Probability part 2 is shunya is going to spin the spinner 200 times. (B) work out an estimate for the number of times the spinner will land on 3 (please show working out ) :)

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer:

Let Jiri's age be as 'x'

Therefore, Pamela's would be 2x

Since the addition of both is 72, the equation formed would be..

2x+ x =72

3x =72

x= 72÷3

x = 24 years.

Therefore, Jiri's age is 24 and Pamela's is twice of Jiri ie 48 years.

The pick-up rate in this scenario would be 80%. This is calculated by dividing the number of rooms occupied (160) by the number of rooms reserved (200), and then multiplying by 100 to get a percentage. So, (160/200) x 100 = 80%. This means that 80% of the reserved rooms were ultimately occupied.

It's important to note that a pick-up rate of 80% is generally considered to be a good result in the hospitality industry. It indicates that the hotel was able to accurately predict the number of rooms that would be needed by the groups, and that the groups themselves followed through on their reservations. A lower pick-up rate could suggest that the hotel overestimated demand, or that some of the groups cancelled their bookings at the last minute. On the other hand, a higher pick-up rate could indicate that the hotel was too conservative in its initial estimates, or that some of the groups requested additional rooms after the initial reservation was made. Ultimately, the pick-up rate is a useful metric for assessing the accuracy of a hotel's forecasting and planning processes.

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Work Shown:

Let's make each of those unlabeled angles be angle y.

We have two copies of y, since the arcs are the same (meaning they are congruent angles) and 44 as well.

The three interior angles of any triangle add to 180

44+y+y = 180

2y+44 = 180

2y = 180-44 ... subtracting 44 from both sides

2y = 136

y = 136/2 ... divide both sides by 2

y = 68

Once we know y, we can find x

x+y = 180 ... since the adjacent angles form a straight line

x+68 = 180

x = 180-68 ... subtract 68 from both sides

x = 112

Answer: 66% I think.

Step-by-step explanation: 550 is way less that 1.000

Answer:

See the answers below

Step-by-step explanation:

Given data

Account 1 SImple interest

P= $2500

R=4%

T= 3 years

A=P(1+rt)

A=2500(1+0.04*3)

A=2500(1+0.12)

A=2500*1.12

A= $2800

Account 2 compound interest

P= $2500

R=4%

T= 3 years

A= P(1+r)^t

A=2500(1+0.04)^3

A=2500(1.04)^3

A=2500*1.124864

A= $2812.16

Answer: the answer is $5.612.16

Step-by-step explanation: Part 1) Account I earns 4% annual simple interest.

we know that

The simple interest formula is equal to

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

substitute in the formula above

Part 2) Account II earns 4% interest compounded annually.

we know that    

The compound interest formula is equal to  

A=P(1+rt)

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=3 years

p=$2,500

r=4%=4/100=0.04

substitute in the formula above  

A=2,500(1+0.04 * 3)

A=2,500 (1.12)

A=$2,800

Part 3) What is the sum of the balances of Account I and Account II at the end of 3 years?

Sum the two final investment

$2,800 + $2,812.16 = $5.612.16

Answer:

85% of 19 = 16.15

Step-by-step explanation:

Jerico, the food rider, will earn Php 7350 for a week excluding Saturday and Sunday.

To calculate the earnings for a week excluding Saturday and Sunday, we need to multiply the number of orders/deliveries Jerico makes in a day (15) by the amount he earns per order/delivery (Php 49), and then multiply that by the number of weekdays in a week (5).

Daily earnings = Number of orders/deliveries × Earnings per order/delivery = 15 × Php 49 = Php 735

Since there are 5 weekdays in a week, we multiply the daily earnings by 5:

Weekly earnings = Daily earnings × Number of weekdays = Php 735 × 5 = Php 3675

Therefore, Jerico will earn Php 3675 for a week excluding Saturday and Sunday.

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The area of the rectangular playground of 62.5ft length and 100ft breadth is 6250 square feet. In this case, the playground covers an area of 6250 square feet, which is a large space for children to play and have fun.

To find the area of the rectangular playground, we need to multiply the length by the width. The length of the playground is given as 100ft and the width is 62.5ft. Therefore, the area of the playground can be calculated as:

Area = Length x Width
Area = 100ft x 62.5ft
Area = 6250 square feet

So, the area of the rectangular playground is 6250 square feet. This means that the entire playground measures 100 feet in length and 62.5 feet in width. The area of a rectangular shape is always given in square units, which means that we are measuring the amount of space inside the shape. .

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Answer:

882 cubic ft.

Step-by-step explanation:

10.5 x 10.5 = 110.25

110.25 x 8 = 882 ft

Answer:

the volume of a room = 882 ft³

Step-by-step explanation:

given;

dimensions  of a room 10 1/2 ft. x 10 1/2 ft. x 8 ft.

find:

volume

volume = L x W x H

let L = 10 1/2 ft.

W = 10 1/2 ft.

H = 8 ft.

plugin values into the formula:

V = 10.5 x 10.5 x 8

V = 882 ft³

therefore,

the volume of a room = 882 ft³

Cost to put a 0. 5 ft layer of topsoil on the entire garden is $1000.

The quantity of square units required to completely fill a square is known as the area of a square. The region that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area. Measurements are made in square units, with square meters serving as the reference unit 

Area of a Square = Side × Side.

Therefore, the area of square = Side square units.

Side of a square garden= 10 ft.

Area of a square garden= Side × Side= 10 × 10 =100 square ft.

Cost of the whole garden = 100×$5 =$500

Cost to put a 0. 5 ft layer of topsoil on the entire garden =$500/0.5

=$1000

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The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

According to the given statement

we have given that the

side length of the square garden is 10ft.

topsoil cost per foot is $5

And we have to find the cost which required to put a 0. 5 ft layer of topsoil on the entire garden.

So,

The  side length of the square garden is 10ft.

Now, the volume of the cube is (a)^2

And

Total volume of cube = 10*10

Total volume of cube = 100 per square foot.

Now, we find the cost required for a topsoil.

Cost required to put a topsoil of 1 foot in the total volume of cube = volume*cost

So,

Cost required to put a topsoil of 1 foot in the total volume of cube = 1000*5

Cost required to put a topsoil of 1 foot in the total volume of cube = $5000

if we put a topsoil of 0.5 feet then

The cost required = $5000/0.5

The cost required = $1000.

So, The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

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Answer:

2:140

1:70

Step-by-step explanation:

:)

There are a total of 5040 different ways in which 7 files can be arranged in a file cabinet. This can be calculated by using the formula for permutation, which is n! / (n-r)!, where n is the total number of objects and r is the number of objects being arranged. In this case, n=7 and r=7, so the formula would be 7! / (7-7)!, which simplifies to 7! / 0!. Since 0! is equal to 1, the equation becomes 7!, which is equal to 5040.

To determine the number of different ways to arrange 7 files in a file cabinet, we need to consider the concept of permutations. A permutation is an arrangement of objects in a specific order.

Since there are 7 files, each file has a unique position in the cabinet. When you place the first file, you have 7 options. Once the first file is placed, you have 6 remaining options for the second file, 5 options for the third, and so on.

To calculate the total number of arrangements, we multiply the number of options for each position together:

7 (options for 1st file) × 6 (options for 2nd file) × 5 (options for 3rd file) × 4 (options for 4th file) × 3 (options for 5th file) × 2 (options for 6th file) × 1 (option for 7th file)

This is equal to 7! (7 factorial) which equals:

7 × 6 × 5 × 4 × 3 × 2 × 1 = 5,040

So, there are 5,040 different ways to arrange the 7 files in the file cabinet.

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Answer:

(3)√12

Step-by-step explanation:

The other numbers are not continuous

Complement of set A is the set of all elements in the universal set that are not in the set .

If there is a subset of the universal set (U) called A, then the complement of set A, denoted by the symbol A', is different from the elements of set A and contains the elements of the universal set but not the elements of set A.

In this case, A' = x U: x A.

In other words, the complement of a set A is the difference between the universal set and set A.

For example: U = {1, 2, 3, 5, 7, 9, 15 ,14, 13}, A = {1, 2, 3, 5,7,9}, find the complement of A.

A' = U - A = {1, 2, 3, 5, 7, 9, 15,14,13} - {1, 2, 3, 5,7,9} = {15,14, 13}

A set that contains items from all related sets, without any repetition of elements, is known as a universal set (often symbolised by the letter U). If A and B are two sets, for example, A = 1, 2, 3 and B = 1, a, b, c, then U = 1, 2, 3, a, b, c is the universal set that these two sets belong to.

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The surface area of the cylinder is approximately 401.92 square centimeters. To find the surface area of the cylinder, we need to add the area of the top and bottom circles to the area of the lateral surface.

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

where r is the radius of the base, h is the height of the cylinder, and π ≈ 3.14.

Given that the radius is 8 cm and the height is also 8 cm, we can plug in the values in the formula:

SA = 2π(8²) + 2π(8)(8)

SA = 401.92

Rounding to the nearest hundredth, we get:

SA ≈ 401.92 square centimeters

Therefore, the surface area of the cylinder is approximately 401.92 square centimeters.

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Answer:

12

Step-by-step explanation:

The time it take riders to pass over the hill and reach ground level is 111.19 seconds .

Given :

the roller coaster's height expressed by the equation below;

h = -0.067t^2 + 7t + 50

where

t is the time in seconds

The driver will hit the ground at the point where h = 0

Substitute

-0.067t^2 + 7t + 50 = 0

Multiply through  by -1

0.067t^2 - 7t +-50 = 0

Factorize :

On factorizing, the positive value of "t" is 111.19 seconds

Hence the time it take riders to pass over the hill and reach ground level is 111.19 seconds

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Answer:

Divide by 39 on both sides

Step-by-step explanation:

y = 6

Answer:

Divide by 39 on both sides y=6

By completing the square, the equation in standard form is (x - 2)² + (y + 4)² = 4².

In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

From the information provided below, we have the following equation of a circle:

x² - 4x + y² + 8y = -4

x² - 4x + (-4/2)² + y² + 8y + (8/2)² = -4 + (-4/2)² + (8/2)²

x² - 4x + 4 + y² + 8y + 16 = -4 + 4 + 16

(x - 2)² + (y + 4)² = 16

(x - 2)² + (y + 4)² = 4²

Therefore, the center (h, k) is (2, -4) and the radius is equal to 4 units.

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Complete Question:

Complete the square to rewrite the following equation in standard form. x² - 4x + y² + 8y = -4.

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

I believe the first is arithmetic because it has a difference Of 6 between each number. The second is geometric because each number is divided by 4 to get the next number

Step-by-step explanation:

5, 11, 17, 23, 29, 35. (Difference of 6)

4000, 1000, 250, 62.5, 15.62, 3.90 (divide by 4)

As for the formulas I’m not sure, but I I would guess something like

an=6n-1

an=n/4

I am not sure about the formulas though

To determine whether the series ∑(n=1 to infinity) 7n/n is convergent or divergent, we can apply the ratio test. The ratio test helps us determine the convergence or divergence of a series by examining the limit of the ratio of consecutive terms.

In this case, let's calculate the ratio of consecutive terms using the formula for the ratio test:

lim(n→∞) |(7(n+1)/(n+1))/((7n/n)|

Simplifying the expression, we get:

lim(n→∞) |7(n+1)/n|

As n approaches infinity, the limit evaluates to:

lim(n→∞) |7(n+1)/n| = 7

Since the limit is a finite positive value (7), which is less than 1, the ratio test tells us that the series is convergent.

However, you mentioned identifying an (term) in the series, and it seems there may be an incomplete part of the question. Please provide additional information or clarification about identifying an term in the series so that I can provide a more specific answer.

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Answer:

\(\boxed{2x-3}\)

Step-by-step explanation:

\(f(x)=3x-1\\ g(x)= x+2\)

\((f-g)(x)\\f(x)-g(x)\)

\((3x-1)-(x+2)\\ 3x-1-x-2\\2x-3\)

Answer:

C

Step-by-step explanation:

Correct me if i'm wrong-.

Answer:is 5 ^ -2 ????

Step-by-step explanation:

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

The dimensions of the cylindrical mailing tube of greatest volume that may be mailed using the US Postal Service are approximately:

Diameter: 3.45 inches

Length: 18.7 inches
Volume: 123.8 cubic inches.

To find the dimensions of the cylindrical mailing tube of greatest volume that may be mailed using the US Postal Service, we need to consider the dimensional restrictions set by the Postal Service. According to their regulations, the length and girth (circumference plus the diameter) of a package must not exceed 108 inches combined.

Let's assume that the tube has a diameter of "d" and a length of "L". The girth of the package is the sum of the circumference of the circular ends and the diameter of the tube, so we have:

Girth = 2π(d/2) + d = πd + d

The length and girth must satisfy the inequality:

L + Girth ≤ 108

Substituting the expression for Girth, we get:

L + πd + d ≤ 108

Solving for L in terms of d, we get:

L ≤ 108 - (π + 1)d

Now, let's consider the volume of the cylindrical tube, which is given by:

V = πr²L = (πd²/4) L

Substituting the expression for L, we get:

V = (πd²/4) (108 - (π + 1)d)

To find the maximum volume, we can take the derivative of V with respect to d, set it equal to zero, and solve for d:

dV/dd = 0

d[πd²/4 (108 - (π + 1)d)]/dd = 0

πd/2 - 3π²d/4 - π/4 + 27/4 = 0

Solving for d, we get:

d = 27/(4π - 6π²)

Substituting this value of d back into the expression for L and the equation for the maximum volume, we get:

L = 108 - (π + 1)d ≈ 18.7 inches

V = (πd²/4) (108 - (π + 1)d) ≈ 123.8 cubic inches

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Answer:

175/18

Step-by-step explanation:

Hope this helps.

Answer:

175/18 or 9 13/18

Step-by-step explanation: