a ship is 50 miles from a lighthouse. the bearing of the lighthouse from the ship is n 30 w. the ship travels due east and calculates the bearing to the lighthouse n 40 w. how far is the ship from the lighthouse after traveling due east?

Answer:

Neither

Step-by-step explanation:

Both equations are x=10

125 = 5^3

5 x 5 x 5

5 x 5 = 25 x 5 = 125

25, 50, 75, 100, 125

Not sure if this is what you meant.

Answer:

Commitment Adherence Percentage = 81.\(\overline{81}\)%

Step-by-step explanation:

The time period Amy scheduled herself, t = 8 a.m. - 1 p.m. from Sunday through Wednesday

The period she released her interval = 11 a. m. - 1 p.m.

Commitment Adherence Percentage = Service Minutes/(Posted Minutes + Released Lockdown Minutes) × 100

Posted minutes = 5 hours/day × 60 minutes ×  4 days = 1200 minutes

Serviced minute = 5 hours/day × 60 minutes ×  3 days + 3 hours × 60 minutes/hour = 1,080 minutes

Released minutes = 2 hours × 60 minutes/hour = 120 minutes

Commitment Adherence Percentage = (1,080/(1,200 + 120)) × 100 = 81.\(\overline{81}\)%

False. the denominator in the formula for calculating the return on investment includes operating and nonoperating assets.

The denominator in the formula for calculating the return on investment (ROI) typically includes only operating assets, not non-operating assets. Operating assets are those that are necessary to generate revenue and include items such as inventory, equipment, and property. Non-operating assets, on the other hand, are not directly related to revenue generation and include items such as investments, patents, and trademarks. In order to calculate ROI, the numerator is the profit or gain from the investment, while the denominator is typically the total amount of operating assets used to generate that profit. By dividing the profit by the investment, ROI provides a measure of how much profit was generated relative to the amount of resources invested.

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A comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate

A rate is known as the quantity measured with respect to another measured quantity. It refers to the comparison of a part to a whole.

It is also the measure of a part with respect to a whole or a proportion.

Therefore, a comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate

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The first positive root of the function f(x) = x² - 3 is located between x = 1 and x = 2.

The Intermediate Value Theorem states that if a function is continuous on a closed interval [a, b] and takes on values f(a) and f(b) with opposite signs, then there exists at least one root (zero) of the function between a and b.

In this case, we have f(x) = x² - 3. To find the first positive root of the function, we need to look for a positive value of x where f(x) = 0.

We can start by evaluating f(0) and f(2), which are the values of the function at the endpoints of the interval [0, 2]:

f(0) = 0² - 3 = -3

f(2) = 2² - 3 = 1

Since f(0) is negative and f(2) is positive, by the Intermediate Value Theorem, there must be at least one root of the function between x = 0 and x = 2.

To further narrow down the location of the root, we can evaluate f(1), which is the midpoint of the interval [0, 2]:

f(1) = 1² - 3 = -2

Since f(1) is negative, we know that the root is between x = 1 and x = 2.

To summarize, the first positive root of the function f(x) = x² - 3 is located between x = 1 and x = 2.

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Answer:

the answer is 8 edge 2020

Step-by-step explanation:

can i get brainlist to

Answer: Participants were lead to respond in a specific way.

Step-by-step explanation: Bias is an inherent misjudgment about something. Often, this can mean that the wording of the question leads the participants to respond in a specific way.

The statement "a statistical study is biased" means (D) Participants were led to respond in a specific way.

An event is said to be biased or not fair if the object or source of data is tampered with consciously to control the result or probability of different events. For example, if we make a coin in a way that if we flipped that coin we always get head to make the probability to get tail 0, then the coin is a biased coin and a stud,y using that is a biased study. So in given choices,

(A) Errors in data are mistakes made in the unconscious mind. It cannot be the meaning or cause of the biased event.

(B) If participants were only given three choices then they can make different choices using those three so it is partially biased not fully biased.

(C) Not enough people were surveyed cannot be meaning or reason for biased data as the number of experimental data is mentioned in the experiment. So experiment can be done with any size of the sample depending on which the result will be different but not biased.

(D) If participants lead to respond in a specific way then it is a conscious try to control the statistical data. So it is the meaning of the biased statistical study. Hence the correct option is (D).

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Since the sales representative calls on four hospitals in westchester county, the numbers of ways can he organize his calls is option A: 24  possible ways.

Throughout every stage of the sales process, a sales representative deals directly with customers. They must determine a customer's needs, make a compelling case for pertinent items or services, and guarantee a positive overall experience.

Note that:

For the first call he makes, he has 4 choices.

For the first call he makes, he has  3 choices.

For the first call he makes, he has choices.

For the first call he makes, he has choice.

Solution:

4 x 3 x 2 x 1 = 24 possible combinations.

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See options below

A sales representative calls on four hospitals in Westchester County. It is immaterial what order he calls on them. How many ways can he organize his calls?

24

7

120  

37

When working with Histograms, choose from 5 to 20 bins. The greater the data collection, the more probable it is that you will require a high number of bins. For example, a collection of 12 data points may deserve 5 bins, whereas a set of 1000 numbers will most likely benefit from 20 bins. The exact number of bins is typically a matter of personal preference.

A histogram displays numerical data by arranging it into equal-width "bins." Each bin is represented by a bar, the height of which corresponds to the number of data points in that bin. Bins are sometimes known as "intervals," "classes," or "buckets."

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After 15 more years of contributions of $4,000 at the end of each quarter, the retirement account will be worth approximately $760,514.47.

To calculate this, we need to use the formula for the future value of a lump sum. A lump sum is a one-time payment made at the beginning or end of a specific period. In this case, we're looking at the future value of the retirement account after 15 more years of contributions.

Using the given information, we can plug in the values and solve for FV:

PV = $150,000

Pmt = $4,000

r = 10%

n = 4 (since interest is compounded quarterly)

t = 15 years

First, we need to calculate the future value of the current investment of $150,000:

FV1 = $150,000 x (1 + 0.1/4)⁴ ˣ ¹⁵ = $548,534.24

Then, we can calculate the future value of the quarterly contributions of $4,000 over 15 years:

FV2 = $4,000 x [(1 + 0.1/4)⁶⁰ - 1] / (0.1/4) = $211,980.23

Finally, we can add FV1 and FV2 to get the total future value of the retirement account after 15 more years:

Total FV = FV1 + FV2 = $548,534.24 + $211,980.23 = $760,514.47

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By using structured references, the formulas will automatically refer to the data within the column of the Excel Table, even if the table expands or shrinks when you add or remove data.

To convert the data into an Excel Table and perform the analysis using structured references, you can follow these steps:

Select the entire data range, including the headers and the values.

In the Excel menu, go to the "Insert" tab and click on "Table." Choose a table style that you prefer.

Excel will automatically detect the range of your data. Make sure to check the box that says "My table has headers" if your data has headers.

Click "OK" to create the Excel Table.

Once you have created the Excel Table, you can perform the analysis and display the summary statistics using structured references. Here's how you can do it:

To calculate the Mean, use the formula =AVERAGE(Table1[LO]) and place it above the "LO" column header.

To calculate the Median, use the formula =MEDIAN(Table1[LO]) and place it above the "LO" column header.

To calculate the Minimum, use the formula =MIN(Table1[LO]) and place it above the "LO" column header.

To calculate the Maximum, use the formula =MAX(Table1[LO]) and place it above the "LO" column header.

To calculate the 75th percentile, use the formula =PERCENTILE.INC(Table1[LO],0.75) and place it above the "LO" column header.

To calculate the 25th percentile, use the formula =PERCENTILE.INC(Table1[LO],0.25) and place it above the "LO" column header.

To calculate the Interquartile Range, use the formula =QUARTILE.INC(Table1[LO],0.75) - QUARTILE.INC(Table1[LO],0.25) and place it above the "LO" column header.

To calculate the Variance, use the formula =VAR(Table1[LO]) and place it above the "LO" column header.

To calculate the Standard Deviation, use the formula =STDEV(Table1[LO]) and place it above the "LO" column header.

Make sure to adjust the table name (Table1) and column reference (LO) in the formulas based on your actual table and column names.

By using structured references, the formulas will automatically refer to the data within the column of the Excel Table, even if the table expands or shrinks when you add or remove data.

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The solution to the system of linear inequalities (x, y) are (-1, 2)

A system of linear inequalities is just like a system of linear equations, except it is composed of inequalities instead of equations. Systems of linear inequalities are used to model scenarios with multiple constraints.

In the given problem, we can find the value of x and y as;

x + y > 1 ...eq(i)

-x + y ≤ 3 ...eq(ii)

Solving both inequalities;

The solution is;

1 - x < y ≤ 3 + x

We can easily plot this on a graph and the point of intersection will be our solution;

From the graph attached below, the solution to this inequality (x , y) are (-1, 2)

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Answer:

2:3

3:2

Step-by-step explanation:

Answer:

3

HCF of 12, 45 and 75 by Prime Factorization

As visible, 12, 45 and 75 have only one common prime factor i.e. 3. Hence, the HCF of 12, 45 and 75 is 3.

Step-by-step explanation:

A sandwich store charges a $10 delivery fee and $4.50 for each sandwich.

a) If an office order 6 sandwiches, the total cost is:

10 + 6(4.50) = 10 + 27 = 37

Then, the cost of the order is $37

b) The total cost of x sandwich is given by the following algebraic equation:

f(x) = 10 + 4.50x

because 10 from the delivery fee and x sandwiches cost 4.50x dollars, f(x) is the total cost.

c) The relationship between the number of sandwiches and the cost of the order is proportional, because if the numbers of sandwiches increases, the cost increases too. It can be appreciated in the function f(x), which is a linear function with a unit rate of 4.50.

The order will be IV, III, I, and II.

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Given

 I.  x + 2xyz

II.  9x³y²

III.  18x² + 5ab - 6y

IV. 4\(\rm x^{4}\) + 3x² - x - 4

The polynomial expressions from least to greatest are based on their degree.

4\(\rm x^{4}\) + 3x² - x - 4 is a biquadratic ploynolmial.

18x² + 5ab - 6y is a cubic polynomial.

x + 2xyz is a quadratic polynomial.

9x³y² is a monomial polynomial.

So the order will be IV, III, I, and II.

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Answer: III, I, IV, II

Step-by-step explanation:

i just took the test

Altogether, the whole trip took a total time of 2 1/2 hrs long.

Speed is the ratio between the distance traveled and the total amount of time spent.

v = d / t

where v = speed

d = distance

t = time

If Angela drove a total of 212 km for the three parts of the trip, then the sum of the distances is equal to 212.

d₁ + d₂ + d₃ = 212 km

v₁t₁ + d₂ + v₃t₃ = 212

42km/h(20mins/60mins/h) + d₂ + 55km/h(12mins/60mins/h) = 212

d₂ = 187 km

If her speed for most of the trip was 95 km/h, then the time it took her to travel the distance of 187 km is

v₂ = d₂ / t₂

95 km/h = 187 km / t₂

t₂ = 187/95 h ≅ 118 min

Hence, the total time the trip took is approximately 2 1/2 hrs.

t₁ + t₂ + t₃ = 20 + 118 + 12 = 150 mins = 2 1/2 hrs

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Answer:

Step-by-step explanation:

v=d/t (average velocity equals distance divided by time)

26.2mi/5.8h=4.5mi/h

So Mackenzie runs approximately 4.5 miles in an hour (rounded to nearest tenth of a mile)

Y = -0.0063e0.16x + 99.97 is the exponential regression equation for the data, where x is the time in minutes and y is the temperature of the soup.

Calculate the x and y means in step one.

X's average: (0 + 10) / 2 = 5.

(95 + 88.5) / 2 = 91.75 is the mean of y.

Calculate the variance and covariance in step two.

(-5 6.5) + (5 -2.5) = 32.5 is the covariance.

X's variation is (5 0).

2 + (10 − 0)2 = 125

Calculate the regression coefficients in step three.

x = -32.5 / 125 = -0.26 where a = Covariance / Variance of x

Mean of x = 91.75 (-0.26 5) = 99.97 where b = Mean of y a Mean of x

Step 4: Compose the equation for exponential regression.

y = -0.0063e^0.16x + 99.97

Y = -0.0063e0.16x + 99.97 is the exponential regression equation for the data, where x is the time in minutes and y is the temperature of the soup. We must first determine the means of x and y before we can solve the problem. By summing the first and last values of x and dividing by 2, the mean of x is 5 and the mean of y is 91.75. (calculated by adding the first and last y values and then dividing by 2).

Calculating the covariance and variance comes next. The difference between each x and the mean of x is multiplied with the difference between each y and the mean of y to determine the covariance. By squaring the difference between each x and the mean of x, the variance of x is determined. The regression coefficients a and b can be determined when the covariance and variance have been computed.

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The value of the probability \(P(C^c ~and ~T^c)\) is 0.45 and option C is the correct answer.

We have,

Number of people = 520

\(C^c\) = event that people do not like country music

\(T^c\) = event that people are not teens

Now,

From the table,

Add all the people who are not teen and does not like country music.

= 84 + 54 + 36 + 62

= 236

Now,

\(P(C^c ~and ~T^c)\)

= 236/520

= 0.45

Thus,

The value of the probability \(P(C^c ~and ~T^c)\) is 0.45 and option C is the correct answer.

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Answer:

0+x=50

Step-by-step explanation:

you started with no money which is 0 and your mom gives you $50 which is represented by x, this could be shown as 0+x and now that you have 50 bucks it would be 0+x=50

Answer:

0+×=50

Step-by-step explanation:

if your mom gives you 50 and you started with 0 then x represents 50.

Answer:

The cost of one T-shirt is £4

The cost of a hat is £1

Step-by-step explanation:

Answer:

A. 1,112

Step-by-step explanation:

The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Option A is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's start by finding the profit per chair:

So,

Profit per chair = Selling price - Production cost

= $55.75 - $16.91

= $38.84

Next, we need to determine how many chairs the manufacturer needs to sell to make a profit of $24,850:

Profit = Profit per chair x Number of chairs sold - Overhead costs

$24,850 = $38.84x - $18,340

$43,190 = $38.84x

x = 1,112.49

Rounding to the nearest whole number, the manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Therefore,

The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

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The dimensions of Sharon's mural meet the given requirements

The given parameters are:

The dimensions of Sharon's mural

Height = 6 1/4 feet

Width = 12 7/8 feet

The required dimensions of the mural

Height = At least 6.2 feet

Width = At least 12.8 feet

Start by representing the dimensions of Sharon's mural in decimals

Height = 6.25 feet

Width = 12.875 feet

By comparing the dimensions of Sharon's mural and the required dimensions of the mural, we have:

6.25 feet is at least 6.2 feet

12.875 feet is at least 12.8 feet

Hence, the dimensions of Sharon's mural meet the given requirements

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Nathan needs to save $124 - $55 = $69 to buy a skateboard.

Answer:

124-55=$69 so Nathan needs to save $69 more to buy the skateboard

Answer:

\(\displaystyle \frac{dy}{dx} = -2x \tan (x^2)\)

General Formulas and Concepts:

Calculus

Differentiation

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                 \(\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)\)

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle y = \ln (\cos x^2)\)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation