Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast (in ft/min) is the height of the pile increasing when the pile is 11 ft high

Answer:

( 5/2,5/2)

Step-by-step explanation:

The answer is, histogram that represents  distribution of the data is, the data is skewed, with a maximum range of 104. Having over the 31 songs might be the  popular because  students get 30 free downloads.

A histogram is  graphical representation of set of data that groups data points into the several intervals or "bins," with  height of each bar indicating  number of data points that fall within that particular bin.

The x-axis of  histogram represents  range of values for  data, divided into intervals or bins, while the y-axis represent  frequency of data points within each bin. Histograms are commonly used to visualize  distribution of data and identify any patterns or trends in  data.

The data is skewed, with a maximum range of 104. Having over the 31 songs might be the popular because students get 30 free downloads.

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The best name for the quadrilateral at given vertices is square.

What is a quadrilateral?

There are four sides, four vertices, and four angles in a closed quadrilateral. It has a polygonal shape. It is made by joining four non-collinear places.

We are given vertices as (1, 4), (4, 0), (0, -3), and (-3, 1).

Using distance formula,

⇒ D = \(\sqrt{(0-4)^{2} + (4-1)^{2} }\)

⇒ D = \(\sqrt{(-4)^{2} + (3)^{2} }\)

⇒ D = √ 16 + 9

⇒ D = √ 25

⇒ D = 5

Similarly,

⇒ D = \(\sqrt{(1+3)^{2} + (-3-0)^{2} }\)

⇒ D = \(\sqrt{(4)^{2} + (-3)^{2} }\)

⇒ D = √ 16 + 9

⇒ D = √ 25

⇒ D = 5

Similarly,

⇒ D = \(\sqrt{(-3-0)^{2} + (0-4)^{2} }\)

⇒ D = \(\sqrt{(-3)^{2} + (-4)^{2} }\)

⇒ D = √ 9 + 16

⇒ D = √ 25

⇒ D = 5

Similarly,

⇒ D = \(\sqrt{(1-4)^{2} + (-3-1)^{2} }\)

⇒ D = \(\sqrt{(-3)^{2} + (-4)^{2} }\)

⇒ D = √ 9 + 16

⇒ D = √ 25

⇒ D = 5

Since, all the sides are same so, the quadrilateral is a square.

Hence, the best name for the quadrilateral at given vertices is square.

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Answer:

3:7

Step-by-step explanation:

b is the same in both so it would just be 3:6:7 without b which is 3:7

Answer:

a:b=3:4 or a/b= 3/4…………..(1)

b:c=6:7 or b/c=6/7……………..(2)

Multiply eq.(1) and eq.(2)

(a/b) ×( b / c) =( 3 /4) × (6 / 7)

a/c= 9 / 14

a : c = 9 :14 answer.

Step-by-step explanation:

To find a vector v orthogonal to the plane through the points p(4, 0, 0), q(0, 3, 0), and r(0, 0, 5), we can use the cross product of two vectors that lie in the plane.

Let's first find two vectors that lie in the plane. We can take the vectors p to q and p to r.

Vector p to q can be calculated as q - p, which is (0 - 4, 3 - 0, 0 - 0) = (-4, 3, 0).

Vector p to r can be calculated as r - p, which is (0 - 4, 0 - 0, 5 - 0) = (-4, 0, 5).

Now, we can find the cross product of these two vectors.

To calculate the cross product, we take the determinant of a 3x3 matrix.

The cross product is given by:

(i  j  k)
(-4  3  0)
(-4  0  5)

Using the determinant formula, we get:

(3 * 5 - 0 * 0)i - (-4 * 5 - 0 * -4)j + (-4 * 0 - 3 * -4)k

Simplifying, we have:

15i - (-20)j - (-12)k

Which gives us:

15i + 20j - 12k

Therefore, a vector v orthogonal to the plane through the points p, q, and r is given by 15i + 20j - 12k.

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The number of no-shows for dinner reservations at the Cottonwood Grille is a discrete random variable with the following probability distribution.

No-shows Probability

0 0.30

1 0.20

2 0.20

3 X

4 0.15

The following

Expected value = (0)(0.30) + (1)(0.20) + (2)(0.20) + (3)(X) + (4)(0.15)

= 0 + 0.20 + 0.40 + 0.15(4) + 3X

= 1.20 + 3X

Since the sum of the probabilities must equal 1, we have

0.30 + 0.20 + 0.20 + X + 0.15 = 1

X = 0.15

Therefore, the expected value of the number of no-shows is

Expected value = 1.20 + 3(0.15) = 1.65

To find the variance, we can use the formula

Variance =\((0 - 1.65)^2(0.30) + (1 - 1.65)^2(0.20) + (2 - 1.65)^2(0.20) + (3 - 1.65)^2(0.15) + (4 - 1.65)^2(0.15)\)= 0.5625

Therefore, the variance is 0.5625, which means the standard deviation is the square root of the variance.

Standard deviation = \(\sqrt{0.5625}\) = 0.75

Hence, the correct option is A 1.65 customers.

Hence, the correct option is E 0 customers.

We have already found the variance to be 0.5625.

Hence, the correct option is C 0.15.

We have already found the expected value to be 1.65.

Hence, the correct option is D 1.424.

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Answer:

B

Step-by-step explanation:

8^2=64. -8^2 also =64.

The side of the square equals half the minor axis of the ellipse.

To show that the side of the square is half the minor axis of the ellipse, we must prove that the angles of the ellipses and the squares are congruent. To do this, we must first draw in the diagonals of the square, which will form two additional isosceles triangles.

Since the ellipses are perpendicular, the angles of the ellipses and the squares will be the same. Since the angles of the isosceles triangles are equal, the side of the square must be equal to half of the minor axis of the ellipse. Therefore, the side of the square is equal to half of the minor axis of the ellipse.

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In scientific practice, we often use statistical inference to make conclusions about a population based on a sample. The use of confidence intervals is one method of making these inferences. A single 95% confidence interval can be interpreted as follows: we are 95% confident that our interval is one that contains the true population parameter.

This means that if we were to repeat the study many times, we would expect the true population parameter to be within our interval 95% of the time.
It is important to note that this interpretation assumes that the sample was selected randomly and that the assumptions for the statistical test used to construct the interval were met. Additionally, it is important to recognize that the interval is not a guarantee of the true population parameter being within it, but rather a range of values that is likely to contain the true parameter.

Overall, a single 95% confidence interval is a useful tool for making inferences about a population based on a sample, and it provides a range of values that we can be reasonably confident contains the true parameter.

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Answer:

Step-by-step explanation:

Answer:

2,307,500 microliters

Step-by-step explanation:

There are 2,307,500 microliters

convert 7.5 mL to 7500 microliters

convert 2.3 L to 2,300,000 microliters

add 2,300,000 + 7500 =

2,307,500 microliters

Answer:

no

Step-by-step explanation:

opposite of

\( - \frac{2}{5} \)

is 2/5

The probability 0.36 means that approximately 36 out of every 100 dealt hands will be that particular hand. No, you will not be dealt this hand exactly 36 times since the probability refers to what is expected in the long-term, not short-term.

When the probability of an event is 0.36, it means that out of every 100 instances of that event, we expect it to occur approximately 36 times. However, this does not guarantee that in a specific set of 100 instances, the event will occur exactly 36 times. The probability provides an expectation or likelihood over a large number of trials or instances, not for each individual trial.

In the short-term, there can be variations or deviations from the expected probability. The actual number of times you are dealt a particular hand in 100 games can be more or less than 36. However, over a large number of games, the observed frequency is expected to converge towards the predicted probability.

Therefore, the probability of 0.36 means that, on average, approximately 36 out of every 100 dealt hands will be that particular hand, but the exact number in any specific set of 100 games may vary.

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I think the answer is 8?

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

3x will change as a result of the x value but 4 stays the number 4

The section of the research report that may have the information about the statistical parameter used and the findings of statistical tests is the "Results" and ''Reference" section.

The results section usually comes after the introduction and literature review sections of the research report.

A research report is a document that outlines the results of a study conducted by an individual or a group. The research report is a written record of the study and includes information about the research design, data collection, data analysis, and findings. A research report can be written in different formats, depending on the discipline and audience.

Statistics refers to the collection, analysis, interpretation, presentation, and organization of data. Statistics help researchers to draw conclusions from data and make informed decisions. Statistical tests are used to determine whether the results of a study are statistically significant, which means that the results are unlikely to have occurred by chance. Statistical tests are an essential part of the research process, and the findings of these tests are reported in the results section of a research report.

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Answer:

.........................................

Step-by-step explanation:

.............................................................................................................................................................................................

The relationship will be a solid line .

How to find the relationship between the given amounts?

Given:

The amount of one lunch =$4

The amount of the school lunch card=$100

Let, the amount remaining on the card= b

Let the number of lunches to buy  = a

The equation is given by,

b = 100 - 4a

When 1 lunch is bought ,a= 1 ;

b= 100 - 4(1) = 96

When 2 lunches are bought ,a= 2;

b= 100 - 4 (2)= 92

When 3 lunches are bought ,a= 3;

b= 100 - 4 (3)= 88

When 4 lunches are bought ,a= 4;

b= 100 - 4 (4)= 84

Since ,the decrease is gradual and same, the relationship will be a solid line.

The complete question is:

What is the relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card. Is the relationship a solid line or a set on unconnected points?

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The number of times that (4 x 10⁴) is higher than (1.25 x 10²) is 3.2 × 10².

It should be noted that the information is to find the number of times that (4 x 10⁴) is higher than (1.25 x 10²).

This will be calculated by dividing the values we have.

= (4 × 10⁴) / (1.25 × 10²)

= 3.2 × 10²

In conclusion, the number of times that (4 x 10⁴) is higher than (1.25 x 10²) is 3.2 × 10².

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Answer:

BA

Step-by-step explanation:

Its exactly opposite of DE.

Step-by-step explanation:

Stefan ask ur mom the total cups of ingredients

Answer:

b. False

Step-by-step explanation:

The number of costumers that visit your store is a DISCRETE variable because is the set of countable costumers. We count a whole person not parts of a person.

For a continuous variable we are allowed to take any value in an interval. In our case we can not say we had 3.4 costumers. We can say the costumer bought 3.4 gallons of gas for their car.

number or costumers →discrete variable

number of gallons of gas →continuous variable

b. False

Answer:

81, 100, 25, 4

Step-by-step explanation:

The square root of each of these numbers is whole

Answer:

these are the perfect squares

Step-by-step explanation:

Answer:

1200

Step-by-step explanation:

To find the Laplace transform of a function, we use the formula:

L{f(t)} = ∫[0,∞) e^(-st) f(t) dt
where s is a complex number.

a. f(t) = t

Using the Laplace transform formula, we get:
L{t} = ∫[0,∞) e^(-st) t dt

Integrating by parts, we get:
L{t} = [-t e^(-st) / s]∞₀ + ∫[0,∞) e^(-st) / s dt

Evaluating the limits, we get:
L{t} = 0 + [1 / s^2] ∫[0,∞) s e^(-st) dt

Using the fact that ∫[0,∞) s e^(-st) dt = 1 / s^2, we get:
L{t} = 1 / s^2

Therefore, the Laplace transform of f(t) = t is 1 / s^2.

b. f(t) = t^2

Using the Laplace transform formula, we get:
L{t^2} = ∫[0,∞) e^(-st) t^2 dt

Integrating by parts twice, we get:
L{t^2} = [-t^2 e^(-st) / s]∞₀ + [2t e^(-st) / s^2]∞₀ + ∫[0,∞) 2e^(-st) / s^3 dt

Evaluating the limits, we get:
L{t^2} = 0 + 0 + [2 / s^3] ∫[0,∞) e^(-st) dt

Using the fact that ∫[0,∞) e^(-st) dt = 1 / s, we get:
L{t^2} = 2 / s^3

Therefore, the Laplace transform of f(t) = t^2 is 2 / s^3.

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Answer:

Step-by-step explanation: They are all multistep problems.

Answer:

Given is radius of circle that is 5.2, you just need to find the area of the circle.

To find the are of circle is A=πr2

π value is 3.14 and radius value is 5.2 you just need to square the 5.2, answer will come 27.04

now multiply the πr and 27.04.

the answer will come 84.9 and question says to round to the nearest tenth, that will be 85.

Rounding to the nearest tenth, the surface area of the circle with a 5.2 cm radius is approximately 84.8 cm².

The surface area of a circle can be calculated using the formula:

Surface Area = π * radius²

where π (pi) is a mathematical constant approximately equal to 3.14159, and the radius is the distance from the center of the circle to any point on its edge.

Given the radius is 5.2 cm, we can now calculate the surface area:

Surface Area = 3.14159 * (5.2 cm)²

Surface Area = 3.14159 * 27.04 cm²

Surface Area ≈ 84.823 cm²

The surface area represents the total area of the circle's two-dimensional space. In this case, it gives us the total area of the circular region with a 5.2 cm radius.

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Radicals expression with variables and exponents can be simplify by:

To help us understand each step better, we will take an example of a radical expression with variables and exponents of: \(\sqrt{16a^{3}b^6c^5 }\)

First, we need to separate the number and variables:

\(\sqrt{16a^3b^6c^5}=\sqrt{16} \sqrt{a^3b^6c^5}\)

Next, we will try to find variables with even exponents:

\(\sqrt{16} \sqrt{a^3b^6c^5} = \sqrt{16} \sqrt{a.a^2.b^6.c^4.c^}\)

Remember that:

(xᵃ)ᵇ = xᵃᵇ; then:

\(\sqrt{16}\sqrt{a.a^2.b^6.c^4.c} =\sqrt{16}\sqrt{a.a^2.(b^3)^2.(c^2)^2.c}\)

We try to breakdown any number into any factor that are perfect square:

\(\sqrt{16}\sqrt{a.a^2(b^3)^2.(c^2)^2.c} = \sqrt{4 .4} \sqrt{a.a^2(b^3)^2.(c^2)^2.c}\)

We will rewrite both number and the variables into a square exponents:

\(\sqrt{4 .4} \sqrt{a.a^2(b^3)^2.(c^2)^2.c} = \sqrt{4^2} \sqrt{a.a^2(b^3)^2.(c^2)^2.c}\)

We will separate the squared factors into individual radicals:

\(\sqrt{4 ^2} \sqrt{a.a^2(b^3)^2.(c^2)^2.c} = \sqrt{4^2} \sqrt{a^2} .\sqrt{(b^3)^2} \sqrt{(c^2)^2} \sqrt{a.c}\)

We take the square root of each radical into:

\(\sqrt{4^2} \sqrt{a^2} .\sqrt{(b^3)^2} \sqrt{(c^2)^2} \sqrt{a.c} = 4|a|.|b^3|.c^2\sqrt{ac}\)

We just need to simplify our last equation into:

\(4|a|.|b^3|.c^2\sqrt{ac} = 4|ab^3|c^2\sqrt{ac}\)

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Answer:

It is not equal

Step-by-step explanation:

\(3(-4)-2(11.25)=-15\\\\-12-22.5=-15\\\\-34.5=-15?\\\\-34.5\neq -15\)

The correct option is A, In slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) the equation is y= −5x + 12.

The given equation of the line is

10x + 2y = -2

On simplification we get

5x + y= -1 .............(1)

Now the equation of the line parallel to equation (1) is

5x + y =k ..............(2)

Now The equation (2) passes through the point (0,12)

So we get from equation (2)

(5 x 0) + 12 = k

= k = 12

Hence the equation (2) becomes

5x + y= 12

This equation can be rewritten as

y= −5x + 12

The slope-intercept form is a way of writing the equation of a line in two variables, typically represented as "y = mx + b," where "m" is the slope of the line and "b" is the y-intercept. The slope represents the steepness or incline of the line, and the y-intercept is the point where the line crosses the y-axis.

The slope is the change in the y-coordinate divided by the change in the x-coordinate, or rise over run. It tells us how much the y-value changes as the x-value increases. If the slope is positive, the line slopes upwards to the right, while a negative slope indicates a downward slope. The y-intercept is the value of y when x equals zero. It tells us where the line crosses the y-axis.

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Complete Question:-

A given line has the equation 10x+2y=−2 . What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)?

a. y=−5x+12

b. 5x+y=12

c. y−12=5(x−0)

d. 5x+y=−1