Hover-high helicopters manufactures radio-controlled toy helicopters. they have their quality control down to a point where only 1 in 100 built could be defective and returned for repair at a cost to the company of $50. at a profit margin of $10 per unit, what would their profit be per unit after selling 200 copters?

a. -$9.40 per unit
b. $0.60 per unit
c. -$0.60 per unit
d. $9.40 per unit
e. $10.00 per unit

Both of these approaches will generate a random number in the range of 1 through 6 using the random module in Python.

To generate a random number in the range of 1 through 6 using the random module in Python, you can use the `randrange()` function or the `choice()` function from the random module. Here are examples of both approaches:

Using `randrange()`:

import random

random_number = random.randrange(1, 7)

In this example, `random.randrange(1, 7)` generates a random integer from 1 up to, but not including, 7. The `random_number` variable will store the randomly generated number.

Using `choice()`:

import random

random_number = random.choice(range(1, 7))

In this example, `range(1, 7)` creates a sequence of numbers from 1 to 6, and `random.choice()` randomly selects one element from that sequence. The `random_number` variable will store the randomly chosen number.

Both of these approaches will generate a random number in the range of 1 through 6 using the random module in Python.

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Answer:

i think its 15 gallons of water if you do the math you can see it

Step-by-step explanation:

We need to see Hazel's work for simplifying an inequality and see if she had a mistake or not.

The answers are:

a) Step 4.

B) She did not change the direction of the inequality symbol.

a) Let's analyze each step:

She starts with:

3*(t + 1) - 4*t ≥ −5

Step 1:

3t +3−4t ≥ −5

Here what she does is distributing the first product, she goes from:

3*(t + 1) to 3*t + 3

Step 2:

−t+3≥−5

Here what she did is adding "3*t - 4*t = (3 - 4)*t = -t"

Step 3:

−t ≥ −8

Here she subtracts 3 in both sides.

Step 4:

t ≥ 8

Here is the mistake.

B)

Here what she does is multiplying by -1 in both sides, her mistake is that we multiply both sides by a negative number in an inequality, the direction of the inequality must change, so here is her error.

So what she actually should had is:

-t  ≥ -8

(-1)*(-t) ≤ (-1)*(-8)

t ≤ 8

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Work Shown:

x = speed on 1st half of the trip

distance = rate*time

90 = x*t

t = 90/x

She spent 90/x hours driving on the 1st half of the trip

1.5x = speed on the 2nd half of the trip

d = r*t

t = d/r

t = 90/(1.5x)

t = 60/x

She spent 60/x hours driving on the 2nd half of the trip

Overall, she spent 90/x+60/x hours driving the entire 180 mile trip.

Edit:

That expression simplifies to 150/x since 90+60 = 150

Social scientists gather data from samples instead of populations because c. populations are often too large to test.

Social scientists often cannot test an entire population due to its size, so they gather data from a smaller group or sample that is representative of the larger population. This allows them to make inferences about the larger population based on the data collected from the sample. The sample size must be large enough to accurately represent the population, but it is not necessarily larger or more complete than the population itself. Trustworthiness, meaning, and interest are subjective and do not necessarily determine why social scientists choose to gather data from samples.

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The average midterm exam grade for the entire class is 82.

The middle value in a set of numbers is the average, which is calculated by dividing the total of all the values by the number of values.

Here given that,

Math class contains 18 twelve graders.

Also contains 4 eleventh graders

Total number of students = 18 + 4 = 22

Total marks of students in the twelve grade = 18 x 83 = 1494

Total marks of students in the eleventh grade = 4 x 79 = 316

Total marks = 1494 + 316 = 1810

Therefore to find the average grade of midterm exam is :

1810 / 22 = 82.2

Therefore the average grade on the midterm exam for the entire class is 82.

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Answer:  so, option 1 and 3 are true

1. True: The left side  6  is equal to the right side  6 , which means that the given statement is always true.

2. False: The left side  39  does not equal to the right side  9 , which means that the given statement is false.

3. True: The left side  16  is equal to the right side  16 , which means that the given statement is always true.

4. False: The left side  21  does not equal to the right side  19 , which means that the given statement is false.

Step-by-step explanation:

Answer:

Part A: Non linear

Part B: Yes

Part C: The y-intercept is (0, 0), represent the starting height level of the golf ball

Part C: The solution are the points (0, 0) and (100, 0) which are the points at which the golf ball touches the ground

Step-by-step explanation:

Part A: The shape of the path of the increase in the height of the the golf ball as it moves in increasing horizontal distance from the starting point is hat of a parabola

Part B: The graph is a function because each value of the independent variable, distance (ft.) maps to exactly one value of the dependent variable, elevation (ft.)

Part C: The y-intercept represents the starting or initial value of the function, where x = 0. It represents the height from which the golf ball motion path starts

Part D: The solution represents the values of the x-intercept at which the elevation is the y = 0.

The probability of landing heads exactly 11 times when a coin is tossed 20 times is option a) 0.1602

The repeated tossing of a coin follows a binomial distribution

P(X = x) = ⁿCₓ pˣ (1 - p)⁽ⁿ ⁻ ˣ⁾

where,

n = No. of times the experiment was repeated

x = random variable defining the number of "successes"

p = probability of "success"

Here

"succeess" is the event of landing a head.

n = 20

x = no. of times heads should show, i.e 11

p = probability of landing a head in a single toss

= 1/2

Hence, putting all this in the formula above we get

P(X = 11) = ²⁰C₁₁ 0.5¹¹ (1 - 0.5)⁽²⁰ ⁻ ¹¹⁾

= ²⁰C₁₁ 0.5¹¹ 0.5⁹

= ²⁰C₁₁ 0.5²⁰

= 20!/ 11! (20 - 11)! X 0.5²⁰

= a) 0.1602

Complete Question

An unbiased coin is tossed 20 times.

Find the probability that the coin lands heads exactly 11 times

a. 0.1602

b. 0.5731

c. 0.2941

d. 0.1527

e. 0.6374

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check images :) and yeah i agree i hate when people just put random letters to get points

The equations that have y-coordinate of the y-intercept as positive is 3. h(x) = (x - 1)² and 5. b(x) = (x + 1)(x + 2).

The graph's intersection with the y-axis is known as the y-intercept. Finding the intercepts for any function with the formula y = f(x) is crucial when graphing the function. An intercept can be one of two different forms for a function. The x-intercept and the y-intercept are what they are. A function's intercept is the location on the axis where the function's graph crosses it.

The y-intercept is obtained when the x-coordinate is 0.

Thus, substitute the value of x = 0:

1. f(x) = x² + 3x - 2

f(x) = 0 + 3(0) - 2

f(x) = -2

False

2. g(x) = x² - 10x

g(x) = 0 - 10(0)

g(x) = 0

3. h(x) = (x - 1)²

h(x) = (0 - 1)²

h(x) = 1

True

4. m(x) = 5x² - 3x - 5

m(x) = 5(0) - 3(0) - 5

m(x) = -5

False

5. b(x) = (x + 1)(x + 2)

b(x) = (0 + 1)(0 + 2)

b(x) = 2

True

Hence, the equations that have y-coordinate of the y-intercept as positive is 3. h(x) = (x - 1)² and 5. b(x) = (x + 1)(x + 2).

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The equation of the line that passes through (-3, 5) and is perpendicular to the line passing through (-6, 1/2) and (-4, 2/3) is y = -12x - 31.

To find the equation of the line that passes through (-3, 5) and is perpendicular to the line passing through (-6, 1/2) and (-4, 2/3), we need to follow these steps:

1. Find the slope of the given line.

2. Determine the negative reciprocal of the slope to find the slope of the perpendicular line.

3. Use the slope and the point (-3, 5) to find the equation of the perpendicular line using the point-slope form.

Let's begin by finding the slope of the given line:

Slope of the given line = (y2 - y1) / (x2 - x1)

                       = ((2/3) - (1/2)) / (-4 - (-6))

                       = ((4/6) - (3/6)) / (-4 + 6)

                       = (1/6) / 2

                       = 1/12

The slope of the given line is 1/12.

To find the slope of the perpendicular line, we take the negative reciprocal:

Slope of perpendicular line = -1 / (1/12)

                          = -12

The slope of the perpendicular line is -12.

Now, using the slope (-12) and the point (-3, 5), we can find the equation of the perpendicular line using the point-slope form:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 5 = -12(x - (-3))

y - 5 = -12(x + 3)

y - 5 = -12x - 36

y = -12x - 36 + 5

y = -12x - 31

Therefore, the equation of the line that passes through (-3, 5) and is perpendicular to the line passing through (-6, 1/2) and (-4, 2/3) is y = -12x - 31.

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Answer: A

Step-by-step explanation:

X=1

The total surface area of the trapezoidal prism is S = 3,296 inches²

Given data ,

Let the total surface area of the trapezoidal prism is S

Now , the measures of the sides of the prism are

Side a = 10 inches

Side b = 32 inches

Side c = 10 inches

Side d = 20 inches

Length l = 40 inches

Height h = 8 inches

Lateral area of prism L = l ( a + b + c + d )

L = 40 ( 10 + 32 + 10 + 20 )

L = 2,880 inches²

Surface area S = h ( b + d ) + L

On simplifying the equation , we get

S = 2,880 inches² + 8 ( 52 )

S = 3,296 inches²

Hence , the surface area of prism is S = 3,296 inches²

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The chance that the brake pads last out the term can be calculated based on the probability that the total wear is less than or equal to 16.5mm - 0.144mm.

a) The chance that the brake pads last out the term can be approximated using the normal distribution. Since there are 16 locations requiring braking per round trip, the total wear per round trip can be modeled as a normal distribution with a mean of 16 * 0.009mm = 0.144mm and a standard deviation of 16 * 0.025mm = 0.4mm.

Therefore, the chance that the brake pads last out the term can be calculated based on the probability that the total wear is less than or equal to 16.5mm - 0.144mm.

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Answer:

Let Cards with Tom be x

Therefore ,

Cards with Bill=x+28

No. of cards in total=112

x+x+28=112

2x=84

x=42.

Therefore,

Cards with Tom=42

Cards with Tom=42Cards with Bill=70

The solution to the algebraic expression 3 × 5 + (9²/(27 × ¹/₃)) - (-10) using order of operations is; 34

The order of operations is mathematical operations is as follows: PEMDAS which denotes parentheses, exponents, multiplication, division, addition, then subtraction.

We want to solve the algebraic expression;

3 × 5 + (9²/(27 × ¹/₃)) - (-10)

Let us first solve the numerator to get;

15 + (81/(27 × ¹/₃)) - (-10)

Let us now solve the denominator to get;

15 + (81/9) + 10

= 15 + 9 + 10

= 34

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If the angle of depression to the buoy is 250, then the buoy is approximately 47.2 meters from the base of the lighthouse.

What is angle of depression ?

The angle of depression is the angle between a horizontal line of sight and the line of sight from an observer to a point or object that is lower than the observer. It is commonly used in trigonometry and geometry problems that involve the height or depth of an object relative to an observer or the ground.

We can start by drawing a diagram to visualize the situation.

In the diagram, A represents the location of the lighthouse, B represents the location of the buoy, and x represents the distance from the base of the lighthouse to the buoy that we want to find.

Since the angle of depression from the lighthouse to the buoy is 25 degrees, we know that angle ABx is also 25 degrees. We also know that the height of the lighthouse above sea level is 22 meters.

We can use the tangent function to find the value of x:

tan(25°) = opposite / adjacent

tan(25°) = 22 / x

Solving for x, we get:

x = 22 / tan(25°)

x ≈ 47.2 meters

Therefore, the buoy is approximately 47.2 meters from the base of the lighthouse.

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Answer:

Solution Below.

Step-by-step explanation:

This question tests on the concept of angle properties.

From the question above, we can form up an equation:

x + 2x + (x + 30) = 180 (Sum of angles in a triangle)

Now, we can solve for x to find the angles of each side.

\(x + 2 x + x + 30 = 180 \\ 4x + 30 \\ 4x = 150 \\ x = 37.5\)

Now we can find the angles for each side:

x = 37.5

2x = 2 × 37.5 = 75

x + 30 = 37.5 + 30 = 67.5

Answer:

37.5, 75, and 67.5

Step-by-step explanation:

The angles of a triangle add up to 180 so everything inside is equal to 180.

180=x+2x+x+30, simplify

180=4x+30, subtract 30 on both sides

150=4x, divide 4 on each  side

37.5=x

solve now knowing x

x= 37.5

x+30= 67.5

2x= 75

Answer: a) i) The width of the floor can be expressed in terms of c as: w = c - 2 cm.

ii) The area of the floor can be expressed in terms of c as: A = c * (c - 2) cm^2.

b) If the area of the room is 15 cm^2, then we can write the equation as:

c * (c - 2) = 15.

c) Solving for c, we get:

c^2 - 2c - 15 = 0.

Using the quadratic formula, we find that:

c = 5 or c = -3.

Since the length of the room cannot be negative, we choose c = 5.

Therefore, the length of the room is 5 cm and the width of the room is 3 cm.

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

square root of 12^2 + 5^2

The limit of the fraction as x approaches 3 is 4.

We can use algebraic manipulation to simplify the fraction.

StartFraction x squared minus 12 Over x squared minus 3 x EndFraction

= StartFraction x squared minus 12 Over x squared minus 3 x EndFraction x squared

= StartFraction x squared minus 12 x squared Over x squared times x squared minus 3 x EndFraction

= StartFraction x squared times x squared minus 12 x squared Over x squared times x squared minus 3 x EndFraction

= StartFraction x to the fourth minus 12 x squared Over x squared times x squared minus 3 x EndFraction

Now we can plug in x = 3 to get the limit:

= StartFraction 3 to the fourth minus 12 x 3 squared Over 3 squared times 3 squared minus 3 x EndFraction

= StartFraction 81 - 36 Over 27 - 9 EndFraction

= StartFraction 45 Over 18 EndFraction

= 4

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Answer:

Step-by-step explanation:

A cereal box manufacturer changes the sizeof the box to increase the amount of cereal itcontains. The equations 12 + 7.6n and 6 + 8n,where n is the number of smaller boxes, areboth representative of the amount of cereal thatthe new larger box contains. How many smallerboxes equal the same amount of cereal in thelarger box?

Answer:

B

2 times 3 times 11

Step-by-step explanation:

Answer:

60:84

Step-by-step explanation:

We can divide 144 by 12 as 5+7 = 12.

We get 12 and we multiply 12 by both of the sections.

We get 60 and 84.

Answer:

t

The cost of 34 kg onions=RS21

then,

the cost of 1kg onions=?

Now,

34kg=RS21

1kg=21÷34

1kg=0.61

hope it helps you!!

stay safe healthy and happy!!

The Wronskian of y1 = e^(3x) and y2 = e^(-7x) on the interval (-∞, ∞) is W(y1, y2) = 10.

To find the Wronskian of y1 = e^(3x) and y2 = e^(-7x), we can use the formula for calculating the Wronskian of two functions. Let's denote the Wronskian as W(y1, y2).

The formula for calculating the Wronskian of two functions y1(x) and y2(x) is given by:

W(y1, y2) = y1(x) * y2'(x) - y1'(x) * y2(x)

Let's calculate the derivatives of y1 and y2:

y1(x) = e^(3x)

y1'(x) = 3e^(3x)

y2(x) = e^(-7x)

y2'(x) = -7e^(-7x)

Now, substitute these values into the Wronskian formula:

W(y1, y2) = e^(3x) * (-7e^(-7x)) - (3e^(3x)) * e^(-7x)

= -7e^(3x - 7x) - 3e^(3x - 7x)

= -7e^(-4x) - 3e^(-4x)

= (-7 - 3)e^(-4x)

= -10e^(-4x)

So, the Wronskian of y1 = e^(3x) and y2 = e^(-7x) is W(y1, y2) = -10e^(-4x).

Note that the order of the functions matters in the Wronskian calculation. If we were to reverse the order and calculate W(y2, y1), the result would be the negative of the previous Wronskian:

W(y2, y1) = -W(y1, y2) = 10e^(-4x).

Since the Wronskian is a constant value regardless of the interval (-∞, ∞) in this case, we can evaluate it at any point. For simplicity, let's evaluate it at x = 0:

W(y1, y2) = 10e^(0)

= 10

Therefore, the Wronskian of y1 = e^(3x) and y2 = e^(-7x) on the interval (-∞, ∞) is W(y1, y2) = 10.

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It will take approximately 4.1 years for a $3000 investment to grow to $6450 at an annual rate of 10%, compounded quarterly.

The interest that is accrued on both the principle and any accumulated interest from earlier periods is known as compound interest. In other words, interest is gained on top of interest and is reinvested. With time, compound interest increases enormously.

Simple interest, on the other hand, is interest that is simply paid on the principle. As interest is not reinvested, the investment's growth is linear over time.

The compound interest is given by the formula:

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

Substitute the values given:

\(A = $3000(1 + 0.10/4)^{(4t)}\\$6450 = $3000(1 + 0.10/4)^{(4t)}\\2.15 = (1 + 0.10/4)^{(4t)}\)

Taking log on both sides we have:

\(ln(2.15) = ln[(1 + 0.10/4)^{(4t)]}\)

ln(2.15) = 4t ln(1 + 0.10/4)

t = ln(2.15)/(4 ln(1 + 0.10/4))

t ≈ 4.1

Hence, it will take approximately 4.1 years for a $3000 investment to grow to $6450 at an annual rate of 10%, compounded quarterly.

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