if a statistically significant difference is found between the math scores of two groups, we can conclude the difference was due to a chance occurrence.TRUE/FALSE

The corrals that satisfies the population constraint that requires at least 20 square meters of area per animal is option (d) corral 4

To determine which corral meets the population constraints of at least 20 square meters for each animal, we need to calculate the area of each corral and divide it by the number of animals in that corral. If the result is at least 20 square meters, then the corral meets the requirement.

Corral 1: Area = length x width = 50 x 40 = 2000 square meters. Number of animals = 110. Area per animal = 2000/110 = 18.18 square meters. Therefore, Corral 1 does not meet the requirement.

Corral 2: Area = length x width = 60 x 35 = 2100 square meters. Number of animals = 115. Area per animal = 2100/115 = 18.26 square meters. Therefore, Corral 2 does not meet the requirement.

Corral 3: Area = length x width = 55 x 45 = 2475 square meters. Number of animals = 125. Area per animal = 2475/125 = 19.8 square meters. Therefore, Corral 3 meets the requirement.

Corral 4: Area = length x width = 65 x 40 = 2600 square meters. Number of animals = 130. Area per animal = 2600/130 = 20 square meters. Therefore, Corral 4 meets the requirement.

Therefore, the answer is (d) Corral 4.

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Answer:

D. Corral 4

Hope this helps!

Step-by-step explanation:

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Step-by-step explanation:

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A sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion.

To calculate the required sample size, we can use the formula:

n = (\(z^2\) * p * q) /\(e^2\)

where n is the sample size, z is the z-score corresponding to the desired level of confidence (in this case, 2.576 for 99% confidence), p is the estimated population proportion (0.165, based on the NWBC's finding), q is 1-p, and e is the maximum error we want to tolerate (in this case, 0.06 or 6 percentage points).

Substituting the values, we get:

n = (2.576^2 * 0.165 * 0.835) / \(0.06^2\)

Solving for n, we get:

n ≈ 329

Therefore, a sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion. Note that this assumes a simple random sample and that the population size is much larger than the sample size, so the finite population correction is not needed.

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Answer:

distance = 11.1803 units

midpoint :  (-1.5, 6).

Step-by-step explanation:

To plot the points A(4, 5) and B(-7, 7) on the grid, we locate the points at the coordinates (4, 5) and (-7, 7) respectively.

The distance between two points (x1, y1) and (x2, y2) can be calculated using the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values for A and B, we get:

d = √((-7 - 4)^2 + (7 - 5)^2)

d = √(11^2 + 2^2)

d = √(121 + 4)

d = √125

d = 11.1803 (rounded to hundredths place)

The midpoint of two points (x1, y1) and (x2, y2) can be calculated as follows:

x = (x1 + x2) / 2

y = (y1 + y2) / 2

The midpoint of A and B is:

x = (4 - 7) / 2 = -1.5

y = (5 + 7) / 2 = 6

So the midpoint of A and B is approximately (-1.5, 6).

Step-by-step explanation:

please mark me as brainlest

The symbol for a vector is an alphabet with an arrow over it (or) an alphabet written in bold.

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Answer

1. Solve for "y=" if necessary.

2. Substitute the value for "y" in the other equation.

3. Solve the new equation to find "x".

4. Substitute the value for "x" in either original equation to find "y".

5. Check your work.​

Explanation

1. Solve for "y=" if necessary.

2. Substitute the value for "y" in the other equation.

3. Solve the new equation to find "x".

4. Substitute the value for "x" in either original equation to find "y".

5. Check your work.​

Hope this Helps!!!

Answer:

Step-by-step explanation:

8x + 3 = 2x + 51

6x + 3 = 51

6x = 48

x = 8

8(8) + 2(8) + 51 + 3

64 + 16 + 54

80 + 54 = 134

The value of AC assuming the B is the midpoint of the line segment AC will be 134.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

As per the given,

AB = 8x + 3 and

BC = 2x +51

Suppose, B is the mid-point of AC.

AB = BC

8x + 3 = 2x + 51

8x - 2x = 51 - 3

6x = 48

x = 8

Thus, AB = 8(8) + 3 = 67

Since, AC = 2 ×  AB

AC = 2 × 67 = 134

Hence "The value of AC assuming the B is the midpoint of the line segment AC will be 134".

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Answer:

  a) -3p +4q

  b) -6x +3y

Step-by-step explanation:

Use the distributive property to eliminate parentheses. Use the properties of arithmetic to combine the numbers.

__

The order of operations tells you to start with the inner parentheses and work outward.

  \(-\dfrac{1}{3}(6(p+q)-3(p-2(p-3q)))=-\dfrac{1}{3}(6(p+q)-3(p+(-2)(p) +(-2)(-3q)))\\\\=-\dfrac{1}{3}(6(p+q)-3(p-2p+6q))=-\dfrac{1}{3}(6(p+q)-3(-p+6q))\\\\=-\dfrac{1}{3}((6)(p)+(6)(q)+(-3)(-p)+(-3)(6q))=-\dfrac{1}{3}(6p+6q+3p-18q)\\\\=-\dfrac{1}{3}(9p -12q)=(-\dfrac{9p}{3})+(-\dfrac{-12q}{3})=\boxed{-3p+4q}\)

__

Same deal for the second expression: use the distributive property and combine like terms.

  \(y-\dfrac{2}{3}(9x-3y)=y+(-\dfrac{2\cdot9x}{3})+(-\dfrac{2(-3y)}{3})\\\\=y-6x+2y=\boxed{-6x+3y}\)

Answer:

641.29

Step-by-step explanation:

100% = 903.23

1% = 903.23 ÷ 100 = 9.0323

71% = 9.0323 x 71 = 641.2933

Rounded to 2 decimal places =

641.2933 = 641.29

Answer:

641.29 m

Step-by-step explanation:

Convert "71%" to the decimal fraction 0.71.  

Then multiply 903.23 m by this 0.71:

641.29 m

The valid conclusion that can be made from the result that milk yield was 258 liters higher on average on farms where cows were called by name is that there is a correlation or association between calling cows by name and higher milk yield.

The observed difference in milk yield between farms where cows were called by name and farms where they were not suggests that there may be a relationship between the two factors. However, it is important to note that correlation does not imply causation.

There could be several underlying factors contributing to the observed difference in milk yield. For example, farms where cows are called by name might have better management practices, such as individualized attention, better feeding routines, or superior animal welfare, which could lead to higher milk production. On the other hand, it is also possible that farms where cows are called by name simply have more advanced facilities or equipment that indirectly contribute to higher milk yield.

To establish a causal relationship between calling cows by name and higher milk yield, further research and analysis would be needed. Controlled experiments or observational studies that account for other variables and potential confounding factors could provide more conclusive evidence.

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Answer:

\(\textsf{1)} \quad 10000(1.06)^t\)

2)   €17,908.48

3)  0.5%

4)  120

\(\textsf{5)} \quad 10000(1.005)^{120}\)

6)  €18,193.97

7)  More money.

Step-by-step explanation:

\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ A=P\left(1+r\right)^{t}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given:

Substitute the given values into the compound interest formula to write an expression that describes the given scenario over t years:

\(\implies A=10000(1+0.06)^t\)

\(\implies A=10000(1.06)^t\)

To calculate how much money will be in the fund after 10 years, substitute t = 10 into the equation from question 1:

\(\implies A=10000(1.06)^{10}\)

\(\implies A=10000(1.79084769...)\)

\(\implies A=17908.4769...\)

Therefore, there will be €17,908.48 in the emergency fund after 10 years.

If the annual rate is 6%, the monthly interest rate is the annual rate divided by 12 (since there are 12 months in a year):

\(\implies \dfrac{6\%}{12}=0.5\%\)

Given that are 10 years in the scenario, the exponent will be the number of months in 10 years:

\(\implies 10 \times 12 = 120\)

0.5% = 0.005

Therefore, the complete expression that describes the scenario, given an annual interest rate of 6% that compounds monthly over 10 years is:

\(\implies 10000(1 + 0.005)^{120}\)

\(\implies 10000(1.005)^{120}\)

To calculate how much money will be in the emergency fund after 10 years if the interest compounds monthly, calculate the expression from question 5:

\(\implies 10000(1.005)^{120}\)

\(\implies 10000(1.81939673...)\)

\(\implies 18193.9673...\)

Therefore, there will be €18,193.97 in the emergency fund after 10 years.

Amount in fund when compounded annually = €17,908.48

Amount in fund when compounded monthly = €18,193.97

Therefore, there is more money in the emergency fund when it is compounded monthly as the compounding frequency is greater (interest is earned on both the principal and the interest, so the more frequent the compounding periods are, the more interest is earned).

The general rule about compounding in exponential functions is the higher the number of compounding periods, the greater the amount of compound interest.  

In terms of compounding interest in investment:

(a) Air bounce: 37 <  x < 61

Tide pool climb:   \(x\leq 39\)

(b) look at the uploaded diagram

(c) 37 < x \(\leq 39\)

Answer: i dont understand the question

Step-by-step explanation:

Answer:

6 chair If you are dividing

Step-by-step explanation:

The uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

To calculate the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ for the given wave packet, we need to find the expectation values of the observables (x^ - ⟨x⟩)^2 and (p^ - ⟨p⟩)^2, respectively.

The wave packet is represented by the function ψ(x) = [2πa^2]^(1/2) exp[-4a^2(x - ⟨x⟩)^2 + iℏpx]. Here, a is a constant, ⟨x⟩ represents the expectation value of x, and p is the momentum operator.

To find ⟨Δx^2⟩, we calculate the expectation value of (x^ - ⟨x⟩)^2 with respect to ψ(x). By integrating (x - ⟨x⟩)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δx^2⟩ = a^2/2.

Similarly, to find ⟨Δp^2⟩, we calculate the expectation value of (p^ - ⟨p⟩)^2 with respect to ψ(x). Since p is the momentum operator, its expectation value is ⟨p⟩ = 0 for the given wave packet. By integrating (p^ - 0)^2 multiplied by the squared magnitude of the wave packet over all x values, we obtain the result ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

Therefore, the uncertainties ⟨Δx^2⟩ and ⟨Δp^2⟩ are given by the expressions ⟨Δx^2⟩ = a^2/2 and ⟨Δp^2⟩ = (ℏ^2)/(8a^2).

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Answer:

Number of people in each car = x = 8

Number of people in each van = y = 22

Step-by-step explanation:

Let

Number of people in each car = x

Number of people in each van = y

8x + 8y = 240 (1)

4x + y = 54 (2)

From (2)

4x + y = 54 (2)

y = 54 - 4x

Substitute y = 54 - 4x into (1)

8x + 8y = 240 (1)

8x + 8(54 - 4x) = 240

8x + 432 - 32x = 240

8x - 32x = 240 - 432

-24x = -192

x = -192/-24

x = 8

Substitute x = 8 into (2)

4x + y = 54 (2)

4(8) + y = 54

32 + y = 54

y = 54 - 32

y = 22

Number of people in each car = x = 8

Number of people in each van = y = 22

Answer: A. Right

Step-by-step explanation:

The edge of a square is a 90 Degree angle which is. A right angle.

Answer:

5 1/3 grams per serving

Step-by-step explanation:

Find the unit rate. 4 grams for every $\frac{3}{4}$ serving The unit rate is grams per serving.

The unit rate in grams per serving is given as:

3/4 servings = 4 grams

1 servings = x grams

Cross Multiply

x grams = 4 grams × 1 serving/3/4 serving

x grams = 4 grams ÷ 3/4 servings

x grams = 4 grams × 4/3 servings

x grams = 16/3

x grams = 5 1/3 grams per serving

The unit rate = 5 1/3 grams per serving

The cost of the hamburger and hot dog will be $10.4 and $7.25, respectively. Then the correct option is D.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

At the school carnival, the soccer team sold hamburgers and hot dogs. A person buying one hamburger and one hot dog will spend $17.65. The soccer team sold 22 hamburgers and 39 hot dogs and made $511.55.

Let x be the cost of hamburgers and y be the cost of hot dogs. Then the equation will be

x + y = 17.65                ...1

22x + 39y = 511.55     ...2

Solve the equations, then we have

22(17.65 - y) + 39y = 511.55

388.3 - 22y + 39y = 511.55

17y = 123.25

y = $7.25

Then the value of x will be

x + 7.25 = 17.65

x = 17.65 - 7.25

x = $10.40

The cost of the hamburger and hot dog will be $10.4 and $7.25, respectively. Then the correct option is D.

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Answer:

x = 56°

Explanation:

Note: A straight line has total 180°

Answer:

x = 56°

Step-by-step explanation:

x + 124° = 180° ( being linear pair )

X = 180° - 124°

X = 56°

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

P(t) = K / (1 + (K/P0 - 1) * e^(-rt))

In this equation, P(t) is the population at time t, P0 is the initial population at time t=0, K is the carrying capacity, r is the intrinsic growth rate, and e is the base of the natural logarithm ( approximately 2.71828).

To find the carrying capacity, you can set P(t) equal to K and solve for t. This will give you the time at which the population reaches its carrying capacity.

To find the value of k, you can plug in the values for P(t), P0, and r and solve for K.

To write the solution of the equation, you can solve for t by rearranging the equation and taking the natural logarithm of both sides.

To find the population after 10 weeks, you can plug in the values for P0, K, r, and t=10 into the equation and solve for P(t).

I hope this helps! Let me know if you have any further questions.

The volume of the solid generated when the right triangle below is rotated about side IK is: 37.7 units²

The three-dimensional figure that is formed by rotating a triangle about it's height is called a Cone.

Where:

The triangle base length will be seen to become the radius of the cone

The triangle height will be seen to become the height of the cone

The formula for the volume of a cone is expressed as:

V = ¹/₃πr²h

Where:

r refers to the radius

h refers to the height

Therefore, we can say that the volume will be expressed as:

V = ¹/₃ * π * 2² * 9

V = 37.7 units²

Thus, that is the  volume of the solid generated when the right triangle below is rotated about side IK.

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Answer:

239.36

Step-by-step explanation:

you do the 8 precent times 4 years =32 precent

then you calculate 32 % out of the 748 $  and the answer is 239.36 dollar

Answer:

325

Step-by-step explanation:

All you need to do is,

3770 ÷ 11.6

= 325 meters.

To calculate the optimal profit, we need to find the value of D when the total cost is \($30,500\) and then substitute it into the given equation.

To find D, we can rearrange the equation to solve for D: Given:\(p = 180 - 0.2D\) and total cost =\($30,500\) Now, substitute the total cost ($30,500) into the equation to find D:

Since D cannot be negative in this context, it means that the given equation is not applicable for a total cost of \($30,500\). it is not possible to calculate the optimal profit using the given equation and the total cost of \($30,500\).

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