please help me with this

Answer: 170,808,750

Step-by-step explanation: hope this helps

We are given that the inside diameter of a piston ring is a random variable with mean value 10 cm and standard deviation 0.07 cm.

We are asked to find the sampling distribution of the sample mean diameter for two different random samples of n=16 and n=64 piston rings, respectively, and to calculate the standard deviation of each sampling distribution.

The sampling distribution of the sample mean diameter is the distribution of all possible sample means that could be obtained from a given sample size n.

The central limit theorem tells us that for large enough sample sizes (typically n ≥ 30), the sampling distribution of the sample mean is approximately normal, regardless of the shape of the underlying population distribution.

The mean of the sampling distribution of the sample mean is equal to the population mean, and the standard deviation of the sampling distribution is equal to the population standard deviation divided by the square root of the sample size.

For the first random sample of n=16 piston rings, the center of the sampling distribution of the sample mean diameter is still 10 cm, as this is the population mean.

However, the standard deviation of the sampling distribution is equal to the population standard deviation of 0.07 cm divided by the square root of 16, which is 0.0175 cm. Therefore, the standard deviation of the sampling distribution of the sample mean diameter for the first random sample is 0.0175 cm.

For the second random sample of n=64 piston rings, the center of the sampling distribution of the sample mean diameter is still 10 cm, but the standard deviation of the sampling distribution is equal to the population standard deviation of 0.07 cm divided by the square root of 64, which is 0.00875 cm.

Therefore, the standard deviation of the sampling distribution of the sample mean diameter for the second random sample is 0.00875 cm.

Finally, we are asked which of the two random samples is more likely to have a sample mean diameter within 0.01 cm of 10 cm. Since the standard deviation of the sampling distribution of the sample mean decreases as the sample size increases, the second random sample of n=64 piston rings is more likely to have a sample mean diameter within 0.01 cm of 10 cm.

This is because the decreased variability of the sampling distribution means that the sample means are more tightly clustered around the population mean of 10 cm. Therefore, we can conclude that the second random sample is more precise than the first random sample.

In statistics, a random sample is a subset of a larger population that is selected in such a way that each member of the population has an equal chance of being included in the sample.

Random sampling is a crucial tool for drawing conclusions about a population based on a smaller subset of data. In this problem, we will explore the sampling distribution of the sample mean for two different random samples of piston rings.

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Answer:

Step-by-step explanation:

step one:

given

ABC Plumbing charges

flat fee=$50

charge per hour= $35------------------i want to assume you meant $35 and not $535

Pipes R Us charges

flat fee=$75

charge per hour= $25

Let the number of hours be x

the equation for the charges is given bellow

y=35x+50----------1

y=25x+75-----------2

equating 1 and 2

35x+50=25x+75

35x-25x=75-50

10x=20

divide both sides by 10

x=20/10

x=2 hours

2 hours

Answer:

7000

Step-by-step explanation:

The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:

d = √((x2 - x1)² + (y2 - y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:

d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1

Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

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The case fatality rate is 400 * 100 / 1500 = 26.67 (option d).

For the first scenario, the data determine that there is a difference in average expenditure between the two countries (option c). The P-value of 0.063 suggests that there is a moderate level of statistical significance, indicating that the difference in average expenditure is likely not due to random chance.

In the second scenario, the fact that the 95% confidence interval for the average number of times participants saw their provider per year (3.3) ranges from 0.1 to 6.1 is of statistical use because it provides a range estimate within which the true population means is likely to fall. This interval helps account for the uncertainty associated with the sample estimate and provides a measure of the precision of the estimate (option a).

For the third scenario, the average operating margin is appropriate to use because it is a measure of central tendency that represents the typical financial performance of rural hospitals. The standard deviation provides information about the variability of the operating margins (option d).

In the fourth scenario, the consideration factor that will ultimately contribute to the spread of Ebola is the population density of the affected area (option b). While factors like the influence of non-indigenous people and climatic conditions may play a role, population density is a key determinant in the transmission and spread of infectious diseases.

For the fifth scenario, the case fatality rate is calculated by dividing the number of deaths from the disease (400) by the total reported cases (1500) and multiplying by 100. Therefore, the correct calculation is 400 * 100 / 1500 = 26.67 (option d). This indicates that the case fatality rate is approximately 26.67%.

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Answer:

2nd no is corret

Step-by-step explanation:

as altitude is defined as a st. line meeting its base forming 90degree angle.

Answer:

I think the second answer, JH is an altitude of GJI, is the correct answer.

Step-by-step explanation:

Having JH be an altitude of GJI means that it makes a 90 degree angle. And to prove that it's a 90 degree angle we look at where it has the little squares. The squares represent 90 degrees.

Hope this helps!

Answer:

0.52, 0.5724, 61.24%, 25/36

Step-by-step explanation:

I need brainliest pls

Given the length of the pencil, the length of the marker is 130.8 millimeters.

Percentage can be described as a fraction of an amount expressed as a number out of hundred. Percentages are represented %.

Length of the marker = (1 + percentage) x length of the pencil

(1.09) x 120 = 130.8 millimeters

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Answer:     9 • 10⁵

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

Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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Answer:

x = 4

Step-by-step explanation:

Original Problem: 2x + 1 = -4x +9

1. Subtract 1 from both sides

-2x+1-1=-4x+9-1

2. Simplify

-2x=-4x+8

3. Add 4x to both sides

-2x+4x=-4x+8+4x

4. Simplify

2x=8

5. Divide both sides by 2

2x/2 = 8/2

Answer: x = 4

Answer:

Mac is 19 years old, Joe is 11 years old

Step-by-step explanation:

2J - 3 = M

J + M = 30

M = 30 - J

2J - 3 = 30 - J

3J = 33

J = 11

M = 30 - 11

M = 19

Answer:

Step-by-step explanation:43₊68=111

Hello there!

The answer is

51.5

I hope it helps you! :)

Your friend, \(GraceRosalia\)

Please mark Brainliest! I would really appreciate it! :)

Answer:

i dont now but i thin it is 5

Step-by-step explanation:

The length of EC is given as follows:

EC = 70 feet.

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

For the angle of 83º, we have that:

Hence we apply the tangent ratio to obtain the length of EC as follows:

tan(83º) = EC/8.6

EC = 8.6 x tangent of 83 degrees

EC = 70 feet.

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Answer:

last option is correct

Step-by-step explanation:

(a-9)(a+9)

a(a+9)-9(a+9)

a^2+9a-9a-81  (plus 9a and minus -9a gets cancel)

a^2-81

a^2-9^2

Answer:

\(a^2-81\)

Step-by-step explanation:

\((a-9)(a+9)\)

Distribute, multiply everything in one of the parenthesis by everything in the other parenthesis,

\((a - 9)(a + 9)\\\\(a)(a)+(-9)(a)+(9)(a)+(-9)(9)\)

Simplify, perform the multiplication and combine like terms,

\(a^2-9a+9a-81\\\\a^2-81\)

Answer:

If it starts high up and declines, the value is NEGATIVE. If it starts low and increases, the value is POSITIVE. The more clumped up data is, the STRONGER the correlation (closer to 1 or -1)

Data Set A: -0.9692

Data Set B: 0.8740

Data Set C: -0.8711

Data Set D: 0.9590

Data Set E: -0.1479

Answer:

x²+8x+15

doing middle term factorization

x²+5x+3x+15

x(x+5)+3(x+5)

(x+5)(x+2) is your answer

Answer:

( x + 3 ) ( x + 5 )

Step-by-step explanation:

Hope this helps !

Answer:

-7

Step-by-step explanation:

The Solution:

Given:

We are required to find the key features of the given function.

Below is the graph of the function:

Thus, the correct answers are:

The x-intercepts are:

The area of the parallelogram is 44 square units whose vertices are (0,0), (5,6), (9,2), (14,8).

The vertices are (0, 0), (5, 6), (9, 2), (14, 8).

Let A = (0, 0), B = (5, 6), C = (9, 2), D = (14, 8).

The area of the triangle ABC = 1/2|x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)|

Substitute the value.

The area of the triangle ABC = 1/2|0(6 - 2) + 5( 2 - 0) + 9(0 - 6)|

The area of the triangle ABC = 1/2|0 + 10 - 54|

The area of the triangle ABC = 1/2|-44|

The area of the triangle ABC = |-22|

The area of the triangle ABC = 22

So the area of the parallelogram = 2 × 22

The area of the parallelogram = 44 square units.

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The complete question is:

Find the area of the parallelogram whose vertices are listed. (0,0), (5,6), (9,2), (14,8).

Answer:

X=-9

Step-by-step explanation:

Answer:

75 Times 2 Minus 3 Equals X

Step-by-step explanation:

75 x 2 = 150

150-3 = 147

X=147.

The average acceleration of the object over the interval from t=0 to t=2 s is -10 m/s².

To find the average acceleration, we need to calculate the change in velocity over the given time interval and divide it by the total time. The velocity of the object is the derivative of its position with respect to time.

Given that the position function of the object is x = 4t² - 3t³, we can find its velocity function by taking the derivative of x with respect to t:

v = d/dt (4t² - 3t³) = 8t - 9t²

Now, we can calculate the change in velocity over the interval from t=0 to t=2 s:

Δv = v(2) - v(0) = (8(2) - 9(2)²) - (8(0) - 9(0)²) = (16 - 36) - (0 - 0) = -20 m/s

The average acceleration, a_avg, is obtained by dividing the change in velocity by the total time interval:

a_avg = Δv / Δt = -20 m/s / (2 s - 0 s) = -10 m/s²

Therefore, the average acceleration of the object over the interval from t=0 to t=2 s is -10 m/s².

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Answer:

a) √80 ≈ 9

b) √27 ≈ 5

c) √110 ≈ 10

d) √0.03 ≈ 0.2

e) √0.12 ≈ 0.3

Step-by-step explanation:

80 is close to 81

Therefore, √80 can be estimated as √81

√81 = 9

\(\Large\boxed{\sqrt{80}\approx9 }\)

27 is close to 25

Therefore, √27 can be estimated as √25

√25 = 5

\(\Large\boxed{\sqrt{27}\approx5 }\)

110 is close to 100

Therefore, √110 can be estimated as √100

√100 = 10

\(\Large\boxed{\sqrt{110}\approx10 }\)

0.03 is close to 0.04

Therefore, √0.03 can be estimated as √0.04

√0.04 = 0.2

\(\Large\boxed{\sqrt{0.03}\approx0.2 }\)

0.12 is close to 0.09

Therefore, √0.12 can be estimated as √0.09

√0.09 = 0.3

\(\Large\boxed{\sqrt{0.12}\approx0.3 }\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x=3 and y=5

Step-by-step explanation:

Substitute 2x-1 into y=-3x+14, solve that equation to get x=3 and then subsitute x=3 into 2x-1 to get 5

Hope this helps. :)

Answer:

x = 2, y = 5

Step-by-step explanation:

y =   2x − 1

y = −3x + 14

<=>

3*y = 3*(2x) - 3*(1)

2*y = 2*(-3x) + 2*(14)

<=>

3y =  6x - 3

2y = -6x + 28

From here, by adding up these 2 equations (left side + left side, right side + right side), you have:

5y = 25

=> y = 5

=> 5 = 2x - 1 => x = 2