Suppose M is the midpoint of FG. Find the missing measure FM = 3x - 4, MG = 5x - 26

The probability that, in a random sample of 6 parts produced by this machine, exactly 1 is defective is 0.371.

In this case, we have n = 6 (the number of parts) and p = 0.13 (the probability of producing a defective part). We want to find the probability of exactly 1 defective part, so k = 1.

Plugging in the values into the formula, we get:

P(X = 1) = C(6, 1) * 0.13 * (1 - 0.13)⁵

= 6 * 0.13 * 0.87⁵

Calculating this expression:

P(X = 1) ≈ 0.371

Therefore, the probability that, in a random sample of 6 parts produced by this machine, exactly 1 is defective is approximately 0.371

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At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 13% of the time. If this percentage is correct, what is the probability that, in a random sample of 6 parts produced by this machine, exactly 1 is defective?

Round your answer to three decimal places.

Answer:

-5n - 16

Step-by-step explanation:

Step 1: Distribute the negative sign.

Step 2: Combine like terms.

Therefore, the answer is -5n - 16.

The most realistic value for the standard deviation is d) 4.

Since adult weights follow a bell-shaped distribution, we can assume a normal distribution. We know the range is from 55 to 80 pounds with a mean of 66 pounds. The standard deviation determines how spread out the data is from the mean. If the distribution is more spread out, then the standard deviation will be higher. Given the range of weights, a standard deviation of 4 seems like a reasonable value as it would allow for some variability in the weights while keeping them within the observed range. Values such as 100 billion or even 45 would not be realistic as they are too large and would imply a highly variable and skewed distribution.

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Answer:

w

Step-by-step explanation:

Answer: I can see the page it say file is deleted

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P(z ≤ 0. 82)  or p-value corresponding to z ≤ 0. 82 comes to be approximately 80%.

Z-score indicates how much a given value differs from the standard deviation.

\(z=\frac{x-\mu}{\sigma}\)

Where \(\mu\) = mean

\(\sigma\)=standard deviation

P(z ≤ 0. 82) means the p-value corresponding to z≤ 0. 82.

From the standard normal table

P(z ≤ 0. 82) ≈80%.

Hence, P(z ≤ 0. 82)  or p-value corresponding to z ≤ 0. 82 comes to be approximately 80%.

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Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.

supporting answer:

what is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

body of the answer:

let us understand long multiplication by taking an example

     6.Add the two partial products

final answer: by following above steps we can perform long multiplication

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Long multiplication is a method of multiplying two difficult-to-multiply numbers.

What is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

Let us understand long multiplication by taking an example

1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.

2. Multiply the top number's one digit by the bottom number's one digit.

3. Put a 0 below the one's digit,

4. Multiply the top number's ones digit by the bottom number's tens digit.

5. Multiply the top number's tens digit by the bottom number's tens digit.

6. Add the two partial products

By following the above steps we can perform long multiplication

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a). We have proved all the given conditions.

b). It is true that condition 3 holds for all regular languages L1 and L2.

(a) Regular languages L1 and L2 can be suggested as follows:

Let \(L_1={0^{(n+1)} | n\geq 0}\)

and

\(L_2={1^{(n+1)} | n\geq 0}\)

We have to prove three conditions:1. L1 ⊈ L2:

The given languages L1 and L2 both are regular but L1 does not contain any string that starts with 1.

Therefore, L1 and L2 are distinct.2. L2  L1:

The given languages L1 and L2 both are regular but L2 does not contain any string that starts with 0.

Therefore, L2 and L1 are distinct.3. (L1 ∪ L2)* = L1* ∪ L2*:

For proving this condition, we need to prove two things:

First, we need to prove that (L1 ∪ L2)* ⊆ L1* ∪ L2*.

It is clear that every string in L1* or L2* belongs to (L1 ∪ L2)*.

Thus, we have L1* ⊆ (L1 ∪ L2)* and L2* ⊆ (L1 ∪ L2)*.

Therefore, L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Second, we need to prove that L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Every string that belongs to L1* or L2* also belongs to (L1 ∪ L2)*.

Thus, we have L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Therefore, (L1 ∪ L2)* = L1* ∪ L2*.

Therefore, we have proved all the given conditions.

(b)It is true that condition 3 holds for all regular languages L1 and L2.

This can be proved by using the fact that the union of regular languages is also a regular language and the Kleene star of a regular language is also a regular language.

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Answer:

\(Q(x) = x -11\)

Explanation:

Please refer to the attached image for the Solution

After solving for the angles, the resultant answers are as follows:
(A) ∠L = 55°

(B) ∠LMN = 62°

When two consecutive lines or rays intersect at a single endpoint, an angle is created.

The vertex of an angle is the point where two points come together.

The Latin word "angulus," which means "corner," is from which the term "angle" originates.

The intersection of two planes also creates angles.

We refer to these as geometric angles.

So, according to the given diagram:

KMN = LMN + 118

180 = LMN + 118

LMN = 180 - 118

LMN = 62°

Now,

6x - 9 + 4x + 7 + 62 = 180

10x + 60 = 180

10x = 180 - 60

10x = 120

x = 120/10

x = 12

Then,

∠L = 4x + 7

∠L = 4*12 + 7

∠L = 55°

Therefore, after solving for the angles, the resultant answers are as follows:
(A) ∠L = 55°

(B) ∠LMN = 62°

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Seraphina's speed has increased by a factor of around 23% compared to the first hour.

What Is a Change in Percentage?

The ratio of the difference in the amount to its starting value multiplied by 100 is known as the percentage change. When a number's final value is determined by increasing or decreasing a percentage of its starting value, the percentage change of that quantity will always change.

How can you determine the percentage to the closest tenth?

Rounding to the closest tenth entails adding one integer after the decimal point. The number in the thousandths place, or the second number from the right of the decimal, must be considered while rounding. If the amount is five or more, we add one percent to the number in the tenth position.

Percent Change Formula = \(\frac{ (Final value -Initial value)}{ (Initial value)}\)× 100

Percent Change               = \(\frac{(74-60)}{60}\)× 100

…                                     = \(\frac{14}{60}\) × 100

...                                     ≈ 0.23333 × 100

Percent Change             ≈ 23.33%

The pace of Seraphina increased by around 23% in the second hour compared to the first.

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The overall shape of the distribution of soldiers' foot lengths was likely symmetric or approximately bell-shaped.

The distribution of soldiers' foot lengths can be described as symmetric or bell-shaped. The majority of foot lengths cluster around the center, with fewer foot lengths deviating significantly. The center of the distribution, representing the average foot length, can be determined using the mean.

Analyzing the shape through a histogram or box plot helps identify symmetry. A symmetric shape with a peak in the middle and evenly tapering tails indicates a bell-shaped distribution.

Understanding the distribution's shape and center allows us to infer the overall characteristics of the soldiers' foot lengths.

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Answer:

1 and 3 are true

Step-by-step explanation:

The data were collected using random assignment since the 60 golfers were randomly assigned to treatment groups, so statement 1 is true. It was not indicated that the 60 golfers in the sample were randomly selected, so statement 2 is not true. The distribution will be approximately normal since each group size is large enough, so statement 3 is true.

The data were collected using random assignment since golfers were randomly assigned to treatment groups, so option 1 is true.

Random sampling is the method of selecting the subset from the set to make a statical inference.

An experiment was conducted to determine whether the price of a golf club affected the distance a golfer could hit a golf ball.

A sample of 60 golfers was randomly assigned to one of two groups.

Cor E The 30 golfers in the group were given a club and told the price of the club was cheap the 30 golfers in group E were given the same club told the price of the club was an expensive reality there was no difference in price.

The golfers used their assigned clubs to hit a golf ball as far as they could The distance, in yards, that each golfer hit the golf ball was recorded.

The data were collected using random assignment since golfers were randomly assigned to treatment groups, so option 1 is true.

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Therefore, there are 4 vertices in this graph.

Let V be the number of vertices in the graph. The sum of the degrees of all vertices in an undirected graph is twice the number of edges, so in this case, the sum of degrees is 2 * 10 = 20.

We know that two vertices have degree 4, so the degrees of the remaining vertices must add up to 20 - 2 * 4 = 12.

If there are v vertices of degree 3, then the total degree contributed by those vertices is 3v, so we have:

3v + 2 * 4 = 20

3v = 12

v = 4

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The relation 2 represents a function.

In order to determine which relation in the below table represents a function, we need to first understand what a function is.A function is a relationship in which each input value corresponds to exactly one output value.

To put it another way, each x-value has one and only one y-value. The most typical method to determine whether a relation is a function is to use the vertical line test.

The vertical line test is a way to determine if a relation is a function graphically. To test if a graph is a function, we draw a vertical line through each x-value on the graph. If a vertical line crosses the graph more than once, it is not a function.

If, on the other hand, the graph passes the vertical line test and no vertical line crosses the graph more than once, it is a function.Now let's look at the table below to determine which relation is a function.

We will first plot the x and y values of each relation on a coordinate system and then apply the vertical line test to each relation.

Relation 1: x | y0 | 10 | 11 | 22 | 23 | 34 | 35 | 4Relation 1 does not represent a function since we can draw a vertical line through x = 3 and the line will cross the graph more than once.

Relation 2: x | y2 | 33 | 34 | 45 | 46 | 57 | 5Relation 2 represents a function since we can draw a vertical line through each x-value on the graph and it will only cross the graph once.

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Regarding the graphs of the functions \(h(x) = x^2 - 4\) and \(g(x) = (x - 4)^2,\) the following statements are true:

The vertex of the graph of h(x) is located at (0, -4), while the vertex of the graph of g(x) is located at (4, 0).

The vertex represents the minimum or maximum point of the parabola.

The graph of h(x) opens upwards, indicating a positive coefficient for the \(x^2\)  term, while the graph of g(x) also opens upwards due to the positive coefficient of the squared term \((x - 4)^2.\)

The graph of h(x) intersects the x-axis at x = -2 and x = 2, indicating the solutions to the equation \(x^2 - 4 = 0.\)

On the other hand, the graph of g(x) intersects the x-axis at x = 4, representing the solution to the equation \((x - 4)^2 = 0.\)

It's important to note that the graph of h(x) is a standard quadratic function, while the graph of g(x) is a quadratic function with a horizontal shift of 4 units to the right.

The differences in their vertex, x-intercepts, and shape indicate these variations between the two functions.

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Total 20 number cases should the manager order each month to server an average of 240 vashes of flowers.

Manager of a flower shop determines that an average of 240 vases of flowers is sold each month.

3 cases contain 36 vases.

so 1 case will contain 36/3 vases.

1 case will contain  = 12 vases.

How many cases of vases should the manager order each month.

Given is that 240 vashes of flowers each month is sold.

according to 12 vashes per case we need 20  cases to cover 240 vashes of flowers each month.

12* 20  = 240.

We need 20 cases here.

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For a continuous random variable x, the probability of x taking on a specific value a is zero. This is due to the infinite number of possible values that x can take on within its range.

In the case of a continuous random variable, the probability density function (PDF) describes the likelihood of x taking on different values. Unlike discrete random variables, which can only take on specific values with non-zero probabilities, a continuous random variable can take on an infinite number of values within a given range. Therefore, the probability of x being equal to any specific value, such as a, is infinitesimally small, or mathematically speaking, it is equal to zero.

To understand this concept, consider a simple example of a continuous random variable like the height of individuals in a population. The height can take on any value within a certain range, such as between 150 cm and 200 cm. The probability of an individual having exactly a height of, say, 175 cm is extremely low, as there are infinitely many possible heights between 150 cm and 200 cm.

Instead, the probability is associated with ranges or intervals of values. For example, the probability of an individual's height being between 170 cm and 180 cm might be nonzero and can be calculated using integration over that interval. However, the probability of having an exact height of 175 cm, as a single point on the continuous scale, is zero.

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Answer:

Step-by-step explanation:

Givens

Number of baskets sold = 83575

sale price of each = x

Fixed Cost of producing these baskets = 817363.50

Variable cost whis is part of the production of each basket = 12.17

Break Even means the costs = income.

Equation

83575*x = 12.17*83575 + 817363.50       Combine the multiplied facts

Solution

83575x = 1017107.75 + 817363.50          Combine addition on right

83575x = 1834471.25                               Divide by 83575

x = 1834471.25/83575

Answer: x = 21.95

The 14.9% increase in Sylvia's lead lathe tech's hourly wage of $18.50 results in a $2.75 per hour increase. Assuming the lead lathe tech works 2,080 hours per year, the additional cost to Sylvia's annual wages budget would be approximately $5,720, excluding benefits or taxes.

First, we need to find the percentage increase in the lead lathe tech's hourly wage. The increase requested is $2.75, which is 14.9% of the current wage rate ($18.50). To calculate the percentage increase, we divide the increase by the current wage rate and multiply by 100: ($2.75 / $18.50) * 100 ≈ 14.9%.

To determine the additional cost to Sylvia's annual wages budget, we need to know the total number of hours worked by the lead lathe tech in a year. Let's assume the lead lathe tech works 40 hours per week and there are 52 weeks in a year, resulting in a total of 2,080 hours.

To calculate the annual cost of the wage increase, we multiply the hourly increase ($2.75) by the total number of hours worked (2,080): $2.75 * 2,080 ≈ $5,720.

Therefore, the 14.9% increase in the lead lathe tech's hourly wage will cost Sylvia an additional $5,720 in her annual wages budget, excluding benefits or taxes.

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Answer:

you are right

Step-by-step explanation:

Answer:

3 and - 10

Step-by-step explanation:

(a)

when x = 0 in the interval x ≤ 0 then y = \(\frac{3}{2}\) x + 3 , so

y = \(\frac{3}{2}\) (0) + 3 = 0 + 3 = 3

when x = 0, the value of the function is 3

(b)

when x = 5 in the interval x > 0 then y = - 2x , so

y = - 2(5) = - 10

when x = 5 the value of the function is - 10

Answer: a. when x=0, the value of the function is 3

              b. when x=5, the value of the function is -10

Step-by-step explanation:

\(\displaystyle\\y=\left \{ {{\frac{3}{2}x+3,\ if\ x\leq 0 } \atop {-2x,\ if\ x > 0}} \right.\)

\(\displaystyle\\x=0\\\\Hence,\\\\y=\frac{3}{2} (0)+3\\\\y=0+3\\\\y=3\)

\(x=5\\\\Hence,\\\\y=-2(5)\\\\y=-10\)

Answer:

18.75%

Step-by-step explanation:

Green beans = 160 pounds

Amount sold in 1 hour = 10 pounds

Amount sold in 3 hours = 3x10= 30 pounds

Decrease in 3 hours = 30 pounds

% decrease = (30/160) x 100

=300/16

=75/4

=18.75%

Answer:

d=10

Step-by-step explanation:

i hoped this helps

Answer:

15 dimes

Step-by-step explanation:

The equation 4/5d - 5 = 3/5d - 2 Represents the number of dimes, d, in a stack how many dimes are in the stack?

You are asked to solve for d:

4/5d - 5 = 3/5d - 2

subtract 3/5d from both sides:

4/5d - 5 - 3/5d = 3/5d - 2 - 3/5d

1/5d - 5 = -2

add 5 to both sides:

1/5d - 5 + 5 = -2 + 5

1/5d = 3

multiply both sides by 5:

5(1/5d) = 3(5)

d = 15

\( 7.9 \\ 11.94 \\ 12.58 \\ - - - - - \\ 32.04\)

u gotta add them since they asked about their cost in all

The minimum possible value of f(5) - f(3) is 6, and the maximum possible value of f(5) - f(3) is 10.

The minimum and maximum possible values of f(5) - f(3) can be found by using the given information about the derivative f'(x). We are given that 3 ≤ f'(x) ≤ 5 for all values of x. To find the minimum and maximum values of f(5) - f(3), we will integrate the bounds of f'(x) from x = 3 to x = 5.

Step 1: Integrate the lower bound of f'(x) with respect to x from 3 to 5:

∫(3)dx from 3 to 5 = 3(x)| from 3 to 5 = 3(5) - 3(3) = 15 - 9 = 6

Step 2: Integrate the upper bound of f'(x) with respect to x from 3 to 5:

∫(5)dx from 3 to 5 = 5(x)| from 3 to 5 = 5(5) - 5(3) = 25 - 15 = 10

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Answer:

3a-24=1

Step-by-step explanation:

Multiplay both side by 4

4(3/4a - 6) = 4(1/4)

3a-24=1

The standard deviation (σ) of this discrete random variable X is 6 dollars.

In Mathematics and statistics, an expected value is sometimes referred to as the long-term mean (average) of a discrete random variable, E(X) and it can be calculated by taking the weighted average of all the outcomes of the discrete random variable with respect to their probabilities.

In this context, we can logically deduce that the expected value (mean) is given by µₓ is equal to $6.

Based on the probability distribution table (see attachment), we would determine the variance of this discrete random variable X as follows;

Variance (X) = (-12 - 6)²(0.1) + (8 - 6)²(0.9)

Variance (X) = 36

Now, we can determine the standard deviation (σ) of this discrete random variable X is;

Variance (X) = σ²

σX = √36

σX = $6

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

A

Step-by-step explanation:

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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