Find the volume of the cone. Use 3.14 for pi.

A random sampling method could be used to find the percentage of students in your grade who eat five servings of fruit and vegetables each day.

This method involves selecting a random sample of students from the entire population of your grade and surveying them about their eating habits.

In other word, its involves randomly selecting a subset of students from the entire grade population and collecting data on their eating habits. By selecting students at random, the sample is more likely to be representative of the entire grade. This cam provide accurate insights into the percentage of students meeting the desired dietary recommendation.

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\(f(x)=x+10\\\\f(7)=(7)+10\\\\f(7)=17\)

the answer is 17.

Answer:

The answer is 17, x±10 =10+7= 17

The value of ML = 3, using the mid-point theorem of triangles.

According to the midpoint theorem, "the line segment of a triangle crossing the midpoints of two sides of the triangle is said to be parallel to its third side and also half the length of the third side."

In the question, we are given that triangle ABC is an equilateral triangle, and L, M, and N are the midpoints of BC, AB, and CA respectively.

Thus, by the midpoint theorem, we can say that:

Assuming AB = BC = AC = x units, we get:

Thus, the triangle LMN is an equilateral triangle.

Thus, MN = ML = NL.

Given MN = 3, we can write the value of ML = 3.

Thus, the value of ML = 3, using the mid-point theorem of triangles.

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The given question is in Spanish. The question in English is:

"Triangle ABC is equilateral and L, M, and N are the midpoints of BC, AB, and CA respectively. If MN = 3, what is the value of ML?"

Answer:

Interest = $10000 x 0.02 x 4 = $800

Answer:

±√7 and ±√6

Step-by-step explanation:

Let's denote x^2 as y, then the equation becomes:

y^2 - 6y - 7y - 6 = 0

y(y - 6) - 7(y - 6) = 0

(y - 7)(y - 6) = 0

Substituting back y with x^2, we get:

(x^2 - 7)(x^2 - 6) = 0

Solving each factor separately:

x^2 - 7 = 0 or x^2 - 6 = 0

x^2 = 7 or x^2 = 6

x = ±√7 or x = ±√6

Therefore, the zeroes of the equation are ±√7 and ±√6.

The answer is C. 1/10 of a centimeter.

Answer:

25.12 cm

Step-by-step explanation:

The circumference of a circle is

C = pi * d

C = 3.14 * 8

C =25.12 cm

Answer:

The circle's circumference is 25.13 centimeters.

Step-by-step explanation:

C=2pi*r where r=radius

Since the diameter of a circle is 8 centimeters,

we know that the radius is 4 centimeters.

C=2pi*4=8pi=25.13

The magnitude of the force that must be applied parallel to the plane is 92 N, under the condition that the box moves up the plane with an acceleration of 2 m/ s².

The force needed to move a box up an inclined plane can be evaluated as
Fp = W sin α = m ag sin α
Here
Fp = pulling force (N),
W = weight of the box (N),
α = angle of incline (degrees),
m = mass of the box (kg),
a = acceleration of the box (m/s²), and
g = acceleration due to gravity (9.8 m/s²).

For the given case, we possess a 25 kg box at rest on a 30 degree incline with a friction force of 50 N acting on it.
Now
We have to evaluate the weight of the box using
W = mg
= 25 kg x 9.8 m/s²
= 245 N.

Then, we have to calculate the force required to overcome friction using Ff = μFn where μ is the coefficient of friction and Fn is the normal force acting on the box. Since the box is at rest on an incline, Fn can be calculated as Fn = W cos α = 245 N cos(30°) ≈ 212 N. Therefore, Ff = μFn = 0.2 x 212 N ≈ 42 N.

Now we can evaluate the force applied to move the box up the incline utilizing
Fp = ma + Ff
Here,
a = desired acceleration
Ff = frictional force acting on the box.
Staging the values
Fp = ma + Ff
Fp = (25 kg)(2 m/s²) + 42 N
Fp ≈ 92 N

Hence, a force of approximately 92 N must be applied parallel to the plane so that the box moves up the plane with an acceleration of 2 m/s².
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The complete question is
A 25 kg box is at rest on a 30 degree incline. If the friction force is 50 N, what is the magnitude of the force that must be applied parallel to the plane so that the box moves up the plane with an acceleration of 2 m/ s²?

Answer:One apple is 1.17

One pear 0.25

See below :)

Step-by-step explanation:

Answer:

Total wood = 4.5 Left over wood = 0.7 let 1 piece of wood = x

hence we have 5x+0.7=4.5

5x=4.5 - 0.7

5x = 3.8 x= 3.8/5 = 0.76 ft

Step-by-step explanation:

Answer:

A: 5x + 0.7 = 4.5

B: You know the equation is correct because it takes into account that Warren cut five pieces of wood that are equal in length from a 4.5 feet long piece of wood. The total length of the five pieces of wood should equal the length of the original piece of wood, minus the leftover wood he has. In other words, 5x represents the total length of the five pieces of wood cut, and 0.7 represents the amount of wood left over after the cutting.

C: 0.76 feet

Step-by-step explanation:

Part A:

Let x be the length of each of the five pieces of wood cut from the 4.5 feet long piece of wood. The equation that could be used to determine the length of each piece is:

5x + 0.7 = 4.5

Part B:

You know the equation is correct because it takes into account that Warren cut five pieces of wood that are equal in length from a 4.5 feet long piece of wood. The total length of the five pieces of wood should equal the length of the original piece of wood, minus the leftover wood he has. In other words, 5x represents the total length of the five pieces of wood cut, and 0.7 represents the amount of wood left over after the cutting.

Part C:

5x + 0.7 = 4.5

5x = 4.5 - 0.7

5x = 3.8

x = 3.8/5

x = 0.76

Therefore, each of the five pieces of wood that Warren cut is 0.76 feet long.

\(15b \: + 20\)

\( = 5(3b + 4)\)

Answer:

5(3b + 4)

Hope you could understand.

If you have any query, feel free to ask.

Answer:

\( \longmapsto \: 15b + 20\)

\( \longmapsto \: 5(3b + 20)\)

The 18th term of the arithmetic sequence -13, -9, -5, -1, 3,... is 55. Thus, the right answer is option A. which is A(18) = 55

Arithmetic Progression is a sequence of numbers in which the difference between two numbers in the series is a fixed definite value.

The specific number in the arithmetic progression is calculated by

\(a_n=a_1+(n-1)d\)

where \(a_n\) is the term in arithmetic progression at the nth term

\(a_1\) is the initial term in the arithmetic progression

d is the difference between two consecutive terms

In the given question, \(a_1\) = -13

d = -9 - (-13) = 4

Therefore, to calculate the 18th term,

\(a_{13}=a_1+(18-1)d\)

= -13 + (17) 4

= -13 + 68

= 55

Hence, the 18th term of the above AP is 55

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Since the calculated F value of 31.47 is much greater than the critical value of 3.13, we reject the null hypothesis at the 0.05 level of significance. This means that there are statistically significant differences in prices between at least two of the three stores.

Hypotheses:

H₀: There are no systematic price differences between the stores

Hₐ: There are systematic price differences between the stores

The degrees of freedom for between-groups (stores) is

dfB = k - 1 = 3 - 1 = 2, where k is the number of groups (stores).

The degrees of freedom for within-groups (products within stores) is

dfW = N - k = 15 x 3 - 3 = 42, where N is the total number of observations.

Assume the significance level is 0.05.

The F-statistic is calculated as:

F = (SSB/dfB) / (SSW/dfW)

where SSB is the sum of squares between groups and SSW is the sum of squares within groups.

ANOVA table

Kindly find the table on the attached image

To determine whether to reject or fail to reject H0, compare the F-statistic (F) to the critical value from the F-distribution with dfB and dfW degrees of freedom, at the α significance level.

The critical value for F with dfB = 2 and dfW = 42 at 0.05 significance level is 3.13

Conclusion:

Since the calculated F value of 31.47 is much greater than the critical value of 3.13, we reject the null hypothesis at the 0.05 level of significance. This means that there are statistically significant differences in prices between at least two of the three stores.

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Question is incomplete, find the complete question below

You know that stores tend to charge different prices for similar or identical products, and you want to test whether or not these differences are, on average, statistically significantly different. You go online and collect data from 3 different stores, gathering information on 15 products at each store. You find that the average prices at each store are: Store 1 xbar = $27.82, Store 2 xbar = $38.96, and Store 3 xbar = $24.53. Based on the overall variability in the products and the variability within each store, you find the following values for the Sums of Squares: SST = 683.22, SSW = 441.19. Complete the ANOVA table and use the 4 step hypothesis testing procedure to see if there are systematic price differences between the stores.

Step 1: Tell me H0 and HA

Step 2: tell me dfB, dfW, alpha, F

Step 3: Provide a table

Step 4: Reject or fail to reject H0?

Answer:

y² + 14y + x² + 4x + 45 = 1296

Step-by-step explanation:

Chain of thought reasoning: Step 1: Calculate the equation of the circle: (x + 2)² + (y + 7)² = 36² Step 2: Simplify the equation: x² + 4x + 4 + y² + 14y + 49 = 1296 Step 3: Solve for x: x² + 4x + (y² + 14y + 45) = 1296 Step 4: Simplify the equation: x² + 4x + y² + 14y + 45 = 1296 Step 5: Solve for y: y² + 14y + (x² + 4x + 45) = 1296 Step 6: Simplify the equation: y² + 14y + x² + 4x + 45 = 1296 Step 7: The final equation of the circle is: y² + 14y + x² + 4x + 45 = 1296

The center of a circle is located at (-2, -7), and its radius is 36 units.

In a Cartesian coordinate system, the center of a circle is represented by the coordinates (h, k), where h represents the x-coordinate and k represents the y-coordinate. In this case, the center of the circle is (-2, -7), indicating that the circle is centered 2 units to the left and 7 units down from the origin (0, 0).

The radius of a circle is the distance from the center to any point on the circumference. Given that the radius is 36 units, it means that any point on the circle is 36 units away from the center. This implies that if we draw a line segment from the center to any point on the circle, its length would be 36 units.

Combining the information about the center (-2, -7) and the radius of 36 units, we can describe the circle as a set of points that are equidistant from the center (-2, -7) and lie on the circumference with a radius of 36 units.

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Answer:

Let's suppose that the hole is at y = 0m, where x is the time variable.

we know that:

The vertex is (-1s, 8m).

(i suppose x in seconds and y in meters)

At x = 1s, the ball reaches the hole, so we also have the point:

(1s, 0m).

Remember that the vertex of a quadratic equation y = a*x^2 + b*x + c is at:

x = -b/2a,

then we have:

-1 = -b/2a.

Then we have tree equations:

8m = a*(-1s)^2 + b*-1s + c

0m = a*(1s)^2 + b*1s + c

-1s = -b/2a.

First we should isolate one variable in the third equation, and then replace it in one of the other two:

1s*2a = b.

So we can replace b in the first two equations bi 1s*2a.

8m = a*1s^2 - 1s*2a*1s + c

0m = a*1s^2 + 1s*2a*1s + c

We can simplify both equations and get:

8m = a*( 1s^2 - 2s^2) + c = -a*1s^2 + c.

0m = a*(1s^2 + 2s^2) + c = a*3s^2 + c.

Easily we can isolate c in the second equation and then replace it into the first equation:

c = -a*3s^2

The first equation becomes:

8m = -a*1s^2 - a*3s^2 = -a*4s^2

a = 8m/-4s^2 = -2m/s^2.

Now with a, we can find the values of c and b.

c = -a*3s^2 = -(-2m/s^2)*3s^2 = 6m.

b = 1s*2a = 1s*(-2m/s^2) = -2m/s.

Then the equation is:

y = (-2m/s^2)*t^2 + (-2m/s)*t + 6m

Answer:

3d^2-9d

=3d(d-3)

Therefore,GCF IS 3d

Answer: (xy) squared

Answer:

$16.50

Step-by-step explanation:

$27.50/5=5.5

5.5*3=16.5

Answer:

What we can do is calculating what one bag cost. If we know that 5 cost 27.50 dollars, to know how much does one cost we only divide:

27.50/5 = 5.50 dollars

Now, we know how much does one bag cost, so we multiply it by three:

5.50 * 3 = 16.50

Now, we know 3 bags cost 16.5 dollars

Answer:

9/10

Step-by-step explanation:

3 1/3 can be written as 10/3

then we have 3/10/3 we then have 3x3/10 which equals 9/10.

Answer:

2760 ft^3

Step-by-step explanation:

Length * width* height

= 11*10*22

= 2420 ft^3

=7*4*10

=280 ft^3

= volume of the big cube + volume of the small cube

=2420 + 280

=2760 ft^3

Answer:

Step-by-step explanation:

The money in the account had increased by 29.5%.

This increase in dollars is:

= Amount in account * percentage increase

= 5,800 * 29.5%

= 5,800 * 0.295

= $1,711

The total in his account was therefore:

= Amount invested + increase

= 5,800 + 1,711

= $7,511

A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.

As the description itself says, binomial probability distribution refers to a distribution of probabilities for random outcomes of bivariate or dichotomous random variables.

Therefore, a distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.

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Complete question:

A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called a ______.

Group of answer choices

(A) binomial probability distribution

(B) distribution of expected values

(C) random variable distribution

(D) mathematical expectation

The more rainfall little town will receive 2016 than in 2015 is 7.12

Suppose you've got 3 numbers as a, b, and c.

Then, we have

(a+b) + c = a + (b + c)

This property is called associative property and it is called so because we can associate b with a, or b with c without altering the value of the addition.

Given;

2015 -4.17

2016 +2.95

To find out the more rainfall in 2016;

We will add the two numbers

=4.17 +2.95

=7.12

Therefore, the rainfall after addition will be 7.12

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Answer:

the slope is \(\frac{7}{4}\)

Step-by-step explanation:

Given: 4y - 7x = 10; solve y

4y - 7x = 10; add 7x to both sides to isolate the 4y variable

4y = 7x + 10; now divide by 4

y = \(\frac{7}{4}\)x + \(\frac{10}{4}\); reduce the fraction

y = \(\frac{7}{4}\)x + \(\frac{5}{2}\); the slope is

Answer:

m= 7/4

Step-by-step explanation:

Answer:

the answer is K for (2,-3)

Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

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IBM's Cost of Equity based on DGM is 11.46%.

Dividend growth model (DGM) refers to a valuation model used to estimate the price of an investment using predicted dividends and expected growth rates of dividends over a particular period. The equation for DGM is as follows:

P = D1 / (Ke - G)

where:

P = The price of the stock

D1 = The expected dividend to be paid at the end of the year

Ke = The cost of equity

G = The expected dividend growth rate

Therefore, to determine IBM's Cost of Equity based on DGM we can use the given information as follows:

D1 = $4.50

G = 8.00%

Ke = ?

P = $130

Therefore,

Ke = (D1 / P) + G

Ke = ($4.50 / $130) + 0.08

Ke = 0.0346 + 0.08

Ke = 0.1146

Ke = 11.46%

Therefore, IBM's Cost of Equity based on DGM is approximately 11.46%

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