Help i don’t know the answer???

The probability that the diameter of a selected bearing is greater than 123 millimeters is 0.4641 (rounded to four decimal places).Hence, the correct option is A) 0.4641.

The given question is asking to find the probability that the diameter of a selected bearing is greater than 123 millimeters, when the diameters of ball bearings are distributed normally with the mean diameter of 126 millimeters and the standard deviation of 33 millimeters.

Given, Mean diameter, µ = 126 millimeters

Standard deviation, σ = 33 millimeters

We need to find the probability that the diameter of a selected bearing is greater than 123 millimeters.

Now, the given distribution is a normal distribution. Therefore, to solve the problem, we will use the z-distribution formula, which is:

z = (x - µ) / σ,

where x is the value of the variable, µ is the mean, and σ is the standard deviation.

We will substitute the given values in the above formula,

z = (x - µ) / σ=> z = (123 - 126) / 33=> z = -0.09

Using a standard normal distribution table, the probability that z is greater than -0.09 is 0.4641, which

(z > -0.09) = 0.4641

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The recommended rule to sequence the jobs for minimum flow time is the EDD (Earliest Due Date) rule.

The EDD rule prioritizes jobs based on their due dates, where jobs with earlier due dates are given higher priority. By sequencing the jobs in order of their due dates, the goal is to minimize the total flow time, which is the sum of the time it takes to complete each job.

In this case, applying the EDD rule, the sequence of jobs would be as follows:

D (Due on Friday 10th June)

F (Due on Tuesday 14th June)

E (Due on Wednesday 15th June)

C (Due on Friday 17th June)

G (Due on Thursday 16th June)

H (Due on Saturday 18th June)

A (Due on Monday 13th June)

B (Due on Monday 20th June)

By following the EDD rule, we aim to complete the jobs with earlier due dates first, minimizing the flow time and ensuring timely delivery of the orders.

Therefore, the recommended rule for sequencing the jobs in this scenario is the EDD (Earliest Due Date) rule.

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Step-by-step explanation:

if you're calculating the area of that shape?

first, you calculate the area of triangle

Area of triangle =1/2(8-(-4))(9-5)=1/2(12)(4)=6×4=24

Area of rectangle =(8-(-4))(5-(-5))=(12)(10)=120

the total area will be 120+24=144

Answer:

An apportionment is the allocation of a loss between all of the insurance companies that insure a piece of property. This allocation is used to determine a percentage of liability for each insurer.

I'm new here! Sorry if this didn't help

The equation's answer is x = 7.5. 4x - 1 2 = x + 7.

x = 1 is the answer to the problem 3x + 2 = (2x + 13) 3.

a) To solve the equation 4x - 1 ÷ 2 = x + 7, we need to isolate the variable x. Let's follow the steps:

1: Distribute the division operation to the terms inside the parentheses.

  (4x - 1) ÷ 2 = x + 7

2: Divide both sides of the equation by 2 to isolate (4x - 1) on the left side.

  (4x - 1) ÷ 2 = x + 7

  4x - 1 = 2(x + 7)

3: Distribute 2 to terms inside the parentheses.

  4x - 1 = 2x + 14

4: Subtract 2x from both sides of the equation to isolate the x term on one side.

  4x - 1 - 2x = 2x + 14 - 2x

  2x - 1 = 14

5: Add 1 to both sides of the equation to isolate the x term.

  2x - 1 + 1 = 14 + 1

  2x = 15

6: Divide both sides of the equation by 2 to solve for x.

  (2x) ÷ 2 = 15 ÷ 2

  x = 7.5

Therefore, x = 7.5 is the solution to the equation 4x - 1 ÷ 2 = x + 7. However, note that this answer is not an integer, so it may not be valid for certain contexts.

b) To solve the equation 3x + 2 = (2x + 13) ÷ 3, we can follow these steps:

1: Distribute the division operation to the terms inside the parentheses.

  3x + 2 = (2x + 13) ÷ 3

2: Multiply both sides of the equation by 3 to remove the division operation.

  3(3x + 2) = 3((2x + 13) ÷ 3)

  9x + 6 = 2x + 13

3: Subtract 2x from both sides of the equation to isolate the x term.

  9x + 6 - 2x = 2x + 13 - 2x

  7x + 6 = 13

4: Subtract 6 from both sides of the equation.

  7x + 6 - 6 = 13 - 6

  7x = 7

5: Divide both sides of the equation by 7 to solve for x.

  (7x) ÷ 7 = 7 ÷ 7

  x = 1

Hence, x = 1 is the solution to the equation 3x + 2 = (2x + 13) ÷ 3.

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Scarlett was charged $33 when she received her bill at the restaurant. She chose to tip 26% for the service she received. She must multiply the bill amount by 0.26 to determine the tip.

Tip = 0.26 x $33 = $8.58 Thus the total cost of the dinner plus the tip is: Total = $33 + $8.58 = $41.58  before tax for the lunch and tip. It should be noted that tax is not included in this computation. The tip amount may be calculated by multiplying the meal cost by the tip percentage: Tipping rate = 33 * 0.26 = 8.58 Therefore the entire cost of the lunch, including the tip, is: Cost total = 33 + 8.58 = 41.58 As a result, Scarlett's lunch plus tip, before tax, was $41.58.Scarlett was charged $33 when she received her bill at the restaurant. She chose to tip 26% for the service she received. She must multiply the bill amount by 0.26 to determine the tip: Tip = 0.26 x $33 = $8.58 Thus the total cost of the dinner plus the tip is: Total = $33 + $8.58 = $41.58  before tax for the lunch and tip. It should be noted that tax is not included in this computation. The tip amount may be calculated by multiplying the meal cost by the tip percentage: Tipping rate = 33 * 0.26 = 8.58 Therefore the entire cost of the lunch, including the tip, is Cost total = 33 + 8.58 = 41.58 As a result, Scarlett's lunch plus tip, before tax, was $41.58.Scarlett was charged $33 when she received her bill at the restaurant. She chose to tip 26% for the service she received. She must multiply the bill amount by 0.26 to determine the tip. Tip = 0.26 x $33 = $8.58 Thus the total cost of the dinner plus the tip is: Total = $33 + $8.58 = $41.58.

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Answer:

ahhhhhhhhhhhh

Step-by-step explanation:

hgyftdrseaSADFERTYUFDRES

Answer:

box plot

Step-by-step explanation:

Answer: 1/6

Step-by-step explanation:

A die has 6 numbers which are 1, 2, 3, 4, 5 and 6.

Odd numbers in a die = 1, 3 and 6

Numbers greater than 4 = 5 and 6

Probability of rolling an odd number = 3/6 = 1/2

Probability of rolling a number greater than 4 = 2/6 = 1/3

We then multiply both values gotten. This will be:

= 1/2 × 1/3

= 1/6

Therefore, the probability of rolling an odd number the first time and a number greater than 4 the second time is 1/6.

The probability of rolling an  odd number the first time and a number greater than 4 the second time is 1/6

The sample space of a single die is

\(\mathbf{S = \{1,2,3,4,5,6\}}\)

So, the total sample is 6

The odd numbers are

\(\mathbf{Odd = \{1,3,5\}}\) --- 3 odd numbers.

So, the probability of selecting an odd number is:

\(\mathbf{P(Odd) = \frac 36}\)

Simplify

\(\mathbf{P(Odd) = \frac 12}\)

The numbers greater than 4 are

\(\mathbf{Greater = \{5,6\}}\) --- 2 numbers greater than 4.

So, the probability of selecting a number greater than 4 is:

\(\mathbf{P(Greater) = \frac 26}\)

Simplify

\(\mathbf{P(Greater) = \frac 13}\)

The probability of rolling an  odd number the first time and a number greater than 4 the second time is calculated as follows:

\(\mathbf{P = P(Odd) \times P(Greater)}\)

So, we have:

\(\mathbf{P = \frac 12 \times \frac 13}\)

\(\mathbf{P = \frac 16}\)

Hence, the probability is 1/6

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Answer:

3/4

Step-by-step explanation:

multiply each fraction by 100 or you could find the LCM

The statement "The integral ∫(ln(x))/x dx from 0 to 1 is divergent" is true.

To determine if the improper integral ∫(ln(x))/x dx from 0 to 1 converges or diverges, we can analyze the behavior of the integrand near the endpoints.

Near x = 0:

As x approaches 0, ln(x) goes to negative infinity, and since we have ln(x) in the numerator, the integrand approaches negative infinity. However, the denominator x approaches 0 more rapidly, so the overall expression approaches positive infinity. Therefore, the integrand does not converge as x approaches 0.

Near x = 1:

As x approaches 1, ln(x) approaches 0, and the denominator x also approaches 1. Therefore, the integrand approaches 0 as x approaches 1.

Based on the behavior of the integrand near the endpoints, the improper integral \(\int_0^1 (ln(x))/x dx\) is divergent and it diverges towards positive infinity (∞).

The complete question is:

Consider the integral integrate \(\int_0^1 (ln(x))/x dx\)

Determine if the above improper integral converges or diverges. If the integral converges, then determine the exact value of the integral. If the integral diverges, then indicated that the integral diverges towards -∞ or ∞.

Which of the following is true?

a) The integral integrate \(\int_0^1 (ln(x))/x dx\) convergent.

b) The integral integrate \(\int_0^1 (ln(x))/x dx\) divergent.

c) The integral integrate \(\int_0^1 (ln(x))/x dx\) neither convergent nor divergent.

If the integral converges, then determine the exact value of the integral. If the integral diverges, then indicated that the integral diverges towards -∞ or ∞.

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The expression (xmynzp)q can be written as xq * yq * zq * p*q, where each base is raised to the power of q.

To simplify the expression (xmynzp)q, we can apply the exponent rules. According to the rule (ab)c = aᶜ * bᶜ, we can distribute the exponent q to each term inside the parentheses.

Starting with the expression (xmynzp), we raise each variable to the power of q:

(xmynzp)q = xq * yq * zq * p*q

This means that each base, x, y, z, and p, is raised to the power of q.

The result of simplifying the expression (xmynzp)q is xq * yq * zq * p*q. Each base is raised to the power of q, and the product of these terms gives the final simplified expression.

Therefore, we have simplified the expression (xmynzp)q to xq * yq * zq * p*q.

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E. Poisson.  The Poisson distribution is the limit of a Hypergeometric distribution as the population size increases to infinity while keeping the ratio of the population size to the sample size constant.

This is known as the Poisson approximation to the Hypergeometric distribution.

The Hypergeometric distribution models the probability of successes in a finite population without replacement. It is used when sampling without replacement from a finite population of size N, with K successes, and k trials.

In the limit, as the population size becomes very large, the Hypergeometric distribution becomes increasingly similar to the Poisson distribution. The Poisson distribution is used to model the probability of events occurring in a fixed interval of time or space, assuming a constant average rate of occurrence.

Therefore, as the conditions are satisfied and the population size increases, the limit distribution of the Hypergeometric distribution is the Poisson distribution.

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The probability that the reaction time for this density function is at most 2.5 seconds is equal to 0.9.

A density function can be defined as a type of function which is used to represent the density of a continuous random variable that lies within a specific range.

P(X ≤ 2.5) = Fx(2.5)

Fx(2.5) = 3/2 - 3/2(2.5)

Fx(2.5) = 3/2 - 3/5

Fx(2.5) = 0.9.

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Complete Question:

The reaction time (in seconds) to a certain stimulus is a continuous random variable with pdf:

f(x) = \(\left \{ {{\frac{3}{2x^2} \;1 \leq x\leq 3} \atop {0}\;otherwise} \right\)

What is the probability that reaction time is at most 2.5 seconds?

A statistically significant negative correlation coefficient of r = -0.91 was obtained from a sample of n = 30. This indicates a strong and significant negative relationship between the variables.

The researcher conducted a correlation analysis and found a correlation coefficient (r) of -0.91, which indicates a strong negative relationship between the variables under investigation. The negative sign indicates that as one variable increases, the other variable tends to decrease, and vice versa.

The statistical significance of the correlation coefficient is crucial in determining whether the observed relationship is likely to be due to chance or if it truly exists in the population. In this case, the report should highlight that the obtained correlation coefficient is statistically significant.

To establish statistical significance, the researcher likely conducted a hypothesis test, such as a t-test or a permutation test, to determine the probability of obtaining a correlation coefficient as extreme as -0.91 under the null hypothesis of no correlation. Since the obtained correlation coefficient is statistically significant, it suggests that the observed negative relationship is unlikely to be a result of chance and provides evidence for a genuine association between the variables in the population from which the sample was drawn.

Reporting this finding is important for conveying the strength and significance of the negative relationship to the readers, providing valuable insights for further analysis and interpretation of the variables under investigation.

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Answer:

f(-2) = 4

Step-by-step explanation:

The function has three definitions depending on the value of x.

You are looking for the value of the function at x = -2.

-2 is in the interval x <= -1, which is the first line of the definition of the function.

We use the first line of the definition of the function.

f(x) = -2x for x <= -1

f(-2) = -2(-2) = 4

Answer: f(-2) = 4

Answer:

9^10

Step-by-step explanation:

(a^b)^c = a^(b×c)

hihi

Answer:

area of the base (length times width) times the length of the prism (corner of the base matching to the top corner of the top base)

Step-by-step explanation:

I hope I explained it good: Length times width of one of the bases; then save that number and multiply it to the remaining length of the prism which usually is on the side (if the prism is upright on one of its bases in problem).

area of the base (length times width) times the length of the prism (corner of the base matching to the top corner of the top base)

I hope I explained it good: Length times width of one of the bases; then save that number and multiply it to the remaining length of the prism which usually is on the side (if the prism is upright on one of its bases in problem).

Hope this helps! Have a good day/afternoon/night! :)

Therefore , the solution of the given problem of expressions comes out to be  (x+y) is the LCM of (x+y, x-y).

Utilizing shifting integers that may prove rising, minimizing, or blocking is preferable to using approximations generated at random. Sharing resources, knowledge, or answers to problems was the only way they could assist one another. An equation for a declaration of truth may contain the justifications, components, and mathematical comments for methods like additional disagreement, manufacture, and mixture.

Here,

We must factor each polynomial into its irreducible factors and then take the sum of the highest powers of each irreducible factor to determine the LCM of two polynomials.

Here are the facts:

=> x+y = (x+y)

=> x-y = -(y-x)

We don't need to include the second component separately in the LCM because it is simply the negation of the first factor.

The LCM is just (x+y) because x+y is already indivisible.

Consequently, (x+y) is the LCM of (x+y, x-y).

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Answer:

6

Step-by-step explanation:

Answer:

13 sides

Step-by-step explanation:

Sum of interior angles = (n - 2) 180°

(n - 2)*180 = 1980

n-2 = 11

n = 13

Answer:

24 pounds of garlic

Step-by-step explanation:

if she spends 3$ per pound, you divide 72 by 3. the answer to that is 24, so if she spends 72 dollars on only garlic, she can buy 24 pounds.

Jennifer can buy 24 pounds of garlic

we see here, that if she spends 3$ per pound, you divide 72 by 3.

The answer would be 24, so if she spends 72 dollars on only garlic,

she can buy 24 pounds.

1: any of various units of mass and weight specifically: a unit now in general use among English-speaking peoples equal to 16 avoirdupois ounces or 7000 grains or 0.4536 kilogram — see Weights and Measures Table

2: the basic monetary unit of the United Kingdom.

In maths, a division is a process of splitting a specific amount into equal parts. For example, we can divide a group of 20 members into 4 groups of 5 members each or 5 groups of 4 members each

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Given:

The fraction of treaters dressed up us halloween, x=2/15.

Let the total trickers be taken as 1.

Now, the proportion of treakers that were not dressed up as spiderman is,

Answer:

21

Step-by-step explanation:

Let the three consecutive integers be;

    x , x + 1 and x + 2:

The sum of squares of the two smaller numbers:

  The two smaller numbers are x and x+ 1

Sum of their squares:

           x² + (x+1)²;

        x² + x² + 2x + 1 = 2x² + 2x + 1

It is 45 more than the square of the larger number:

    Larger number = x + 2

        (x+2)² = x² + 4x + 4

 45 more;

        x² + 4x + 4 + 45  = x² + 4x + 49

Both are equal:

 2x² + 2x + 1 =  x² + 4x + 49  

  2x² - x² + 2x - 4x + 1 - 49 = 0

      x² - 2x - 48 = 0

      x² - 6x + 8x - 48 = 0

      x(x - 6) + 8(x - 6) = 0

      (x + 8)(x-6) = 0

      x + 8 = 0 or x - 6 = 0

      x  = -8 or x = 6

We choose x = 6 because it makes the solution true as a positive integer

  Sum of the three numbers:

     x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21

The  probability of event A is P(A) = 1/4 or 0.25.

The formula to find P(A) for a series of simple events is:

P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)

For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:

- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.

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Step-by-step explanation:

Doubled of 132 which means 2 times 132 =

Subtract 12 doubled from 132

While write the expression whatever the expression after the word from that we have to write first

So Doubled of 132 - 12

- 12 -----> This is the final expression

If we simplify the above expression we will get

264 - 12

= 252

Answer:

2*(132-12)

Step-by-step explanation:

from 132 meaning its the biggest number or the number where operations act on.

subtract 12, so ignoring doubled, subtract 12 from 132 is 132-12,

doubled meaning x2 so its 2*(132-12)

Answer:

Detergent A uses exactly 1 fluid ounce per load more than detergent B.

Step-by-step explanation:

We are given that Detergent A contains 48 fluid ounces and cleans 16 loads of dishes. Detergent B contains 76 fluid ounces and cleans 38 loads of dishes.

We have to compare that which detergent is accurate.

As we know that the formula for finding fluid ounce per load is given by;

 Fluid ounce per load =  \(\frac{\text{Amount of fluid ounces}}{\text{Amount of loads}}\)

Fluid ounces = 48

Loads of dishes = 16

So, fluid ounce per load =  \(\frac{48}{16}\)

                                         = 3 fluid ounce per load

Fluid ounces = 76

Loads of dishes = 38

So, fluid ounce per load =  \(\frac{76}{38}\)

                                         = 2 fluid ounce per load

So, we can clearly see that Detergent A uses exactly 1 fluid ounce per load more than detergent B, ie. (3 - 2) = 1 fluid ounce per load.

The dimensions of the garden are 6 feet for the left border (x) and 24 feet for the lower border (y). To find the area it encloses, simply multiply these dimensions: Area = 6 × 24 = 144 square feet

To enclose as much area as possible while spending $48, we want to minimize the amount of fencing required. We know that we don't need to fence the side along the river, so we only need to worry about fencing the left and bottom borders. Let's call the length of the left border L and the length of the bottom border B. The cost of fencing the left border is $4 per foot, so the cost of fencing it is 4L. The cost of fencing the bottom border is $1 per foot, so the cost of fencing it is B.
We want to spend $48, so we know that 4L + B = 48. We want to enclose as much area as possible, which means we want to maximize the area of the garden. The area of a rectangle is length times width, so the area of our garden is L times B.
To maximize L times B subject to the constraint 4L + B = 48, we can use the method of Lagrange multipliers. The Lagrangian function is:
L = LB - λ(4L + B - 48)
Taking partial derivatives with respect to L, B, and λ, we get:
∂L/∂L = B - 4λ
∂L/∂B = L - λ
∂L/∂λ = 4L + B - 48
Setting the partial derivatives equal to zero and solving for L, B, and λ, we get:
B - 4λ = 0
L - λ = 0
4L + B - 48 = 0
From the first equation, we get B = 4λ. Substituting into the third equation, we get 4L + 4λ - 48 = 0, or L + λ = 12. Substituting into the second equation, we get L - (L + λ) = 0, or λ = 0. Therefore, L = 6 and B = 24.
So the dimensions of our garden are 6 feet by 24 feet, and it encloses an area of 144 square feet.
To maximize the area of your garden with a budget of $48, you need to determine the optimal dimensions using the given costs for the left and lower borders.
Let x be the length of the left border and y be the length of the lower border. The cost equation is:
4x + y = 48
To solve for y, rearrange the equation:
y = 48 - 4x
Since no fencing is required along the river, the area of the garden can be calculated as:
Area = xy
Substitute the expression for y in the area equation:
Area = x(48 - 4x)
Area = 48x - 4x^2
To maximize the area, find the critical points by taking the derivative of the area function with respect to x and setting it to zero:
d(Area)/dx = 48 - 8x = 0
Solve for x:
8x = 48
x = 6
Now, find the length of the lower border (y) using the equation y = 48 - 4x:
y = 48 - 4(6)
y = 48 - 24
y = 24
So, the dimensions of the garden are 6 feet for the left border (x) and 24 feet for the lower border (y). To find the area it encloses, simply multiply these dimensions:
Area = 6 × 24 = 144 square feet

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Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−7/5,13/4)

Equation Form:

x=−75,y=134x=-75,y=134