Solve the equation. 5 = –z – 3

Answer:

Step-by-step explanation:

Let the consecutive even numbers be 2n , (2n + 2) , (2n +4), (2n + 6)

2n + 2n+2 + 2n+4 + 2n+6 = 180

Add like terms

2n + 2n + 2n + 2n + 2 + 4 + 6 = 180

8n + 12 = 180

Subtract 12 from both sides

8n + 12 - 12 = 180 - 12

              8n = 168

Divide both sides by 8

 8n/8 = 168/8

     n = 21

2n = 2*21 = 42

2n + 2= 2*21 +2 = 42 +2 = 44

2n +4 = 2*21 + 4 = 42 + 4 = 46

2n +6 = 2*21 + 6 = 42 + 6 = 48

The 4 consecutive even integers:  42, 44 , 46 , 48

The process is capable of producing outputs within the specification limits is true.

There are a number of potential reasons for why the process is not meeting the target value. One possibility is that the target value is too ambitious and is not realistic given the current process capability. Another possibility is that there is some inherent variability in the process that is not being accounted for. It is also possible that there are some external factors that are affecting the process, such as changes in the raw materials or the environment.

The design engineers have established an upper specification limit of 22 and a lower specification limit of 18. This means that they are confident that the process is capable of producing outputs within these limits. However, the fact that the process is consistently averaging 19.8 with a standard deviation of 0.5 suggests that there is some room for improvement.

One potential way to improve the process is to focus on reducing the inherent variability. This can be done by identifying and addressing the sources of variability in the process. Another potential way to improve the process is to reduce the target value. This may be necessary if the current target value is not realistic given the process capability.

It is also important to monitor the process over time to ensure that it is remaining within the specification limits. This will help to identify any potential issues that may arise and allow for corrective action to be taken if necessary.

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A.The process is in statistical control.

B.The process is capable of producing outputs within the specification limits.

C.The process is capable of producing outputs within the tolerance limits.

D.The process is capable of producing outputs within the control limits.

E.The process is capable of producing outputs that are normally distributed. The process is capable of producing outputs within the specification limits

which statement concerning this process is true?

The volume of the solid obtained by rotating the region bounded by y = x^2 and y = 6 about the line x = -3 is approximately 481.39 cubic units.


To find the volume of the solid, we can use the method of cylindrical shells. The region bounded by y = x^2 and y = 6 in the first quadrant is a parabolic shape above the x-axis.
To set up the integral for the volume, we consider an infinitesimally small vertical strip of thickness Δx at a distance x from the line x = -3. The height of the strip is given by the difference between the two curves: h = 6 – x^2. The circumference of the cylindrical shell is given by the formula 2πr, where r is the distance between x and the line x = -3, which is r = x + 3.

The volume of the infinitesimal shell is then given by dV = 2π(x + 3)(6 – x^2)Δx. Integrating this expression from x = 0 to x = 3, we obtain the volume V = ∫[0,3] 2π(x + 3)(6 – x^2)dx. Evaluating this integral, we find V ≈ 481.39 cubic units.
In summary, the volume of the solid obtained by rotating the region bounded by y = x^2 and y = 6 about the line x = -3 is approximately 481.39 cubic units.

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Answer:

Step-by-step explanation:

the 3rd option is the correct answer.

Answer: Can you add a picture

Step-by-step explanation:

Answer:

<3

Step-by-step explanation:

Answer:

x=-17.......................

Step-by-step explanation:

x+17=0

Finding the union of the sets A and C is the first step in solving P(A U C). Since set C only contains the number 6, the union of A and C has the elements 1, 2, 3, 4, and 6. A U C thus equals 1, 2, 3, 4, and 6.

The power set of A U C, which comprises all conceivable subsets of 1, 2, 3, 4, and 6, must then be located. If all conceivable subsets are listed, the power set of A U C, designated as P(A U C), will be discovered.

P(A U C) = { {}, {1}, {2}, {3}, {4}, {6}, {1,2}, {1,3}, {1,4}, {1,6}, {2,3}, {2,4}, {2,6}, {3,4}, {3,6}, {4,6}, {1,2,3}, {1,2,4}, {1,2,6}, {1,3,4}, {1,3,6}, {1,4,6}, {2,3,4}, {2,3,6}, {2,4,6}, {3,4,6}, {1,2,3,4}, {1,2,3,6}, {1,2,4,6}, {1,3,4,6}, {2,3,4,6}, {1,2,3,4,6}}.

There are 31 subsets in the power set P(A U C) that result from the union of sets A and C.

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Answer: The paint mixer should mix 2.75 gallons of 30% gloss paint and 1 gallon of 15% gloss paint to make 3.75 gallons of paint that is 20% gloss.

To calculate the number of gallons of each paint that the mixer should mix, we need to use the formula: C1V1 + C2V2 = C3V3, where C1 and V1 are the concentration and volume of the first paint, C2 and V2 are the concentration and volume of the second paint, and C3 and V3 are the concentration and volume of the mixture. Using this formula and the given information, we can set up the equation:0.30V1 + 0.15V2 = 0.20(3.75)Simplifying the equation, we get:V1 + V2 = 3.75And, rearranging it, we get:V2 = 3.75 - V1.Substituting this in the first equation, we get:0.30V1 + 0.15(3.75 - V1) = 0.20(3.75).Simplifying and solving for V1, we get:V1 = 2.75.

Therefore, the mixer should mix 2.75 gallons of 30% gloss paint and 1 gallon of 15% gloss paint to make 3.75 gallons of paint that is 20% gloss.

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The feedback that the runners received from their coach is called positive feedback. Positive feedback is a type of feedback that reinforces the current behavior, making it more likely to continue or increase in frequency.

In this case, the runners' average time for sprinting improved each day, so the coach provided positive feedback to encourage them to continue with their training. Positive feedback can be a powerful motivator, as it provides a sense of accomplishment and encourages individuals to continue striving for improvement. In contrast, negative feedback involves pointing out areas for improvement or mistakes, and can be demotivating if not delivered constructively.

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Answer: Right/complementary angles

Step-by-step explanation:

Two angles that add up to 90 degrees are called complementary angles.

Complementary angles are a pair of angles that, when added together, equal a right angle, which measures 90 degrees.

In other words, the sum of the measures of complementary angles is always 90 degrees.

Complementary angles often arise in geometry and trigonometry, and understanding their properties is important when working with angles and solving problems involving right triangles.

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Answer:

The length of the arc is 89 yards

Step-by-step explanation:

Mathematically, to find the length of an arc, we use the formula below;

Length of an arc = Theta/360 * 2 * pi * r

In this case, Theta = 300 and r = 17 yards

Length of the arc = 300/360 * 2 * 22/7 * 17 = 89.047619047583 which is 89 yards to the nearest yard

The equity beta for a firm is 0.944.

Equity Beta:

Equity Beta measures the volatility of the stock to the market, i.e., how sensitive is the stock price to a change in the overall market. It compares the volatility associated with the change in the prices of a security.

The formula to calculate equity beta:

Equity beta = Asset beta ( 1 + D/E( 1 - Tax))

Asset beta = 0.8

D/E = 0.3

Tax rate = 40%

Equity beta =  0.8 ( 1 + 0.3( 1- 40/100))

                   = 0.8 ( 1 + 0.3 × 6/10)

                   = 0.8 ( 1 + 0.18)

                   = 0.8 × 1.18

                   =0.944

Therefore the equity beta is 0.944.

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Answer:

m∡QPR = 25°

Step-by-step explanation:

solve for 'x':

8x + 7 + 9x + 16 = 40

17x + 23 = 40

17x = 17

x = 1

m∡QPR = 9(1) + 16

m∡QPR = 25°

Break even number of coats will be 38.

Given in the question,

Linear profit function will be,

P(x) = R(x) - C(x)

And condition for the break even point → P(x) = 0

Therefore, P(x) = R(x) - C(x) = 0

By substituting the values of P(x) and R(x),

53x + 790 = 74x

74x - 53x = 790

21x = 790

x = 37.62

x ≈ 38

   Therefore, break even number of coats will be 38.

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Answer:

A: the cost per pund of coffee

Step-by-step explanation:

You need x and y- values. So one would be the pound (x) and the other would be the cost (y)

Answer:

Charging a noncustomer helps pay for the cost of keeping the ATM running and supplied with cash. Customers of the bank already cover the ATM costs with regular fees or by allowing the bank to loan out their money.

Step-by-step explanation:

Answer:

y= - 5x+6

Step-by-step explanation:

The rule in function notation for the courier company charge on delivery is

C = 15 + 1.6x

Independent variables  are the ones that you include in the model to explain or predict changes in the dependent variable.

The dependent variable is what you want to use the model to explain or predict. The values of this variable depend on other variables. It is the outcome that you’re studying. It’s also known as the response variable, outcome variable, and left-hand variable.

Given in the question,

A courier company charges $15 plus $1.60 per pound to deliver packages

Here , the dependent variable is cost of delivery because it is depending on how much a packages is weighting

The independent variable here is the weight of package because it doesn't depend on anything.

Let the cost of delivery be C and weight of package be x

The function for the charge will be :

C = 15 + 1.6x

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Answer:

Generally, taking a shower uses less water than a full bath. A standard showerhead flows at a rate of 2.5 gallons per minute. This means that a ten-minute shower only uses 25 gallons of water. A full bath can use up to 70 gallons of water.

Step-by-step explanation:

If this helps plz give me brainliest :)

Answer:

Y= 50w+100

theres your inequality

Step-by-step explanation:

Answer:

You get 100 points for playing the game, and 50 points per each seven letter word you are able to make.

Let "seven-letter" = w

50 points per each seven letter = 50w

100 points for playing the game = + 100

50w + 100 ≥ 18000 is your inequality.

hope this helps

Answer:

The numbers are 37 and 38.

Step-by-step explanation:

Forming the equation,

→ x + (x + 1) = 75

→ 2x + 1 = 75

Now the value of x will be,

→ 2x + 1 = 75

→ 2x = 75 - 1

→ x = 74/2

→ [ x = 37 ]

The another number will be,

→ x + 1

→ 37 + 1 = 38

Hence, numbers are 37, 38.

Answer:

651,641 more people live in Nashville.

Step-by-step explanation:

Since more people live in Nashville, we subtract the population of Nashville by the population of Spring Hill to get:

691,243 - 39,602

= 651,641

Answer:

25%

Step-by-step explanation:

20 / 5 = 4

100 ÷ 4 = 25

= 25%

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

To find the probability that the mean years of education for a sample of 35 people is at least 12 years, we need to use the Central Limit Theorem (CLT) and the properties of the normal distribution.

Given:

- Mean (μ) of the population = 13.2 years

- Standard deviation (σ) of the population = 2.96 years

- Sample size (n) = 35

Using the CLT, we know that for a sufficiently large sample size (n ≥ 30), the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

To calculate the probability, we need to standardize the sample mean using the z-score formula and then find the corresponding area under the standard normal curve.

Step 1: Calculate the standard error of the mean (SE):

SE = σ / √n

SE = 2.96 / √35

SE ≈ 0.5013

Step 2: Calculate the z-score for the given mean of 12 years:

z = (x - μ) / SE

z = (12 - 13.2) / 0.5013

z ≈ -2.395

Step 3: Find the area under the standard normal curve for z ≥ -2.395:

P(z ≥ -2.395) can be obtained using a standard normal distribution table or a calculator. The corresponding area is approximately 0.9911.

Therefore, the probability that the mean years of education for a sample of 35 people is at least 12 years is approximately 0.9911, or 99.11%.

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Answer: 2.52

Step-by-step explanation:

(assuming that when you say 710, you mean 7/10)

3.6/1 times 7/10 =  25.2/10 or 2.52

The perimeter of the rectangle with the given vertices is 21.66 units.

Using Distance Formula, we have

\(AB = \sqrt{(1-1)^{2} +(6-1)^{2} } = \sqrt{25} = 5\)

And \(CD= \sqrt{(4-4)^{2} +(1-6)^{2} } = \sqrt{25} = 5\)

\(BD= \sqrt{(1-4)^{2} +(1-6)^{2} } = \sqrt{9+25} = \sqrt{34} = 5.8\)

\(AC = \sqrt{(4-1)^{2} +(1-6)^{2} } = \sqrt{9+25} = \sqrt{34} = 5.8\)

Hence, the length of the perimeter is 5 units and the breadth of the perimeter is 5.8 units.

Now, the perimeter of a rectangle with length l, and breadth b is given by

Perimeter = 2(l+b)

Perimeter= 2 ( 5 +5.8) = 2 * 10.8 = 21.66 units.

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The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

  (x, y) = (-1, 5)

Step-by-step explanation:

You want to solve this system of equations by substitution.

The idea of substitution means we want to replace an expression in one equation for an equivalent expression based on the other equation.

Here, the second equation gives an expression equivalent to "y", so we can use that expression in place of y in the first equation:

  5x +2(-2x +3) = 5 . . . . . . . . (-2x+3) substitutes for y

  x +6 = 5 . . . . . . . . . . simplify

  x = -1 . . . . . . . . . subtract 6

  y = -2(-1) +3 = 5 . . . . . use the second equation to find y

The solution is (x, y) = (-1, 5).

__

Additional comment

Choosing substitution as the solution method often works well if one of the equations gives an expression for one of the variables, or if it can be solved easily for one of the variables. The "y=" equation is a good candidate for providing an expression that can be substituted for y.

Any equation that has one of the variables with a coefficient of +1 or -1 is also a good candidate for providing a substitution expression.

  4x -y = 3   ⇒   y = 4x -3 . . . . . for example

The attached graph confirms the solution above.

Answer:

1. 60

2. 70

3. 30

Step-by-step explanation:

Hope this helps!!!!

Step-by-step explanation:

1.m<2=60°

30°+90°

=120°

180°-120°

=60°

2.m<1=70°

20°+90°

=110°

180°-110°

=70°