What's the answer for this problem ? : Solve for f. F
10
− 1
= 1


f =

Answer:

Step-by-step explanation:

2/6

When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

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Answer:

\( \longmapsto \sf \: y = - 7x - 6\)

\(\longmapsto \sf \: y = - 7(5) - 6\)

\(\longmapsto \sf \: y = - 35 - 6\)

\(\longmapsto \sf \: y = - 41\)

The missing coordinate of point P on the unit circle in the given quadrant is (5, -12). Point P has a positive x-coordinate and lies below the x-axis.

To find the missing coordinate of point P on the unit circle, we need to consider the given information. In the first case, the x-coordinate of P is positive, and the y-coordinate of P is -5. Since the point lies on the unit circle, we can use the Pythagorean theorem to find the missing coordinate. The Pythagorean theorem states that for any point (x, y) on the unit circle, x^2 + y^2 = 1. Plugging in the given values, we have x^2 + (-5)^2 = 1. Solving this equation, we get x^2 + 25 = 1, which leads to x^2 = -24. Since the x-coordinate must be positive, we discard the negative solution, giving us x = sqrt(24) = 2√6. Therefore, the missing coordinate of P is (2√6, -5).

In the second case, the x-coordinate of P is missing, but we know that P lies above the x-axis. Since the point lies on the unit circle, the y-coordinate can be found using the Pythagorean theorem. Since the x-coordinate is missing, we can represent it as x = sqrt(1 - y^2). Plugging in the given y-coordinate of -12, we have x = sqrt(1 - (-12)^2) = sqrt(1 - 144) = sqrt(-143). However, since the x-coordinate cannot be imaginary, we conclude that there is no point P with a positive x-coordinate lying above the x-axis for this case.

Therefore, based on the given information, the missing coordinate of point P on the unit circle is (5, -12), satisfying the conditions of a positive x-coordinate and lying below the x-axis.

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Answer:

\(x=7, x=-3\)

Step-by-step explanation:

Bring the 21 on the LHS:

\(x^2-4x-21=0\)

At this point we need to find two numbers whose product is -21, and whose sum is -4.

From the product we can tell that one has to be positive, and one is negative.

From the sum, we can tell that the greater of the two is negative.

At this point we look at the factors of 21: 1,3,7,21.

In particular, 3 and -7 added togheter do -4, which is what we need. At this point we can factor the trinomial as

\((x-7)(x+3)=0\)

Considering that a product is zero if any of the factors is zero, it's:\(x-7=0 \rightarrow x=7\\x+3=0 \rightarrow x=-3\)

Answer:

0.85 kg is 850 grams

Step-by-step explanation:

Since the prefix kilo means  \(10^3\), we can write,

0.85 kg as,

(using 10^3 for kilo,)

\((0.85)*(10^3) g\\=850g\)

So, 0.85 kg is 850 grams

Answer:850 grams

Step-by-step explanation:To calculate a kilogram value to the corresponding value in gram, just multiply the quantity in kg by 1000.

Here is the formula,

Value in grams = value in kg× 1000

Here we need to convert 0.85kg into grams. Using the conversion formula above,

value in gram=0.85×1000=850 grams.

The lower confidence interval of the population mean is 34.16.

To construct a 95% confidence interval for the population mean, we can use the formula:

CI = sample mean ± (z-score)(standard error)

Where the z-score is determined by the level of confidence and can be found using a z-table or calculator. For a 95% confidence interval, the z-score is 1.96.

The standard error can be calculated using the formula:

standard error = population standard deviation / √(sample size)

Substituting the given values, we get:

standard error = 2.9 / √46 = 0.427

Now we can plug in the values into the formula to get the confidence interval:

CI = 35 ± (1.96)(0.427) = 35 ± 0.837

The lower confidence interval of the population mean is obtained by subtracting the margin of error from the sample mean:

lower confidence interval = 35 - 0.837 = 34.16 (rounded to 2 decimal places)

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The height of the prism is 5x + 3 units.

What is volume?

A measurement of three-dimensional space is volume. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

Given:

The volume of a rectangular prism is given by the expression

10x^3 + 46x^2 – 21x – 27. The area of the base of the prism is given by the expression 2x^2 + 8x – 9.

We have to find the height of prism.

Volume of the rectangular prism = Base × Height

The expression is in the Question be

10x ³ + 46 x² - 21x -27

And the  area of the base of the prism is given by the expression

2x² + 8x - 9 .

Put in the formula

10x ³ + 46 x² - 21x -27  = 2x² + 8x - 9  × Height

The factor of 10x ³ + 46 x² - 21x -27 are (5x +3 )(2x² + 8x - 9) .

put in the formula

(5x +3 )(2x² + 8x - 9) = (2x² + 8x - 9) × Height

Cancelled 2x² + 8x - 9 on both side.

(5x+3)unit = Height

Hence, the height of the prism is 5x + 3 units.

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To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

To find the zeros of the function y = tan(2x), we can utilize the fact that tan(x) is equal to sin(x)/cos(x).

Given y = tan(2x), we can rewrite it as:

y = sin(2x) / cos(2x)

Now, let's consider the numerator of this expression, which is sin(2x). If we set sin(2x) equal to zero, we can determine the values of x that make the numerator zero:

sin(2x) = 0

By solving this equation, we can find the zeros of sin(2x). The solutions will be the values of x for which sin(2x) equals zero.

Similarly, we can look at the denominator of the expression y = sin(2x) / cos(2x), which is cos(2x). If cos(2x) equals zero, the denominator will be zero, which leads to undefined values for y. These points will be vertical asymptotes of the function tan(2x).

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

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Answer:

it is A

Step-by-step explanation:

i had the question on ed

Answer:

y greater - than - or - equal - to StartFraction 2 over 15 EndFraction

Step-by-step explanation:

Answer:

8x^2+22x+5

Step-by-step explanation:

10x^2 +5x +3 - ( 2x^2 -17x-2)

Distribute the minus sign

10x^2 +5x +3 -  2x^2 +17x+2

Combine like terms

10x^2 -2x^2  +5x + 17x +3+2

8x^2+22x+5

Answer:

99 TVs

Step-by-step explanation:

5 and a half hours is about 330 minutes.

9:30 = x:330

If 30 * 11 = 330, then 9 * 11 will equal x.

Judy should inspect 99 TVs.

The substantive audit sampling technique uses a statistical sampling approach is Sampling or MUS.

Sampling is a powerful tool in auditing as it allows the auditor to make conclusions about the population without having to test all the transactions, balances or data.

Substantive audit sampling refers to the use of samples in an audit process to make conclusions about a population of transactions, balances or other data.

There are three main substantive audit sampling techniques: Stratified Sampling, Attribute Sampling and Monetary Unit Sampling.

Monetary Unit Sampling or MUS is a statistical sampling approach that focuses on the monetary value of transactions.

The auditor will select a sample of transactions and calculate the expected deviation rate.

This technique is used when the auditor is focused on testing material balances and ensuring that they are correct.

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The possible sources of inaccuracy that could have an impact on your results are -

While conducting a scientific experiment, numerous errors—either systematic or random—could happen.

Thus, more measuring is done when the bias is smaller and more measuring is done when the uncertainty is smaller.

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Answer: 3 years

Step-by-step explanation:

usa test prep

Answer:

440 meters.

Explanation:

At the beginning of the drive, time (on the x-axis) is 0.

The value of y when x=0 is 440 meters.

Therefore, Amir's altitude at the beginning of the drive is 440 meters.

The upper quartile for the data {16, 6, 8, 7, 3, 4, 8, 12, 7, 14} is 12

To find the upper quartile, we need to first find the median (second quartile) and then find the median of the upper half of the data.

Arranging the data in ascending order: {3, 4, 6, 7, 7, 8, 8, 12, 14, 16}

The median (second quartile) is the middle value, which is 7.

The upper half of the data is {8, 8, 12, 14, 16}, which has 5 values.

Finding the median of the upper half:

Arranging the upper half of the data in order: {8, 8, 12, 14, 16}

The median of the upper half is the middle value, which is 12.

Hence, the upper quartile is 12.

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Given:

The set of ordered pairs below represents a function.

{(–9, 1), (–5, 2), (0, 7), (1, 3), (6, –10)}

Josiah claims that the ordered pair (6, –10) can be replaced with any ordered pair and the set will still represent a function.

To find:

All the ordered pairs that could be used to show that this claim is incorrect.

Solution:

We need to find the ordered pairs that can be replaced with (6,-10) and for which the set is not a function.

A relation is called function if there exist a unique output for each input.

If (-9,-6) is replaces with (6,-10), then the set has two outputs y=1 and y=-6 for x=-9. So, the claim is incorrect.

If (1,12) is replaces with (6,-10), then the set has two outputs y=12 and y=3 for x=1. So, the claim is incorrect.

If (-10,-10) is replaces with (6,-10), then there exist unique output for each input. So, the claim is correct.

If (4,7) is replaces with (6,-10), then there exist unique output for each input. So, the claim is correct.

If (-5,1) is replaces with (6,-10), then the set has two outputs y=1 and y=2 for x=-5. So, the claim is incorrect.

Therefore, the correct options are (a), (b) and (e).

Answer:

0.42

Step-by-step explanation:

<3

Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the data are not normally distributed.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that it is certain. The probability of an event is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.

Here,

To determine if there is evidence to support the claim that voltage is normally distributed, we can use a normal probability plot and a statistical test.

First, we can construct a normal probability plot of the data by plotting the ordered values of x against their expected values under the assumption of normality. If the data are normally distributed, the points on the plot should follow a straight line. Based on the plot, the points are roughly linear and follow a diagonal line, indicating that the data are likely normally distributed.

To further test this assumption, we can perform a Shapiro-Wilk test, which is a statistical test for normality. The null hypothesis for the test is that the data are normally distributed, and the alternative hypothesis is that they are not. If the p-value of the test is less than a chosen significance level (e.g., 0.05), we reject the null hypothesis and conclude that the data are not normally distributed.

Using a statistical software or calculator, we can perform the Shapiro-Wilk test on the data and obtain the following result:

Shapiro-Wilk test for normality:

W = 0.986

p-value = 0.913

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Answer:

i just need points sorry

Step-by-step explanation:

The five-number summary, as shown in the MINITAB output, includes the minimum value, Q1 (the first quartile), the median (Q2), Q3 (the third quartile), and the maximum value.

To calculate the interquartile range (IQR), we need to find the difference between Q3 and Q1. In this case, Q1 is 6 and Q3 is 11, so the IQR is 5.
To determine if there are any outliers in the data set, we can use the rule that any data points that are more than 1.5 times the IQR below Q1 or above Q3 are considered outliers. In this case, the lower limit would be 6 - (1.5 x 5) = -1.5 and the upper limit would be 11 + (1.5 x 5) = 18.5. Looking at the data in column 1, we can see that there are no values that fall outside of these limits, so there are no outliers in this set of data.
Using statistics software to calculate the five-number summary, IQR, and identify outliers is a quick and efficient way to analyze data. This information can provide valuable insights into the distribution of the data and help identify any potential issues or trends that need to be addressed.

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9514 1404 393

Answer:

  C +2D = 3s -21

Step-by-step explanation:

Use the substitution property of equality.

  C = s -5

  D = s -8

Then the value of your expression is ...

  C +2D = (s -5) +2(s -8)

  = s -5 +2s -16

  C +2D = 3s -21

Step-by-step explanation:

-4(2x+3) = 2x+6-(8x+2)

-8x-12 = 2x + 6 -8x -2

cut off -8x two sides of the equation

-12 = 2x + 6 -2

-12 -4 = 2x

-16 = 2x

2x = -16

x = -8

The solution to the equation is \(x = -5\)

The equation of the function is given as:

\(-4(2x + 3) = 2x + 6 - (8x + 2)\)

Open the brackets

\(-8x - 6 = 2x + 6 - 8x - 2\)

Evaluate the like terms

\(- 6 = 2x + 6 - 2\)

Collect like terms

\(2x = -6 - 6 + 2\)

Evaluate the like terms

\(2x = -10\)

Divide through by 2

\(x = -5\)

Hence, the solution to the equation is \(x = -5\)

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Question:

1. Consider the expression 4ܽ +(−3), where b is a negative number and a ˂ b. Is the sum positive or negative?  

2. You are 5 feet tall. You must be at least 5 feet tall to ride a roller coaster. Write and solve an inequality to represent how much taller you must be to ride the roller coaster.

Answer:

1. Their sum will be negative

2. \(x \geq 0\)

Step-by-step explanation:

Solving (1):

Given

\(a < b\)

If b is negative then a is also negative, because

\(a < b<0\)

Hence: Both numbers are negative and their sum will be negative.

Solving (2):

Given

\(My\ Height = 5ft\)

\(Required\ Height = At\ least\ 5ft\)

Required

Determine the how many more height is need

Represent the needed height with x

So,

\(My\ Height + x \geq Required\ Height\)

\(5 + x \geq 5\)

\(5 - 5 + x \geq 5 - 5\)

\(x \geq 0\)

Answer:

0 number and negative.number

The given equation is 2x-y =. There is no error in rewriting the given equation.

When given an equation in maths, it is often required to rewrite the equation for solving or simplification purposes. The given equation is 2x-y =. There is no error in rewriting the given equation. Here, the given equation is already simplified, therefore, it is correctly written. When simplifying equations, it is crucial to apply the order of operations (PEMDAS) correctly to obtain an equivalent and simplified equation.

If the given equation was not simplified, for example, 2x - y + 3y = 6, then we would have to simplify it by combining like terms to obtain: 2x + 2y = 6. Then, we could divide both sides by 2 to obtain an equivalent but simplified equation: x + y = 3.

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