a city depatment uses an average of 25 10cent,35 15 cent and 350 20 cent postage stamps each day.the total cost of stamps used by the department in a 5 day period is

259.25π in² is the surface area of the cone

The surface area of a cone can be calculated using the formula SA = πr² + πrl

where r is the radius and l is the slant height.

Given that the diameter is 17 inches, the radius (r) is half of the diameter, which is 17/2 = 8.5 inches.

The slant height (l) is given as 22 inches.

Substituting these values into the formula:

Surface Area = π(8.5)² + π(8.5)(22)

= 72.25π + 187π

= 259.25π

Therefore, the surface area of the cone is 259.25π in²

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Answer:

These are easy you should know

Step-by-step explanation:

But it looks like you got the answers already God Bless

Answer:

26.8

Step-by-step explanation:

Answer:

a) The third quartile Q₃ = 56.45

b) The variance = 2633.31

Step-by-step explanation:

a) The coefficient of skewness formula is given as follows;

\(SK = \dfrac{Q_{3}+Q_{1}-2Q_{_{2}}}{Q_{3}-Q_{1}}\)

Plugging in the values, we have;

\(-0.38 = \dfrac{Q_{3}+30.8-2 \times 48.5_{_{}}}{Q_{3}-30.8}\)

Solving gives Q₃ = 56.45

b) To determine the variance, we use the skewness formula as follows;

\(SK_{p} = \dfrac{Mean-\left (3\times Median - 2\times Mean \right )}{\sigma } = \dfrac{3\times\left ( Mean - Median \right )}{\sigma }\)

Plugging in the values, we get;

\(-0.38= \dfrac{42-\left (3\times 48.5- 2\times 42\right )}{\sigma } = \dfrac{-19.5}{\sigma}\)

\(\therefore \sigma =\dfrac{-19.5}{-0.38} = 51.32\)

The variance = σ² = 51.32² = 2633.31.

The Dividend per Shareholder in 2017 is $20.

As, Dividend per Shareholder = Profit / Number of Shareholders

Since the number of shareholders is assumed to have remained unchanged during the period 2017-2020, we can calculate the dividend per shareholder in 2017 using the profit value for that year.

Based on the given table, the profit for 2017 is $7,000.

Dividend per Shareholder in 2017

7000/x = 15500 / 44.29

7000/x = 349.966

x = 7000/349.966

x= 20.01

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Answer:

x= - 52

Step-by-step explanation:

we need to multiply  both sides by 4 to leave the x alone

so

\(\frac{-x}{4} *4= 13*4\\-x= 52\\\frac{-x}{-1}=\frac{52}{-1}\\ x=-52\)

The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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The unknown angle of the triangle is 58 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, the unknown angle can be found using the external angle theorem.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle

Hence,

138 = x + 80

x = 138 - 80

x = 58 degrees

Therefore, the unknown angle is 58 degrees.

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Answer:

x=6

Step-by-step explanation:

subtract the 2x from 4x and add 3 to 9. we would get 2x=12. divide by 2 on both sides and you get x=6!

The value of common ration r is 4.

Given that,

a₁ = 9

a₅ = 2304

We know that,

A geometric sequence  is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.

The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.

Since we know that nth term of GP is,

\(a_{n}\) = a₁ \(r^{n-1}\)

Therefore,

a₅ = a₁ \(r^{4}\)  = 2304

⇒  9 x \(r^{4}\)  = 2304

⇒        \(r^{4}\)  = 256

⇒           r = 4

Hence, r = 4

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Answer:

0.76

Step-by-step explanation:

\(There\ are\ two\ situations:\ 1.\ A\ is\ obtained\\)
                                            \(2.\ A\ is\ not\ obtained\ but\ B\ is\ obtained\\)

\(1:P=0.6\)

\(2:P=(1-0.6)\) × \(0.4=0.16\)

So the probability is \(ab+0.16=0.76\)

I hope this helps you

:)

Probability helps us to know the chances of an event occurring. The probability of getting at least one contract is 0.76.

Probability helps us to know the chances of an event occurring. The sum of all the probabilities of an event is always equal to 1. The formula for probability is given as,

\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

The probability of not getting A, A' = 1 - 0.6 = 0.4

The probability of not getting B, when contractor does not get A,

A'∩B' = 1 - 0.4 = 0.6

Now, the probability of not getting any of the contract is,

Probability of not getting any contract = P(A') × P(A'∩B')

                                                                = 0.4 × 0.6

                                                                = 0.24

Now, the probability of getting at least one contract is,

Probability of getting at least one contract

= Total Probability - P(A'∩B')

= 1 - 0.24

= 0.76

Hence, the probability of getting at least one contract is 0.76.

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Answer:

11.52 years

Step-by-step explanation:

Say our initial investment was P

we want our total investment to result in twice of P, so 2P

we have x as our time continuously

2P=P(1.062)^x

2=1.062^x

log1.062(2)=x

x=11.52

The amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

Recall the compounding formula:

A = P * \(e^{rt}\)

Where:

A = Final amount in the account

P = Initial principal (deposit)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (as a decimal)

t = Time in years

Given:

Initial principal (P) = $16,000

Annual interest rate (r) = 2%  = 0.02

time (t) = 4 years.

Substitute these values into the formula, we get:

A = $16,000 * \(e^{0.02 * 4}\)

Using a calculator, we can calculate:

A = $16,000 * \(e^{0.08}\)

A = $16,000 * 1.0833

A = $17,332.8

Therefore, the amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

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Answer:

Step-by-step explanation:

Isolate by the x from one side of the equation.

First, you have to switch sides.

\(\sf{2+x\geq 26}\)

Then, subtract by the 2 from both sides.

\(\sf{2+x-2\geq 26-2}\)

Solve.

Subtract.

\(26-2=24\)

\(\large\boxed{x\geq 24}\)

The answer should be false.

Answer:

22

Step-by-step explanation:

3.85+2.75= 6.6

6.6÷0.30= 22

Answer:

The answer is 22 loaves of bread.

Step-by-step explanation:

You add 3.85 pounds + 2.75 pounds to get the total number of pounds she bought, which is 6.6 pounds of bananas.

Then you divide your total answer of 6.6 pounds by 0.30 pounds for each loaf, to get 22 loaves of bread.

Answer:

80

Step-by-step explanation:

Just average the two numbers to get (70+90)/2 = 160/2 = 80

Answer:

Step-by-step explanation:

To find the midpoint between two numbers, you add them together and divide the sum by 2.

In this case, the midpoint between 70 and 90 would be:

(70 + 90) / 2 = 160 / 2 = 80.

Therefore, the midpoint between 70 and 90 is 80.

Answer:

dont understand clearly

Step-by-step explanation:

dont understand clearly

The wheelchair access ramp must be 216.09 inches long.

To find the length of the wheelchair access ramp, we can use trigonometry.

The tangent function relates the angle of elevation to the ratio of the opposite side (height) to the adjacent side (length of the ramp).

Let's denote the length of the ramp as "x".

The height of the ramp is given as 18 inches.

Using the tangent function:

tan(angle of elevation) = height/length of the ramp

tan(4.8 degrees) = 18/x

To solve for x, we can rearrange the equation:

x = 18 / tan(4.8 degrees)

Using a calculator to evaluate the tangent of 4.8 degrees:

x = 18 / 0.08331

x= 216.09

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Answer: Margin of error = 1932

Step-by-step explanation: Margin of Error is the amount of variation a survey's results have. In other words, it is understood as the measure of variation one can see if the same survey was taken multiple times.

Margin of error is calculated as \(z\frac{\sigma}{\sqrt{n}}\)

z is z-score related to the percentage of confidence, in this z = 2.576

σ is population standard deviation

n is how many individuals are there in the sample or population

With a new level of confidence of 99%:

ME = \(2.576.\frac{4500}{\sqrt{36}}\)

ME = 2.576(750)

ME = 1932

The new margin of error would be 1932.

Answer:

I think its false

Step-by-step explanation:

Answer: True i think

Step-by-step explanation: If Nancy is two years older than Mark who is 13, then Nancy would be 15, 15 + 13 equals 28.

For Serenity's lemonade recipe, the lemons being used per cup of lemonade is 0.8

Ratio is a comparison of two quantities that are expressed in relation to each other. Ratios are typically expressed in the form of a fraction, with the numerator representing one quantity and the denominator representing the other quantity.

To find the rate at which lemons are being used in lemons per cup of lemonade, we need to calculate the ratio of lemons used to cups of lemonade.

According to the recipe, 4 lemons are required to make 5 cups of lemonade. So the rate of lemons used is:

4 lemons / 5 cups = 0.8 lemons per cup of lemonade

This means that for every cup of lemonade, 0.8 lemons are used.

Alternatively, we can also express this rate as a fraction, which gives us:

0.8 lemons / 1 cup of lemonade

Either way, the rate of lemons used is 0.8 lemons per cup of lemonade.

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Answer:

15 + x² = 19

Step-by-step explanation:

fifteen more than +15

a number squared x²

Answer:

V

Step-by-step explanation:

The centroid of a triangle is the point where 3 lines meet, the 3 lines are ones going from the middle of a side to the opposite corner of a triangle. You can look up "centroid" on a search engine to gain a clearer picture. Hope this helps friend.

He will use 9.375 acres of the land for the park

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.

Since the land is 21.5 acres and 0.75 of the land  was used for a park. we can write:

acres used for the park = 0.75 × 12.5 = 9.375 acres

Thus, he will use 9.375 acres for the park

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In the game Divider-chooser, as the name implies, one player, referred to as the dividers, divides S into two parts, and the other player, referred to as the dropdown, selects the share they desire while leaving the other share up for the spacer to decide.

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

In our instance, Fred and Maria will share a cake in this way.

Without regard to the type of cake, they each prefer, Fred offers to split the cake into 10 equal pieces as the first option.

Maria, the chooser, got to pick any seven pieces to get her fair portion. Fred will get the final three pieces. Maria will have better options with this strategy because she is a picky person.

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Answer:

the answer is -3 I just took the test and got 100%

Answer:

-3

Step-by-step explanation:

Answer is correct from plato, other guy is right too.

The number of short sleeves that Maria sold is 819.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them.

In this case, Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8.

The number of short sleeves will be:

= Ratio for short sleeve / Total ratio × Total number of clothes

= 9 / (8 + 9) × 1547

= 9/17 × 1547

= 819

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The value of variables x and y are,

⇒ x = 5

⇒ y = 10

We have to given that,

A right triangle is shown in figure.

Now, By using trigonometry formula we get,

⇒ tan 60° = Opposite / Base

Substitute all the values,

⇒ tan 60° = 5√3 / x

⇒ √3 = 5√3 / x

⇒ x = 5√3 / √3

⇒ x = 5

⇒ sin 60° = Opposite / Hypotenuse

Substitute all the vales, we get;

⇒ sin 60° = 5√3 / y

⇒ √3 / 2 = 5√3 / y

⇒ y = 2 × 5

⇒ y = 10

Thus, The value of variables x and y are,

⇒ x = 5

⇒ y = 10

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Answer:

o.ooo7

Step-by-step explanation:

The square root of 49/10,000 is 0.0007.

Hope this helps

please mark as brainlist

Answer:

the answer is the top right option

Step-by-step explanation: