' as you are moving on the y-axis, and 'horizontally' or 'left/right' becomes 'X' as you are moving on the x-axis. Pull these numbers into the fraction y/x. If the fraction equals a whole number, translate the fraction into that number. If not, keep it in fraction form (such as 1/3 or 1/4). In this instance, it would become 3/1 and then 3. This number is now your slope.

Here I attached the same practice to your graph (in desmos) and showed how it becomes 1/1 and then 1.

Answer:

423.73

Step-by-step explanation

Answer:

Step-by-step explanation:

The solution to\(4\frac{x^\frac{4}{3} }{\frac{4}{3} } -10\frac{x^\frac{2}{3} }{\frac{2}{3} }\) the given initial value problem is v(x) = \(3x^\frac{4}{3} -15x^\frac{2}{3}+51\).

Given that:

v'(x) = \(4x^\frac{1}{3} -10x^{\frac{-1}{3}\)

dv/dx = \(4x^\frac{1}{3} -10x^{\frac{-1}{3}\)

Multiply both sides by dx.

dv = (\(4x^\frac{1}{3} -10x^{\frac{-1}{3}\))dx

Integrate both sides.

v(x) = ∫(\(4x^\frac{1}{3} -10x^{\frac{-1}{3}\)) dx

      = \(4\frac{x^\frac{4}{3} }{\frac{4}{3} } -10\frac{x^\frac{2}{3} }{\frac{2}{3} }+C\)

      = \(3x^\frac{4}{3} -15x^\frac{2}{3}+C\)

Now, it is known that, v(8) = 39.

\(3(8)^\frac{4}{3} -15(8)^\frac{2}{3} +C=39\)

Simplifying,

-12 + C = 39

C = 51

Hence, the solution for the problem is v(x) = \(3x^\frac{4}{3} -15x^\frac{2}{3}+51\).

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Answer:

1,460

Step-by-step explanation:

Answer:

Step-by-step explanation:

(0+2)/(0-10)= 2/-10 = -1/5

y - 0 = -1/5(x - 0)

y = -1/5x

solution is D

Answer:

y= -1/2x +9

Step-by-step explanation:

The line equation of best fit is y = (-1/2)x+9 if the two points on the line are (2,8) and (8,5) option (C) is correct.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have two points (2, 8) and (8, 5)

To find the line of best fit using these two points:

\(\rm (y-y_1)=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\)
\(\rm (y-8)=\frac{5-8}{8-2} (x-2)\)

\(\rm (y-8)=-\frac{3}{6} (x-2)\\\\\rm (y-8)=-\frac{1}{2} (x-2)\)

\(\rm y = - \frac{1}{2} x +9\)

Thus, the line equation of best fit is y = (-1/2)x+9 if the two points on the line are (2,8) and (8,5) option (C) is correct.

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Answer:

2.8×105

Step-by-step explanation:

(8.2 x 105) – (5.4 x 105)

=(861)-(567)

=294

•2.8×105=294

Therefore the answer is 2.8×105

Answer:

start with multiplying the brackets

8.2×105= 861

5.4×105=567

the subtract

861-567= 294

answer =294

The algebraic expression which would not have the same meaning if the number and variable were reversed is; m-k.

It follows from the associative property of real numbers that changing the grouping of adding or multiplying real numbers does not change the result.

Hence, only the expression with the subtraction sign will change as a result of reversing the number and variable.

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Answer:

\(Scale factor = \frac{1.7}{6.1} = 0.2786885 \)