The volume of a cone is 1782 cm³ a cylinder has the same radius and height as the cone what is the volume of the cylinder

Answer:

  x = 192

Step-by-step explanation:

The three right triangles in the figure are all similar, so their sides are proportional.

The length marked x is the long side of the smallest triangle, and the short side of the middle-size triangle. The long side of the middle-size triangle is ...

  400 -144 = 256

We now have enough information to write the proportion ...

  long side/short side = x/144 = 256/x

Multiplying by 144x gives ...

  x² = (144)(256)

  x = √(144×256) = 12×16 = 192

The length x is 192 units.

[tex]|\Omega|=12+5+6+4=27\\|A|=12\\\\P(A)=\dfrac{12}{27}=\dfrac{4}{9}=44.4\%[/tex]

Answer:  44.44% approximately

Work Shown:

P(red) = (number of red)/(number total)

P(red) = (12 red)/(12 red + 5 green + 6 yellow + 4 blue)

P(red) = (12 red)/(27 total)

P(red) = 12/27

P(red) = 4/9

P(red) = 0.4444 approximately

P(red) = 44.44% approximately

The probability that either the score on the green die is 1 or the score on the red die is 6, but not both, is 11/36.

To find the probability that either the score on the green die is 1 or the score on the red die is 6 (but not both), we can break it down into two mutually exclusive events and then calculate their probabilities separately.

Event A: The score on the green die is 1.

Event B: The score on the red die is 6.

We need to find the probability of either event A or event B occurring but not both.

The probability of event A occurring is the probability of rolling a 1 on the green die.

Since each die is six-sided, the probability of rolling a 1 on the green die is 1/6.

The probability of event B occurring is the probability of rolling a 6 on the red die. Similarly, the probability of rolling a 6 on the red die is 1/6.

To calculate the probability of either event A or event B occurring but not both, we need to subtract the probability of both events occurring simultaneously from the sum of their individual probabilities.

The probability of both event A and event B occurring simultaneously is the product of their individual probabilities, which is (1/6) x (1/6) = 1/36.

So, the probability of either event A or event B occurring but not both is:

Probability = (Probability of event A) + (Probability of event B) - (Probability of both events occurring)

= (1/6) + (1/6) - (1/36)

= 6/36 + 6/36 - 1/36

= 11/36

Therefore, the probability is 11/36.

Learn more about Probability click;

https://brainly.com/question/32117953

#SPJ4

Answer:

on the percentage of the buses on time ,30 is not included

Answer:

the numbering on the y axis

If five regular six sided dice are rolled then there are 540 ways through which sum of numbers coming after rolling will be 14.

Given Five regular six sided dices are rolled.

From stars and bars the number of n tuples of natural numbers summing up to k is given by

[tex](k-1\\n-1)[/tex]

For k=14 and n=5

[tex](14-1 \\5-1)[/tex]

=[tex](13\\4)[/tex]

=715

Some of these will contains a number greater than 6.To get the number of 5 tuples that correspond to 5 rolls of a six sided dice we need to subtract from 715.

Total 5 tuples summing up to 14 for which no element is greater the 6 is given as under:

N=[tex](13/4)-5(6/3)-5(5/3)-5(4/3)-5(3/3)[/tex]

where last term comes from the 5 tuples containing one 10 and fours'

=715-100-50-20-5

=540

Hence there  are 540 such ways which sum to 14 when five six sided dices are rolled.

Learn more about tuples at https://brainly.com/question/12996298

#SPJ4

Answer:

x = -2

Step-by-step explanation:

Subtract 7 from both sides :

6x = -12

Divide both sides by 6 :

x = -2

Hope this helped and have a good day

The total volume of air that coach Tim will need to fill is [tex]1,340^{3} inches[/tex].

To find  the total volume of air that coach Tim will need:

The formula of volume = [tex]\frac{4}{3}[/tex] × [tex]\pi[/tex] × [tex]r^{3}[/tex]

Given - Diameter of volleyball = 8 inches

So, the radius of volleyball = [tex]\frac{8}{2}[/tex] = 4 inches

Now, put the values in the formula of volume as follows:

[tex]\frac{4}{3} * \pi * 4^{3}[/tex]

[tex]\frac{4}{3} * \pi * 64[/tex]

[tex]\frac{4}{3} * 3.14 * 64\\\frac{4}{3} * 201.06\\4 * 67.02\\268.08[/tex]

To find total volume = [tex]268.08 * 5[/tex]

[tex]= 1340.4[/tex]

Rounding off to the nearest whole number = [tex]1,340^{3} inches[/tex]

Therefore,  the total volume of air that coach Tim will need to fill is [tex]1,340^{3} inches[/tex].

Know more about Volumes here:

https://brainly.com/question/1972490

#SPJ4

We have [tex]x^{-n} = \frac1{x^n}[/tex] if [tex]n[/tex] is a positive integer and [tex]x\neq0[/tex], as well as [tex]x^0 = 1[/tex] if [tex]x\neq0[/tex]. So right away we can simplify to

[tex]\left(x^{-1} y^2\right) \left(-3 x^2 y^0\right) = \left(\dfrac{y^2}x\right) \left(-3x^2\right) = -\dfrac{3x^2y^2}x[/tex]

If [tex]x=0[/tex], then the starting expression is undefined. So we accept that [tex]x=0[/tex], in which case [tex]\frac xx = 1[/tex], and the overall expression simplifies to

[tex]\left(x^{-1} y^2\right) \left(-3 x^2 y^0\right) = \boxed{-3xy^2}[/tex]

Answer:

m = 1 and n = 10.

Step-by-step explanation:

I  am assuming you mean -8, m , n, 19.

If they are in AP the 4 terms will have a common difference.

19 - (-8) = 19 + 8 = 27.

So the increase over 3 terms (from -8 to 19) is 27 so we have:

27 / 3 = 9

Therefore the common difference is 9 and the A P is

-8, 1, 10, 19.

Answer:

I did this quickly, so please check carefully.

d/a = -(11/12)

Step-by-step explanation:

a/(b+c+d)=4/3

3a = 4(b+c+d)    [Cross multiply]

3a = 4((b+c)+d)   [Note that b and c can be grouped as (b+c)]

---------------------

We can see the second equation also has a (b+c) group.  Isolate it to one side:

a/(b+c)=3/5

5a = 3(b+c)

(b+c) = (5a/3)

------------------

Now use this definition of (b+c) in the first equation:

3a = 4((b+c)+d)

3a = 4((5a/3)+d)   [Use the new value of (b+c), which is (5a/3)]

3a = 4(5a/3+3d/3)

3a = 4((5a + 3d)/3)

3a = (4/3)(5a + 3d)

3a = (20/3)a + 4d

9/3a = (20/3)a + 4d

-(11/3)a = 4d

4d = -(11/3)a

d = -(11/12)a

d/a = -(11/12)

The magnitude of the electrical force acting between both the given charges which are separated by 0.008 m is 6.07 N.

Given Charges 2.4*[tex]10^{-8} C[/tex] and 1.8 *[tex]10^{-6} C[/tex] that are separated by 0.008 m.

We have to find the magnitude of the electrical force acting between the charges. Magnitude is the property which determines the size of an object or process. Force is an influence that can change the direction of an object.

To find the magnitude we have to use Coulomb's law which says that

[tex]F_{E}=K*(q_{1}*q_{2}/d^{2}[/tex]

where K is Coulomb's constant whose value is [tex]8.9910^{9}Nm^{2} C^{2}[/tex].

[tex]q_{1}[/tex]=[tex]2.6*10^{-8} C[/tex] and

[tex]q_{2}=1.8*10^{-6} C[/tex] are the electric charges.

d=0.008m is the separation distance between the charges.

Putting  the values in the given formula we get:

[tex]F_{E} =8.99(10)^{9}Nm^{2}/C^{2} *(2.4(10)^{-8}C(1.8(10)^{-6}C)/(0.008m)^{2}[/tex]

=6.07 N

Hence the magnitude of force acting between [tex]2.4*10^{-8} C[/tex] and [tex]1.8*10^{-6}C[/tex] is 6.07 N.

Learn more about force at https://brainly.com/question/12970081

#SPJ4

Answer:

Step-by-step explanation:

It is true that exponent laws apply all the time when simplifying variables

The laws of exponent state that:

[tex](ab)^m = a^m * b^m[/tex]

[tex](a+ b)^m \ne a^m + b^m[/tex]

[tex](a- b)^m \ne a^m - b^m[/tex]

[tex](a/b)^m \ne a^m / b^m[/tex]

The above laws must be followed in all variables.

When any of the law is misinterpreted, misrepresented or misused in simplifying variables, the result would be incorrect

Hence, it is true that exponent laws apply all the time when simplifying variables

Read more about exponent laws at:

https://brainly.com/question/14002096

#SPJ1

Answer: That raw vegetables are better for the rabbit's growth than rabbit food.

Answer:

The rabbit food that was strictly a diet of raw vegetables is healthier for the rabbits.

Step-by-step explanation:

25 square feet would mr. potato head be able to walk inside the box.

Given,

          length and breadth of sandbox is 5 ft.

         Now, We apply formula of area of square.

                            5 × 5 = 25 ft²

  Therefore, 25 ft² would mr. potato head be able to walk inside the box.

Learn more about Area of square

brainly.com/question/27776258

#SPJ4

The addition property of equality is applied to find the value of r which equals 50.

The addition property of equality states that, if a - b = c, then a = c + b.

Given the expression, r - 20 = 30, to find the value of r, apply the addition property of equality as shown below:

Add 20 to both sides

r - 20 + 20 = 30 + 20

r = 50

The value of r using the addition property of equality is: 50.

Learn more about the addition property of equality on:

https://brainly.com/question/1542520

#SPJ1

The amount of money that Glenn lost on last tool set is $30.60.

Given sale value of 15 tool set 1 year before is $54.60 and the sale value of last tool at year end is $24.00 by Glenn.

Sale value is the price which we get by selling the good including the profit and cost of the product.

In this question it is given that 15 tools sets, it does not mean that 15 sets are sold.

Using the formula

Amount lose=Original amount paid- selling price.

Now put the values in the formula:

Amount lose=$54.60-$24.00

Amount lose=$30.60.

Hence the amount of money he lost on the last tool set is $30.60.

Learn more about Profit and loss at https://brainly.com/question/19104371

#SPJ4

Answer:

-3 < x < 7

Step-by-step explanation:

The domain of a graph is all of the x-values that are included in the function. Since the graph is continuous (one connected line), you can determine the domain by identifying the x-values associated with the line's endpoints. These values are x = -3 and x = 7. Remember, the x-value located on a closed dot is not included in the domain. Therefore, the domain of the graph is -3 < x < 7.

When one is looking at a map of the united states, and it is assumed that you already know which direction is north, this illustrates a theorem.

It should be noted that a theorem simply means a statement that has been proved.

In this case, when one is looking at a map of the United States, and it is assumed that you already know which direction is north, this illustrates a theorem. This is because it's proven.

Learn more about theorem on

brainly.com/question/343682

#SPJ1

IfIf it forms interior <6 measuring70. The measure of <4 is: B. 110°.

Using this interior angle theorem

Measure of <4=180° - <6

Where:

<6 measure 70

Hence:

Measure of <4=180°-70°

Measure of <4=110°

Therefore the measure of <4 is: B. 110°.

Learn more about  measure of <4 here:https://brainly.com/question/25716982

#SPJ1

Answer:

(0.4)⁴

Step-by-step explanation:

• The probability that each individual light bulbs work is :

1 - 0. 6 = 0.4

Then

•• the probability that none of the 4 light bulbs work is :

(0.4)×(0.4)×(0.4)×(0.4)

= (0.4)⁴

= 0.0256

The pooled estimate of the variance is 187.650 and the test statistic is -2.32

The dataset is given as:

Regular price 138 124 89 112 116 123 98

Reduced price 124 134 154 135 118 126 133 132

Let the regular price be dataset 1 and the reduced price be dataset 2.

So, we have:

#1: 138 124 89 112 116 123 98

#2: 124 134 154 135 118 126 133 132

Calculate the sample means and the sample standard deviations using a graphing calculator.

#1

[tex]\sigma_1 = 16.56[/tex]

[tex]\bar x_1 = 114.29[/tex]

[tex]\sigma_1^2 = 274.24[/tex]

#2

[tex]\sigma_2 = 10.65[/tex]

[tex]\bar x_2 = 132[/tex]

[tex]\sigma_2^2 = 113.43[/tex]

The pooled estimate of the variance is:

[tex]\sigma_p^2 = \frac{\sigma_1^2(n_1 - 1) + \sigma_2^2(n_2 - 1)}{(n_1 - 1) + (n_2 - 1)}[/tex]

This gives

[tex]\sigma_p^2 = \frac{274.24 * (7 - 1) + 113.43 * (8 - 1)}{(7- 1) + (8- 1)}[/tex]

Evaluate the factors

[tex]\sigma_p^2 = \frac{2439.45}{13}[/tex]

Divide

[tex]\sigma_p^2 = 187.65[/tex]

Hence, the pooled estimate of the variance is 187.650

This is calculated using:

[tex]t = \frac{\bar x_1 - \bar x_2}{\sqrt{\sigma_p^2} * \sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}[/tex]

This gives

[tex]t = \frac{114.29 - 132}{\sqrt{187.650} * \sqrt{\frac{1}{7} + \frac{1}{6}}}[/tex]

This gives

[tex]t = \frac{-17.71}{\sqrt{187.650} * \sqrt{\frac{13}{42}}}[/tex]

Evaluate the product

[tex]t = \frac{-17.71}{\sqrt{58.08214}}[/tex]

Evaluate the exponent

[tex]t = \frac{-17.71}{7.62}[/tex]

Divide

t = -2.32

Hence, the test statistic is -2.32

The critical value at 0.025 significance level is -1.96

-2.32 is less than -1.96

This means that we accept the null hypothesis

Read more about test statistic at:

https://brainly.com/question/14128303

#SPJ1

Answer:

-9/12 < -5/12

Step-by-step explanation:

-5/12 = -5/12

-3/4 = -9/12

-9/12 < -5/12

Answer:

1.5x = 7.5   (a)

Step-by-step explanation:

If Billy has $7.50 remaining, then he can buy x no. of boxes.

Each box costs $1.50

So, 1.5x = 7.5

Answer:

None of them.

Step-by-step explanation:

Each and every straight line is of one kind in terms of its pattern: it can be presented in the view of [tex]y = kx + b[/tex]: [tex]k[/tex] is the slope or gradient of the line, [tex]b[/tex] is the y-intercept of the line. I will not let the cat out of the bag if I say that any parallel lines do not intersect one another, hence they should have the same value of coefficient [tex]k[/tex].

[tex]2x + 4y = 16 \Leftrightarrow x + 2y = 8 \Leftrightarrow 2y = -x + 8 \Leftrightarrow y = - \frac{1}{2}x + 4[/tex]

Therefore, our line has [tex]k = - \frac{1}{2}[/tex] and [tex]b = 4[/tex] coefficients.

(A) [tex]k = 2, b = 5;[/tex]

(B) [tex]k = -1, b = 4;[/tex]

(С) [tex]k = -1, b = 8;[/tex]

(D) [tex]k = 2, b = 5;[/tex]

Recapitulating this: none of them have the same coefficient [tex]k[/tex], thus none of them suit us.

Answer:

[tex]A) \sf \ \sf \dfrac{x^8}{16y^4}[/tex]

Explanation:

 [tex]\sf \left(\dfrac{2y}{x^2}\right)^{-4}[/tex]

inverse of the expression

 [tex]\sf \left(\dfrac{x^2}{2y}\right)^{4}[/tex]

distribute power inside parenthesis

 [tex]\sf \left(\dfrac{(x^2)^4}{(2y)^4}\right)[/tex]

apply exponent rules: [tex]\s(a^b )^c = a^{bc}[/tex]

   [tex]\sf \dfrac{x^8}{16y^4}[/tex]

Answer: 1.66666666667

The correct answer is Option A , D , E.

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other.

Ratio in it's simplest form means when the ratio can't be simplified anymore  by cancelling out the common factors.

The ratio in Option(A) can't be simplified anymore because 29 is a prime number.

The ratio in Option(B) can be simplified to 1 / 7.

The ratio in Option(C) can be simplified to 5 / 2.

The ratio in Option(D) can't be simplified.

The ratio in Option(E) can't be simplified because 19 is prime number.

Hence, the correct answer is Option A , D , E.

Learn more about ratios on:

https://brainly.com/question/2328454

#SPJ4