The volume of a cone is given by the formula V = 1/3π^2h. Find the possible values of the radius of the cone if it has a volume greater than 120 cm^3 and a height of 15 cm.

Answer:

The lowest common multiple 3 and 4 is 12.

Step-by-step explanation:

The total multiples of both 3 and 4 between 1 - 100 are 100/12 = 8 4/12 i.e. 8.

Answer:

the statement that is true is: A and B are not independent because P(AIB) + P(B) is not equal to P(BIA) + P(A)

Step-by-step explanation:

ur welcome

Answer:

the second graph is likely the continuous one because the first graph stops on the x-axis

Answer: nice

Step-by-step explanation:

Sounds like a Scam though ngl

To derive the least-squares fit for the model y = a1x + a2x^2 with a zero intercept, we need to minimize the sum of squared residuals. Let's denote the observed data points as (xi, yi) for i = 1 to n.

The objective is to find the values of a1 and a2 that minimize the following sum of squared residuals:

SSR = ∑(yi - (a1xi + a2xi^2))^2

To find the minimum, we differentiate SSR with respect to a1 and a2 separately and set the derivatives equal to zero.

Partial derivative with respect to a1:

∂SSR/∂a1 = -2∑(yi - (a1xi + a2xi^2))*xi = 0

Partial derivative with respect to a2:

∂SSR/∂a2 = -2∑(yi - (a1xi + a2xi^2))*xi^2 = 0

Expanding the above equations:

∑(yixi) - a1∑(xi^2) - a2∑(xi^3) = 0 ------ (1)

∑(yixi^2) - a1∑(xi^3) - a2∑(xi^4) = 0 ------ (2)

Now, let's solve these equations to find the values of a1 and a2.

From equation (1):

a1∑(xi^2) + a2∑(xi^3) = ∑(yi*xi) ------ (3)

From equation (2):

a1∑(xi^3) + a2∑(xi^4) = ∑(yi*xi^2) ------ (4)

We can express equations (3) and (4) in matrix form as:

| ∑(xi^2) ∑(xi^3) | | a1 | = | ∑(yixi) |

| ∑(xi^3) ∑(xi^4) | | a2 | = | ∑(yixi^2) |

Solving this system of linear equations will give us the values of a1 and a2.

Once a1 and a2 are determined, we have the least-squares fit of the model y = a1x + a2x^2 with a zero intercept.

Know more about least-squares here:

https://brainly.com/question/29834077

#SPJ11

Answer:

3/4

Step-by-step explanation:

12/8-6/8

6/8

3/4

Answer:

6/8! or 3/4

Step-by-step explanation:

We would need 337,500 pounds of sand to completely fill the cube with sides measuring 15 feet across if it were a perfect cube.

The volume of a cube is calculated by taking the length of one side and raising it to the power of 3. In this case, the cube has sides that measure 15 feet each, so the volume can be calculated as:

Volume of cube = (Length of one side)^3 = (15 feet)^3 = 3,375 cubic feet

To fill the cube with sand, we would need to add enough sand to completely fill this volume. The weight of the sand we need can be calculated using its density. The density of sand varies depending on the type of sand, but a common density for dry sand is around 100 pounds per cubic foot.

Therefore, the weight of sand needed to fill the cube would be:

Weight of sand = (Volume of cube) x (Density of sand) = 3,375 cubic feet x 100 pounds per cubic foot = 337,500 pounds

It is worth noting that the real cube sculpture at the University of Michigan is not a perfect cube and is not filled with sand.

For such more questions on cube

https://brainly.com/question/1972490

#SPJ8

Complementary angles always are 90 degrees when added to each other, so:

x = angle 1

x + 89.8 = angle 2

x + x + 89.8 = 90

2x = 90 - 89.8

2x = 0.2

x = 0.1

angle 1 = 0.1 degrees

angle 2 = 0.1 + 89.8 = 89.9 degrees

if you want to check, just sum one to the other and see if they equal 90, like this: 89.9 + 0.1 = 90

Answer:

13 9/14

Step-by-step explanation:

Add the blue + red fabric

1. Make the denominator the same

6 7/14 + 7 2/14

2. Add

6 7/14 + 7 2/14 = 13 9/14

Answer:

13 9/14

Step-by-step explanation: You would change 1/7 into 2/14 for a common denominator then add 2/14 and 7/14 and get 9/14 and 6+7=13 so it would be 13 9/14. Plzzzz give me brainliest

Answer:

https://upchive.org/students

https://schoolhouse.world/free/tutoring

https://www.khanacademy.org/sat

Step-by-step explanation:

hope this help

mark brainelst

Answer/Step-by-step Explanation:

1. 3x - 10 +4 if x = 3

To evaluate, plug in the value of x in the expression given

3(3) - 10 + 4 = 9 - 10 + 4

= 3

2. \( \frac{x}{2} + 6x \)

if x = -12

\( \frac{(-12)}{2} + 6(-12) \)

- 6 - 72 = - 78

3. 8(x - y), if x = 2, y = 6

8(2 - 6) = 8(-4) = -32

4. x + xy, if x = 3, y = -2.5

3 + (3)(-2.5) = 3 + (-7.5)

= 3 - 7.5 = - 4.5

5. (2x)² + 6, if x = -2

(2*-2)² + 6 = (-4)² + 6

= 16 + 6 = 22

6. 3x + 4y - 3x, if x = 2, y = 4

3(2) + 4(4) - 3(2) = 6 + 16 - 6

= 16

7. \( -10x + \frac{4}{x} \)

If x = -2

\( -10(-2) + \frac{4}{-2} \)

20 + (-2) = 20 - 2 = 18

8. 3(8x - 10) + 5x, if x = ½

3(8*½ - 10) + 5(½)

3(4 - 10) + 2.5

3(-6) + 2.5 = -18+2.5 = - 20.5 or 20½

9. x + 8y - (x)², if x = -5, y = ¼

-5 + 8(¼) - (-5)² = -5 + 2 - (25)

= -3 - 25 = -28

10. (8x)² + 6x + 2, if x = -3

(8*-3)² + 6(-3) + 2 = (-24)² - 18 + 2

= 576 - 18 + 2 = 560

11. 2x² + 4y² + xy, if x = ½, y = 2

2(½)² + 4(2)² + (½)(2)

= 2(¼) + 4(4) + 1

= ½ + 16 + 1 = ½ + 17 = 17½

12. 8x + 2y, if x = 1.5, y = -2.2

8(1.5) + 2(-2.2)

12 - 4.4 = 7.6

13. \( \frac{5}{2}(x - 6) + 4 \)

if x = 8.

\( \frac{5}{2}(8 - 6) + 4 \)

\( \frac{5}{2}(2) + 4 \)

= 5 + 4 = 9

14. 3x - 8x² + 7, if x = 4.5

3(4.5) - 8(4.5)² + 7

13.5 - 8(20.25) + 7

13.5 - 162 + 7 = -141.5

15. -2x² + 8y, if x = 3, y = -9

-2(3)² + 8(-9)

-2(9) - 72 = - 18 - 72 = 90

16. (-5x)² - 3x + x, if x = -3.5

(-5*-3.5)² - 3(-3.5) +(-3.5)

(17.5)² + 10.5 - 3.5

306.25 + 10.5 - 3.5 = 313.25

Answer:

16

Step-by-step explanation:

\(\sqrt{121}\) + \(\sqrt[3]{125}\)

= 11 + 5

= 16

Answer:

The possible number of trees in each of the rows could be any amongst the following numbers;

1,2, 5 and 10

Step-by-step explanation:

Here, we want to know the possible common number of trees in each rows

For the girls, we have 30 trees

For the boys we have 50 trees

What we simply do here is to get the factors of both;

That will be listed as follows;

for 30;

1,2,3,5,6,10,15 and 30

for 50,

1, 2 , 5,10, 25 and 50

So the possible number of trees in each of the rows are;

1, 2 , 5 and 10

Answer:

second one just se that cuse I think it is it a fuse fore me

The best interpretation of these data is that there is a direct relationship between number of hours studied and the score on the test.

The correlation coefficient r measures the strength and direction of a linear relationship between two variables. In this case, the positive value of r = .59 indicates a direct (or positive) relationship between number of hours studied and the score on the test. This means that as the number of hours studied increases, the score on the test tends to increase as well.

Therefore, we can conclude that more study leads to a higher score on the test.

Option 1 and 2 are correct interpretations, while options 3 and 4 are incorrect. Option 3 implies a negative correlation coefficient, while option 4 implies an inverse relationship between the variables, which is not the case here.

Learn more about interpretation here

https://brainly.com/question/10737299

#SPJ11

Answer:

\(area = \pi {r}^{2} \)

675= 3.14× r²

r²= 675/ 3.14

r²=214.968

\(r = \sqrt{214.968} \)

radius=14.66 meters

diameter= 2× radius

diameter= 2× 14.66

diameter = 29.32 meters

Answer:

114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 399

Step-by-step explanation:

These are all the three-digit numbers that are a multiple of 19.

Answer:

114, 133, 152, 171, 190, 209, 228, 247, 266, 285, 399

PLS GIVE BRAINLIEST

Answer:

63 boys

Step-by-step explanation:

7 - 1 = 6

54 divided by 6 is 9

9 x 7 = 63

Answer:

63 boys

Step-by-step explanation:

7-1=6

6*9=54

Answer:

x = 7

Step-by-step explanation:

Given

y = 5x - 3 ← equate 5x - 3 to 32

5x - 3 = 32 ( add 3 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7 ← input

Answer:

x=7

Step-by-step explanation:

y=5x-3

y = 32

32 = 5x- 3

Add 3 to each side

32+3 = 5x-3+3

35 = 5x

Divide by 5

35/5 = 5x/5

7 =x

The curved surface area of the hemisphere with a volume of 2425.5 cm³ is approximately 1815.08 cm².

To find the curved surface area of a hemisphere, we first need to determine its radius using the given volume. The formula for the volume of a hemisphere is V = (2/3)πr³, where V is the volume and r is the radius. Given that the volume is 2425.5 cm³, we can find the radius by solving for r:

2425.5 = (2/3)πr³

Rearranging the equation, we get:

r³ = (2425.5 × 3) / (2π)

Solving for r, we get:

r ≈ 7.5 cm

Now that we have the radius, we can find the curved surface area of the hemisphere using the formula A = 2πr², where A is the curved surface area and r is the radius:

A = 2π(7.5)²

A ≈ 1815.08 cm²

Therefore, the curved surface area of the hemisphere is approximately 1815.08 cm².

Know more about  surface area click here:

https://brainly.com/question/29298005

#SPJ11

To find the curved surface area of a hemisphere given its volume, you first find the radius using the volume formula and then substitute the radius into the surface area formula. In this case, the radius is 10.5 cm, and the curved surface area is 693 cm².

The relationship between the volume (V) and radius (r) of a hemisphere is given by the formula V = 2/3πr³. We can use this formula to find the radius and then use the radius to find the curved surface area of the hemisphere using the formula 2πr².

Step 1: Find the radius from the volume.

Step 2: Find the curved surface area with the radius.

https://brainly.com/question/31817321

#SPJ12

Ansl

Step-by-step explanatio

Sarah should reject the null hypothesis, as the test statistic is greater than the critical value for the right-tailed test.

At the null hypothesis, it is tested if there is not enough evidence that they save more than $251 per month, hence:

\(H_0: \mu = 251\)

At the alternative hypothesis, it is tested if there is enough evidence that they save more than $251 per month, hence:

\(H_1: \mu > 251\)

Before taking the decision, we need to consider the critical value, which is obtained considering the parameters are follows:

Considering these parameters, using a t-distribution calculator, the critical value is given as follows:

t = 1.74.

The test statistic is given by:

t = 2.02.

The test statistic is greater than the critical value for the right-tailed test, hence the null hypothesis should be rejected.

The problem is given by the image at the end of the answer.

More can be learned about the test of an hypothesis at https://brainly.com/question/13873630

#SPJ1

Answer:

16r - 250 = 768

Step-by-step explanation:

First, create a term that represents his revenue:

Since he charges students $16 per hour, the amount of money he makes from this can be represented by 16r.

Then, subtract the advertising cost of $250 from this.

Set it equal to 768, because that is how much the gaming system costs.

16r - 250 = 768 will be the equation

The slopes of GH, HI, IJ, and JG include the following:

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the slope of a line, we have the following;

Slope GH = (-3 + 9)/(-4 + 7)

Slope GH = 6/3

Slope GH = 2.

Slope HI = (5 + 3)/(-6 + 4)

Slope HI = -8/2

Slope HI = -4.

Slope IJ = (-1 - 5)/(-9 + 6)

Slope IJ = -6/-3

Slope IJ = 2.

Slope JG = (-9 + 1)/(-7 + 9)

Slope JG = -8/2

Slope JG = -4.

Read more on slope here: brainly.com/question/3493733

#SPJ1

The area of the square is 1/4inches² in square inches

The area of a square is calculated by multiplying its two sides, that is area = s × s, where, 's' is one side of the square.

The square has side of length = 6/12

this can be simplified as 1/2

so

area of the square = (1/2 × 1/2) inches ²

area of the square = 1/4inches²

Thus, the area of the square is calculated using area = s × s, as 1/4inches²

Know about area of square here: https://brainly.com/question/24487155

#SPJ1

The probability that a randomly selecting a college student at Washington who either a male or a female is 33.3%

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event might occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Classical: (equally probable outcomes) (equally probable outcomes) Let S be the sample space (the collection of all unique outcomes that might occur).

Subjective Probability. Definition of Relative Frequency.

Considering there are males, females and other genders

The probability that a randomly selecting a college student at Washington who either a male or a female is 33.3%

To learn more about probability, click the following link:-

https://brainly.com/question/24756209

#SPJ4