Write the formula for the mean cell phone bill from March to September using sigma notation and determine that mean. Round your answer to the nearest cent.

This year, the number of raffle tickets sold for a school's extracurricular activities fundraiser is 848. It is estimated that the number of raffle tickets sold will increase by 5% each year.

The total number of raffle tickets sold at the end of 9 years is approximately 9,818.  

To find the total number of raffle tickets sold at the end of 9 years, we need to calculate the number of tickets sold each year and sum them up.

Starting with the initial number of tickets sold, which is 848, we will increase this number by 5% each year for a total of 9 years.

Year 1: 848 + (5% of 848) = 848 + 42.4 = 890.4

Year 2: 890.4 + (5% of 890.4) = 890.4 + 44.52 = 934.92

Year 3: 934.92 + (5% of 934.92) = 934.92 + 46.746 = 981.666

Year 9: Ticket sales at the end of 9 years = Number of tickets sold in Year 8 + (5% of Year 8 sales)

Year 9: Total = 1,399.585 + 69.97925 = 1,469.56425 ≈ 1,469.56

The total number of raffle tickets sold at the end of 9 years is approximately 1,469.56.

The correct option is 9,818.

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Answer: A

Step-by-step explanation:

The polynomial has roots at \(x=-4, -2, 4\).

So, the equation should have factors of \((x+4), (x-2), (x-4)\).

This eliminates everything except for A.

Answer:

histogram

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

just because it is

The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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Answer:

Fraction-12/25     Decimal-0.48

Step-by-step explanation:

To divide fractions, we have the use the term, Keep, Change, Flip.

In this case, the two fractions are 2/5 and 5/6.

First, we Keep the 2/5.

Now, we Change the division sign by a multiplication sign.

So it would look like 2/5x5/6.

Now, for the final step, we Flip the second fraction.

Now, the question would look something like this.

2/5x6/5.

Now, we multiply.

2x6=12,  and 5x5=25.

The answer would be 12/25.

In decimal form, it would be 0.48.

Hope that helped!  :D

Answer:

4096

Step-by-step explanation

Do  2×2×2×2×2×2×2×2 to get 256

Then do 2×2×2×2 to get 16

Lastly do 256×16 to get a grand total of 4096

Answer:

i think it is..

Step-by-step explanation:

Answer:

First one would be y=2x (the cost of each ticket is 2 and x is the number of tickets that you are buying)

The second one is y=x+10 (each ticket is one and 10 is the one time set up fee)

Answer:

(-2, 3)

Step-by-step explanation:

I believe (-2, 3)

y≤−5x−10 and y>x+2 The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

To graphically solve this system of linear inequalities, we can start by graphing each inequality on the same coordinate system:

First, let's graph the inequality y ≤ -5x - 10. We can start by graphing the line y = -5x - 10, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,-10), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y ≤ -5x - 10. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y ≤ -5x - 10 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 ≤ -5(0) - 10

0 ≤ -10

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, let's graph the inequality y > x + 2. We can start by graphing the line y = x + 2, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,2), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y > x + 2. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y > x + 2 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 > 0 + 2

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, we can shade the region that satisfies both inequalities. The shaded region is the region that is below the line y = -5x - 10 (including the line itself) and above the line y = x + 2 (excluding the line itself).

The shaded region is shown below:

Graph of y≤−5x−10 and y>x+2

The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

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Mr. Cho received 3840 eggs in the beginning.

Let's assume that Mr. Cho received x eggs in the beginning.

In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.

In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.

At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:

3/4 × x = 2/3 × x - 320

Multiplying both sides by 12, we get:

9x = 8x - 3840

Simplifying, we get:

x = 3840

Therefore, Mr. Cho received 3840 eggs in the beginning.

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Answer:

a) 1/5 bucket = 1 gallon

b) 8.4 buckets = 1 barrel

c) 5376 fl oz per barrel

Step-by-step explanation:

a) From the given information, 1 bucket = 5 gallons. This means 1/5 of a bucket is 1 gallon.

b) From the given information, 8.4 buckets = 1 barrel. This seems to be in the form that the question is asking for. If the question was asking how many barrels were in a bucket the answer would be 1/8.4 barrels = 1 bucket.

c) From the previously determined conversion factors, we can take ounces to barrels by converting barrels down to gallons.

1/8.4 barrels = 1 bucket; 1/5 bucket = 1 gallon; 1 gallon = 128 fluid ounces

We need to set up a series of fractions that use these factors:

\(\frac{128 fl oz}{1 gallon}*\frac{1 gallon}{1/5 buckets}*\frac{1 bucket}{1/8.4 barrels}\)

These fractions can be simplified to \(\frac{128 fl oz}{1 gallon}*\frac{5 gallon}{1 bucket}*\frac{8.4 buckets}{1 barrel}\)

Multiply the fractions: 5376 fl oz per barrel

(Note that the units cancel out in the fractions so that only fluid ounces per barrel are left.)

9514 1404 393

Answer:

  t = 2 units

Step-by-step explanation:

The perimeter is the sum of the side lengths:

  AD +DB +BE +EC +AC = 48 = 3t +3t +4t +4t +7t +6

  42 = 21t . . . . . . subtract 6 and simplify

  42/21 = t = 2 . . . . . . divide by the coefficient of t

Answer: 120 + 10s + 30

Step-by-step explanation:

120 + 10s + 30

let "s" be the amount of screws

Yes , it is true that two pairs of adjacent sides of a kite are equal .

A quadrilateral with two pairs of adjacent sides equal in length is called a kite. Kites also have one pair of opposite angle equal as shown in the figure below.

Hence , the given statement is true .

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The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Answer:

y=4x+4

Step-by-step explanation:

Things you ought to know

1. The equation of a linear function is y=mx+b

2. "m" is the slope

3. "b" is the y-intercept (the value of y when x is equal to zero)

How to find the slope:

1. The formula of slope is \(\frac{y_{2} - y_{1}}{x_2-x_1}\)

2. Find two x coordinates and two y coordinates

Finding the slope in this equation:

1. two coordinates: (-2, -4) (3, 16)

2. Use the formula

\(\frac{-4-(16)}{-2-(3)}\)

\(\frac{-20}{-5}\)

\(4\)

now we know to slope

Plug it back into the equation:

The equation becomes y=4x+b

Now we find the y-intercept (b)

Use a coordinate like (-2, -4)

Substitute

-4=4(-2)+b

-4=-8+b

+8-4=-8+8+b

4=b

b=4

Now we know the equation

y=4x+4

The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%

The percentage of a data set is when part of the data is represented per 100 with a symbol of %.

It was stated in the question that 80% of Americans report being afflicted by stress.

Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.

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Answer:

X = 20

Step-by-step explanation:

2x + 15 = 180 - (84 + 41)

2x + 15 = 180 - 125

2x + 15 = 55

2x = 40

x = 20

Step-by-step explanation:

the sum of all angles in a triangle is always 180°.

so,

180 = 84 + 41 + (2x + 15)

55 = 2x + 15

40 = 2x

x = 20

The sprinter will complete the race in approximately 17.07 seconds.

To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.

Acceleration Phase:

The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:

v = u + at

Here:

v = final velocity (which is the velocity at the end of the acceleration phase)

u = initial velocity (which is 0 since the sprinter starts from rest)

a = acceleration

t = time

Rearranging the equation, we have:

t = (v - u) / a

Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:

t = v / a

Plugging in the values, we get:

t = 25 m / 1.64 m/s²

Constant Velocity Phase:

Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:

t = d / v

Here:

d = distance

v = velocity

Plugging in the values, we get:

t = 75 m / (v)

Since the velocity remains constant, we can use the final velocity from the acceleration phase.

Now, let's calculate the time for each phase and sum them up to get the total race time:

Acceleration Phase:

t1 = 25 m / 1.64 m/s²

Constant Velocity Phase:

t2 = 75 m / v

Total race time:

Total time = t1 + t2

Let's calculate the values:

t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)

Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:

v = u + at

Here:

u = initial velocity (0 m/s)

a = acceleration (1.64 m/s²)

t = time (25 m)

Plugging in the values, we get:

v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s

Now, let's calculate the time for the constant velocity phase:

t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)

Finally, let's calculate the total race time:

Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)

Therefore, the sprinter will complete the race in approximately 17.07 seconds.

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1) 3:00 to 4:00

2) 103

The required solution is 4:00 to 5:00 and  87  customers.

It is required to fill in the blanks.

The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given:

According to question , Initially, there were 75 customers.

From 1:00 to 2:00, a total of 30 more people entered, meaning there were

 75 + 30 - 12

= 93 people.

From 2:00 to 3:00, a total of 14 more people entered, meaning there were

93 + 14 - 8  

= 99 people.

From 3:00 to 4:00, a total of 18 people entered, meaning there were

 99 + 18 - 30

= 87 people.

4:00 to 5:00   :  If the store does not accept any more customers except those who are already inside then, all 87 must leave between 4:00 to 5:00 in order to left from the store by 5:00.

Therefore, the required solution is 4:00 to 5:00 and  87  customers.

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Answer:

I cant help you theres no graph sorry

Step-by-step explanation:

Using the interpretation of a confidence interval, it is found that the correct option is:

x% confidence interval:

Hence, the correct option is:

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None of them is correct and the value of f(5/2) is 1.6 to 1 decimal place

From the question, we have the following parameters that can be used in our computation:

f(x) = √x

Substitute 5/2 for x

So, we have

f(5/2) = √5/2

When the above is compared to their functions, we have no equivalent expression

This means that none of the notations is correct

Next. we have

f(5/2) = 1.6

Hence, the value is 1.6

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Answer:

7

Step-by-step explanation:

Answer:

m=7

Step-by-step explanation:

Answer:

53%

Step-by-step explanation:

Total voters = 5,800

5,800= 100%

3,074=X

X=3,074*100/5,800= 53%

The algebraic expression for the sentence in this problem is given as follows:

n - (x + 8).

The sentence in this problem is given as follows:

"A number n minus the sum of the number and eight".

The sum of an unknown number x and eight is given as follows:

x + 8.

The subtraction of the number n by the expression is given as follows:

n - (x + 8).

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The amount of milk Deshaun drinks in 9 days is 2.25 L or 2250 milliliters

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of milk Deshaun drinks in 9 days = A

Let the amount of milk Deshaun drinks in a day = 0.25 L

Now , the equation will be

The amount of milk Deshaun drinks in 9 days = 9 x amount of milk Deshaun drinks in a day

Amount of milk Deshaun drinks in 9 days = 9 x 0.25

                                                                     = 2.25 L

Now , 1 Liter = 1000 milliliters

So , Amount of milk Deshaun drinks in 9 days = 2.25 L

                                                                             = 2.25 x 1000 milliliters

                                                                             = 2250 milliliters

Therefore , the value of A = 2250 milliliters

Hence ,

The amount of milk Deshaun drinks in 9 days is 2.25 L or 2250 milliliters

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