Please answer and show work, have a blessed day!

Gregs's mom baked 24 cookies, while Vinnie's mom baked 36 cookies. Brad's mom baked twice as much as Greg's mom, resulting in a total of 48 cookies. The total number of cookies that were baked is found by adding the number of cookies that each mom baked:

24 + 36 + 48 = 108.

The cookies can be divided into 3 groups of 36, 4 groups of 27, 6 groups of 18, 9 groups of 12, 12 groups of 9, 18 groups of 6, 27 groups of 4, or 36 groups of 3 cookies. Since there are more than 100 words required, let's talk about the importance of fractions and equivalent ratios.

In conclusion, Greg's mom baked 24 cookies, Vinnie's mom baked 36 cookies, and Brad's mom baked 48 cookies, resulting in a total of 108 cookies. The cookies can be divided into fractions or equivalent ratios to distribute them evenly among the children.

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The following data shows the daily production of cell phones. 7, 10, 12, 15, 18, 19, 20. Mean The formula for finding the mean is: mean = (sum of observations) / (number of observations).

Therefore, the mean for the daily production of cell phones is: Mean = (7+10+12+15+18+19+20) / 7

= 101 / 7

Mean = 14.43

Variance The formula for finding the variance is: Variance = (sum of the squares of the deviations) / (number of observations - 1) Where the deviation of each observation from the mean is: deviation = observation - mean First, calculate the deviation for each observation:7 - 14.43

= -7.4310 - 14.43

= -4.4312 - 14.43

= -2.4315 - 14.43

= 0.5718 - 14.43

= 3.5719 - 14.43

= 4.5720 - 14.43

= 5.57

Now, square each of these deviations: 56.25, 19.62, 5.91, 0.33, 12.75, 20.9, 30.96 The sum of these squares of deviations is: 56.25 + 19.62 + 5.91 + 0.33 + 12.75 + 20.9 + 30.96

= 147.72

Therefore, the variance for the daily production of cell phones is: Variance = 147.72 / (7-1) = 24.62 Standard deviation ) Mean = 14.43b) Variance per Day = 24.62c) Standard Deviation = 4.96

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Answer:

Statements 1, 3, and 5

Step-by-step explanation:

$480 = 12 days

To find daily sales, we want to figure out how much is made in 1 day. To do this, we can divide both sides by 12 to keep both sides equal but turn 12 days into 1. Thus, we have

$480/12 = 12/12 days

$40 = 1 day

We can go through the statements one by one.

1. $120 = 3 days

Does this match up with $40 = 1 day?  

Multiply $40 = 1 day by 3 on both sides to compare the two dollar amounts. We get

$120 = 3 days.

The statements match up so this is correct

2. $240 = 7 days

Multiply $40 = 1 day by 7 on both sides

$280 = 7 days

This is false

3. $440 = 11 days

Multiply both sides of $40 = 1 day by 11

$440 = 11 days

This is correct

4. $500 = 13 days

Multiply both sides of $40 = 1 day by 13

$520 = 13 days

This is incorrect

5. $640 = 16 days

Multiply both sides of $40 = 1 day by 16

$640 = 16 days

This is correct

6. $960 = 22 days

Multiply both sides of $40 = 1 day by 22

$880 = 22 days

This is incorrect

under the restrictions that c is negative to ensure strict concavity, the utility function u(w) = -(b - w)c displays increasing absolute risk aversion.

To ensure that u(w) is strictly increasing, we need the derivative of u(w) with respect to w to be positive for all values of w. Taking the derivative, we have du(w)/dw = -c. For u(w) to be strictly increasing, -c must be positive, which implies c must be negative.

To ensure that u(w) is strictly concave, we need the second derivative of u(w) with respect to w to be negative for all values of w. Taking the second derivative, we have d²u(w)/dw² = 0. Since the second derivative is constant and negative, u(w) is strictly concave.

Now, let's examine the concept of increasing absolute risk aversion. If a utility function u(w) exhibits increasing absolute risk aversion, it means that as wealth (w) increases, the individual becomes more risk-averse.

In the given utility function u(w) = -(b - w)c, when c is negative (as required for strict concavity), the absolute risk aversion increases as wealth (w) increases. This is because the negative sign implies that the utility function is concave, indicating that the individual becomes more risk-averse as wealth increases.

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Congruent quadrilateral related parts are congruent.

The true statements are:

Statements 2, 4, and 6 are Not Congruent

Statements 1, 3, and 5 are Congruent

Two triangles are said to be congruent if their corresponding sides and angles are equal.

From the given figure:

Quadrilaterals 1, 2 and 4 are congruent

Quadrilateral 3 is not congruent to any of the other quadrilaterals.

The true statements are:

Quadrilateral 1 and quadrilateral 2 Congruent

Quadrilateral 1 and quadrilateral 3 Not Congruent

Quadrilateral 1 and quadrilateral 4 Congruent

Quadrilateral 2 and quadrilateral 3 Not Congruent

Quadrilateral 2 and quadrilateral 4 Congruent

Quadrilateral 3 and quadrilateral 4 Not Congruent

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Answer:

h/4=h-5

Step-by-step explanation:

quotient means divide

less means subtract

is means equal

Answer:

Adjacent

Step-by-step explanation:

Since angle a and b are right next to each other, they would be adjacent.

Answer:

x ≤ 17

Step-by-step explanation:

Pick up fee = 2.80

Cost per mile = 1.25

Total cost = $24.05

Number of miles ride, x

Pickup fee + mile per ride * number of ride ≤ total cost

2.80 + 1.25x ≤ 24.05

1.25x ≤ 24.05 - 2.80

1.25x ≤ 21.25

x ≤ 17

Number one of miles ride x ≤ 17

The amount of interest for the year was 3,770 cents, and the regular price of the electric drill that Pamela bought before the discount was 21,927 cents

Interest = P x R x T.

Where:

P = Principal amount (the beginning balance).

R = Interest rate

T = Number of time periods

In this case, we are given that;

Principal amount (P) = $580

Interest rate (R) = 6,5 %

Time = 1 year

Hence, The amount of the interest = 6,5% of $580

                                                     = 0.065 × $580

                                                     = $37.7

1 dollar = 100 cents

Hence, $37.7 = 37.7 × 100 cents equal to 3,770 cents

P = (1 – d) x

Where,

P = Price after discount

D = discount rate

X = regular price

In this case, we are given that:

P = $32.89

D = 85% = 0,85

Hence, the regular price:

P = (1 – D) x

32.89 = (1 – 0.85) X

32.89 = 0.15X

X = 32.89/0.15

X= 219.27

1 dollar = 100 cents

Hence, $219.27 = 219.27 × 100 cents equal to 21,927 cents

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Using a system of equations, it is found that the original number of students in Group B was of 120.

A system of equations is a set of equations involving multiple variables that are related, and then operations are made to solve these equations and identify the numeric value of each variable.

In the context of this problem, the variables are described as follows:

There are 270 total students, hence:

x + y = 270.

x = 270 - y. (as we want to find y).

If 30 students move to Group B from Group A, then there will be twice as many students in Group A as in Group B, hence:

x + 30 = 2(y - 30).

Replacing the relation of the first equation on the second, it is found that:

270 - y + 30 = 2y - 60

3y = 360

y = 360/3

y = 120.

The original number of students in Group B is of 120.

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True, the standard deviation is a resistant measure of spread.

The standard deviation is calculated as the square root of the variance of the data set. Variance is calculated as the average of the squared differences between each data point and the mean of the data set. The standard deviation is the square root of this average.

In mathematical terms, the standard deviation can be calculated using the following formula:

σ = √(1/n ∑(x - μ)²)

Where σ is the standard deviation, n is the number of data points in the data set, x is the value of the i-th data point, and μ is the mean of the data set.

The standard deviation is an important measure because it gives an idea of how much the individual values in a data set differ from the mean.

In summary, the standard deviation is a resistant measure of spread because it gives a robust measure of the spread of the data in a set and is not easily influenced by outliers or extreme values.

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The weight of an offensive linesman being a distribution based on a continuous range of values makes it a continuous random variable. A.

The weight of an offensive linesman can take any value between 200 and 350 pounds.

Since weight can have an infinite number of possible values within this range, it is considered a continuous random variable.

A discrete random variable, on the other hand, would be one where the possible values are countable and finite, such as the number of touchdowns scored in a game.

A qualitative variable refers to a non-numerical characteristic or attribute, such as the color of a player's jersey or their position on the team.

Weight, in this case, is a numerical measurement and not a qualitative variable.

An offensive lineman's weight can range anywhere between 200 and 350 pounds.

Weight is regarded as a continuous random variable since it has an endless number of potential values within this range.

On the other hand, a discrete random variable would be one whose potential values are countable and finite, like the total number of touchdowns scored in a match.

A qualitative variable is a non-numerical trait or quality, such as a player's position on the squad or the colour of their shirt.

Weight is not a qualitative characteristic in this context; it is a numerical measurement.

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The value x in the formula represents the value of each observation of the data-set.

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Answer:

n =   -b                    a

        ⁻           +        ⁻

        13                  13

The athlete that has the shortest training ride is athlete A.

The athlete that has the shorter range is Athlete B.

The athlete that has the greater median is Athlete B.

The athlete that has the greater IQR is  athlete A.

A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. the two lines are known as whiskers. The first whisker represents the minimum number and the second whisker represents the maximum number. The difference between the whiskers is known as range.

Range of Athlete A = 36 - 13 = 13

Range of Athlete B = 30 - 19 = 11

Training ride of  Athlete A = 16

Training ride of  Athlete B = 21

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.

Median of  Athlete A = 20

Median of  Athlete B = 25

IQR of  Athlete A = 30 - 16 = 14

IQR of  Athlete B = 28 - 21 = 7

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Both expressions can be used to find pairs of x and y values that satisfy the equation -4x + 7y = 26. However, a unique solution can only be found if there is an additional equation involving x and y.

To find the solution to the equation -4x + 7y = 26, we'll need to determine the values of x and y that satisfy the equation. However, since there are two variables (x and y) and only one equation, we cannot find a unique solution for x and y. We need another equation involving x and y to find a unique solution, which would create a system of linear equations.

Nonetheless, we can still express y in terms of x or x in terms of y.

Let's express y in terms of x:

1. Add 4x to both sides of the equation:

-4x + 7y + 4x = 26 + 4x
7y = 4x + 26

2. Divide both sides by 7:
y = (4x + 26) / 7

Now we have y in terms of x. Similarly, we can express x in terms of y:

1. Subtract 7y from both sides of the equation:
-4x = -7y + 26

2. Divide both sides by -4:
x = (7y - 26) / 4

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Answer:

D

Step-by-step explanation:

add all together = 140

make a proportion

59/140=x/300

cross multiply

140x=17700

126.4285

Answer:

the second one

Step-by-step explanation:

The value of the double integral is 56.

Evaluate the double integral?

To evaluate the double integral of \(3x^2\) over the region R, which is the rectangle bounded by the lines x = -1, x = 3, y = -2, and y = 0, we set up the integral as follows:

∬R \(3x^2\) dA

Since R is a rectangle, we can express the double integral as an iterated integral. First, we integrate with respect to y and then with respect to x:

∫[-2, 0] ∫[-1, 3] \(3x^2\) dx dy

Integrating with respect to x, we get:

∫[-2, 0] [\(x^3\)] [-1, 3] dy

∫[-2, 0] (\(3^3\) - (-1)^3) dy

∫[-2, 0] (27 - (-1)) dy

∫[-2, 0] (28) dy

[28y] [-2, 0]

28(0) - 28(-2)

0 + 56

56

Therefore, the value of the double integral is 56.

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To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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San ine to you bhai account and I will

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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Answer:\(6\pi\)

Step-by-step explanation:

240/360 can be simplified to 2/3. r^2 can be substituted for 9, and 2/3*9 is 6.

Answer:

y = -3/4 x + B

Step-by-step explanation:

B is the translation of the line across y-axis

If the diagonal of a rhombus id x-4d and x+ 4d then the area of rhombus is (x² - 16d²) / 4 unit²

In a rhombus, the diagonals are perpendicular bisectors of each other, and they divide the rhombus into four congruent right triangles. Let's call the length of one half of the diagonal "a" and the length of the other half of the diagonal "b". So we have:

a = (x - 4d) / 2

b = (x + 4d) / 2

The area of a rhombus can be calculated as half the product of its diagonals, or as half the product of its side lengths:

Area = (1/2) × a × b × 2

Area = a × b

Substituting the expressions for "a" and "b" from above, we get:

Area = [(x - 4d) / 2] × [(x + 4d) / 2]

Area = (x² - 16d²) / 4

Therefore, the area of the rhombus is (x² - 16d²) / 4 square units.

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The shape of the cross-section formed when a plane containing line AC and line EH intersects the cube is a rectangle.

Note that the Area of the cross-section = 16 sqrt(2) = 22.63 sq. units. The justification for this is the properties of the Cubes.

Mathematically, we can righty state that Diagonals AC and EH are congruent .....(C)

Given the justification by (A), congruent top and bottom faces, let us look at the cross-section ACHE.

AC is congruent and parallel to  EH   (A) & (C)

EA & HC are perpendicular to AC      (B)

Hence, the quadrilateral ACHE is a rectangle.

Step 2

Length of diagonal AC = sqrt(4^2+4^2) = 4 sqrt(2)  Pythagoras theorem.

AE = CH = DG = 4    We state this because the of the properties of cube, all sides equal;

Hence, the Area of ACHE = 4* 4sqrt(2) = 16 sqrt(2)

= 22.63 sq. units

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Answer:

I think the answer would be

V≈7238.23cm³

Answer:

2304π or 7238.229474 cm^3

Step-by-step explanation:

To find the volume of a sphere use this formula.

\(V = \frac{4}{3} \pi r^3\)

4/3 * π * 12^3 = 4/3 * π * 1728

4/3 * 1728 = 2304

2304 * π = 2304π

Or it can be 7238.229474 cm^3

SO the final answer is 2304π  or 7238.229474 cm^3

Hope it helped! My answer is expert verified.

The value of x is 19.44

Similar triangles are triangles that have the same shape, but their sizes may vary.

For two triangles to be similar, the corresponding angles must be congruent and also, the ratio of the corresponding sides of similar triangles are equal,

therefore,

27/9x-13 = 15/90

27 × 90 = 15(9x-13)

2430 = 135x - 195

collecting like terms

2430+195 = 135x

2625 = 135x

divide both sides by 135

x = 2625/135

x = 19.44

therefore the value of x is 19.44

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