Question in picture.

The probability of throwing at most two 6s is (5/6)^8 + 8*(1/6)(5/6)^7 + (28/2)(1/6)^2*(5/6)^6, which is approximately equal to 0.983.

We want to find the probability of throwing at most two 6s, which means we want to find the probability of throwing zero, one, or two 6s. The probability of throwing zero 6s is (5/6)^8, since we need to roll a non-6 on all 8 rolls.

The probability of throwing one 6 is 8*(1/6)(5/6)^7, since there are 8 ways to choose which roll will be the 6, and we need to roll a 6 on that one roll and a non-6 on the other 7 rolls.

The probability of throwing two 6s is (28/2)(1/6)^2*(5/6)^6, since there are 28 ways to choose which 2 rolls will be the 6s, and we need to roll a 6 on both of those rolls and a non-6 on the other 6 rolls.

Therefore, the probability of throwing at most two 6s is (5/6)^8 + 8*(1/6)(5/6)^7 + (28/2)(1/6)^2*(5/6)^6, which is approximately equal to 0.983.

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Answer: First equation: 3

Second equation: 6

Step-by-step explanation:

First equation:

The standard equation for a circle is (x-h)^2+(y-k)^2=r^2, where (h,k) is the vertex of the circle and r is the radius

To find the radius, set r^2=9, since 9 is taking the place of r^2.

Square root each side, and only positive values are taken for a radius, so the radius is 3.

Second equation:

Using the same logic, we can find the radius for the second one.

The radius is r^2=36(remember that r^2 is taking place of 36)

Take the square root of both sides(only +), so the radius for the second problem is 6.

>:)

The volume of the cylinder is 10,099.09 inches³.

Here we have to find the volume of the cylinder.

Given data:

Circumference = 46 inches

height(h) = 5 foot = 12 × 5 = 60 inches

Circumference = 2πr

46 = 2 ×π × r

r = 23/π

The formula for the volume of the cylinder = πr²h

Volume = π( 23/π)² 60

               = 529× 60 / π

               = 10,099.09 inches³

Therefore the volume is 10,099.09 inches³.

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Answer:

The answer is 45

Step-by-step explanation:

Follow the steps:

set it up:

18/? = 40%/100%

18 x 100= 1800

1800 divided by 40 equals 45

Hope this helps! :)

Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

Answer:

-1, 0, 1, 2

Step-by-step explanation:

\(\sqrt{5-5} -1\\\sqrt{0} -1\\0-1\\-1\)

\(\sqrt{6-5} -1\\\sqrt{1} -1\\1-1\\0\)

\(\sqrt{9-5} -1\\\sqrt{4} -1\\2-1\\1\)

\(\sqrt{14-5} -1\\\sqrt{9} -1\\3-1\\2\)

Answer: try using desmos its a life safer

Step-by-step explanation:

so 0.5% rate

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$17525\\ r=rate\to 0.5\%\to \frac{0.5}{100}\dotfill &0.005\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (17525)(0.005)(3) \implies I \approx 262.88\)

Answer:

C 1/3

Step-by-step explanation:

The numbers on a 6-sides die are 1, 2, 3, 4, 5, 6.

The number of an 8-sided die are 1, 2, 3, 4, 5, 6, 7, 8.

All the possible sums are:

2, 3, 4, 5, 6, 7, 8, 9,

3, 4, 5, 6, 7, 8, 9, 10,

4, 5, 6, 7, 8, 9, 10, 11,

5, 6, 7, 8, 9, 10, 11, 12

6, 7, 8, 9, 10, 11, 12, 13

7, 8, 9, 10, 11, 12 ,13, 14

The multiples of 3 are shown in bold and italic.

There are 48 possible sums.

16 sums are multiples of 3.

p(numbers whose sum is a multiple of 3) =

(number of outcomes that are multiples of 3)/(total number of possible outcomes)

p(numbers whose sum is a multiple of 3) = 16/48

p(numbers whose sum is a multiple of 3) = 1/3

Answer: C 1/3

I think its like you divide 64 by 4. This will tell you how many sets of the 4 yards you have which is important to know since each 4 yards equals 7 inches. 64 divided by 4 is 16. Then multiple 16 by 7 since there's 16 sets of 4 and each set is 7 inches. This will come to a total of 112 inches.

I hope this helps, sorry if its wrong I haven't done this in a while, but I'm pretty sure its correct

Answer:

15%

Step-by-step explanation:

Given that:

Number of people who went to swimming pool in the first week = 1120

In second week, there are 100 fewer people, so

Number of people who went to swimming pool in the second week = 1020

In third week, there are 140 more people, so

Number of people who went to swimming pool in the third week = 1160

In fourth week, there are 208 fewer people, so

Number of people who went to swimming pool in the fourth week = 952

To find:

Percentage decrease in the number of people who went to the pool over the four weeks?

Solution:

Initial value = 1120

Final value = 952

Decrease in the value = Final value - Initial value

Decrease in the value = 1120 - 952 = 168

To find the percentage, we need to take the initial value in the consideration.

Therefore, percentage decrease is:

\(\dfrac{Decrease}{Initial\ value}\times 100\)

\(\Rightarrow \dfrac{168}{1120}\times 100\\\Rightarrow \bold{15\%}\)

Answer:

Step-by-step explanation:

The binary representation of 5,318,008 is 10100010010010101111000, whereas the binary representation of 73 is 1001001.

We notice that 73 is a binary palindrome while 5,318,008 is not, therefore we conclude that the best number is 73 and the answer is a.

Answer:

5?

Step-by-step explanation:

I don't know. I believe it is 5, but this isn't exactly accurate.

Answer:

10

Step-by-step explanation:

Pythagorean Theorem:

\(a^{2} + b^{2} = c^{2}\)

Putting the values in the variables:

\((10 + x)^{2} + 15^{2} = 25^{2}\)

\((10 + x)^{2} + 225 = 625\)

\((10 + x)^{2} = 400\)

\(10 + x = \sqrt{400}\)

\(10 + x = 20\)

\(x = 20 - 10 = 10\)

Answer:

c = 52 m

Step-by-step explanation:

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

c² = 48² + 20² = 2304 + 400 = 2704 ( take square root of both sides )

c = \(\sqrt{2704}\) = 52 m

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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The expressions which is equivalent to the given expression; 3^(2x -3) is; the quantity 9 to the power of x end quantity over 27.

Option (A) is correct.

It is required to choose the expressions.

Index laws are the rules for simplifying expressions involving powers of the same base number. Index (indices) is the exponent which is raised to a number.

Given:

It follows from the task content that the equivalent expression as in the task content can be determined by the laws of Indices.

Now, according to laws of indices;

\(3^{2x} =( 3^{2}) ^{x}\)

Thus, we now have;

\(= (3^{2} )^{x} )/3^{3} \\= (9^{x} )/3^{3} \\= (9^{x} )/27\)

Therefore, the expressions which is equivalent to the given expression; 3^(2x -3) is; the quantity 9 to the power of x end quantity over 27.

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Answer:

New Coordinates W(-4, 5), X(-5, 6), (-8, 8), 2(-8,6)

Answer:

Surface area: 18,144m

Volume: 139,968m³

Step-by-step explanation:

Surface area:

72x72 =  5184m on bottom, as well as top

5184+5184= 10368

27x72 for side length =  1944

1944 x 4 sides = 7776

7776+10368 = 18,144m surface area

Volume:

72x72x27 = 139,968m³

Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on

Step-by-step explanation:

Answer:

Even

Step-by-step explanation:

An odd number added by an odd number will equal an even number.

Good luck :)

Answer:

Even

Step-by-step explanation:

All the answers to adding up odd numbers in the bellow examples shows even answers.

The shaded area under the probability curve for X = female wrist girth (cm) represents the probability of certain events related to the wrist girth. The interpretation of the shaded area depends on its location and the given statements.

         The shaded area under a probability curve represents the probability of an event occurring within a specific range. In this case, we are considering the female wrist girth (X) and its associated probability curve.

If the shaded area is to the right of 16 cm, we interpret it as the probability that a woman has a wrist girth larger than 16 cm.

If the shaded area represents a single point exactly at 16 cm, we interpret it as the probability that a woman has a wrist girth of exactly 16 cm.

If the shaded area is to the left of 16 cm, we interpret it as the probability that a woman has a wrist girth less than 16 cm.

However, without further information or a visual representation, it is difficult to determine the exact interpretation of the shaded area. The context and the specific statements provided would help clarify the intended meaning of the shaded area.

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Answer:

6 square units

Answer: $6

Step-by-step explanation:

3.50 + 1.50 = 5

5 + 1 = 6

Answer: 64 i believe

Hope this helps :)

Answer: 14 women and 10 men

Step-by-step explanation:

Take 7 women and then 5 men and you get 12 people in total

Do the same thing and add 7 more women and 5 more men

you get 24 total students

Answer: 14 men and 10 women

Step-by-step explanation:

Divide 24 ( # of students) by the sum of the ratios.

24 divided by 7+5

24/12= 2

The ratio of men to women is 7:5

Multiply each ratio by 2.

7x2=14 men

5x2= 10 women

Add them both together to check your answer.

14 men + 10 women = 24 students

Answer:

The volume of a figure is the number of cubes required to fill it completely, like blocks in a box. Volume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed.

Step-by-step explanation: pls

To solve the investment problem and determine how the retiree should invest her money to maximize expected earnings, we can set up a linear programming problem using the given data.

Let's define the decision variables as follows:

xM: Amount invested in municipal bonds (in dollars)

xR: Amount invested in real estate (in dollars)

xβ: Amount invested in blue chip stocks (in dollars)

xJ: Amount invested in junk bonds (in dollars)

xG: Amount invested in grain futures (in dollars)

The objective is to maximize expected earnings, which can be represented as:

0.06xM + 0.08xR + 0.1xβ + 0.12xJ + 0.15xG

Subject to the following constraints:

xM + xR + xβ + xJ + xG ≤ 250,000 (total investment cannot exceed $250,000)

xR / 100,000 + 1.5xβ / 100,000 + 2.5xJ / 100,000 + 5xG / 100,000 ≤ 5 (total management hours per week cannot exceed 5)

xM, xR, xβ, xJ, xG ≥ 0 (investment amounts cannot be negative)

Using Excel or any other linear programming software, we can input these constraints and the objective function to obtain the optimal solution. However, based on the provided information from Maple, the solution is as follows:

xM = $27,500

xR = $125,000

xβ = 0

xJ = 0

xG = 0

This means that the retiree should invest $27,500 in municipal bonds and $125,000 in real estate to maximize her expected earnings. No investment should be made in blue chip stocks, junk bonds, or grain futures according to this solution.

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The correct option is b. 7,234.56 cm.

To calculate the minimum storage space the container must have to fit all the balls, the formula for the volume of a sphere will be used.

Given the radius of each basketball is 12 cm, the volume of a sphere can be calculated as follows:V = 4/3πr³where;V is the volume of the sphereπ is the mathematical constant, pi. (3.1416) r is the radius of the sphere.

Substituting 12cm for r in the above formula, we get:\(V = 4/3π(12)³V = 4/3 x 3.1416 x 12³V = 7,238.23 cm³\)

Since there are 8 basketballs in the storage box, the total volume of the 8 basketballs is obtained by multiplying the volume of one basketball by 8.

Thus;Total volume = 7,238.23 cm³ x 8 = 57,905.84 cm³

Hence, the minimum amount of storage space the container must have to fit all the balls is 57,905.84 cm³.

Therefore, the correct option is b. 7,234.56 cm.

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The solution of the system of equations using Cramer's rule is x = 37/39 and y = 9/39.

The solution of the system of equations using Cramer's rule is calculated as follows;

The given equations are as follows;

9x - 2y = -9

-3x - 8y = 1

The determinant of the coefficient matrix is calculated as;

D = [9      -2]

      [-3     -8]

D = -8(9) - (-3 x - 2)

D = -72 - 6 = -78

The x coefficient is calculated as;

Dx = [-2      -9]

       [ -8       1]

Dx = -2(1) - (-8 x -9)

Dx = -2 - 72 = -74

The y coefficient is calculated as;

Dy = [9      -9]

       [ -3       1]

Dy = 9(1) - (-3 x -9)

Dy = 9 - 27 = -18

The x and y values is calculated as;

x = Dx/D  = -74/-78 = 74/78 = 37/39

y = Dy/D = -18/-78 = 18/78 = 9/39

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x + 3y + 27 is the standard form of the equation  \(\rm y={-\tfrac{1}{3}}x-9\).

Functiοn can be defined in which it relates an input tο οutput.

Initially, functiοns represented the idealised relatiοnship between twο varying quantities. A planet's pοsitiοn, fοr instance, depends οn time. In the past, the idea was develοped with the infinitesimal calculus at the end οf the 17th century, and the functiοns that were taken intο cοnsideratiοn until the 19th century were differentiable (that is, they had a high degree οf regularity).

The dοmains οf applicatiοn οf the cοncept οf a functiοn were greatly expanded at the cοnclusiοn οf the 19th century when it was fοrmalised in terms οf set theοry.

Standard form is given by

ax + by + c

Here, equation is  \(\rm y={-\tfrac{1}{3}}x-9\)

Convert it to standard form

⇒  \(\rm y={-\tfrac{1}{3}}x-9\)

⇒  \(\rm y={-\tfrac{x}{3}}-\frac{27}{3}\)

⇒ \(\rm y={\dfrac{-x -27}{3}}\)

⇒ \(\rm 3y=-x -27\)

⇒ \(\rm x+ 3y= -27\)

⇒ \(\rm x+ 3y+27\)

Thus, x + 3y + 27 is the standard form of the equation  \(\rm y={-\tfrac{1}{3}}x-9\).

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Complete question:

What is \(\rm y={-\tfrac{1}{3}}x-9\) written in standard form?