Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by 3 L(x,y)= x2 +y2 - 2x - 2y - 2xy +77 2 where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semiskilled person. Find values of x and y that minimize the labor cost. Find the minimum labor cost. Labor cost will be minimized when x= and y= The minimum labor cost is $ (Round to the nearest cent)

This sample would be considered A. Cluster sample. In a cluster sample, the researcher divides the population into groups or clusters, and then randomly selects some of these clusters to include in the sample.

In this case, the researcher is selecting nine counties as the clusters, and surveying all shoulder surgery patients within those counties. This is different from a stratified sample, in which the population is divided into subgroups or strata based on certain characteristics, and a representative sample is selected from each stratum. It is also different from a convenience sample, in which the researcher simply selects the individuals who are easiest to reach or who happen to be available at the time of the study. And it is different from a simple random sample, in which every member of the population has an equal chance of being selected for the sample.

The missing part in the question is shown below.

A medical researcher surveys all shoulder surgery patients

in each of 9 randomly selected counties in North Carolina.

Which type of sample does this represent?

A. Cluster sample.

B. Stratified sample.

C. Convenience sample.

D. Simple random sample.

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Answer:

good to know!

Step-by-step explanation:

WOWOWOWOWOWOWOOWOWW

Joel has 3/8 gallon of paint left after painting the ceiling and the wall.

How to calculate this?

To answer the question, we have to follow the below steps:

Step 1: Joel used 1/4 gallon of paint to paint a ceiling.

Step 2: Joel used 3/8 gallon of paint to paint a wall.

Step 3: We have to find out how much paint is left with Joel.

Step 4: Let's find the paint used by Joel in total to paint a ceiling and a wall.

Pint used to paint ceiling = 1/4

Pint used to paint wall = 3/8

Total paint used = 1/4 + 3/8

Common denominator = 8Paint used = 2/8 + 3/8 = 5/8 of a gallon

Step 5: Let's find out the remaining paint with Joel.

Pint of paint = 1

Pint used to paint the ceiling and wall = 5/8

Remaining paint = 1 - 5/8= 3/8

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Answer:

200 x 50 = 10,000 +   365 = 10,365

Step-by-step explanation:

Just 200 times 50 then there is 365 days in 1 year so that would all add up to 10,365

Sorry if It didnt help , Ik this is prolly a dum ahh response , But there ya go !!

Answer:

f= -4x-7/x

Step-by-step explanation:

Answer:

B=28

Step-by-step explanation:

Answer:

There are 13 blue pens in a package.

Explanation:

total blue pens: 45 - 6 = 39 blue pens in 3 packages

3 package → 39 blue pens

1 package → (39/3) blue pens

1 package → 13 blue pens

Answer:

13 blue pens

Step-by-step explanation:

6 red pens + 3 packages of blue pens = 45

3 packages of blue pens = 39

\(\hookrightarrow\) Divide by 3

1 package of blue pens = 13

-Chetan K

Answer:

612 I think well how this helps

The journey along Line segment X Y is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment A B, hence Option-A is the correct answer.

Given that,

He makes paths that follow Line segments A and B, X and Y, and Z and Y through the garden.

We have to find which accurately compares the pathways' lengths.

We know that,

The length of the third side in a triangle is proportional to the angle Ф  if the lengths of the two sides that make up the angle Ф are fixed.

XY > YZ because XY's opposing angle (79°) is greater than YZ's (65°).

As before, YZ > AB because the opposing angle of YZ (65°) is greater than that of AB (36°).

Since both sides of the angle are the same length (8 feet),

As a result, assertion A. is accurate. (Answer)

Therefore, The journey along Line segment X Y is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment A B, hence Option-A is the correct answer.

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Answer:

It's A

Step-by-step explanation:

I got 100 on the quiz

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Answer:

My answer would most likely be x = -4.

Answer:

x = -4

Step-by-step explanation:

Answer:

Yes for the first, no for the second

Answer:

7x + 13

Step-by-step explanation:

because the correct answer is 7x+13

Answer:

5+9=9+5

Step-by-step explanation:

Because ethier way it will be 14, but idl dont take my word yet...

Answer:

The answer is C

Step-by-step explanation:

21+21=42

Answer:

true

Step-by-step explanation:

.............................

Answer:

\(\frac{2}{11}\)

Step-by-step explanation:

\(\frac{6}{11} * \frac{1}{3}\)

since 6 and 3 are opposite of each other in this multiplication problem, you can divide them by 3 since they are both divisible by 3

\(\frac{2}{11} * \frac{1}{1} = \frac{2}{11}\)

Answer:

14°

Step-by-step explanation:

4x + 32 + 64 = 180 => x = 14 (°)

The best unit for measuring distance of Micah apartment from school is kilometers.

Here,

It takes 20 minutes to drive from Micah's apartment to his school.

We have to find the best unit to measuring the distance between Micah's apartment from school.

What is Units in distance?

The most common units of distance are millimeters, centimeters, meters, and kilometers.

Now,

It drive and takes 20 minutes to reach Micha's school from his apartment.

That's mean distance between Micha's school from his apartment is too long.

Hence, we measure the distance from Micah's apartment to his school

in Kilometers.

Because, Meters, centimeter, millimeter all are smaller than kilometer.

So,

The best unit for measuring distance of Micah lives from school is kilometers.

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The explicit formula for the population growth is P(t) = 9 * (1 + 0.08)^t, where P(t) represents the population at time t, P0 is the initial population of 9, r is the growth rate of 8% or 0.08, and t is the time in years. Using this formula, we can calculate the population after 9 years which is approximately 16.03

To find the explicit formula for the population growth, we use the exponential growth model formula P(t) = P0 * (1 + r)^t. In this case, P0 is given as 9, and the growth rate r is 8%, or 0.08 when expressed as a decimal. Plugging these values into the formula, we get P(t) = 9 * (1 + 0.08)^t.

To evaluate the population after 9 years, we substitute t = 9 into the formula and calculate: P(9) = 9 * (1 + 0.08)^9. Using a calculator or performing the calculation manually, the population after 9 years is approximately 16.03 (rounded to two decimal places).

Therefore, the population after 9 years, based on the exponential growth model with an initial population of 9 and a growth rate of 8%, is approximately 16.03

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There are \(72^{16\) valid passwords that can be created with the given constraints.

To calculate the total number of valid passwords, we need to consider the number of options for each character in the password.

1. Digits (0-9): There are 10 digits.

2. Uppercase letters (A-Z): There are 26 uppercase letters.

3. Lowercase letters (a-z): There are 26 lowercase letters.

4. Special characters: There are 10 special characters.

In total, there are 10 + 26 + 26 + 10 = 72 possible characters for each position in the password.

Since the password must consist of 16 characters, we have 72 choices for each character. We can calculate the total

number of valid passwords using the formula

Total passwords = (number of choices per character)^(number of characters)

Total passwords = \(72^{16\)

So, there are\(72^{16\) valid passwords that can be created with the given constraints.

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The first five terms of the given arithmetic sequence is; 36, 30, 24, 18, 12

The general formula for the nth term of an arithmetic sequence is;

aₙ = a + (n - 1)d

where;

a is first term

n is number of term

d is common difference

We are given;

First term; a₁ = 36

Formula for nth term of the sequence;

aₙ = aₙ₋₁ - 6

Thus;

Second term; a₂ = a₂₋₁ - 6

a₂ = a₁ - 6

a₂ = 36 - 6

a₂ = 30

Similarly;

Third term; a₃ = 30 - 6

a₃ = 24

Fourth term; a₄ = 24 - 6

a₄ = 18

Fifth term; a₅ = 18 - 6

a₅ = 12

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Answer:

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

Total number of marbles:

Probability of a first red marble:

Probability of a second red marble:

Probability of a third red marble:

Probability of drawing three red marbles is:

The missing angle measures 139 degrees.

what is triangle?

A triangle is a polygon that has three sides, three angles, and three vertices. It is a two-dimensional figure that is formed by connecting three non-collinear points. The three sides of a triangle can be of different lengths or the same length, and the angles can also vary in size. The sum of the three angles of a triangle always adds up to 180 degrees. Triangles can be classified based on their side lengths and angle measurements.

In a right triangle, the sum of the two acute angles is always equal to 90 degrees. Therefore, we can find the missing angle by subtracting the two given angles from 90 degrees.

Let's call the missing angle "x". Then we have:

x + 21 + 20 = 180 (the sum of angles in any triangle is 180 degrees)

x = 180 - 21 - 20

x = 139 degrees

Therefore, the missing angle measures 139 degrees.

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If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).

The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.

It can be determined by the following method:

1: Plot the given stations on a coordinate plane. Stations are:

Station 1: (74, 41)

Station 2: (0, 43)

2: Calculate the distance of the GPS receiver from each station using the distance formula.

Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by

d = √[(x2 - x1)² + (y2 - y1)²]

Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km

Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km

3: Plot the given distances as the circle on the coordinate plane.

Circle 1: Centred at (74, 41) with a radius of 44 km.

Circle 2: Centred at (0, 43) with a radius of 38 km.

4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).

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Step-by-step explanation:

Since the initial fee is fixed, we can assume it is a constant and the succeeding mile fee is the variable as it changes for every mile covered.

Let x = distance (mile)

let y = total charge (dollars)

Yellowcab company equation for cost calculation;  3.50 + 2.5x = y

laxicab company equation for cost calculation;  4.54+2.3x = z

the two companies charge the same amount when y = z

; 3.50 + 2.5x = 4.54+2.3x

x = 5.2 miles

COST CALCULATION

;3.50 + 2.5x = ?

if x = 5.2;

; 3.50 + 2.5(5.2) =$16.50

OR

; 4.54+2.3x = ?

; 4.54 + 2.3(5.2) = $16.50

Okay, here we have this:

Considering the provided information, we obtain the following expression:

Expected payoff=800/100

Expected payoff=4/5

Expected payoff=80%

Expected payoff=$0.80.

Finally we obtain that the expected payoff is $0.80.

The length of the hypotenuse of a 45-45-90 triangle is √2x units.

To find the hypotenuse of a 45-45-90 triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse).

Let's denote the length of each leg of the triangle as "x". Since the triangle is isosceles, both legs are of equal length. Therefore, we can write:

Leg 1 = Leg 2 = x

To find the length of the hypotenuse (which we'll call "h"), we can use the Pythagorean theorem as follows:

x² + x² = h²

Simplifying this equation, we get:

2x² = h²

To solve for h, we need to take the square root of both sides of the equation:

√(2x²) = √(h²)

√2 * x = h

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Answer:

Step-by-step explanation:

A surface analysis chart is a type of weather map that displays information about the current pressure and wind patterns over a particular region. The chart provides a snapshot of the weather conditions at a specific point in time and helps meteorologists to identify and track the location, movement, and development of high- and low-pressure systems, fronts, and other weather features.

The surface analysis chart typically shows a map of the Earth's surface with various meteorological symbols and information, including isobars (lines of equal pressure), fronts (boundaries between different air masses), and wind direction and speed. The chart may also include information about temperature, precipitation, and cloud cover.

Surface analysis charts are used in weather forecasting, air traffic control, and other applications where an understanding of current weather conditions is important. They provide important information for short-term weather forecasting, such as predicting the location of fronts and the development of thunderstorms, and for long-term weather planning, such as determining the most suitable routes for shipping or aviation.

Answer:

36 < p

Step-by-step explanation:

Product means multiplication, therefore,

9 × 4 = 36

The symbol of "less than" in mathematics is < , hence:

36 < p

The equation that can be used to find the cost, c, of the pizza is c/5 = $3.25.

An equation is a mathematical statement that shows that two expressions are equal. Equations use an equals sign (=) to show that the values of the expressions on either side of the sign are equal.

Equations can include variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the value of the variable that makes the equation true.

If they divide the cost of a meatball pizza evenly among 5 people and each person pays $3.25, then we can write the equation as

c/5 = $3.25

where c is the cost of the pizza

Plugging in the known value of p = $3.25, we get: c = 5($3.25) = $16.25.

So the cost of the meatball pizza at the Dancing Meatball is $16.25.

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