In observational studies, the variable of interestA. cannot be numerical.B. must be numerical. C. is controlled. D is not controlled.

Answer:

Inequaliy: 2x-3(12)>60

X>48

Step-by-step explanation:

Since area of a rectangle is W(L)=A

The inequality given right here including length And width and area Plugged in would be

2x-3(12)>60.  (It’s >60 because the area stated in the problem said to be greater then 60 so we put a Greater then sign)

Combine like terms and solve

2x-36>60

Add 36 on both sides

2x>96

Divide 2 on both sides to isolate variable

x>48

Check:

2(50)-36>60 ( I used 50 because it’s greater then 48 and it’s a easy number to work with for just a check)

solve:

100-36>60

64>60✔️

Answer: hello the dot plots related to your question is missing attached below is the missing Dot plots

answer: The distribution for Group A is symmetric, and the distribution for Group B is skewed to the right.

Step-by-step explanation:

The true statement is

The distribution for Group A is symmetric, and the distribution for Group B is skewed to the right.

This is because the data value of 10 in Group B makes it to be skewed to the right

The amount of yellow paint Curt and Melanie should use is 0.45 quarts so that they can make 1.5 quarts bucket of seafoam green paint.We can use per cent equation.

Given that to make 1.5 quarts bucket of seafoam green paint Curt and Melanie have to mix 70 parts blue paint and 30 parts yellow paint.If 100 percent represent total paint then for 1.5 quarts we have to find the proportion of yellow paint.Let it be x.

30%  / 100% =30 / 100 = x / 1.5 quarts.

We can reduce the equation further,

0.3  = x / 1.5.

0.3 * 1.5 = x

x = 0.45

We can also find blue paint proportion similar by substituting 30 per cent to 70 per cent.

As a result of our calculation, we found the amount of yellow paint to be 0.45 quarts.

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What is 16% of 78? Round to the nearest tenth.

16% = 0.16

so:

0.16 * 78 = 12.48

round:

12.5

Answer:

3 ( x + 12 ) = 58

3x + 36 = 58

3x = 22

x =  7.3333333

x = 7.4

Step-by-step explanation:

substitute the x in to the equation

3 ( x + 12 ) = 58

22 + 36 = 58

Answer:

Graph C

Step-by-step explanation:

Assuming you mean \(\displaystyle f(x)=\frac{4x-8}{2x+3}\):

Thus, the correct graph is C.

To estimate the variance of the error term, σ², and Var(B₁), we can use the formulas provided in equation (2.61) from the CLM Assumptions.

In equation (2.61) of the CLM Assumptions, the variance of the error term, σ², is estimated as:

σ² = (SSE / (n - k - 1))

where SSE is the sum of squared errors, n is the sample size, and k is the number of independent variables in the model (excluding the constant term). Since the given equation is a simple linear regression model with one independent variable (x₁), k would be 1.

To calculate SSE, we need to compute the sum of squared differences between the actual y values and the predicted values based on the estimated regression line. However, we do not have the predicted values or the estimated coefficients (β₀ and β₁) provided in the question. Without these values, we cannot calculate the SSE or estimate σ².

Similarly, to estimate the variance of B₁ (Var(B₁)), we need the estimated standard error of B₁. The standard error of B₁ can be calculated using the formula:

SE(B₁) = sqrt(σ² / (n * Var(x₁)))

However, without the estimated coefficients or the predicted values, we cannot calculate the standard error of B₁ or estimate Var(B₁).

Without the necessary values (estimated coefficients or predicted values), we cannot calculate the variance of the error term (σ²) or the variance of B₁ (Var(B₁)). The provided information is insufficient to perform these calculations.

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Answer:

c = 13.50g + 55p

Step-by-step explanation:

You multiply the cost of the item by the amount you bought.

An equation for the total cost of video games and controllers is c = 13.50g + 55p.

Given that, Thomas went to the store to buy video games for $13.50 each and controllers that cost $55 each.

We need to write an equation where c represents the total cost, g is the number of games he bought, and p is the number of controllers he bought.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, the total cost of video games=13.50g

The total cost of controllers=55p

Total cost =c = 13.50g + 55p

Therefore, an equation for the total cost of video games and controllers is c = 13.50g + 55p.

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The pick-up rate in this scenario would be 80%. This is calculated by dividing the number of rooms occupied (160) by the number of rooms reserved (200), and then multiplying by 100 to get a percentage. So, (160/200) x 100 = 80%. This means that 80% of the reserved rooms were ultimately occupied.

It's important to note that a pick-up rate of 80% is generally considered to be a good result in the hospitality industry. It indicates that the hotel was able to accurately predict the number of rooms that would be needed by the groups, and that the groups themselves followed through on their reservations. A lower pick-up rate could suggest that the hotel overestimated demand, or that some of the groups cancelled their bookings at the last minute. On the other hand, a higher pick-up rate could indicate that the hotel was too conservative in its initial estimates, or that some of the groups requested additional rooms after the initial reservation was made. Ultimately, the pick-up rate is a useful metric for assessing the accuracy of a hotel's forecasting and planning processes.

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Answer:

You'll never know the answer.

Step-by-step explanation:

You'll never know the answer because there are so many brands of dog food out there.

Answer:

(4a - 5)(4a + 5)

Step-by-step explanation:

Assuming you require to factor the expression

Given

16a² - 25 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

16a² - 25

= (4a)² - 5²

= (4a - 5)(4a + 5) ← in factored form

Answer100 POINTS! (50 split up) PLSSSSSTO GIVE BRAINLIEST AND FIVE STARS AND A THANKS! 6TH GRADE SCIENCE! i used all my points for this!

You measure the mass of an apple using a balance.

There is enough proof to indicate that the percentage of newsletter readers who possess a Rolls Royce is less than 69%.

The null hypothesis is that p = 0.69, meaning that 69% of the newsletter readers own a Rolls Royce. The alternative hypothesis is that p < 0.69, meaning that less than 69% of the newsletter readers own a Rolls Royce.

We can use a one-tailed z-test to test the hypothesis. Assuming a sample size of n = 100, if we observe fewer than 69 Rolls Royces in our sample, we can reject the null hypothesis.

Using a z-test, we can calculate the z-score by using the formula:

z = (p' - p) / sqrt(p * (1 - p) / n)

where p' is the sample proportion, p is the hypothesized proportion, and n is the sample size.

At a significance level of 0.10, the critical z-value is -1.28. If the calculated z-score is less than -1.28, we can reject the null hypothesis.

If we conduct a survey of 100 newsletter readers and find that 58 of them own a Rolls Royce, the sample proportion would be p' = 0.58. Calculating the z-score, we get:

z = (0.58 - 0.69) / sqrt(0.69 * 0.31 / 100) = -1.83

Since -1.83 is less than -1.28, we can reject the null hypothesis and conclude that there is sufficient evidence to suggest that fewer than 69% of the newsletter readers own a Rolls Royce.

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Based on the given steps, the next step would be: Draw a ray PR from point P through point L and extend it further. The correct option is D.

After drawing the ray PR, you can proceed with the remaining steps to complete the construction.

The reason why we draw a ray PR from P through L is that this will create two angles with the same measure. The measure of an angle is the amount of rotation between its two rays. When we draw a ray from P through L, we are essentially rotating the ray PQ by the same amount that we rotated the ray BA. This means that the two angles will have the same measure.

Once we have drawn the ray PR, we can check to see if the two angles are congruent.

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9514 1404 393

Answer:

  21.  3x^2 +7x

  22.  6x^3 +3x

Step-by-step explanation:

21. The perimeter is the sum of the side lengths.

  P = (x^2 +3x +1) +(4x -1) +(2x^2)

  P = x^2(1 +2) +x(3 +4) +(1 -1) . . . . combine like terms

  P = 3x^2 +7x

__

22. The area is the product of the dimensions.

  A = (3x)(2x^2 +1)

  A = 6x^3 +3x . . . . . use the distributive property

The flux of the smooth vector field ~f leaving an infinitesimal cube of volume dv is given by (~∇· ~f) dv. This is derived by finding the divergence of the vector field (~∇· ~f) and multiplying it by the volume of the cube (dv).

=
1. Consider an infinitesimal cube with sides dx, dy, and dz, and volume dv = dx * dy * dz.

2. Calculate the flux through each face of the cube.

3. For the x-faces, the flux is given by (f_x(x+dx, y, z) - f_x(x, y, z)) dy dz.

4. For the y-faces, the flux is given by (f_y(x, y+dy, z) - f_y(x, y, z)) dx dz.

5. For the z-faces, the flux is given by (f_z(x, y, z+dz) - f_z(x, y, z)) dx dy.

6. Add up the fluxes through all faces of the cube.

7. Divide the sum by dv to obtain the average flux per unit volume.

8. Use the definition of the divergence: ~∇· ~f = (∂f_x/∂x) + (∂f_y/∂y) + (∂f_z/∂z).

9. Multiply the divergence by dv to find the total flux leaving the cube: (~∇· ~f) dv.

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Answer:

7 hamsters at 5 pesos each and 13 hamsters at 8 pesos each

Step-by-step explanation:

5x + 8y = 139

x + y = 20

x = 20 - y

5x + 8y = 139

5(20 - y) + 8y = 139

100 - 5y + 8y = 139

100 + 3y = 139

3y = 139 - 100

3y = 39

3y/3 = 39/3

y = 13

x + y = 20

x + 13 = 20

x = 20 - 13

x = 7

If a space rover has a mass of 3900 kg, then its weight on Earth N will be 38220 N.

Weight can be described as the body's relative mass  which can be regarded as the quantity of matter that can be found in the particles of the object and the unit can be written as Newton.

To calculate the weight of a particular particles, we can use the formular (mg) which is that product of the mass of the object to that of the gravity.

from the question, the gravity is been given as  g-9.81m/s

Then the weight = (3900 kg* 9.8) = 38220 N

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Answer:

Step-by-step explanation:

X=59/95

Answer:

2804

Step-by-step explanation:

2504 + 140 + 160 = 2804   (hint: add the 140 + 160 first. It sums up to 300 which is easy to add to 2504)

Answer:

5 3/5

Step-by-step explanation:

14 x 2 = 28,

28/5 = 5 remainder 3

The joint relative frequency of being a middle school student who prefers to play brass instruments is 0.0833 or approximately 8.33%.

To find the joint relative frequency of being a middle school student who prefers to play brass instruments, you need to look at the intersection of the "Middle School" row and the "Brass" column in the table, and then divide that value by the total number of students.

The joint relative frequency represents the proportion of students who fall into both categories (middle school and prefer brass instruments) out of the total number of students.

The joint relative frequency of being a middle school student who prefers to play brass instruments would be:

Joint relative frequency = Number of middle school students who prefer brass instruments / Total number of students

Joint relative frequency = 10 / 120 = 0.0833

So the joint relative frequency of being a middle school student who prefers to play brass instruments is 0.0833 or approximately 8.33%.

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The table shows how many middle school high school students prefer playing each type of instrument. how would you find the joint relative frequency of being a middle school student who prefers to play brass instruments?

Answer:

I think the answer is (8,2)

Step-by-step explanation:

Volume = Length × Width × Height

Volume = 10 × 3 × 2

Volume = 60 cm

Answer:

go to siri

Step-by-step explanation:

go to your phone

go to siri

and ask

In order to determine how many pounds of $7.28 coffe should Mr. May mix with 9 pounds of the $8.40 coffee, you first write the given situation in an algebraic way.

If x is the needed number of pounds $7.28 coffee, 7.28x is the cost of x pounds of such a coffe. This cost, added to the cost of the 9 pounds of $8.40 coffee is equal to y (total cost of both type of coffe).

Then you have:

7.28x + 9(8.40) = y

this is the total price for x pounds of $7.28 coffe and 9 pounds of $8.40.

y/(x + 9) = 7.95

this is the price per pound of the mixed coffe.

Then, you have the following system of equations:

y/(x + 9) = 7.95

7.28x + 9(8.40) = y

To solve for y and x, you proceed as follow:

solve the first equation for y:

y/(x + 9) = 7.95

y = 7.95(x + 9)

y = 7.95x + 71.55

next, you equal the previous equation with the equation 7.28x + 9(8.40) = y, and you solve for x:

7.95x + 71.55 = 7.28x + 9(8.40)

7.95x + 71.55 = 7.28x + 75.6 subtract 7.28x both sides

7.95x - 7.28x + 71.55 = 75.6 subtract 71.55 both sides

7.95x - 7.28x = 75.6 - 71.55 simplify like terms

0.67x = 4.05 divide by 0.67 both sides

x = 4.05/0.67

x = 6.04 ≈ 6

next, you replace the previous value of x in one of the equations:

y = 7.95x + 71.55

y = 7.95(6) + 71.55 = 119.25

Hence, the number of pounds of $7.28 coffee should Mr. May mix with the 9 pounds of $8.40 is 6 pounds.

The set of vectors {x, cos(x)} is linearly independent as per the concept of linearity of vectors.

To determine if the set of vectors {x, cos(x)} in F(-∞, ∞) is linearly dependent, we need to check if there exist scalars c1 and c2, not all zero, such that c1x + c2cos(x) = 0 for all values of x in the given interval.

Let's consider a specific value of x, say x = 0.

Plugging this value into the equation, we have c1(0) + c2cos(0) = 0. Since cos(0) = 1, the equation simplifies to c2 = 0.

Now, considering another specific value of x, say x = π/2, we have c1(π/2) + c2cos(π/2) = 0. Again, cos(π/2) = 0, so the equation simplifies to c1(π/2) = 0. This implies that c1 = 0.

Since c1 = c2 = 0, the only solution to the equation c1x + c2cos(x) = 0 for all x in F(-∞, ∞) is the trivial solution. Therefore, the set of vectors {x, cos(x)} is linearly independent.

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The complete question:

By using appropriate identities, where required, determine which of the following sets of vectors in F(-∞, ∞) are linearly dependent.

a. x, cosx

Answer: The divisors of 20 are 1, 2, 4, 5, 10, and 20. Out of these, only the numbers 1, 2, 4, and 5 are possible outcomes when rolling a standard 6-sided dice.

The probability of rolling any of these four numbers is the total number of favorable outcomes (4) divided by the total number of possible outcomes (6), which gives:

Probability = Favorable outcomes / Total outcomes = 4/6 = 2/3

Therefore, the probability of rolling a 6-sided dice and getting a number that is a divisor of 20 is 2/3 or approximately 0.667.

Step-by-step explanation:

The probability of rolling a six-sided die and getting a result that divides by 20 is 2/6, or around one-third of the time.

There is a 1/3 chance that you will roll a number that divides by 20 when using a six-sided die. There are 6 possible outcomes when a 6-sided die is rolled, however only the numbers 4 and 5 may divide by 20. There are hence 2 positive events and a total of 6 occurrences that could take place. When the number of successful outcomes is divided by the total number of possible outcomes, the probability is 2/6, or 1/3

Because just one-third of results are likely to meet the criteria, the likelihood of rolling a number on a 6-sided die that is a divisor of Twenty is minimal.

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Answer:

672 had dark hair, 592 had blond hair, and 48 had red hair

Step-by-step explanation:

To solve this problem, we need to first find the total number of people for each hair color based on the given ratio.

Let's start by finding the common factor that we can use to scale the ratio up to the total number of people, which is 1,312:

42 + 37 + 3 = 82

We can then divide 1,312 by 82 to get the scaling factor:

1,312 ÷ 82 = 16

This means that for every 16 people, there are 42 with dark hair, 37 with blond hair, and 3 with red hair.

To find the actual number of people with each hair color in the town meeting, we can multiply the scaling factor by the number of people for each hair color in the ratio:

Dark-haired people: 42 × 16 = 672

Blond-haired people: 37 × 16 = 592

Red-haired people: 3 × 16 = 48

Therefore, there are 672 people with dark hair, 592 people with blond hair, and 48 people with red hair at the town meeting.