Write the sum of the numbers as a product of their GCF and another sum using the distributive property.42 + 36

The total cost of the new outfits for all the members is $264. So, the correct answer is option A.

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

Given that, the shirts are $21, the pants are $26, the hats are $6 and the canes are $13.

Here, the cost of outfits for a person is

(21+26+6+13)=66

The cost of outfits for the four members is

66×4=$264

Therefore, option A is the correct answer.

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Answer:

B) 82 degrees

Step-by-step explanation:

360-108-92-78=82

Answer:

Multiplying both numbers will give;

Explanation:

We want to solve the expression;

Solving;

Multiplying both numbers will give;

After considering the given data we conclude that the perimeter of the given swimming pool is 23 meters which is Option A.

The perimeter of a rectangle is evaluated by adding up all its sides. For the given case, we possess a rectangle with sides
a = 5m,
b = 8m,
c = 8m and
d = 2m.
Perimeter regarding the swimming pool is evaluated as
a + b + c + d
= 5m + 8m + 8m + 2m
= 23 meters
Hence the option regarding the question which satisfy the perimeter is Option A.
Perimeter the counted  measurement regarding the distance around the outside of a two-dimensional shape. In this system  the length of the outline or boundary of any two-dimensional geometric shape is defined as perimeter .
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The complete question is
If a = 5m, b = 8 m, c = 8 m, and d = 2 m, what is the perimeter of the swimming pool?
A.23 m
B. 32 m
C.29 m
D.34 m

Answer:

-2/3

Step-by-step explanation:

I think this would help u

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Answer:

  A. 4,5

Step-by-step explanation:

No x-value can be repeated if the relation is to remain a function. The x-values already in the table are {-4, -2, 0, 2}. This list eliminates all answer choices except the first one: (4, 5) may be added to the table.

The direction of vector a1 is found as: Ф = 75° with the x -axis, measured counterclockwise from that axis.

The stated vector is (-7.765,28.978)

Angle made is estimated by the formula:

Ф = tan ⁻¹ (y/x)

In which,

y = 28.978

x = -7.765

Put the given values;

Ф = tan ⁻¹ ( 28.978/-7.765)

Ф = - 74.99

Ф = 75°

So, the direction of the vector a1 is found as: Ф = 75° with the x -axis, measured counterclockwise from that x-axis.

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The complete question is-

let the direction of a vector be the angle that the vector makes with the x -axis, measured counterclockwise from that axis. find the direction of the vector a1 -  (-7.765, 28.978)

The proof of ΔRUV ≅ ΔSUT is shown below.

Given that:

RSTV is a rectangle and U is the midpoint of VT.

Here, We have to Prove:

⇒ ΔRUV ≅ ΔSUT

Now, We can prove as;

Statement                               Reason

1) RSTV is a rectangle               Given

2) Angle V and T are                Because every angle in a rectangle is 90

right triangle.

3) ∠V ≅ ∠T                               Because both are right angle.

4) U is the midpoint of VT.        Given

5) VU = UT                                By midpoint theorem.

6) VR ≅ TS                                Opposite sides of rectangle.

7) ΔRUV ≅ ΔSUT                       By SAS congruency theorem.

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In this case, the slope value of 25 gallons/mile indicates that the car has relatively low fuel efficiency.

What is Slope ?

In mathematics, the slope of a line is a measure of how steep the line is. It is defined as the ratio of the change in the vertical coordinate (y-coordinate) of two points on the line to the change in the horizontal coordinate (x-coordinate) of those same two points.

Using the data in the table, we can calculate the slope of the line that runs through the points by using the formula for slope:

slope = change in y / change in x

where y represents the gallons of fuel remaining and x represents the distance traveled in miles.

From the table, we can see that the change in y (gallons of fuel remaining) from one row to the next is always -1 gallon, and the change in x (distance traveled) is always -0.04 mile. Therefore, we can calculate the slope as:

slope = (-1 gallon) / (-0.04 mile) = 25 gallons/mile

The slope of the line is 25 gallons/mile, which means that for every mile traveled, the car will use up 25 gallons of fuel.

Interpreting the slope in the context of the problem, we can say that the slope represents the rate at which the car uses up fuel, or the car's fuel efficiency. A higher slope value indicates that the car has lower fuel efficiency, while a lower slope value indicates that the car has higher fuel efficiency.

Therefore, In this case, the slope value of 25 gallons/mile indicates that the car has relatively low fuel efficiency.

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Answer:

\( \to 5 \times \dfrac{3}{4} \\ \\ \to \dfrac{5 \times 3}{4} \\ \\ \to \dfrac{15}{4} \\ \\ \to \pmb{ 3 \dfrac{3}{4}}\)

\( \to 2 \times 1 \dfrac{1}{2} \\ \\ \to 2 \times\dfrac{3}{2} \\ \\ \to \dfrac{2 \times 3}{2} \\ \\ \to \dfrac{6}{2} \\ \\ \to \pmb{3}\)

The total area of the figure is 528 square feet, which is closest to 440 square feet, so the answer is 440 ft2.

The five-sided figure is a trapezoid with two parallel sides, so we can use the formula for the area of a trapezoid to find the total area.

Area of a trapezoid = (sum of the lengths of the two parallel sides) / 2 * height

Let's call the length of the longer parallel side "L". Then the height of the figure is 22 feet, and the length of the shorter parallel side is 16 feet.

Area = (L + 16) / 2 * 22

We also know that the portion from the vertex to the perpendicular height is 8 feet, and the portion from a point to a vertical line created by two vertices is 4 feet. These two lengths form a right triangle, so we can use the Pythagorean theorem to find the length of the longer parallel side, L.

L² = (8 + 4)² = 64

L = 8

Now we can use the formula for the area of a trapezoid to find the total area.

Area = (L + 16) / 2 * 22 = (8 + 16) / 2 * 22 = 24 * 22 = 528

The total area of the figure is 528 square feet, which is closest to 440 square feet, so the answer is 440 ft2.

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Answer: D 11.9

Step-by-step explanation:

To find the height of the flower pot 3 seconds after it falls, we need to substitute t=3 in the given function H(t) and calculate the value.

H(3) = 56 - 4.9(3)^2

H(3) = 56 - 4.9(9)

H(3) = 56 - 44.1

H(3) = 11.9

Therefore, the height of the flower pot, in meters, 3 seconds after it falls is 11.9 meters.

The answer is option D, 11.9.

Answer:

1/3 × 4/3

Step-by-step explanation:

because

if a/b ÷ c/d

the behind one > c/d >must change to > d/c

so a/b × d/c

Answer:

score = 69

Step-by-step explanation:

to work this out we use the formula z = (x - υ) / σ

where z is the z-score, x is the observed value, υ is the mean and σ is the standard deviation.

1.8 standard deviations below mean means -1.8

z= (x - υ) / σ

-1.8 = (x - 105) / 20

-1.8 (20) = x - 105

-36 = x - 105

x = -36 + 105

 = 69

our test score 1.8 standard deviations below the mean is 69

A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The coefficient of the highest degree term (x^5) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and \(x^{2}\) + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

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A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The coefficient of the highest degree term (\(x^{5}\)) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and  + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

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Answer:

y = 1/4x + 11/4

Step-by-step explanation:

Given the slope, m = 1/4, and the point, (1, 3):

We can substitute these values into the slope-intercept form, y = mx + b, in order to solve for the y-intercept.  

The y-coordinate (b) of the point, (0, b ) is the y-intercept of the line where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

y = mx + b

3 = 1/4(1) + b

3 = 1/4 + b

Subtract 1/4 from both sides:

3 - 1/4 = 1/4 - 1/4 + b

11/4 = b

The y-coordinate, b, of the y-intercept is 11/4.

Therefore, the slope-intercept form is: y = 1/4x + 11/4

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Answer:

138+(3*52)

3*52=156

138+156=294

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Step-by-step explanation:

Answer:The reciprocal of 2/3 is 3/2. The product of 2/3 and its reciprocal 3/2 is 1.

Step-by-step explanation:

The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

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Answer:

  A.  2.9π(9²)

Step-by-step explanation:

You are expected to know that the area of a circle is given by the formula ...

  A = πr²

and that r in the formula represents the radius of the circle, half the diameter.

The area of the circular base of the cylinder is the area of a circle with a radius of 9 feet. It will be ...

  A = π(9²)

When that is multiplied by the height of the cylinder to find its volume, you have ...

  V = Bh

  V = (π(9²))(2.9)

This can be rearranged to match the form in answer choice A:

  2.9π(9)²

Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.

To test the claim that the proportion of American adults who eat salad once a week is equal to 80%, we will conduct a hypothesis test.

Claim: p = 0.80

Opposite: p ≠ 0.80

The test is a two-tailed z-test.

Sample proportion (p) = 374/445 = 0.8404

Test statistic= (0.8404 - 0.80) / sqrt((0.80 * (1 - 0.80)) / 445)

z = 2.53 (rounded to 2 decimals)

Significance level (α) = 0.005, so the critical values for a two-tailed test are -2.576 and 2.576.

Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.

Conclusion: There does not appear to be enough evidence to reject the claim that the proportion of American adults who eat salad once a week is equal to 80%.

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Therefore, the probability that the sample mean will be larger than 1,221 is 0.2005.

To find the probabilities for the sample mean of SAT scores, we need to use the normal distribution probability formula, which can be written as:

P (a < X < b) = Φ (b) - Φ (a)

where X is a normal random variable with mean μ and standard deviation σ, a and b are any two values, and Φ is the cumulative distribution function of the standard normal distribution.

The sample mean of SAT scores is also a normal random variable, with a mean equal to the population mean (1,200) and a standard deviation equal to the population standard deviation (200) divided by the square root of the sample size (64). Therefore, the standard deviation of the sample mean is 200 / √64 = 25.

To find the probabilities for each part of the question, we need to standardize the sample mean by subtracting the mean and dividing by the standard deviation, and then use a table or a calculator to find the values of Φ. Here are the steps for each part:

(a) the probability that the sample mean will be larger than 1,221

P (X > 1,221) = P (Z > (1,221 - 1,200) / 25)

P (X > 1,221) = P (Z > 0.84)

P (X > 1,221) = 1 - P (Z < 0.84)

P (X > 1,221) = 1 - Φ (0.84)

P (X > 1,221) = 1 - 0.7995

P (X > 1,221) = 0.2005

(b) the probability that the sample mean will be less than 1,231

P (X < 1,231) = P (Z < (1,231 - 1,200) / 25)

P (X < 1,231) = P (Z < 1.24)

P (X < 1,231) = Φ (1.24)

P (X < 1,231) = 0.8925

Therefore, the probability that the sample mean will be less than 1,231 is 0.8925.

(c) the probability that the sample mean will be between 1,200 and 1,215

P (1,200 < X < 1,215) = P ((1,200 - 1,200) / 25 < Z < (1,215 - 1,200) / 25)

P (1,200 < X < 1,215) = P (0 < Z < 0.6)

P (1,200 < X < 1,215) = P (Z < 0.6) - P (Z < 0)

P (1,200 < X < 1,215) = Φ (0.6) - Φ (0)

P (1,200 < X < 1,215) = 0.7257 - 0.5

P (1,200 < X < 1,215) = 0.2257

Therefore, the probability that the sample mean will be between 1,200 and 1,215 is 0.2257.

(d) the probability that the sample mean will be greater than 1,200

P (X > 1,200) = P (Z > (1,200 - 1,200) / 25)

P (X > 1,200) = P (Z > 0)

P (X > 1

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The interval representing the inequality x < -5 is defined as follows:

Open dot on -5 and shade to the left.

The four inequality symbols, along with their meaning, are presented as follows:

The values in this problem are the values that are less than -5, hence the shade is to the left.

As the interval does not contain the equal sign, it is an open interval, meaning that it has an open dot.

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Answer:

7.5

Step-by-step explanation:

it is feometeic progression

r=0.5

Answer:

5000

Step-by-step explanation:

800/16% = 5000

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

Answer:

Option A. The volume of the sphere is multiplied by 1/343.

Step-by-step explanation:

The volume of a sphere can be obtained by the following formula:

V = 4/3πr^3

Let the initial volume (V1) of the sphere be:

V1 = 4/3πr^3 = (4πr^3)/3

Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:

V2 = 4/3 x π x (1/7r)^3

V2 = 4/3 x π x 1/343r^3

V2 = (4πr^3)/1029

Now we determine the ratio of V2 : V1 as shown below:

V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3

V2/V1 = (4πr^3)/1029 × 3/(4πr^3)

V2/V1 = 3/1029

V2/V1 = 1/343

V2 = 1/343 x V1

Therefore, the volume of the sphere is multiplied by 1/343.