A graph titled men's shoes has height (inches) on the x-axis, and shoe size on the y-axis. A trend line goes through points (64, 7) and (70, 9.5). Kardal used the trend line to predict that a man 72 inches tall would wear about a size 10.5 shoe. What can be concluded about this prediction? Check all that apply. The prediction is not reasonable. The prediction is an interpolation. No data is given in the scatterplot for a height of 72 inches, but a shoe size can still be predicted. A prediction cannot be made without the linear regression equation. A 72-inch tall man will wear a size 11.5 shoe.

Answer:

800

Step-by-step explanation:

9 goes into 72 eight times, nine goes into 0 zero times

The complete statement is as follows:

The quotient of, 7200/9 = 800.

Quotient is the result which we get by dividing the one number by the other.

Where, the number which is getting divided is known as 'dividend'  and the number which divides the dividend is known as 'divisor'.

So,

Quotient = Dividend ÷ Divisor.

Or,

\(\text{Quotient} = \frac{\text{Dividend}}{\text{Divisor}}\)

In 7200÷9, 7200 is dividend and 9 is divisor. We have to find the quotient.

Applying the division on 7200 by 9.

Since, 9 is very less than 72. Take the first 2 digits.

72÷9 = 8

There is no remainder.

Now, take three digits:

720÷9 = 80

Still no remainder is here.

Move to the last digit (0) and apply division.

7200÷9 = 800

No remainder is there.

That means the quotient of, 7200 divided by 9 is 800.

Hence, the quotient of 7200/9 = 800.

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Answer:

Step-by-step explanation:

Inscribed angle is half the intercepted arc measure.

1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters

2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters

Since we know that the wavelength = speed of light / frequency

The speed of light is 3.00 × \(10^8\) meters per second.

For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;

wavelength of A = (3.00 ×  \(10^8\)  m/s) / (4.30 × 10^15 Hz)

wavelength of A = 6.98 ×  \(10^{-8}\) meters

For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;

wavelength of B = (3.00 ×  \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)

wavelength of B = 3.45 ×  \(10^{-11}\)  meters

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Answer:

6/7

Step-by-step explanation:

6/7 is not an integer.  Integers are {..., -3, -2, -1, 0, 1, 2, 3, ...}.

The probability that the number among the 30 who received a special accommodation is 0.2939.

a)  probability that exactly 1 received a special accommodation = P(x=1)

= ³⁰C ₁ × (0.04) × (0.96) ²⁹ = 0.3673

b) probability that at least 1 received a special accommodation = P(x ≥ 1) = 1 - P(x = 0)

= 1 - [ ³⁰C₀ × (0.04)⁰ × (0.96)³⁰ = 0.7061

c) probability that at least 2 received a special accommodation

= P(x ≥ 2)

= 1 - [P(x = 0) + P(x =1)]

= 1 - [ ³⁰ C ₀ × (0.04)⁰ × (0.96)³⁰ + ³⁰ C ₁ × (0.04)¹ × (0.96)²⁹

= 0.3388

d) probability that the number among the 30 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated ;

= P( x ≤ 1)

= P( x = 0)

= 0.2939

e) expected average time = 0.04 x 4.5 + 0.96 x 3 = 3.06 hours

Therefore, we get that, the probability that the number among the 30 who received a special accommodation is 0.2939.

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Your question was incomplete. Please refer the content below:

Suppose that 4% of the 2 million high school students who take the SAT each year receive special accommodations because of documented disabilities. Consider a random sample of 30 students who have recently taken the test. (Round your probabilities to three decimal places.)

(a) What is the probability that exactly 1 received a special accommodation?

(b) What is the probability that at least 1 received a special accommodation?

(c) What is the probability that at least 2 received a special accommodation?

(d) What is the probability that the number among the 30 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated?

(e) Suppose that a student who does not receive a special accommodation is allowed 3 hours for the exam, whereas an accommodated student is allowed 4.5 hours. What would you expect the average time allowed the 30 selected students to be? (Round your answer to two decimal places.)

Answer:

Step-by-step explanation:

2(-4) - 3(-2) = -2

 -8 + 6 = -2

   -2 = -2

Sum of multiplied differences= -962.676 and β1 = -962.676 / ((-18.381)^2 + (22.619)^2 + (-13.381)^2 + (-10.381)^2 + (10.619)^2 + (2.619)^2 + (28.619)^2 + (-17.381)^2 + (-17.381)^2 + (-9.381)^2 + (0.619).

To estimate the parameters of the model, we can use the following steps:

Calculate the mean of the first test scores and the mean of the second test scores.

Calculate the difference between each student's first test score and the mean first test score, and the difference between each student's second test score and the mean second test score.

Multiply the differences from step 2 together for each student, and sum the results.

Divide the sum from step 3 by the sum of the squares of the differences from step 2. This will give us the value of β1.

Calculate β0 by substituting the values of β1 and the mean first and second test scores into the equation: Second Test Grade = β0 + β1(First Test Grade)

Using these steps, we can calculate the estimates of the parameters as follows:

Mean first test score = (50+91+55+58+79+70+97+51+51+59+69+56+56+41+49+58+58+99+87+95+97)/21 = 68.381

Mean second test score = (70+58+74+65+60+60+48+73+73+66+67+70+73+76+72+68+73+53+58+50+55)/21 = 64.762

Difference between student 1's first test score and mean first test score = 50 - 68.381 = -18.381

Difference between student 1's second test score and mean second test score = 70 - 64.762 = 5.238

Difference between student 2's first test score and mean first test score = 91 - 68.381 = 22.619

Difference between student 2's second test score and mean second test score = 58 - 64.762 = -6.762

Sum of multiplied differences = (-18.3815.238) + (22.619-6.762) + (-13.3818.238) + (-10.381-0.762) + (10.619*-6.238) + (2.619*-7.238) + (28.619*-16.762) + (-17.3819.238) + (-17.3819.238) + (-9.381*-0.762) + (0.619*-0.238) + (-2.3816.238) + (-2.3817.238) + (-27.38116.238) + (-18.3813.238) + (-10.381*-3.762) + (-10.3815.238) + (-10.3815.238) + (30.619*-11.762) + (18.619*-6.762) + (26.619*-14.762) + (28.619*-9.762) = -962.676

β1 = -962.676 / ((-18.381)^2 + (22.619)^2 + (-13.381)^2 + (-10.381)^2 + (10.619)^2 + (2.619)^2 + (28.619)^2 + (-17.381)^2 + (-17.381)^2 + (-9.381)^2 + (0.619)

Thus, Sum of multiplied differences= -962.676 and β1 = -962.676 / ((-18.381)^2 + (22.619)^2 + (-13.381)^2 + (-10.381)^2 + (10.619)^2 + (2.619)^2 + (28.619)^2 + (-17.381)^2 + (-17.381)^2 + (-9.381)^2 + (0.619).

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The function is conformal everywhere except at infinity since e^(az) is an entire function.

1. For the functions f(z) = u + iv:
(a) f(z) = 1/2: Since the function is a constant, there are no level curves. It is not conformal since it doesn't preserve angles.
(b) f(z) = 1/22: Similarly, this function is a constant, and there are no level curves. It is not conformal.
(c) f(z) = 20: As another constant function, there are no level curves. It is not conformal.
2. For f(2) = Log z = u + iv:
The level curves of u (real part) are concentric circles centered at the origin, while the level curves of v (imaginary part) are radial lines emanating from the origin. This sketch corresponds to a complex logarithm function and is conformal everywhere except at the origin, where it is undefined.
3. For the functions f(z) = u + iv:
(a) f(z) = e^z: The level curves of u and v are orthogonal (intersect at right angles) and create a grid pattern. The function is conformal everywhere except at infinity, as e^z is an entire function.
(b) f(z) = e^(az), where a is complex: The level curves of u and v create a grid pattern, which is rotated and scaled according to the value of a. The function is conformal everywhere except at infinity since e^(az) is an entire function.

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The density of this sand is 1600 kg/m³.

What is the meaning of density?

The amount of something per unit of length, area, or volume: as. : the substance's mass per unit volume. In grams per cubic centimeter, density.

Given that the dimension of a cuboid is length 45 cm, width 30 cm and height 42 cm.

The volume of the cuboid is (45 × 30 × 42) cm³

                                              = 56,700 cm³

                                              = (56,700/100³) m³

                                              = 0.0567 m³

The mass of the sand is 90.72 kg.

The density of the sand is

= mass /volume

=90.72 kg / 0.0567 m³

= 1600 kg/m³

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The inflection point of f(t) is approximately t = 3.73.

(a) To determine if the function f(t) = -0.425t^3 + 4.758t^2 + 6.741t + 43.7 is increasing or decreasing, we need to find its derivative and examine its sign.

Taking the derivative of f(t), we have:

f'(t) = -1.275t^2 + 9.516t + 6.741

To determine the sign of f'(t), we need to find the critical points. Setting f'(t) = 0 and solving for t, we have:

-1.275t^2 + 9.516t + 6.741 = 0

Using the quadratic formula, we find two possible values for t:

t ≈ 0.94 and t ≈ 6.02

Next, we can test the intervals between these critical points to determine the sign of f'(t) and thus the increasing or decreasing behavior of f(t).

For t < 0.94, choose t = 0:

f'(0) = 6.741 > 0

For 0.94 < t < 6.02, choose t = 1:

f'(1) ≈ 14.982 > 0

For t > 6.02, choose t = 7:

f'(7) ≈ -5.325 < 0

From this analysis, we see that f(t) is increasing on the intervals (0, 0.94) and (6.02, ∞), and decreasing on the interval (0.94, 6.02).

(b) To find the inflection point of f(t), we need to find the points where the concavity changes. This occurs when the second derivative, f''(t), changes sign.

Taking the second derivative of f(t), we have:

f''(t) = -2.55t + 9.516

Setting f''(t) = 0 and solving for t, we find:

-2.55t + 9.516 = 0

t ≈ 3.73

Therefore, The inflection point of f(t) is approximately t = 3.73.

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Answer:

Fourth answer

Step-by-step explanation:

\( - \frac{1}{7} \times ( - 7) + b = 8\)

\(b + 1 = 8\)

\(b = 7\)

\(y = - \frac{1}{7} x + 7\)

Answer:

11 pizzas, 5/7 left

Step-by-step explanation:

to find out how much pizza is needed, multiply 4/7 by 18 to get 72/7. round up to get 77/7 or 11 pizzas. 77/7 - 72/7= 5/7 so there will be 5/7 left over

Answer:

12

Step-by-step explanation:

4 x 18

6 x 1   =  72 /6

72/6 = 12

6/6 = 1

12 /1

12

Answer:

60

Step-by-step explanation:

There are 3 groups of 11 travellers each or 11 groups of 3 travellers each.

Since we have 33 travellers and we need to divide them into equal sized groups, we need to find the factors of 33.

So, 33 = 1 × 33 = 3 × 11

So, the two factors of 33 we require are 3 and 11.

Since 11 × 3 = 3 × 11,

So, 3 × 11 implies that we can have 3 groups of 11 travellers each and,

11 × 3 implies that we can have 11 groups of 3 travellers each.

So, there are 3 groups of 11 travellers each or 11 groups of 3 travellers each.

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The properties of radicals to simplify the expression is 2 √22. .

\(\sqrt[3]{6} * \sqrt[3 ]{72} / \sqrt[3]{2}\) =2 √22.

2 √22 = 88 .

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Answer:

One person represents 360 degrees / (204 + 84 + 36 + 204 + 12) = 360 degrees / 540 = 4/6 = 2/3 degrees.

Answer:

D

Step-by-step explanation:

The answer to this question should be D

The sοlutiοn οf the given prοblem οf angles cοmes οut tο be the angle Y has a 78 degree value.

The twο circular lines that fοrm the ends οf a skew in Cartesian cοοrdinates are divided by the tοp and bοttοm οf the wall. Twο beams cοlliding may result in a junctiοn pοint. Angle is anοther οutcοme οf twο things interacting. They resemble dihedral shapes the mοst. A twο-dimensiοnal curve can be created by arranging twο line beams in variοus cοnfiguratiοns at their ends.

Here,

Oppοsing angles are equivalent in a rhοmbus. As a result, we have:

=> Angle H = Angle R = 3x + 51

=> Angle T = Angle Y = 2x + 44

Any quadrilateral's internal angles, including thοse in a rhοmbus, add up tο 360 degrees. Cοnsequently, we can write:

=> Angle H + Angle R + Angle T + Angle Y = 360

With the fοrmulas fοr each angle substituted, we οbtain:

=> (3x + 51) + (3x + 51) + (2x + 44) + (2x + 44) = 360

By cοndensing the left half, we οbtain:

=> 10x + 190 = 360

190 frοm bοth parts are subtracted, giving us:

=> 10x = 170

When we divide by 10, we get:

=> x = 17

Nοw we can determine the angle Y's measurement:

=> Angle Y = 2x + 44

=> Angle Y = 2(17) + 44

=> Angle Y = 34 + 44

=> Angle Y = 78

As a result, the angle Y has a 78 degree value.

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Answer:

There would be 210 calories in a 3/4 cup serving.

Step-by-step explanation:

1/2 of 140 = 70

70 = 1/4

70 x 3 = 210 = 3/4

I hope this helped you! If it did, please consider pressing thanks, rating my answer, and marking as Brainliest. It would be a big help! Have a great day! :)

Based on the number of calories in 1/2 cups, the number of calories in 3/4 cups is 210 calories.

You can use direct proportion to solve for this by assuming that the calories in 3/4 cups is x:

1 / 2          :         140 calories

3 / 4          :        x

Cross multiplying would give:

1/2x = 105

x = 105 ÷ 1/2

x = 210 calories

In conclusion, there would be 210 calories in 3/4 cups.

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The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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Step-by-step explanation:

\(tan = \frac{opposite}{adjacent} \)

tan(tetha) = DC/1 ( here 1 bc as they said, an arc circe w/ radius (OB) 1

Answer:

x = 25

Step-by-step explanation:

Since the sides are congruent, the angles are congruent.

2x + 10 = 60

2x = 50

x = 25

Answer:

Step-by-step explanation:

From the given figure It is isosceles triangle. Here 2x+ 10 and 60° are the opposite angles.

The two angles of an isosceles triangle, opposite to equal sides, are equal in measure.

\(\sf 2x + 10 = 60 \)

\(\sf 2x = 60 - 10 \)

\(\sf 2x = 50 \)

Divide both sides by 2 ,

\(\sf x = 25° \)

TheThe general solution to the wave equation utt = 4 (uxx + Uyy) is given by the D’Alembert’s formula. Therefore, the solution to the given problem is obtained by finding the specific form of the initial conditions u (x, y, 0) = f (x, y) and ut (x, y, 0) = g (x, y) and then use these values to find u (x, y, t) using the D’Alembert’s formula.

Let us find the form of the wave u(x,y,t) that satisfies the wave equation utt = 4 (uxx + Uyy) given the initial displacement f(x,y) = -3sin(5x)sin(6y) + 11sin(6x)sin(9y) and g(x,y) = 0.

Solution:
The D’Alembert’s formula for the wave equation is given by:

`u(x,y,t) = (1/2) [f(x+ct,y) + f(x-ct,y)] + (1/(2c)) ∫_((x-ct))^(x+ct)∫_((y-c(t-s)))^(y+c(t-s)) g(s,r) dr ds`

where c is the speed of the wave. Comparing with the wave equation `utt = c^2(uxx + uyy)` we have `c = 2`

Therefore, the solution to the wave equation is given by:

`u(x,y,t) = (1/2) [-3sin(5(x+2t))sin(6y) -3sin(5(x-2t))sin(6y) +11sin(6(x+2t))sin(9y) +11sin(6(x-2t))sin(9y)]`

Hence, the solution is:

`u(x,y,t) = (1/2) [-3sin(5(x+2t))sin(6y) -3sin(5(x-2t))sin(6y) +11sin(6(x+2t))sin(9y) +11sin(6(x-2t))sin(9y)]`

So, this is the required solution.

Answer:

87 inches

Step-by-step explanation:

\(63^{2} +60^{2} = 87^{2} \\3969+3600=7569\)

Answer:

f(x) is the amount awarded to a player upon rolling the die

The domain of the function = 1, 2, 3, 4, 5, and 6

The values of the function are 5, 7, 9, 11, 13, and 15

Step-by-step explanation:

The given information includes;

The function f(x) = 2·x + 3

Given that f(x) is the amount awarded to a player upon rolling the die, and x = The value rolled on the die, we have;

The values of x are 1, 2, 3, 4, 5, and 6

The values of the function then becomes;

f(x) = 2·x + 3

{x = 1, 2, 3, 4, 5, and 6} {f(x) = 5, 7, 9, 11, 13, and 15}

Therefore, the domain of the function = 1, 2, 3, 4, 5, and 6

The values of the function are 5, 7, 9, 11, 13, and 15.

Step-by-step explanation:

you know how functions work ?

the variable (or variables) in the findings expression is a placeholder for actual values.

when we have an actual value, we put that into the place of the variable and then simply calculate.

x = 5

therefore, the functional calculation is

y = 3×5 - 7 = 15 - 7 = 8

keep in mind the priorities of mathematical operations :

1. brackets

2. exponents

3. multiplications and divisions

4. additions and subtractions

therefore, we need to calculate "3×5" before we deal with the "- 7" part.

Answer:

Step-by-step explanation:

y=8

Answer:

3/14

Step-by-step explanation:

Using sine rule formula to resolve the value for angle D

The sine rule formula is,

Given:

Therefore,

Simplify

Hence, the answer is