1) Marlene's ratio of phone calls to text messages is 3to 5. If she makes 27 phone calls, how many textsdoes she send?

The central angles for the categories with the numbers 40, 100, 50, and 50 are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.

To calculate the central angles for each category based on the given numbers 40, 100, 50, and 50, we need to find the proportion of each value to the total sum of all the values. Let's proceed with the following steps:

Step 1: Calculate the total sum of the given numbers: 40 + 100 + 50 + 50 = 240.

Step 2: Find the proportion of each value by dividing it by the total sum and multiplying it by 360 (since a full circle has 360 degrees).

Central angle for the first category: (40/240) * 360 = 60 degrees.

Central angle for the second category: (100/240) * 360 = 150 degrees.

Central angle for the third category: (50/240) * 360 = 75 degrees.

Central angle for the fourth category: (50/240) * 360 = 75 degrees.

The central angles for each category based on the given numbers are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.

These central angles represent the relative proportions of each category's spending in relation to the total spending. They can be used to create a pie chart or visualize the distribution of expenses in a circular graph.

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Note the search engine cannot find the complete question

Answer:

14.6 % increase

Step-by-step explanation:

44 divided by 30 = 1.46

To decimal = 14.6 percent

I think

The equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is: Interest = $750 * 0.16.

To write the equation for calculating the yearly interest earned on an investment, we can use the formula:

Interest = Principal * Rate

Where:

- Principal is the initial investment amount.

- Rate is the interest rate expressed as a decimal.

In this case, you invested $750, and the annual interest rate is 16%. To use the decimal form of the interest rate, we divide it by 100:

Rate = 16% = 16/100 = 0.16

Substituting the values into the equation:

Interest = $750 * 0.16

To calculate the interest, we multiply the principal by the interest rate:

Interest = $750 * 0.16 = $120

Therefore, the equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is:

Interest = $750 * 0.16

Now, let's complete a table to show the growth of your investment over multiple years. We'll assume the interest is compounded annually.

Year | Initial Investment | Interest Earned | Total Value

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

 1        $750                 $120              $870

 2        $870                 $139.20          $1009.20

 3        $1009.20            $161.47          $1170.67

 4        $1170.67            $187.31          $1357.98

 5        $1357.98            $217.28          $1575.26

In each year, we calculate the interest earned by multiplying the initial investment by the interest rate (16% or 0.16). The total value is obtained by adding the initial investment and the interest earned. This process is repeated for each subsequent year.

The table shows the growth of your investment over five years, demonstrating how the interest compounds and increases the total value each year.

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The total number of workers in the company is 8,700.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

In a​ company, ​85% of the workers are men.

435 people work for the company who​ aren't men.

We need to find number of workers working in the company.

The percentage of men workers = 85%

The number of non-men workers = 435

The percentage of non-men workers = 5% (1 - 85%)

Men workers = 85% = 2,375

Non-men workers = 5% = 435

If 5% of the workers are 435

the total number of workers, 100% = 8,700 (435/5% x 100%).

Total = 8,700

Thus, given the percentage of men workers as 85%, the total number of workers in the company is 8,700.

Hence the total number of workers in the company is 8,700.

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Answer:

First, you need to find the number 2/5 on the number line.

Now, you want to find (3/4) times (2/5)

Then the distance between 0 and the point you found earlier needs to be divided into four equal parts (because the denominator is 4)

sAnd because we have the factor (3/4), with a numerator equal to 3, we move from the origin 3 of these parts to the right, the point at where you arrived is the point (3/4)*(2/5)

Another way, which should give you the exact same point, is:

First locate the point (3/4) on the number line.

Now, you want to find (3/4) times (2/5)

The distance between zero and the denominator needs to be divided into 5 parts (because the denominator is 5)

Because the numerator is 2, you need to move, from the origin, two of these parts to the right.

The point where you end is the product (3/4)*(2/5)

Mr. Black was driving at 60 mph to his friend's house.

Let's call Mr. Black's speed to his friend's house "x".

The trip back took x - 20 mph, since he was driving 20 mph slower.

The trip back took 1 hour longer, so it took 2 + 1 = 3 hours.

Using the formula for distance = rate x time, we can set up the equation:

x * 2 = (x - 20) * 3

Expanding and simplifying, we get:

2x = 3x - 60

Subtracting 2x from both sides:

0 = x - 60

Adding 60 to both sides:

x = 60 mph

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Answer:

2 y + x = 5 , 5 x − y = 3

Step-by-step explanation:

suppose x represents the smaller number and y represent the larger number.

Then

• The statement: “Twice a number added to a smaller number is 5”

means  2 y + x = 5

On the other hand,

•• The statement: “The difference of 5 times the smaller number and the larger number is 3”

means  5 x − y = 3

Answer:

b

Step-by-step explanation:

i took the test pls mark me the brainliast

Answer:

75 Kilometers

Step-by-step explanation:

We have been given that the distance between two towns is 120 km.

We are also told that there are approximately 8 km in 5 miles. Let us find number of miles per km by dividing 5 by 8.

\text{Number of miles in 1 km}=\frac{5\text{ miles}}{\text{8 Km}}

\text{Number of miles in 1 km}=0.625\frac{\text{ miles}}{\text{ Km}}

Therefore, there are 0.625 miles in 1 km.

To convert our given distance into miles we will multiply our given distance by number of miles in 1 km.

\text{Number of miles in 120 km}=120\text{ km}\times \frac{0.625\text{ miles}}{\text{ km}}

\text{Number of miles in 120 km}=120\times 0.625\text{ miles}

\text{Number of miles in 120 km}=75\text{ miles}

Therefore, the distance between two towns is 75 miles.

Answer:

The answer is 75, I had this question a few days ago and I got it right

Answer:75

The value of the sum of 5 and the square of a number varies depending on the value of n. When n = 1, the result of the expression is 6, when n = 2, the result is 9, and when n = 3, the result is 14. The same applies when n is negative.

The sum of 5 and the square of a number is an expression that can be represented as (n² + 5), where n represents the number whose square is added to 5. The result of the expression varies depending on the value of n. In this answer, we will examine how to find the sum of 5 and the square of a number using various values of n.
If n = 1, then the square of n is equal to 1, and the sum of 5 and the square of n is equal to 6. Therefore, if n = 1, the result of the expression is 6.
If n = 2, then the square of n is equal to 4, and the sum of 5 and the square of n is equal to 9. Therefore, if n = 2, the result of the expression is 9.
If n = 3, then the square of n is equal to 9, and the sum of 5 and the square of n is equal to 14. Therefore, if n = 3, the result of the expression is 14.
If n = -1, then the square of n is equal to 1, and the sum of 5 and the square of n is equal to 6. Therefore, if n = -1, the result of the expression is 6.
If n = -2, then the square of n is equal to 4, and the sum of 5 and the square of n is equal to 9. Therefore, if n = -2, the result of the expression is 9.
If n = -3, then the square of n is equal to 9, and the sum of 5 and the square of n is equal to 14. Therefore, if n = -3, the result of the expression is 14.
In conclusion, the value of the sum of 5 and the square of a number varies depending on the value of n. When n = 1, the result of the expression is 6, when n = 2, the result is 9, and when n = 3, the result is 14. The same applies when n is negative.

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Answer:

+1 is the answer

Step-by-step explanation:

-19-(-10)

-19+10

+1

The discounted price of the ticket is $198.

The total cost of the ticket with the discount and service fee is $214.33.

A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."

Given:

The cost of a ticket on an airline is $220.

And Jameson receives a discount of 10%.

To find the discounted price:

The discounted price = 220 - 220 x 10 / 100

The discounted price = $198.

And the service charge is 8.25%.

So, the amount of service charge,

= 198 x 8.25/100

= 16.33

The total cost of a ticket = $198 + $16.33 = $214.33

Therefore, the cost is $214.33.

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The factored form of equation x² - 6x - 16 is,

⇒ (x - 8) (x + 2)

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The equation is,

⇒ x² - 6x - 16

Now, We can simplify as;

⇒ x² - 6x - 16

⇒ x² - 8x + 2x - 16

⇒ x (x - 8) + 2(x - 8)

⇒ (x - 8) (x + 2)

⇒ (x - 8) (x + 2)

Thus, The factored form of equation x² - 6x - 16 is,

⇒ (x - 8) (x + 2)

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A la sala de cine ingresaron 180 niños y 165 adultos.

De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:

3 · x + 5 · (345 - x) = 1365

Donde x es el número de niños que asistieron a la sala de cine.

Ahora despejamos la variable correspondiente mediante propiedades algebraicas:

3 · x + 1725 - 5 · x = 1365

1725 - 2 · x = 1365

2 · x = 1725 - 1365

2 · x = 360

x = 180

Ahora, el número de adultos es:

y = 345 - 180

y = 165

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Answer:

See below.

Step-by-step explanation:

the one on the left area is 104

the one on the right area is 19.5

we can use a statistical software package or calculator to find the t-value directly. In R, we can use the qt function: qt(0.99, 26)

What is sample size ?

In statistics, sample size refers to the number of observations or measurements included in a sample. A sample is a subset of the population, which is the entire group of individuals, objects, or events that we are interested in studying.

The sample size is an important aspect of any statistical study, as it directly affects the accuracy and precision of the estimates and inferences made from the data. A larger sample size generally results in more reliable estimates and a narrower margin of error, as it reduces the impact of random variability or chance fluctuations in the data.

To find the positive t-value for a 98% confidence interval with a sample size of 27, we need to use a t-distribution table or a statistical software package.

Using a t-distribution table with 26 degrees of freedom (sample size minus 1), we can look for the value that corresponds to a 0.99 area under the curve (since we are looking for the positive t-value).

The closest value to 0.99 in the table is 2.485, which corresponds to a confidence interval of 98%. Therefore, the positive t-value for a 98% confidence interval with a sample size of 27 is approximately 2.485.

Alternatively, we can use a statistical software package or calculator to find the t-value directly. In R, we can use the qt function:

qt(0.99, 26)

This gives a t-value of approximately 2.485 as well.

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Your complete question is :-Find the positive t-value in the student t-distribution for a 98% confidence interval if the sample size is 27.

Answer: the answer is (3,-2)

Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)

therefore

(-3,2) becomes (3,-2)

I'm pretty sure

Answer:

Knowing that the slope formula is y2-y1/x2-x1:

6-4         10

------   = ------- = -5

-6-(-4)      -2

Step-by-step explanation:

Could you check my map question please I need help :P

The overhead allocation to Department C, based on the total overhead expenses is $40,000

The amount of overhead that is allocated to the departments, depends on the individual floor space of the department, and the total floor space.

The formula for the allocation of overhead to Department C is:

= Floor space of Department C / Total floor space of all departments x Total overhead expenses

= 7, 000 / ( 8,000 + 20, 000 + 7, 000) x 200, 000

= 7, 000 / 35, 000 x 200,000

= $40,000

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Answer:

See attached

Step-by-step explanation:

The graph is attached

Sampling variation will have more impact on confidence interval but it is not accounted for by the margin of error.

What is Sampling variation?

The term "sampling variance" describes how much a sample estimate (a statistic) is likely to fluctuate from sample to sample due to the unique nature of each sample.

Sample Sizes and Variability are the factors which lead to sampling variation. As and when the sample size is changed i.e. either increased or decreased, the variability of samples fluctuates.

Since, Sam runs a large chain of car repair shops, this means he has large number of employees.

But his sample size is only of 10 employees whom he asks about their billable hours from which he constructs a 95% confidence interval for the true mean number of billable hours for all employees in the company.

Since, sampling variation is greatly affected by the sample size and variability, therefore it will have more impact on confidence interval.

Hence, sampling variation will have more impact on confidence interval but it is not accounted for by the margin of error.

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Since the options are missing in the question, here are the options from which answer is to be chosen

Answer:

We can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the final amount

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the time period in years

In this case, we have:

P = £1430

r = 0.005 (0.5% per month)

n = 12 (compounded monthly)

t = 9/12 = 0.75 (9 months is three-quarters of a year)

So we can plug in these values to find the final amount:

A = £1430(1 + 0.005/12)^(12*0.75)

A ≈ £1481.18

Therefore, the amount of money in the account after 9 months will be approximately £1481.18.

Answer:

Step-by-step explanation:

For the product to be zero one of the picks needs to be zero. It is easier to find the probability of NOT selecting a zero and subtract that from one.

P(0)=1-P(!0)

P(0)=1-(5/6)(4/5)

P(0)=1-4/6

P(0)=(6-4)/6

P(0)=1/3

Answer: 46080

Step-by-step explanation:

there’s 12 in a dozen.
so to find 32 dozens, you do 12 times 32 which gives you 384 donuts. There are 24 hours in a day so do 384 times 24 to get 9216. So they sell 9216 donuts a day. Multiple that times 5 and 46080 is the answer.

The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

To calculate the perimeter and area of the square, we can use the formulas:

Perimeter = 4 * side length

Area = side length * side length

Substituting the given side length of 4√5mm into the formulas, we have:

Perimeter = 4 * 4√5mm = 16√5mm

Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²

Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².

Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.

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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

I took the test on plato.

Answer:

c....................

Answer:

1

Step-by-step explanation:

I dont know how to explain but thats what I think

Using proportions, it is found that the missing value and the probability are given as follows:

A. The missing value is of 0.45.

B. 26 of the shoppers are men who prefer mineral water.

A proportion is a fraction of a total amount.

Item a:

We can use two equations to find the missing value:

0.13 + x = 0.58 -> x = 0.45.

0.14 + x = 0.59 -> x = 0.45.

Hence the missing value is of 0.45.

Item b:

0.13 out of the 200 shoppers are men who prefer mineral water, hence, applying the proportion:

0.13 x 200 = 26.

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Answer:0.25

Step-by-step explanation:

The least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

The equation in this problem is given as follows:

1/x + 2/(x - 3) = 5.

The denominators of each expression are given as follows:

x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

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