2(2.5x + 2) - (2x - 1)

Answer:

40

Step-by-step explanation:

12 + 30

Answer:

42 cubes in the cuboid

b/c 4*3*1 = 12

5*3*2 =30

42

We can infer that there are more flaws caused on the day shift at the 0.05 significance level.

To determine if there are more defects produced on the day shift compared to the afternoon shift, we can conduct a one-tailed paired t-test. Let's go through the steps:

1. Null and alternate hypotheses:

H0: μd ≤ 0 (There is no significant difference or the day shift has fewer defects)

H1: μd > 0 (There are more defects on the day shift)

2. Sample information:

Day:                      1   2   3   4

Day shift:             10  12  15  19

Afternoon shift:    8    9    12  15

3. Calculate the differences:

We calculate the difference between the day shift and afternoon shift for each day:

d = (Day shift) - (Afternoon shift)

d = 10-8, 12-9, 15-12, 19-15

d = 2, 3, 3, 4

4. Calculate the mean and standard deviation of the differences:

Mean (xd) = (2+3+3+4)/4 = 3

Standard deviation (sd) = √[(Σ(d-xd)²)/(n-1)]

                     = √[(0²+1²+1²+2²)/3]

                     ≈ √(6/3)

                     ≈ √2

                     ≈ 1.414

5. Calculate the test statistic:

t = (xd - μd)/(sd/√n)

  = (3 - 0)/(1.414/√4)

  = 3/0.707

  ≈ 4.243

6. Degrees of freedom:

Degrees of freedom (df) = n - 1 = 4 - 1 = 3

7. Decision rule:

Since we are conducting a one-tailed test at the 0.05 significance level, the critical t-value is obtained from the t-distribution table for df = 3 and α = 0.05. The critical t-value is approximately 2.920.

8. Decision regarding H0:

If the calculated test statistic (t) is greater than the critical t-value, we reject H0. Otherwise, we do not reject H0.

9. P-value:

To find the p-value associated with the calculated test statistic, we need to look it up in the t-distribution table or use statistical software. The p-value represents the probability of observing a test statistic as extreme or more extreme than the one calculated, assuming H0 is true. In this case, the p-value is less than 0.005 (Between 0.0005 and 0.005).

Summary:

- Decision rule: Since the calculated test statistic (4.243) is greater than the critical t-value (2.920), we reject H0.

- The p-value is less than 0.005.

- Decision regarding H0: We reject H0.

Therefore, at the 0.05 significance level, we can conclude that there are more defects produced on the day shift.

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Answer:

f/373 = 294

Step-by-step explanation:

The dimensions of the rectangle are (5a+6b) and (5a-6b).

The area of a rectangle is given by the formula A = lw, where A is the area, l is the length, and w is the width. In this case, we are given that the area is (\(25a^2-36b^2\)). We need to factor this expression to determine the dimensions of the rectangle.

We can factor the expression (\(25a^2-36b^2\)) using the difference of squares formula, which states that \(a^2 - b^2\) = (a+b)(a-b). Applying this formula, we get:

\(25a^2 - 36b^2 = (5a)^2 - (6b)^2\) = (5a+6b)(5a-6b)

Therefore, the dimensions of the rectangle are (5a+6b) and (5a-6b).

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Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

According to ISM (Institute for Supply Management), a framework of measurable corporate policies and procedures and resulting behavior designed to benefit the workplace and, by extension, the individual, the organization, and the community is referred to as "social responsibility."

Social responsibility encompasses the idea that businesses have a responsibility to operate ethically, sustainably, and in a manner that contributes positively to society. It involves adopting policies and practices that prioritize the well-being of employees, stakeholders, and the environment. By implementing social responsibility measures, organizations aim to create a positive impact on society while also enhancing their own reputation, long-term success, and overall value. This framework encourages businesses to integrate social, environmental, and ethical considerations into their decision-making processes and day-to-day operations.

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Answer:

20%

Step-by-step explanation:

9/45 = 0.2

0.2*100 = 20

Answer:

The volume of the prism is not equal to the volume of the cylinder.

Step-by-step explanation:

I took the test and it was right

If the base area of a triangular prism and a right cylinder are congruent then the volume of both can not be the same.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The cross-sectional areas of a triangular prism and a right cylinder are congruent.

The triangular prism has a height of 10 units, and the right cylinder has a height of 7 units.

The volume of the triangular prism will be

\(\rm Triangular \ prism \ volume = \dfrac{1}{2} \times a \times b \times 10\\\\\rm Triangular \ prism \ volume = 5ab\)

Where a is the height of the triangle and b is the base of the triangle.

The volume of the right cylinder will be

\(\rm Right \ cylinder \ volume = \pi \times r^2 \times 7\\\\\rm Right \ cylinder \ volume = 22\ r^2\)

Where r is the radius of the base circle.

If the base area of a triangular prism and a right cylinder are congruent then the volume of both can not be the same.

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Answer:

4:10 PM

Step-by-step explanation:

The time at which the passenger train is 61.5 miles west of Kalamazoo and the freight train is now 49.5 miles east of Kalamazoo  4:10 pm

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let a represent the speed passenger train and b for the freight train.

The passenger train averages 16 miles per hour faster than the freight train, hence:

a = b + 16   (1)

Also:

a = 61.5/t

t = 61.5/a

b = 49.5/t

t = 49.5/b

61.5/a = 49.5/b

61.5b = 49.5a    (2)

From both equations:

a = 82 mph, b = 66 mph

t = 61.5/82 = 0.75 hour = 45 minutes

Time = 3:25 p.m + 45 minutes = 4:10 pm

The time at which the passenger train is 61.5 miles west of Kalamazoo and the freight train is now 49.5 miles east of Kalamazoo  4:10 pm

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The lower confidence interval for the mean life of the new type of LED at a 95% confidence level is [5084.7,∞ )

To calculate the lower confidence interval for the mean life of the new type of LED, we can use the formula:

Lower confidence limit = sample mean - (critical value) x (standard error)

where the standard error is the standard deviation of the sample mean, given by:

standard error = sample standard deviation / √sample size

The critical value depends on the confidence level and the degrees of freedom, which for a sample of size 9 is 8 (n-1).

For a 95% confidence level, the critical value with 8 degrees of freedom is 2.306. Substituting the given values into the formula, we get:

Lower confidence limit = 5200 - 2.306 x (150 /√9 )

= 5200 - 115.3

= 5084.7

Therefore, the lower confidence interval for the mean life of the new type of LED at a 95% confidence level is [5084.7,∞ )

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Answer:

x = 10

Step-by-step explanation:

Since KL is parallel to HI

m∠JKL = m∠JHI

m∠JLK = m∠LIH

For the two triangles JKL and JHI, we have the common angle J and two angles equal to the corresponding two angles

Therefore the triangles are similar

Ratio of the sides to the corresponding sides must be equal

Hence
\(\dfrac{JH}{JK} = \dfrac{JI}{JL}\\\)

JH = JK + KH = 28 + 20 = 48

JI = JL + JL = 14 + x

Therefore
\(\dfrac{JH}{JK} = \dfrac{JI}{JL}\\\\= > \dfrac{48}{28} = \dfrac{14 + x}{14}\)

\(\dfrac{48}{28} = \dfrac{12}{7}\)  by dividing numerator and denominator by 4

Hence

\(\dfrac{48}{28} = \dfrac{14 + x}{14}\\\\\rightarrow \quad \dfrac{12}{7} = \dfrac{14 + x}{14}\\\\\)

Multiply both sides by 14:
\(14 \cdot \dfrac{12}{7} = 14 \cdot \dfrac{14 + x}{14}\\\\2 \cdot 12 = 14 + x\\\\24 = 14 + x\\\\\text{Subtract 14 both sides:}\\\\24 - 14 = x\\\\or\\\\x = 10\\\\\)

Answer:

The slope would be 25/1 or 25.

Step-by-step explanation:

Use the formula y2-y1 over x2-x1. Or use rise over run.

Question :

(-2+1)exponent2+5(12/3)-9=

Answer:

The answer is : 12 po

Therefore, the probability that the average daily revenue of the sample is between $2450 and $2460 is approximately 0.0443 or 4.43%.

The distribution of the sample means of size n = 100 from a population with mean μ = $2500 and standard deviation σ = $300 can be approximated by a normal distribution with mean = μ = $2500 and standard deviation = σ/√n = $300/√100 = $30.

Thus, we need to find the probability that the sample mean falls between $2450 and $2460.

Z-score for $2450:

z = (2450 - 2500) / 30 = -1.67

Z-score for $2460:

z = (2460 - 2500) / 30 = -1.33

Using a standard normal distribution table or calculator, we can find the probabilities associated with these z-scores:

P(z < -1.67) = 0.0475

P(z < -1.33) = 0.0918

Therefore, the probability that the average daily revenue of the sample is between $2450 and $2460 is:

P(-1.67 < z < -1.33) = P(z < -1.33) - P(z < -1.67)

= 0.0918 - 0.0475

= 0.0443

So, the probability is approximately 0.0443 or 4.43%.

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Answer:

= -12

Step-by-step explanation:

1/3-5= -12

The first five terms of the sequence are: 1, 5/8, 25/64, 125/512, 625/4096.

The sequence converges and the limit is 8/3.

To find the first five terms of the sequence with [(1−3/8)][∞]=1, we can start by simplifying the expression in the brackets:

(1−3/8) = 5/8

So, the sequence becomes:

(5/8)ⁿ, where n starts at 0 and goes to infinity.

The first five terms of the sequence are:

(5/8)⁰ = 1
(5/8)¹ = 5/8
(5/8)² = 25/64
(5/8)³ = 125/512
(5/8)⁴ = 625/4096

To determine whether the sequence converges, we need to check if it approaches a finite value or not. In this case, we can see that the terms of the sequence are getting smaller and smaller as n increases, so the sequence does converge.

To find its limit, we can use the formula for the limit of a geometric sequence:

limit = a/(1-r)

where a is the first term of the sequence and r is the common ratio.

In this case, a = 1 and r = 5/8, so:

limit = 1/(1-5/8) = 8/3

Therefore, the limit of the sequence is 8/3.

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Answer: The answer is 23 hours

Step-by-step explanation: The question tells you that Trevon earns 11.35 dollars per hour and that his total paycheck is 261.05 dollars. To find the answer you must divide what he earns per hour (11.35) from his total paycheck (261.05).

After doing the division you will find that he worked for 23 hours

The area enclosed comes out to be 0 indicating that the two curves intersect eachother. The average value of the function f(x) = x^3 - 6x^2 + 20 over the interval [0, 5] is 5/4.

The area enclosed by the line x=y and the parabola 2x+y^2=8 can be found by determining the points of intersection between the two curves and calculating the definite integral of their difference over the interval of intersection. By solving the equations simultaneously, we find the points of intersection to be (2, 2) and (-2, -2). To find the area, we integrate the difference between the line and the parabola over the interval [-2, 2]:

Area = ∫[-2, 2] (y - x) dy

To solve the integral for the area, we have:

Area = ∫[-2, 2] (y - x) dy

Integrating with respect to y, we get:

Area = [y^2/2 - xy] evaluated from -2 to 2

Substituting the limits of integration, we have:

Area = [(2^2/2 - 2x) - ((-2)^2/2 - (-2x))]

Simplifying further:

Area = [(4/2 - 2x) - (4/2 + 2x)]

Area = [2 - 2x - 2 + 2x]

Area = 0

Therefore, the area enclosed by the line x=y and the parabola 2x+y^2=8 is 0. This indicates that the two curves intersect in such a way that the region bounded between them has no area.

To find the elevation graph of the function f(x) = x^3 - 6x^2 + 20, we plot the values of f(x) against the corresponding values of x. The graph will show how the elevation changes with horizontal distance in miles.

To find the average value of f(x) over the interval [0, 5], we calculate the definite integral of f(x) over that interval and divide it by the width of the interval:

Average value = (1/(5-0)) * ∫[0, 5] (x^3 - 6x^2 + 20) dx

To solve for the average value of the function f(x) = x^3 - 6x^2 + 20 over the interval [0, 5], we can use the formula:

Average value = (1 / (b - a)) * ∫[a, b] f(x) dx

Substituting the values into the formula, we have:

Average value = (1 / (5 - 0)) * ∫[0, 5] (x^3 - 6x^2 + 20) dx

Simplifying:

Average value = (1 / 5) * ∫[0, 5] (x^3 - 6x^2 + 20) dx

Taking the integral, we get:

Average value = (1 / 5) * [(x^4 / 4) - (2x^3) + (20x)] evaluated from 0 to 5

Substituting the limits of integration, we have:

Average value = (1 / 5) * [((5^4) / 4) - (2 * 5^3) + (20 * 5) - ((0^4) / 4) + (2 * 0^3) - (20 * 0)]

Simplifying further:

Average value = (1 / 5) * [(625 / 4) - (250) + (100) - (0 / 4) + (0) - (0)]

Average value = (1 / 5) * [(625 / 4) - (250) + (100)]

Average value = (1 / 5) * [(625 - 1000 + 400) / 4]

Average value = (1 / 5) * (25 / 4)

Average value = 25 / 20

Simplifying:

Average value = 5 / 4

Therefore, the average value of the function f(x) = x^3 - 6x^2 + 20 over the interval [0, 5] is 5/4.

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Answer:

35 Degrees

Step-by-step explanation:

Angle JKL is reffering to the whole angle. The angle is split into two, it gives us the measurement for angle 1 which is 38 degrees. To find the answer we simply subtract angle m from angle JKL. 73-38 = 35... So angle 2 is 35 degrees.

Answer:

\(1538.6mm^{3}\)

Step-by-step explanation:

\(V=\pi r^{2} h\)

\(V=3.14*7^{2} *10\)

\(V=31.4*49=1538.6\)

Nine (9) cards must be selected from the standard 52 deck to guarantee that at least three cards are chosen from the same suit.

What is the pigeon-hole approach?
According to the pigeonhole principle, at least one container must hold more than one item if n things are placed into m containers, where n > m. For instance, if one possesses three gloves but none of them are ambidextrous or reversible, then there must be at least two right-handed gloves or at least two left-handed gloves since there are three items but only two categories of handedness. It is possible to establish potentially surprising consequences using this seemingly obvious assertion, a type of counting argument.

The standard 52 deck has 4 suits of 13 cards each, thus as per n pigeons need to be extracted from p = 4 pigeon-holes; as per established literature above.
∴ [(n - 1) / p] + 1 = 3 ⇒ [(n - 1) / 4] + 1 = 3 ⇒ n - 1 = 8 ⇒ n = 8 + 1 ⇒ n = 9
Therefore, nine (9) cards must be selected from the standard 52 deck to guarantee that at least three cards are chosen from the same suit.

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The p-value for the slope rounded off to 3 decimal places, when the parameter estimate for the slope of the resistance (ohms) is 1.0187921 and the standard error is 0.158099, is 6.443.

To find the p-value, we need to divide the absolute value of the parameter estimate by the standard error. In this case, it would be:

p-value = abs(parameter estimate) / standard error
p-value = abs(1.0187921) / 0.158099
p-value = 6.443

However, the p-value is typically rounded to three decimal places, so the final answer is:
p-value = 6.443 (rounded to 3 decimal places)

The p-value for the slope can also be calculated using a statistical test called the t-test.

Complete question: The following software outputs pertain to the resistance (ohms), x, and the failure time (mins), y. the sample consisted of 24 data points.

Parameter Estimates Term Estimate Std Error t Ratio Prob>It| Intercept -5.517512 -0.89 0.3828 Resistance (ohms) 1.0187921 0.158099

What is the p-value for the slope? round your answer to 3 decimal places.

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Answer:

75

Step-by-step explanation:

Substitute 6 in for x:

12(6)+3 –––Multiply 12 by 6

72 + 3 –––Add 72 and 3

75 –––Your answer

Using simple interest we know the Total value of annual health coverage is $9000.

Borrowers must pay lenders simple interest as a fee in exchange for a loan.

Compound interest is excluded from the calculation and just the original principal is used.

Simple interest applies to all loans, not just specific ones.

Additionally, it refers to the kind of interest that banks give their customers on their savings accounts.

So, complete yearly health coverage calculation

Let x be the total annual healthcare budget.

Ruth contributes 18% of the entire cost of healthcare, or $67.50 for two weeks. (ie 15 days)

So, total paid for one month = 67.5 x 2 = 135

The total amount paid for the entire year is 135 x 12 = 1620.

She foots 18% of the overall annual health care costs, as was already established.

Then,

18% x = 1620

18 x / 100 = 1620

x = (1620 x 100) / 18

= $9000

Therefore, using simple interest we know the Total value of annual health coverage is $9000.

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Correct question:

Ruth contributes 18% of the total cost of her individual health care. This is a $67.50 deduction from each of her biweekly paychecks. What is the total value of her individual coverage for the year?

Answer:

7y^2

Step-by-step explanation:

Answer:

y = 200 + 50x

Step-by-step explanation:

y = cost

x = number of months

The cost is equal to the cost to open the plan plus the monthly fee times the number of months

y = 200 + 50x

Answer:

y = 200 + 50x

Step-by-step explanation:

the cost = the base cost plus the monthly charge ($50 per the number of months you pay it)

hope this helps (/o.o)/<3

Answer:

127.38

Step-by-step explanation:

Answer:

127.38

Step-by-step explanation:

15 x 3 = 45

(102.38 + 45) - 20 = 127.38