in random assignment of cases to experimental groups, you are guaranteed that the groups would have identical dependent variable measures in a pretest true or false

Answer:

That is right if what you are asked is to mirror the value of b to a

Step-by-step explanation:

Answer:

The last block where is says y=13-2x and 4x-y=-1 is the correct answer

I got a 100% in this test. It is right

Plz give brainliest :)

Answer:

53 1/4

Step-by-step explanation:

55 5/6  - 1 1/3 - 1 1/4  Rewrite with a common denominator

55 10/12 - 1 4/12 - 1 3/12

55 10/12 - 1 4/12 = 54 6/12

54 6/12 - 1 3/12

53 3/12

53 1/4

Answer:

B

Step-by-step explanation:

An experiment is a study carried out in a controlled environment where the person undertaking the research hopes to understand cause and effect between the independent and dependent variables. An example of a experiment is the palovian experiment

The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable

The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable

Observational study is the study where the researcher observes and measures cause and effect between independent and dependent variables without trying  to control or influence the population

Answer: 5x Scale factor

When we say that the scale factor from a 4x6 rectangle to a 20x30 rectangle is 5, it means that the larger rectangle is 5 times bigger than the smaller rectangle in terms of both length and width.

Compare the dimensions of the two rectangles.

We can express this relationship as follows:

20/4 = 5

30/6 = 5

These two equations show that both the length and width of the larger rectangle are 5 times greater than the length and width of the smaller rectangle, respectively. So, we can say that the scale factor from the smaller rectangle to the larger rectangle is 5.

Answer:

The two numbers are 5 and 1. Their product is 5

Step-by-step explanation:

x + y = 6 (*)

x - y = 4 (**)

Let (*) + (**)

--> (x+y) + (x-y) = 6 + 4

<=> 2x = 10 <=> x = 5

Substitute x= 5

(*) <=> 5 + y = 6

<=> y=1

Answer: (x,y) = (5,1)

Their product: x.y = 5x1 = 5

The division will give a value of 0.15 × 10^10.

The information is to divide the quantity 1.365 times ten raised to the eighteenth power end quantity divided by the quantity 9.1 times ten raised to the eighth power end quantity.

This will be:

(1.365 × 10^18) / (9.1 × 10^8)

= 1.365/9.1 × 10^10

= 0.15 × 10^10

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The number of moles of CuSO₄ that were reacted is 0.7183 moles.

The balanced chemical equation for the reaction of copper with sulfuric acid is given as follows:

Cu + H₂SO₄ → CuSO₄ + H₂O

From the balanced chemical equation above, it is observed that one mole of copper reacts with one mole of sulfuric acid to produce one mole of copper (II) sulfate.

In other words, the stoichiometric coefficient of CuSO4 is equal to one (1).

Therefore, if 0.7183 moles of Cu are produced, it implies that 0.7183 moles of sulfuric acid (H₂SO₄) must have reacted since the reaction is a 1:1 mole ratio.

Thus, the number of moles of CuSO₄ that were reacted is 0.7183 moles as well.

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Answer:

115%, 1.15, 115/100

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

5fg

5(6)(10)=300

Therefore, we can say with 96% confidence that the true difference in the averages between cows on the vitamins and cows not on the vitamins is between −2.82 and 105.40 pounds. Since the interval includes 0, we cannot conclude that the vitamins have a significant effect on the weight of the cows.

To calculate the confidence interval for the difference in the averages between cows on the vitamins and cows not on the vitamins, we need to calculate the mean and standard deviation for each group and then use the formula for a confidence interval for the difference between two means.

Let's denote the weight of the cows on vitamins as X1 and the weight of the cows not on vitamins as X2.

From the data, we can calculate the following:

- For cows on vitamins: mean = 1254.5 pounds, standard deviation = 146.27 pounds
- For cows not on vitamins: mean = 1203.21 pounds, standard deviation = 150.44 pounds

To calculate the confidence interval, we can use the following formula:

CI = (X1 - X2) ± t(alpha/2, df) * sqrt((s1^2/n1) + (s2^2/n2))

where X1 and X2 are the means of the two groups, s1 and s2 are the standard deviations of the two groups, n1 and n2 are the sample sizes for the two groups, df is the degrees of freedom (df = n1 + n2 - 2), t(alpha/2, df) is the t-value from the t-distribution with alpha/2 and df degrees of freedom.

For a 96% confidence interval, alpha = 0.04 and t(alpha/2, df) = 2.120. Plugging in the values, we get:

CI = (1254.5 - 1203.21) ± 2.120 * sqrt((146.27^2/19) + (150.44^2/19))
CI = 51.29 ± 54.11
CI = (−2.82, 105.40)

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Answer: Rule: y=-2x-2, Missing numbers are 0 and 2

Step-by-step explanation:

The rule of this table looks to be y=-2x-2

-2(2)-2=-6

-2(1)-2=-4

-2(0)-2=-2

The missing numbers:

-2(-1)-2=0

-2(-2)-2=2

According to the question For ( a ) the amount and concentration of salt at any time \(\(t\)\) can be \(\[S(t) = 10 + 11 - 44 \times C(t) \text{ kg}\]\)\(\[C(t) = \frac{S(t)}{100}\text{ kg/L}\]\) . For ( b ) the limiting concentration of salt in the tank is 0.25 kg/L.

To determine the amount and concentration of salt at any time in the tank, we need to consider the inflow of saltwater, outflow of water, and evaporation. Let's denote the time as \(\(t\)\) in hours.

a. Amount and Concentration of Salt at any time:

Let's denote the amount of salt in the tank at time \(\(t\) as \(S(t)\)\) in kg and the concentration of salt in the tank at time \(\(t\) as \(C(t)\) in kg/L.\)

Initially, the tank contains 100 L of water with a salt concentration of 0.1 kg/L. Therefore, at \(\(t = 0\)\), we have:

\(\[S(0) = 100 \times 0.1 = 10 \text{ kg}\]\)

\(\[C(0) = 0.1 \text{ kg/L}\]\)

Considering the inflow, outflow, and evaporation rates, the amount of salt in the tank at any time \(\(t\)\) can be calculated as:

\(\[S(t) = S(0) + \text{Inflow} - \text{Outflow} - \text{Evaporation}\]\)

The inflow rate of saltwater is 55 L/h with a concentration of 0.2 kg/L. Thus, the amount of salt entering the tank per hour is:

\(\[\text{Inflow} = \text{Inflow rate} \times \text{Concentration} = 55 \times 0.2 = 11 \text{ kg/h}\]\)

The outflow rate is 44 L/h, so the amount of salt leaving the tank per hour is:

\(\[\text{Outflow} = \text{Outflow rate} \times C(t) = 44 \times C(t) \text{ kg/h}\]\)

The evaporation rate is 11 L/h, and as only water evaporates, it does not affect the salt concentration in the tank.

Therefore, the amount and concentration of salt at any time \(\(t\)\) can be expressed as follows:

\(\[S(t) = 10 + 11 - 44 \times C(t) \text{ kg}\]\)

\(\[C(t) = \frac{S(t)}{100}\text{ kg/L}\]\)

b. Limiting Concentration:

The limiting concentration refers to the concentration reached when the inflow and outflow rates balance each other, resulting in a stable concentration. In this case, the inflow rate of saltwater is 55 L/h with a concentration of 0.2 kg/L, and the outflow rate is 44 L/h. To find the limiting concentration, we equate the inflow and outflow rates:

\(\[\text{Inflow rate} \times \text{Concentration} = \text{Outflow rate} \times C_{\text{limiting}}\]\)

\(\[55 \times 0.2 = 44 \times C_{\text{limiting}}\]\)

\(\[C_{\text{limiting}} = \frac{55 \times 0.2}{44} = 0.25 \text{ kg/L}\]\)

Therefore, the limiting concentration of salt in the tank is 0.25 kg/L.

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Based on the given information, the researcher should not reject the null hypothesis if using an alpha level of 0.05.

In hypothesis testing, the null hypothesis is typically assumed to be true until there is sufficient evidence to reject it. To determine whether to reject the null hypothesis, researchers often compare the calculated F-value from an ANOVA test with the critical F-value. The critical F-value is based on the significance level (alpha) chosen for the test. In this case, the given F-value is 3.47 with degrees of freedom (3, 32), indicating that there are three groups and a total of 32 observations. To make a decision, the researcher needs to compare the calculated F-value to the critical F-value. If the calculated F-value is greater than the critical F-value, the null hypothesis is rejected. However, if the calculated F-value is less than or equal to the critical F-value, the null hypothesis is not rejected. Since the critical F-value corresponding to alpha = 0.05 is not provided in the question, we cannot determine whether the null hypothesis should be rejected.

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a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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yes, for your x to be positive and to make it remain on the left hand side you actually have to add 4x to both side to eliminate x from the right hand side.

Answer:

Comparison shopping

Step-by-step explanation:

Due to the the difference in prices of high value goods from retailers, consumers usually find it difficult making a decision on the goods to buy. Thus, they do what we call comparison shopping whereby they attempt to compare prices and features of many similar products from different retailers before before they take a decision on what product to buy.

Answer:

Step-by-step explanation:

no

The optimized values of X and Y will represent the number of Yummy and Wholesome patties produced per month.

The total cost of production and storage will be minimized according to the objective function.

What is linear programming?

Linear programming is a mathematical method used to optimize (maximize or minimize) a linear objective function subject to a set of linear constraints. It is widely used in various fields, including economics, operations research, engineering, and finance, to solve optimization problems.

In linear programming, the objective is to find the best possible solution that satisfies a given set of constraints while optimizing a specific objective. The objective function represents the quantity to be maximized or minimized, such as profit, cost, time, or resource utilization. The constraints define the limitations or restrictions on the decision variables.

Decision Variables:

Let X be the number of Yummy patties produced per month.

Let Y be the number of Wholesome patties produced per month.

Objective Function:

Minimize the total cost of producing and storing Yummy and Wholesome sandwich patties.

Total Cost = (Production Cost per patty * Number of Yummy patties) + (Production Cost per patty * Number of Wholesome patties) + (Storage Cost per patty * Number of Yummy patties) + (Storage Cost per patty * Number of Wholesome patties)

Constraints:

Production capacity constraint: X + Y <= 12,000,000 (the total number of patties produced per month should not exceed 12 million).

Demand constraints: X >= demand for Yummy patties per month

Y >= demand for Wholesome patties per month

Fat content constraint: (20X + 8Y) / (X + Y) <= 13 (average fat content should not exceed 13 grams per patty)

To solve this linear programming problem and optimize the total cost, you can use Solver in software like Microsoft Excel. Here are the steps to set up and solve the problem using Solver:

Set up the spreadsheet:

Create a table with columns for variables (X and Y), objective functions, and constraints.

Enter the appropriate formulas for the objective function and constraints based on the given information.

Define the objective cell as the total cost and set it to minimize.

Set up the Solver:

Open Solver in Excel (usually found under the Data or Analysis tab).

Set the objective cell as the target to minimize.

Define the decision variables and their limits (X and Y >= 0).

Add the constraints based on the given conditions.

Set the Solver options as needed (non-integer solutions are allowed).

Run the Solver:

Click the Solve button to find the optimal solution.

Solver will adjust the values of X and Y to minimize the total cost while satisfying the constraints.

Review the results:

Once Solver completes, review the solution provided.

The optimized values of X and Y will represent the number of Yummy and Wholesome patties produced per month.

The total cost of production and storage will be minimized according to the objective function.

By following these steps and using Solver, you can find the optimal solution for minimizing the total cost of producing and storing Yummy and Wholesome sandwich patties while satisfying the given constraints.

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There are exactly two primitive roots (mod 42): 2 and 6. This means that for any number n, 2^n and 6^n are congruent (mod 42). When selecting a random integer from the reduced residue system (mod 42), the probability that it is a primitive root is 1/21 (since there are 21 numbers in the reduced residue system, and only 2 primitive roots). Similarly, the probability that the integer is not a primitive root is 20/21.

If you independently select 5 random integers from the reduced residue system (mod 42), the probability that none of your integers is a primitive root is (20/21)^5, and the probability that at least one of your integers is a primitive root is 1 - (20/21)^5.
To sum up, when selecting a random integer from the reduced residue system (mod 42), the probability that it is a primitive root is 1/21, while the probability that it is not a primitive root is 20/21. If you independently select 5 random integers, the probability that none of your integers is a primitive root is (20/21)^5, and the probability that at least one of your integers is a primitive root is 1 - (20/21)^5.

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The motion of the object which is described by the quadratic equation is a projectile motion, and the horizontal distance the object travels is 20 feet .

Projectile motion is the motion of an object which is thrust into the air and moves under the effect of gravitational force alone.

The equation in the question is; y = -x² + 16·x + 80

Where;

y = The vertical distance above the ground

x = The horizontal distance of the object

y = -x² + 16·x + 80

From which we get;

When the object hits the ground, y = 0, which indicates;

y = 0 = -x² + 16·x + 80

The value of x that is a solution to the above equation represents the distance the object travels before it reaches the ground.

-x² + 16·x + 80 = 0

x² - 16·x - 80 = 0

(x - 20)·(x + 4) = 0

x = 20 or x = -4

The distances at which the object reaches the ground are x = -4 feet or x = 20 feet

The possible distance the object will travel in the horizontal direction is 20 feet.

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Answer:

A

Step-by-step explanation:

Tangents drawn to a circle from an external point are congruent, thus

the triangle formed by the 2 tangents is isosceles with base angles of 74°

m = 180° - (74 + 74)° = 180° - 148° = 32° ( sum of angles in Δ )

The value of the measured angle of m is 32°.

A tangent of a circle is defined as a single point where a single straight line touches or intersects the circle. A line that never touches the inside of the circle is called a tangent.

The line connecting the outer point will cut the angle between the tangents in bisect and the center are equal to each other.

According to the given figure as

A circle with center O,

Since there are two tangents to the circle drawn from an external point.

therefore the lengths of tangents drawn from an external point to a circle are equal.

So, the triangle formed by the 2 tangents is isosceles with base angles of 74°

We know that sum of angles in the triangle is 180 degrees

So ∠ m = 180° - (74 + 74)°

⇒ ∠ m = 180° - 148°

⇒ ∠ m = 32°

Hence, the value of the measured angle of m is 32°.

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Answer:

Around the 3 + 6:-

(3 + 6) x 9 + 3

Step-by-step explanation:

(3 + 6) x 9 + 3

= 9 x 9 + 3

= 84.

Answer:

\((3+6) \cdot 9+3 = 9 \cdot 9 + 3 = 81 +3 = 84\)

Answer:

(x+3)(x+5)

x( x + 5) +3 ( x + 5)

x² + 5x + 3x + 15

x² + 8x + 15

Answer:

12.0

Step-by-step explanation:

Answer:

452.4

Step-by-step explanation:

An inequality for the graph above is y ≤ -3x + 6.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-3 - 6)/(3 - 0)

Slope (m) = -9/3

Slope (m) = -3

At data point (0, 6) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 6 = -3(x - 0)  

y = -3x + 6

y ≤ -3x + 6 (since the solid line is shaded below).

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The probability that both of his kids are boys are 1/3.

If a man has 2 kids, the possible combinations of kids are:

There are 4 possible combinations of the sexes of the two kids.

The fourth possibility is impossible, because one of the kids is a boy. So it can't be both girls. Then the possible combinations are:

The number of combinations of the both kids are boys = 1

The number of combinations that minimum one kid is boy = 3

Then the probability that both of kids are boys are:

\(P_{both boy}=\frac{both boy}{minimal one boy} \\P_{both boy}=\frac{1}{3} \\\)

So the probability both of kids are boy is 1/3.

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We want to design a math problem, where we calculate a volume and the answer is 24.

So, we will try first to imagine a figure with an easy shape, so we can calculate its volume. Take for example a box

This box has dimensions length l, width w and height h. A box with this dimensions would have a volume of

Lets say that we want the volume to be 24. So we have the equation

Now, we want to choose numbers to each variable. Lets say what l=4, w=3. So we would have

Then, by dividing both sides by 12 we get

So we know that a box with a length of 4, width of 3 and a height of 2 has a volume of 24. So the problem could be

what is the volume of a box of length 4, width 3 and height 2?

Answer:

C) 1/2

Step-by-step explanation:

A parallelogram is a quadrilateral with two sets of parallel, opposite sides.

Keep in mind that a square, a rhombus, and a rectangle are also parallelograms.

There are 4 parallelograms out of 8 polygons.

p(parallelogram) = 4/8 = 1/2