Put these four fractions in order from smallest to largest: 114, 2/3, 4/7, 112
A. 1/4, 1/2, 417, 2/3
B. 1/4, 1/2, 2/3, 417
C. 1/2, 2/3, 1/4,
D. 1/4,4/7, 1/2, 2/3

This recipe should serve 4 people, each with a serving size of around 3/4 cup of cooked oatmeal.

If a recipe of oatmeal which serves 4 people uses 3 cups of rolled oats, you can follow these steps to make it:

Ingredients:

- 3 cups of rolled oats

- 4 cups of water or milk

- 1/2 teaspoon of salt

- Toppings of your choice (e.g. honey, fruits, nuts, etc.)

Instructions:

1. In a medium saucepan, bring the water or milk and salt to a boil.

2. Add the rolled oats and stir well.

3. Reduce heat to low and let the oats simmer for about 5-7 minutes, stirring occasionally, until they are soft and creamy.

4. Remove from heat and let it sit for a minute or two to thicken.

5. Serve the oatmeal into bowls and add toppings of your choice. Enjoy!

This recipe should serve 4 people, each with a serving size of around 3/4 cup of cooked oatmeal. You can adjust the recipe according to your desired serving size or consistency.

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On average, students using method 1 score between 6.46 and 11.94 points higher than students using method 2.

To find the critical value for constructing the 95% confidence interval, we need to use a t-distribution since the sample sizes are relatively small and the population standard deviations are not known.

The degrees of freedom for the t-distribution can be calculated using the following formula:

df = [(s1^2/n1 + s2^2/n2)^2] / [((s1^2/n1)^2)/(n1-1) + ((s2^2/n2)^2)/(n2-1)]

where s1 and s2 are the standard deviations for method 1 and method 2, n1 and n2 are the sample sizes for method 1 and method 2, and df represents the degrees of freedom.

Substituting the given values, we get:

df = [(5.87^2/169 + 17.66^2/128)^2] / [((5.87^2/169)^2)/(169-1) + ((17.66^2/128)^2)/(128-1)]

= 249.00

Using a t-table with 249 degrees of freedom and a 95% confidence level, we find the critical value to be 1.971.

Therefore, to construct the 95% confidence interval for the true difference between testing averages for students using method 1 and students using method 2, we can use the following formula:

CI = (x1 - x2) ± t*(sqrt(s1^2/n1 + s2^2/n2))

where x1 and x2 are the sample means for method 1 and method 2, s1 and s2 are the standard deviations for method 1 and method 2, n1 and n2 are the sample sizes for method 1 and method 2, and t is the critical value we just calculated.

Substituting the given values, we get:

CI = (81.7 - 72.5) ± 1.971*(sqrt(5.87^2/169 + 17.66^2/128))

= 9.2 ± 2.74

= (6.46, 11.94)

Therefore, we can be 95% confident that the true difference between the mean testing scores for method 1 and method 2 lies between 6.46 and 11.94.

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Answer:

Step-by-step explanation:

You're welcome

The width of the rectangle whose length of one side is 7.8 feet and the area enclosed is 5 feet is given as 40/7 feet.

Area refers to the field on the ground which is enclosed by the closed polygon. It is defined within the boundary of the closed polygon. Open polygons cannot have a deterministic area. In the given problem, the length of one side is 7/8 feet and the area of the rectangle is 5 feet.

It is known that area of rectangle is equal to the product of its length and its width.

∴Area of rectangle = Length × width

⇒ 5 = 7/8 × width

⇒ width = (5 × 8)÷7 = 40/7 feet

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Answer:  Simplify the expression.

12x+6

Step-by-step explanation:

your answer is 12x+6

The ordered pair that corresponds to the given pair of parametric equations and t = 2 is (13, 0).

We are given the pair of parametric equations:

x = 4t + 5

y = -2t + 4

and we need to find the ordered pair (x,y) when t = 2.

Substituting t = 2 into the equations, we get:

x = 4(2) + 5 = 13

y = -2(2) + 4 = 0

Therefore, the ordered pair that corresponds to the given pair of parametric equations and t = 2 is (13, 0).

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Answer:

Para calcular el trabajo necesario para mover la partícula alfa al punto medio de uno de los lados del cuadrado, necesitamos conocer la carga de cada electrón y la distancia que separa la partícula alfa de cada uno de ellos.

Sin embargo, en la pregunta no se especifica la carga de los electrones, por lo que no es posible responder con exactitud. Además, la solución dependería de la dirección en la que se mueve la partícula alfa y de la configuración de los electrones en el cuadrado.

En resumen, la pregunta no proporciona información suficiente para calcular el trabajo necesario para mover la partícula alfa al punto medio de uno de los lados del cuadrado.

Answer:

Point form:

(11/7, -5/7)

Equation form:

x = 11/7, y = -5/7

Answer:

h = -3y + 2x

Step-by-step explanation:

Add 4x to both sides of the equation.

2h = −6y + 4x

Divide each term in 2h = −6y + 4x by 2 and simplify.

Divide each term in 2h = −6y + 4x by 2.

2h/2 = -6y/2 + 4x/2

Simplify the left side.

h = −6y/2 + 4x/2

Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.

h = -3y+2(2x)/2

Cancel the common factors.
Factor 2 out of 2.

h = -3y+2(2x)/2(1)
Cancel the common factor

h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1

Divide 2x by 1.
h = -3y + 2x

hopefully its right LOLZ

Answer:

0.85 < 8/9 < 0.92

Step-by-step explanation:

Hope this helps!!

Answer:

It's 8/9 I think but please correct me if I am wrong.

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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The population of the town in 5 years will be approximately 28,982.

A data pattern known as exponential growth exhibits faster expansion over time. Compounding generates exponential profits in finance. Exponential growth is possible in savings accounts with a compounding interest rate. Compound returns in finance lead to exponential development. One of the most potent forces in finance is the power of compounding. With the help of this idea, investors may generate sizable sums with little start-up money. Compound interest savings accounts are typical instances of exponential development.

Given that, population of a town increases by 3% each year.

The population after 5 years is calculated by:

Population in 5 years = Initial population x (1 + rate) raised to time.

That is,

Population in 5 years = 25,000 x (1 + 0.03)⁵

Population in 5 years = 25,000 x 1.159274

Population in 5 years = 28,981.85

Hence, the population of the town in 5 years will be approximately 28,982.

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Answer:

X= -1 y= -2

Step-by-step explanation:

y= 3x+1

y-1 =3x

X= y-1/3...(1)

-x+2y= -3

-(x-2y)= -3

x-2y=3

(y-1/3)-2y =3 (from eq (1))

y-1-6y =3×3

-5y= 10

y= -2

X= y-1/3

= -2-1/3

x = -1

Answer:

Step-by-step explanation:

The best measure of center for this data is the median, and its value is 49.

What is the median in statistics?

In statistics, the median is a measure of central tendency that represents the value separating the higher half of a dataset from the lower half.

To find the median of a dataset, the values must first be arranged in order of magnitude. If the dataset has an odd number of values, the median is the middle value. If the dataset has an even number of values, the median is the average of the two middle values.

To determine the best measure of center for this data, we need to consider the shape of the distribution. Looking at the histogram, we can see that the data is skewed to the right, with a long tail of higher values.

In this case, the median is the best measure of center, because it is not affected by the extreme values in the dataset. The median is the middle value of the dataset when it is arranged in order, and in this case, the middle value is between 49 and 50. Since there are an even number of data points, we take the average of the two middle values, which gives a median of 49.

We are given that;

The list of donation is as follows

11, 18, 35, 39, 45, 45, 46, 47, 49, 49, 50, 50, 50, 50, 56, 57, 58, 59

Now,

Mean is the middle term of the data

Here,

Middle term of data = 49

Therefore, the mean of the given list will be 49.

Therefore, the best measure of center for this data is the median, and its value is 49.

Answer:A perimeter is the sides of a shape added together.

Step-by-step explanation:

Answer:

The perimeter of a rectangle is the total length of all the sides of the rectangle.

Step-by-step explanation:

The perimeter of a rectangle is the total length of all the sides of the rectangle. We can find the perimeter by adding all four sides of a rectangle. Since opposite sides of a rectangle are always equal, we need to find the dimensions of only two sides to find the perimeter of a rectangle.

If you have a 2 inches by 4 inches rectangle, you would have 2 inches + 4 inches + 2 inches + 4 inches = 12 inches

Both the white longhair female cat (w/w; l/l) and the black shorthair male cat (w/w; l/l) are homozygous for the white coat color (w/w) and the longhair trait (l/l).

When these cats mate, all the kittens will inherit one allele for each trait from each parent. Since both parents are homozygous for the white coat color (w/w), all kittens will also inherit the white coat color gene from both parents, resulting in white kittens (w/w). Similarly, both parents are homozygous for the longhair trait (l/l), so all kittens will inherit the longhair allele from both parents, making them longhair kittens (l/l).

In conclusion, all 12 kittens will have a white coat color and long hair, just like their parents. They will look like white longhair kittens, with the genotype (w/w; l/l) for both traits. It is important to remember that being a responsible pet owner includes spaying or neutering your pets to prevent unwanted litters, and finding loving homes for any kittens or puppies that may be born.

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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The total volume in Cr is 688,500 cubic yards.

The calculation of the area at each station in square feet (sf), and then calculating the volume between each station and the prior station in cubic yards (cy) by adding up the volumes to come up with the total volume in Cr, is as follows:

Given data:

Spacing between the stations = 50 feet

Length of each station = 100 feet

Depth of each station = 1.5 feet

Area of each station = 2 (h1 + h2) × w

where

w = width of the trapezoid,

h1 = depth at the beginning,

h2 = depth at the end

The depth at the beginning

h1 = 1.5 feet

The depth at the end h2 is given by the equation:

h2 = 2.5 - (0.025 × x),

where x is the distance from the starting point in feet.

At x = 0,

h2 = 2.5 - (0.025 × 0)

= 2.5 feet

At x = 50,

h2 = 2.5 - (0.025 × 50)

= 1.25 feet

At x = 100, h2

= 2.5 - (0.025 × 100)

= 0 feet

Now we can calculate the areas as follows:

Area at station 1 = 2 (1.5 + 2.5) × 50

= 200 sf

Area at station 2 = 2 (1.5 + 1.25) × 50

= 150 sf

Area at station 3 = 2 (1.5 + 0) × 50

= 150 sf

Next, we need to calculate the volume between each station and the prior station in cubic yards (cy) using the formula:

Volume (net cy) = 2 (A1 + A2) × 27L

where A1 and A2 are the areas of the two adjacent stations, and L is the spacing between them.

Using this formula, the volume between station 1 and 2 is:

Volume (net cy) = 2 (200 + 150) × 27 × 50

= 364,500 cy

The volume between station 2 and 3 is:

Volume (net cy) = 2 (150 + 150) × 27 × 50

= 324,000 cy

Therefore, the total volume in Cr is:

364,500 cy + 324,000 cy

= 688,500 cy

So the total volume in Cr is 688,500 cubic yards.

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Answer:

The correct answer would be $126.00

Step-by-step explanation:

If you see how many times 40% goes into 100%, it would be 2.5 times. Then you multiply the 40% of the overall price ($50.40) times 2.5 and that gives you $126.

Hope this helps!!

Sarah has some evidence against the null hypothesis, but it is not strong.

The p-value of 0.072 indicates that Sarah has some evidence against the null hypothesis, but it is not strong enough to reject it completely. In hypothesis testing, the null hypothesis assumes that there is no relationship or dependence between the variables being tested. The alternative hypothesis, on the other hand, suggests that there is a relationship or dependence.

The p-value represents the probability of obtaining a test statistic as extreme as the one observed, assuming the null hypothesis is true. In this case, a p-value of 0.072 means that there is a 7.2% chance of obtaining a test statistic as extreme as the one observed, assuming that the variables are independent.

Typically, a p-value below a predetermined significance level (e.g., 0.05) is considered strong evidence against the null hypothesis. However, in this case, since the p-value is greater than the significance level, we do not have enough evidence to reject the null hypothesis.

Therefore, while Sarah's results provide some evidence against the null hypothesis, it is not strong enough to conclude that there is a significant relationship between the variables being tested. Further investigation or additional data may be required to draw stronger conclusions.

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Answer: h>0 and k>0

Step-by-step explanation:

If the circle is centered in Quadrant I, then both the x and y coordinates of the center are positive.

This means that h>0 and k>0.

Answer:

It is not a Function!

Step-by-step explanation:

The easiest way to tell if a graphed line is a function is the Vertical Line Test. If you draw a vertical line across the original line given and it only crosses through a curve once, then it is a function. If it crosses it more than once, it is not a function.

If you drew a line through this graph, it would touch more than one curve at a time, confirming it as a non- function.

Regards!

Answer:

11.067971816667cm³

Step-by-step explanation:

The coefficient of determination measures the fraction of variability in the values of y that is explained by the least-square regression of y on x.

The fraction of variance of the regressand y cannot be explained, i.e., which is not correctly predicted by the explanatory variables x.

Fraction of variance forms the ratio of mean squared prediction error over the total variance of the response (except subtracting off an estimate of trial-to-trial variability from both) and subtracts this ratio from one.

Regression involves the determination of the degree of relationship in the patterns of variation of two or more variables through the calculation of the coefficient of correlation, r.

Therefore the fraction of the variation in the values of a response y that is explained by the least-squares regression of y on x is the coefficient of determination.

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Answer:

x=5

Step-by-step explanation:

7x - 4y = 23 and x + y = 8

Multiply the second equation by 4

4x + 4y = 32

Add this to the first equation

7x - 4y = 23

4x + 4y = 32

------------------------

11x    = 55

Divide each side by 11

11x/11 = 55/11

x = 5

Answer:

\(\huge\boxed{x=5}\)

Step-by-step explanation:

\(\left\{\begin{array}{ccc}7x-4y=23\\x+y=8&|\text{subtract}\ x\ \text{from both sides}\end{array}\right\\\left\{\begin{array}{ccc}7x-4y=23&(1)\\y=8-x&(2)\end{array}\right\\\\\text{substitute (2) to (1):}\\\\7x-4(8-x)=23\qquad|\text{use the distributive property}\\\\7x+(-4)(8)+(-4)(-x)=23\\\\7x-32+4x=23\qquad|\text{combine like terms}\\\\(7x+4x)-32=23\qquad|\text{add 32 to both sides}\\\\11x-32+32=23+32\\\\11x=55\qquad|\text{divide both sides by 11}\\\\\dfrac{11x}{11}=\dfrac{55}{11}\\\\x=5\)

Answer:

5/2

Step-by-step explanation:

To find a slope you use rise over run.

The graph shows that you rise 5 for every 2 right.

Answer:

D: Skew

Step-by-step explanation:

Answer:

numbers like 9.58596638927, pi, square root of 2, or square root of 11