Write 4.06 correct to 1 decimal place.​

Answer: 450

Step-by-step explanation: 95+115+240=450

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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The standard deviation of the response time is 1.53 minutes.

To get standard deviation, we will determine z-scores corresponding to the given percentiles and use them to calculate the standard deviation.

Z-score = z = (x - μ) / σ

For the lower bound of 10 minutes:

z = (10 - 13) / σ

For the upper bound of 16 minutes:

z = (16 - 13) / σ

As normal distribution is symmetric, the z-score corresponding to the lower tail of 2.5% is -1.96, and the z-score corresponding to the upper tail of 2.5% is 1.96.

Using z-scores, we set up  equations:

(10 - 13) / σ = -1.96

(16 - 13) / σ = 1.96

Solving the first equation:

-3 / σ = -1.96

σ = -3 / -1.96

Solving the second equation:

3 / σ = 1.96

σ = 3 / 1.96

Dividing both sides by 1.96:

-3 / 1.96 = σ

1.53 = σ

Full question:

The respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes. What is S.D. of the response time.

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9514 1404 393

Answer:

  D = {5, 6, 7, 8}; R = {-3, -2, 0, 10}; is a function

Step-by-step explanation:

The domain is the list of x-values. The range is the list of y-values. We often like to see these lists in order smallest to largest.

If there are no repeated x-values, then the relation is a function.

  D = {5, 6, 7, 8}

  R = {-3, -2, 0, 10}

  Function? yes

Answer:

The speed of the plane in the still air is 420 miles/hour

The speed of the wind 60 miles/hour

Step-by-step explanation:

Let the speed of the plane with the wind be v

Let the speed of the plane against the wind be u

Now, speed = distance/time

With the wind,

v = (1440 miles)/(3 hours) = 480 miles/hour

v = 480 miles/hour

Against the wind,

u = (1440 miles)/(4 hours) = 360 miles/hour

u = 360 miles/hour

Now, let the speed of plane be p, and speed of wind be w,

Now, with the wind, the speed is 480 mph,

so,

speed of plane + speed of wind = 480 mph

p + w = 480  (i)

and against the wind, the speed is 360 mph,

so,

speed of plane - speed of wind = 360mph

p-w = 360 (ii)

adding equations (i) and (ii), we get,

p+w + p-w = 480 + 360

2p = 840

p = 840/2

p = 420 miles/hour

Then, the speed of the wind will be,

p + w = 480,

420 + w = 480

w = 480 - 420

w = 60 miles/hour

The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.

This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).

From the problem, we know that:

By solving these two equations, we get the following:

Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).

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My recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs. This combination offers the highest profit potential based on the given prices and costs.

In order to maximize their profit, Carlos and Clarita should choose the combination of cats and dogs that yields the highest total profit.

In order to make a reasonable recommendation, we can create a profit table based on different values of x and y:

x y Total Profit

0 0 0

1 0 6

0 1 15

1 1 21

2 1 27

1 2 30

2 2 36

3 2 42

2 3 45

3 3 51

From the table, we can see that the highest total profit is achieved when they accommodate 3 cats and 3 dogs. This combination would result in a daily profit of $51.

Therefore, my recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs.

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The percent error of the estimate is -2.14%

In this question, the figures are given as

Estimate = 5.5 cm

Actual = 5.62 cm

The percentage of the error is then calculated using the following equation

Error percentage = (Estimate - Actual)/Actual * 100%

Substitute the known values in the above equation, so, we have the following representation

Error percentage = (5.5 - 5.62)/5.62 * 100%

Evaluate

Error percentage = -2.14%

Hence, the error percentage is -2.14%

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Answer:

3

Step-by-step explanation:

Answer:

Its normal value would be 50 beats per minute.

Step-by-step explanation:

20% = 10bpm

40% = 20bpm

60% = 30bpm

80% = 40bpm

100% = 50bpm

Answer:

a: x = -4

b: x = 4

c: y = 4

d: y = -2

e: y = -3/4x + 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

20

Step-by-step explanation

Answer:    

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. No, these are not mutually exclusive events because it is possible for a male student at Riverdale High School to be a member of the football team.

Using the Multiplication Rule, we can find the probability of at least one successful surgery out of three surgeries as follows:

P(at least one successful surgery) = 1 - P(no successful surgeries)

To find the probability of no successful surgeries, we use the complement rule and multiply the probabilities of three unsuccessful surgeries:

P(no successful surgeries) = 0.225 x 0.225 x 0.225 = 0.011390625

Therefore, the probability of at least one successful surgery out of three surgeries is:

P(at least one successful surgery) = 1 - 0.011390625 = 0.988609375

So, the answer is d. 0.989 (rounded to three decimal places).

Answer:

225

Step-by-step explanation:

x² -y³

Evaluate for x=3,y=−6

3²−(−6)³

3²−(−6)³

=225

The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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Answer:

Variance: 589.0545454545456

Standard Deviation: 24.270445926157716

Range: 79

Step-by-step explanation:

First, I added up all of the numbers:15 + 20 + 28 + 34 + 44 + 46 + 49 + 55 + 57 + 82 + 94 = 524

I squared the total, and then divided the number of items in the data set524 x 524 = 274576

274576 / 11 = 24961.454545454544

I took my set of original numbers from step 1, squared them individually this time, and added them all up:(15 x 15) + (20 x 20) + (28 x 28) + (34 x 34) + (44 x 44) + (46 x 46) + (49 x 49) + (55 x 55) + (57 x 57) + (82 x 82) + (94 x 94) = 30852

I subtracted the amount in step 2 from the amount in step 3:30852 - 24961.454545454544 = 5890.545454545456

I subtracted 1 from the number of items in my data set:11 - 1 = 10

I divided the number in step 4 by the number in step 5:5890.545454545456 / 10 = 589.0545454545456

This is my Variance!

Finally, I took the square root of the number from step 6 (the Variance),

√(589.0545454545456) = 24.270445926157716

This is my Standard Deviation!

Answer:

B is the correct answer

Step-by-step explanation:

You can use a graphing calculator to help with these kind of questions, Desmos is a good graphing calculator

Step-by-step explanation:

\(sin(1 \div 4a + 20) = \sqrt{3} \div 2 \\ sin(1 \div 4a + 20) =sin 60\)

1÷4a+20=60

1÷4a=4

a=1/160

Answer:

7/12, 2/3, 17/24, 3/4

Answer:

7

Step-by-step explanation:

i took the quiz

Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.

When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.

Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.

Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

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Step-by-step explanation:

100g (jam) = 57g(stb) + 17g (blb)+ Xg (sugar)

Xg (sugar) = 100g (jam) - 57 g(stb) - 17 g (blb)

Xg (sugar) = 26g(sugar)

Ratio of blb to sugar is 17/26. As the prime factor for 26 are 2 and 13 , 17/26 is the simplest form of the ratio of blackberries to sugar .

Answer:

32+4x

Step-by-step explanation:

First, sketch a square.

Next, write x on each side.

Now, put an 8+ next to the x since Kathy decided she needs a new pan 8 inches longer.

Finally, since there are four sides, you'll do the expression "(8+x)4."

And now, you can solve it more detailedly, 32+4x.

I hope this has helped you!

Answer:

  both are rectangles

Step-by-step explanation:

You want to know what two quadrilaterals each having four right angles have in common.

A quadrilateral with four right angles is called a "rectangle." Each of the figures is a rectangle.

__

Additional comment

There are more general classifications that also apply. The figures are made from line segments connected end-to-end that enclose a space, so they are simple polygons. The adjacent right angles mean the figures have opposite sides parallel, so are parallelograms.

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Answer:

Step-by-step explanation:

So in its lowest terms it is $1/6

Answer:

The correct answer is option 4. The slope of -y = -x + 5 is 1.

Step-by-step explanation:

Answer:

first option

hope this is helpful