Given the following information, the utilization is: Effective capacity = 20 units per day Design capacity = 60 units per day Actual output = 15 units per day Select one: a. 33.3% b. None of these c. 25% d. 50% e. 75%

Answer:

-4

Step-by-step explanation:

This is according to my sense. please consider other answers as well

Answer:

a.

Step-by-step explanation:

if u cover up one of them then u have 2 left

Answer:

2

Step-by-step explanation:

easyyyyy

Answer:

51

Step-by-step explanation:

Given

m = 6 and n = 5

Now

m² + 3n

= ( 6) ² + 3 * 5

= 36 + 15

= 51

Answer:

3x + 7 + 2x -1

Step-by-step explanation:

(3x+2x)+(7-1)

5x + 6

6 / 5

x=1.2 or 2/10

Assuming A and B are prime numbers, and A > B, and their LCM is 161, we get A = 23 and B = 7. Substituting these values in the expression 3B - A, we get the value of 3B - A as -2.

The LCM of two prime numbers can only be equal to their product. Therefore, we have:

A x B = 161

The prime factors of 161 are 7 and 23. Since A is greater than B, we can assume that A = 23 and B = 7.

Substituting these values in the expression 3B - A, we get:

3B - A = 3(7) - 23 = -2

Therefore, the value of 3B - A is -2.

Learn more about LCM here: brainly.com/question/20739723

#SPJ4

The probability of there being 100 arrivals during a day can be calculated using the Poisson distribution formula with the given rate of 7 arrivals per hour. The expected number of hours until there have been 17 arrivals can be determined using the concept of the Poisson process and the mean of the Poisson distribution.

(a) To find the probability of 100 arrivals during a day, we can use the Poisson distribution formula:

P(X = k) = (e^(-λ) * λ^k) / k!

where X is the number of arrivals, λ is the rate per hour, and k is the desired number of arrivals.

In this case, λ = 7 per hour, and we want to calculate the probability of 100 arrivals during a day. Since there are 24 hours in a day, the rate for a day is λ_day = λ * 24. Thus, we substitute λ_day = 7 * 24 into the formula:

P(X = 100) = (e^(-λ_day) * λ_day^100) / 100!

(b) The expected number of hours until there have been 17 arrivals can be calculated using the concept of the Poisson process. The mean of the Poisson distribution is equal to the rate parameter (λ). Therefore, the expected number of hours until 17 arrivals is 17 / λ. Given that λ = 7 per hour, we can calculate:

Expected number of hours = 17 / 7 = 2.43 hours.

By applying these calculations, we can determine the probability of 100 arrivals during a day and the expected number of hours until there have been 17 arrivals in accordance with the given Poisson process.

Learn more about Poisson here:

https://brainly.com/question/30388228

#SPJ11

Answer:

Step-by-step explanation:

\(\sqrt{x-3}\) = x - 5 ( x ≥ 3 )

( \(\sqrt{x-3}\) )² = ( x - 5 )²

x - 3 = x² - 10x + 25

x² - 11x + 28 = 0

(x - 4)(x - 7) = 0

\(x_{1}\) = 7

\(x_{2}\) = 4

Check the answer:

1). x = 7

\(\sqrt{7-3}\) = 7 - 2

√4 = 2

2 = 2

2). x = 4

\(\sqrt{4-3}\) = 4 - 5

1 = - 1 (False statement) ⇒ x = 4 is an extraneous solution.

Answer:

The same as the person above me

Step-by-step explanation:

1.

- 2,3

2.

-X=2

Y=3

Answer: $35.05

Step-by-step explanation:

10% of 350.52 ≈ 35.05

The projectile will strike the ground after 60 seconds,  which is calculated using the given initial speed and angle of elevation.

a) To determine when the projectile will strike the ground, we can analyze the projectile's vertical motion. The initial speed of 600 m/s and the angle of elevation of 30∘ provide information about the initial vertical velocity and the effect of gravity.

We can split the initial velocity into its vertical and horizontal components. The vertical component is given by V₀sinθ, where V₀ is the initial speed and θ is the angle of elevation. In this case, V₀sin30∘ = 600 * sin30∘ = 300 m/s.

Considering only the vertical motion, the projectile experiences constant acceleration due to gravity, which is approximately 9.8 m/s². Using the equation of motion s = V₀t + (1/2)at², where s is the vertical displacement, V₀ is the initial vertical velocity, t is the time, and a is the acceleration, we can solve for t. Since the projectile strikes the ground when s = 0, we have 0 = 300t - (1/2) * 9.8 * t².

Simplifying the equation, we get (1/2) * 9.8 * t² = 300t, which can be rearranged to t² - 60t = 0. Factoring out t, we have t(t - 60) = 0. Thus, the projectile will strike the ground at t = 0 or t = 60 seconds.

Therefore, the projectile will strike the ground after 60 seconds.

Learn more about projectile here:

https://brainly.com/question/28043302

#SPJ11

Answer:

5/6 or 0.83

Step-by-step explanation:

Reduce the fraction:

3/6 + 1/3

Transform the expression:

3+2

 6

Calculate:

5/6

Answer/Solution:

5/6 or 0.83

Step-by-step explanation:

55 will be the Mean absolute deviation

\(\huge\text{Hey there!}\)

\(\large\text{Looking for your MEAN in your given data}\)

\(\mathsf{\dfrac{62 + 46 + 50 + 52 + 55}{5}}\\\\\large\textsf{62 + 46+50+52+55}\\\large\textsf{62 + 46 = \bf 108}\\\large\textsf{108 + 50 + 52 + 55}\\\large\textsf{108 + 50 = \bf 158}\\\large\textsf{158 + 52 + 55}\\\large\textsf{158 + 52 = \bf 210}\\\large\textsf{210 + 55}\\\large\textsf{= \bf 265}\\\\\large\text{New EQUATION: }\mathsf{\dfrac{265}{5}}\)

\(\mathsf{\dfrac{265}{5}}\\\\\large\textsf{= \bf 53}\)

\(\large\text{Now that we solve for your MEAN , we can now find the}\\\large\text{DIFFERENCE between each of your given numbers in the data}\\\large\text{set. The word difference simply means subtract in mathematics.}\)

\(\large\textsf{62 - 53 = \bf 9}\\\large\textsf{53 - 46 = \bf 7}\\\large\textsf{53 - 50 = \bf 3}\\\large\textsf{53 - 52 = \bf 1}\\\large\textsf{55 - 53 = \bf 2}\)

\(\large\text{Now that you have all of the number differences, we can now ADD}\\\large\text{their results up.}\)

\(\large\textsf{9 + 7 + 3 + 1 + 2}\\\large\textsf{9 + 7 = \bf 16}\\\large\textsf{16 + 3 + 1 + 2}\\\large\textsf{16 + 3 = \bf 19}\\\large\textsf{19 + 1 + 2}\\\large\textsf{19 + 1 = \bf 20}\\\large\textsf{20 + 2}\\\large\textsf{= \bf 22}\)

\(\large\text{Lastly, DIVIDE the given number (22) by the total number in}\\\large\text{the given data set (5)}\)

\(\mathsf{\dfrac{22}{5}= \underline{ your\ \bf answer}}\)

\(\large\text{Simplify above and you have your overall answer.}\)

\(\mathsf{\dfrac{22}{5}}\\\\\mathsf{22\div5 = \bf 4.4}\\\\\\\large\textsf{Therefore, your answer is most likely is: \bf 4.4}\)

\(\boxed{\boxed{\large\textsf{Answer: \huge \bf 4.4}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

i think

Step-by-step explanation:

I had this question before I think it is 4.79351029489 sorry I don't know but I checked my answer with a calculator.

Answer:

45 members voted and 15 didn't vote

Step-by-step explanation:

Answer:

h = 11

Step-by-step explanation:

Sum of the angles in a Triangle = 180°, So;

\(83 + 39 + (6h - 8) = 180 \\ 122 - 8 + 6h = 180 \\ 114 + 6h = 180 \\ 6h = 180 - 114 \\ 6h = 66 \\ h = 66 \div 6 \\ h = 11\)

Answer:

3360.

Step-by-step explanation:

That would be the number of permutations of 3 from 16.

= 16P3

= 16!/(16-3)!

= 16*15*14

= 3360

Answer:

3 360 permutations

Step-by-step explanation:

the number of permutations :

16P3 = 16 × 15 × 14 = 3 360

Answer:

Side Angle Side

Step-by-step explanation:

Answer:

-12

Step-by-step

Option A, The image above, according to math central Luz, is a Venn diagram. A major in art, her brother, interprets it as two circles. One instance of synesthesia is the discrepancy in perception.

A Venn diagram is a type of visual representation that uses circles to emphasize the relationships among certain items or constrained groups of things. Rings with overlaps have several properties that circles without overlaps do not. Venn diagrams are helpful for visually illustrating the relationship and differences between two concepts.

A Venn diagram uses circles or other overlapping shapes to illustrate the relationships between three or more organizations of things. They usually serve to visually organize items while emphasizing their similarities and differences.

A triple Venn diagram is a helpful visual tool highlighting the similarities and differences between three sets of objects or statistics.

Learn more about the Venn diagram at

https://brainly.com/question/6317465?referrer=searchResults

#SPJ4

Answer:

4 weeks

Step-by-step explanation:

Using the concept of similar triangles, we were able to find the height of the tree given the man's height, distance from the tree, and distance from the steak. The tree is approximately 6.25 feet tall.

We can use similar triangles to find the height of the tree. Let x be the height of the tree in feet. Then, we have:

x / (x+5) = 6 / 30

Cross-multiplying, we get:

30x = 6(x+5)

Expanding and simplifying, we get:

30x = 6x + 30

24x = 30

x = 1.25

Therefore, the tree is 1.25 + 5 = 6.25 feet tall.

In conclusion, the height of a tree can be determined using similar triangles. By setting up the proportion of the tree's height to its distance from a person, and using cross-multiplication, the height can be solved for. The tree is 6.25 feet tall.

Learn more about similar triangles here: brainly.com/question/2773823

#SPJ4

Minimum and Maximum Calculator is an online widget that helps you find the max and min values ​​of a function.

The maximum value is the point at which the function has the highest value of all other values, while the minimum value is the lowest value in the entire function.

The calculator returns the global maximum and minimum of the function along with a graph on the Cartesian plane as the solution. A min-max calculator is an online calculator that can be used to find the maximum and minimum values ​​of a mathematical function.

Finding the extreme values ​​of a function is also known as optimization. Feature optimization is a central concept in engineering, business, and machine learning.

To know more about Minimum and Maximum Calculation:

brainly.com/question/13796394

#SPJ4

To calculate the distance between the southeast corner of section 4 and the northwest corner of section 34 in a given township, we need to consider the dimensions and layout of the township.

In a township, there are 36 sections arranged in a 6 by 6 grid, numbered from 1 to 36. Each section is typically a square with equal dimensions.

To find the distance between the southeast corner of section 4 and the northwest corner of section 34, we can calculate the number of sections between them in the horizontal and vertical directions.

Starting from section 4, we move horizontally to the right by 3 sections (since section 4 is in the first column and we need to reach the fourth column).

Then, we move vertically upwards by 5 sections (since section 4 is in the sixth row and we need to reach the first row).

So, the southeast corner of section 4 is 3 sections to the right and 5 sections upwards from the northwest corner of section 34.

Next, we need to consider the dimensions of each section. If each section has a side length of "d" units, the distance between the southeast corner of section 4 and the northwest corner of section 34 can be calculated as follows:

Distance = √((3d)^2 + (5d)^2)

= √(9d^2 + 25d^2)

= √(34d^2)

= √34d

Therefore, the distance between the southeast corner of section 4 and the northwest corner of section 34 is √34 times the side length "d" of each section in the township.

The specific value in units would depend on the given dimensions of each section

To know more about distance refer here:

https://brainly.com/question/13034462#

#SPJ11

The standard deviation will increase with the sample size, becoming n ≥ 30.

What is the central limit theorem?

The central limit theorem implies that the distribution of the sample means will be roughly normally distributed if you have a population with mean and standard deviation and take sufficiently enough random samples from the population with replacement.

What is the standard deviation?

The standard deviation measures a set of values' variance or dispersion. While a high standard deviation suggests that the values are dispersed throughout a broader range, a low standard deviation indicates that the values tend to be close to the established mean.

According to the theory for the central limit, when large samples are drawn from each community, with and confidence interval, the sample distribution of means may be close to the interval, regardless of the underlying population demographics. The stronger the approach, the larger the sample (typically n≥30).

The sample is significant unless the population is not regularly distributed.

Therefore, if the sample size increases the standard deviation will be n≥30.

learn more about of standard deviation here

https://brainly.com/question/28789964

#SPJ4

The numbers are grouped as;

√-196 is irrational

1372/99  is rational

√3 is irrational

3π is rational

A rational number is simply defined as a number which is represented or expressed as the ratio of integers, whether even or odd.

These numbers are represented mathematically as a ratio or quotient, say a/b, such that b is not equal or equivalent to zero. The denominator should not be equal to zero.

It is derived from dividing s number by another number.

Examples of rational numbers are;

1/ 3, 2/ 4. 5/ 7, 8/7, 1/5, 1/6

An irrational number that cannot be represented as quotient of numbers unlike rational numbers.

These numbers are not written as fractions.

They are also known as real numbers that are not fractions.

Examples of irrational numbers are;

√2, √5, √7, √21

Then, we have that;

√-196 = -14 irrational

1372/99 = rational

√3 = irrational

3π = rational

Hence, the fractional numbers are rational

Learn more about rational numbers here:

https://brainly.com/question/19079438

#SPJ1

Let's call the first number in the series "x", and the last number in the series "y".

We know that the series is a consecutive series of odd numbers, and we also know that y is 6 less than the last number in the series.

Since the series is a consecutive series of odd numbers, we can say that the difference between any two consecutive numbers in the series is 2.

So, we can write an equation to represent this information:

y = x + (n-1) * 2

where n is the number of numbers in the series.

We also know that y is 6 less than the last number in the series, so we can add this information to our equation:

y = x + (n-1) * 2 - 6

To solve for n, we can rearrange the equation:

n = (y - x + 6) / 2 + 1

Now, if we know the value of x and y we can substitute them in the equation and find the number of terms in the series.

To know more about consecutive numbers:

https://brainly.com/question/28669351

#SPJ4

Carson will make $686.25 in a week.

This problem can be solved by using percentage.

Percentage is the measure of a quantity with respect to its whole.

Given, the total salary of Carson in a week is = $450

Also he gets a commission of 15% on making sales for a week.

In a week he makes a sales of $1575.

Commission for this week = 15% of 1575

                                            = $236.25

Total salary for this week = 450+236.25

                                           = $686.25

So, Carson will receive the above amount in a week as his salary.

To learn more about percentage visit the link:

https://brainly.com/question/28269290

#SPJ9