Find the absolute minimum and maximum value of the function: f(x) = 2 2 sin(z) over the interval of [5, 21 27 2 Absolute maximum value: Absolute minimum value:

The correct option is (D). Approximately 77.3% of new machine set ups are completed in less than 25 minutes.

Given a local manufacturing plant, employees must complete new machine set ups within 30 minutes.

The new machine set-up times can be described by a normal model with a mean of 22 minutes and a standard deviation of four minutes. The typical worker needs five minutes to adjust to their surroundings before beginning their duties.

To find the percentage of new machine set ups completed in less than 25 minutes, we need to calculate the z-score. For this, we will use the formula:

z = (X - μ) / σ

where X = 25 minutes, μ = 22 minutes, and σ = 4 minutes

z = (25 - 22) / 4z = 0.75

We can now look up the percentage of the area under the normal distribution curve that corresponds to z = 0.75. Using a standard normal distribution table, we find that the area to the left of z = 0.75 is approximately 0.7734.

So, the percentage of new machine set ups completed in less than 25 minutes is approximately 77.34%.

Therefore, the correct option is (D).Approximately 77.3% of new machine set ups are completed in less than 25 minutes.

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Answer:i think its 3/4

Step-by-step explanation:

Answer:

im pretty sure it is 3/4

Step-by-step explanation:

The probability that a male college student from the group chose "housework" as their most likely activity on Saturday mornings is 0.1, or 10% (rounded to the nearest thousandth).

The probability that a male college student from the group chose "housework" as their most likely activity on Saturday mornings depends on the available data or information provided. Without specific data or information on the preferences or behaviors of male college students in the group, it is not possible to determine the exact probability.

To calculate the probability, we would need to know the total number of male college students in the group and the number of male college students who chose "housework" as their most likely activity on Saturday mornings.

Let's assume there are 100 male college students in the group, and out of those, 10 male college students chose "housework" as their most likely activity on Saturday mornings.

The probability can be calculated as the ratio of the number of male college students who chose "housework" to the total number of male college students in the group:

Probability = Number of male college students who chose "housework" / Total number of male college students in the group

Plugging in the values, we get:

Probability = 10 / 100 = 0.1

Therefore, the probability that a male college student from the group chose "housework" as their most likely activity on Saturday mornings is 0.1, or 10% (rounded to the nearest thousandth).

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Answer:

x=-9

Step-by-step explanation:

2(x-7)-5x=13

Remove the parenthesis

2x-14-5x=13

Collect like terms

-3x - 14 = 13

Move the constant to the right

-3x=13+14

Calculate

-3x=27

Divide on both sides to get the answer

Answer:

Step-by-step explanation:

y is directly proportional to the square root of ( x-3):

Given:

Find k:

Find y when x = 39:

Answer:

y = 24

Step-by-step explanation:

Given y is directly proportional to \(\sqrt{x-3}\) then the equation relating them is

y = k\(\sqrt{x-3}\) ← k is the constant of proportion

To find k use the condition when x = 28, y = 20 , then

20 = k × \(\sqrt{28-3}\) = k × \(\sqrt{25}\) = 5k ( divide both sides by 5 )

4 = k

y = 4 \(\sqrt{x-3}\) ← equation of proportion

When x = 39 , then

y = 4 × \(\sqrt{39-3}\) = 4 × \(\sqrt{36}\) = 4 × 6 = 24

We would not be safe constructing the interval based on an SRS of size 24 from the population if the sample data exhibits a strong departure from normality.

Constructing a one-sample t interval assumes that the population distribution is approximately normal. However, if the sample data shows a significant departure from normality, it would be unsafe to rely on the t interval. In such cases, alternative approaches or non-parametric methods may be more appropriate for estimating the population mean.

When the sample size is large, the Central Limit Theorem allows for a certain degree of departure from normality. However, with a small sample size of 24, if the data is heavily skewed, exhibits strong outliers, or deviates significantly from a normal distribution, the assumptions underlying the t interval may not hold. In these situations, using the t interval would not provide reliable or valid inferences about the population mean.

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Answer:

by fraction and decimals

Step-by-step explication:

The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°

From the question, we have the following parameters that can be used in our computation:

The transversal lines and the other lines

So, we have

∠1 = 180 - 53

Evaluate

∠1 = 127°

Also, we have

∠5 = 53°

By vertical angles, we have

∠2 = 53°

∠3 = 127°

Next, we have

∠4 = 127 - 90°

∠4 = 37°

Solving further, we have

∠6 = 90°

By corresponding angles, we have

∠7 = 37°

∠9 = 180 - 90 - 53°

∠9 = 37°

∠10 = 90 + 53°

∠10 = 143°

∠8 = 143°

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Answer: 151/14

Step-by-step explanation:

6x+13+4x+16+4x=180

14x + 29 = 180

14x = 151

x = 151/14

Answer:

y = -5x + 4

Step-by-step explanation:

In the equation y = mx + b , m stands for slope and b stands for the y intercept. In the coordinates (-1,4) the y value is 4 meaning that it's your y-intercept. The slope is already given to you so just add the X.

Answer:

y = -5x - 1

Step-by-step explanation:

Since you have the slope and a given point you can use the point-slope formula to solve for the y-intercept formula.

Point slope formula = y - y = m(x - x)

m = -5    (-1, 4)

y - 4 = -5(x +1)

y - 4 = -5x - 5

y = -5x - 1

To compare the two quantities, divide the number of giraffes by the number of penguins There are 5 times as many giraffes as penguins at the zoo.

To compare the two quantities, you need to divide the number of giraffes by the number of penguins.

30 giraffes / 6 penguins = 5

This means that there are 5 times as many giraffes as penguins at the zoo.

There are 5 times as many giraffes as penguins at the zoo. To compare the two quantities, divide the number of giraffes by the number of penguins (30/6 = 5). This means that there are 5 times more giraffes than penguins at the zoo.

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Answer: 4

Step-by-step explanation:

Let the number of gallon milk cartons be M and the number of apples be N.  The total cost would be 3.59M + 0.60N <= 6.00.  If M = 1, then

3.59 + 0.60N <= 6.00

0.60N <= 2.41

N  <= 4  [2.40, with 0.01 left over]

(a) 77+21(6) = $203

(b) 329 = 77 + 21h means 252 = 21h, and thus h = 12 hours

Answer:

Hey but you get better at in no time lol

Step-by-step explanation:

no need to worry

James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

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Answer:

Your correct answer is 169.65 square units.

Step-by-step explanation:

Since the radius of the cylinder is 3, and the height of it is 6, you get a total of 169.65 square units.

Here is proof that I am correct:

Answer:

54 pi

Step-by-step explanation:

khan

Answer:

The mean is 7

Step-by-step explanation:

5,5,7,7,9,13

9-7 is going to get 7

the expected number of customers in the post office in steady state is 13.16.

We can use the M/M/1 queue model to solve this problem. Since customers arrive at a Poisson rate of 18 per hour, the arrival rate is λ = 18/60 = 0.3 customers per minute. The service times are deterministic, so we can use the mean service time to calculate the service rate. The mean service time is:

(0.5 x 2) + (0.2 x 3) + (0.3 x 5) = 3.1 minutes

So the service rate is μ = 1/3.1 = 0.3226 customers per minute.

The utilization of the system is ρ = λ/μ = 0.3/0.3226 = 0.929. Since the system is stable, the expected number of customers in the system in steady state is:

L = ρ/(1 - ρ) = 0.929/(1 - 0.929) = 13.16 customers

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The expected population size be after two generations which has a current size of 150 and λ of 1.2 is 216.

Nt = N₀ × λ^t

Nt = Population size at generation t

N₀ = Current population size

t = Number of generations

λ = Finite rate of increase

λ = 1.2

N₀ = 150

Nt = 150 × 1.2²

Nt = 150 × 1.44

Nt = 216

Population size is defined as the number of individuals present in a designated region. Finite rate of increase is the ratio of population size from increase from one year to the next.

Therefore, the expected population size be after two generations is 216

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Answer:

125feet

Step-by-step explanation:

Given the equation that modeled the height expressed as h = -16t^2 + 80t + 25, where h is the height and t is the time in seconds.

The arrow reaches the maximum height at dh/dt = 0

dh/dt = -32t + 80

0= -32t+80

32t = 80

t = 80/32

t = 2.5secs

substitute t = 2.5 into the formula;

h = -16t^2 + 80t + 25

h = -16(2.5)^2 + 80(2.5) + 25

h = -16(6.25)+225

h = -100+225

h = 125

Hence the maximum height the arrow reaches is 125feet

This algorithm efficiently finds all terms in a finite sequence of integers that are greater than the sum of all previous terms in the sequence.

To devise an algorithm that finds all terms of a finite sequence of integers that are greater than the sum of all previous terms of the sequence, follow these steps:

Start by defining the input sequence as a list or an array of integers. Let's call it `sequence`.

Initialize an empty list or array called `results` to store the terms that meet the condition.

Initialize a variable called `sum_of_previous_terms` and set its value to 0. This variable will be used to store the sum of all previous terms in the sequence as we iterate through it.

Loop through the sequence using a for loop, comparing each term with the sum of all previous terms.
  a. For each term in the sequence, compare it with the value of `sum_of_previous_terms`.
  b. If the term is greater than `sum_of_previous_terms`, add it to the `results` list or array.
  c. Update the value of `sum_of_previous_terms` by adding the current term to it.

Continue the loop until all terms in the sequence have been checked.

After the loop is completed, return the `results` list or array, which contains all the terms that meet the condition.

Here is the algorithm in a more concise form:

Input: `sequence` (a list or array of integers)

Initialize: `results` (an empty list or array), `sum_of_previous_terms` (0)

For each term in `sequence`:
  a. Compare the term with `sum_of_previous_terms`
  b. If term > sum_of_previous_terms, add term to `results`
  c. Update `sum_of_previous_terms` with the current term

Return `results`

This algorithm efficiently finds all terms in a finite sequence of integers that are greater than the sum of all previous terms in the sequence.

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Answer:

Step-by-step explanation:

Area of rectangle:

Answer:

284 ²/₃ square yards

Step-by-step explanation:

Area of a rectangle

Area = length × width

Given:

Substitute the given values into the formula and solve for area:

\(\begin{aligned}\sf Area & = \left(30+\dfrac{1}{2}\right) \times \left(9+\dfrac{1}{3}\right)\\\\ & = \dfrac{30 \times2+1}{2} \times \dfrac{9 \times 3+1}{3}\\\\ & = \dfrac{61}{2} \times \dfrac{28}{3}\\\\& = \dfrac{61 \times 28}{2 \times 3}\\\\ & = \dfrac{1708}{6}\\\\ & = \dfrac{1704+4}{6}\\\\ & = \dfrac{1704}{6}+\dfrac{4}{6}\\\\ & =284\: \frac{2}{3}\:\:\sf square\:yards\end{aligned}\)

Therefore, the area covered by the tent is 284 ²/₃ square yards.

Answer: ddddd

Step-by-step explanation:

Answer:

Each dog has 2 ears (unless a dog had genetic disorder)

So-

14 x 2

= 28

So she counted of 28 Ears of total

(honestly that's a weird thing to do but ok)

Answer:

14 x 2 = 28

Step-by-step explanation:

Each dog has 2 ears

14 dogs has 28 ears

To find the length of the model, we need to use the given scale, which states that 1 inch on the model represents 1.5 feet in reality.

The length of the actual object is given as 18 feet. Let's calculate the length of the model:

Length of model = Length of actual object / Scale factor

Length of model = 18 feet / 1.5 feet/inch

Length of model = 12 inches

Therefore, the length of the model is 12 inches. Therefore, the correct option is (a) 12 inches.

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Answer:

4 - 2m + 3

Step-by-step explanation:

when you distribute the negative sign you will get this

Answer:

B on Edge

Step-by-step explanation: