A computer company wants to determine the proportion of defective computer chips from a day’s production. A quality control specialist takes a random sample of 100 chips from the day’s production and determines that there were 12 defective chips. He wants to construct a 90% confidence interval for the true proportion of defective chips from the day’s production. Are the conditions for inference met?



Yes, the conditions for inference are met.


No, the 10% condition is not met.


No, the randomness condition is not met.


No, the Large Counts Condition is not met

I don't know the answer to this question but I thought I learned algebra so my friend asked me what y=mx+b was and I said it was a curved line. am i correct?

Answer:

1) The mistake is not following order of operations, the multiplication between the 3 and (2a - 4) in the brackets is a priority. You should of added the 8 after you resolve the bracket.

2) We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

The average rate of change of y with respect to x over the interval [1, 5] for function \(y=4x^{2}\) is 24.

To find the average rate, follow these steps:

Therefore, the average rate of change of y with respect to x over the interval [1, 5] for the function \(y=4x^{2}\)  is 24.

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The A992 steel bars used in the truss are designed to prevent buckling. Buckling is a structural failure that occurs when a slender member, such as a column or beam, fails under compression due to inadequate stiffness.

Firstly, the circular cross-section of the steel bars helps distribute the compressive load evenly. The diameter of each bar is stated as 1.8 inches, which provides a significant amount of material around the member's centroid, enhancing its resistance to buckling.

Additionally, the pin connections at the ends of the members allow for rotational freedom. Pin connections are typically designed to minimize moments and facilitate axial forces along the member's axis. This type of connection enables the truss to transfer loads and forces efficiently while reducing the risk of buckling.

Furthermore, the material choice of A992 steel provides excellent strength and stiffness properties. A992 is a high-strength, low-alloy steel commonly used in structural applications. Its enhanced mechanical properties make it well-suited for resisting buckling and other structural failures.

By combining the circular cross-section, pin connections, and the use of A992 steel, the truss is designed to withstand compressive loads and prevent buckling, ensuring its structural integrity and stability.

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Answer:

47°

Step-by-step explanation:

if it is the same, then the angles are the same

180 - 85 - 48 = 47

Answer:

34????????? I think its 34 so sorry if I'm wrong

Step-by-step explanation:

Answer:

They are all proportional

Step-by-step explanation:

when an x value is inputted, they output a y value.

If you could elaborate on the question, maybe I can help you solve your problem but this all i can answer with what working with

Answer:

Answer= B.angle with the greatest measure

The given function f(x) = 16^x is an exponential function.

An exponential function is a mathematical function in which an independent variable appears in the exponent. In this case, the base of the function is 16, and the variable x is the exponent.

In the given function f(x) = 16^x, the variable x represents the exponent to which 16 is raised. As x increases, the function value grows rapidly, indicating exponential growth. The base of 16 signifies that the function is being multiplied by 16 for each unit increase in the exponent.

In contrast, a linear function has a constant rate of change, and a quadratic function has a squared term. The given function does not involve a linear relationship or a squared term, which confirms that it is not a linear or quadratic function.

Therefore, based on the given form f(x) = 16^x and the exponential growth nature of the function, we can classify it as an exponential function.

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A rectangular pigpen is to be built against a wall so that only three sides will require fencing and if p feet of fencing are to be used, the area of the largest possible pen is (p/4)²

A rectangular pigpen is to be built against a wall so that only three sides will require fencing. If p feet of fencing are to be used. To Find: the area of the largest possible pen. Solution: Let ABC be a rectangular pen with A on the wall and the other vertices B and C on the ground.

Let AB = x, BC = y and AC = h (height of the pen)∴ p = x + y + h...[Given]⇒ h = p - (x + y) ...(i)Area (A) of the rectangular pen ABC = xy ...(ii)From equation (i) ⇒ h = p - (x + y) ...(i)By substituting this value in equation (ii) we get:⇒ A = x(p - x - y)⇒ A = px - x² - xy .....

(iii)To maximize A, we take the derivative of (iii) w.r.t x and equate it to zero.⇒ dA/dx = p - 2x - y = 0 ⇒ y = p - 2x .....(iv)Substituting equation (iv) in equation (i), we get⇒ h = 2x - p Substituting x = p/4 in equation (iii), we get the area of the largest possible pen.⇒ A = (p/4)²

Therefore, the area of the largest possible pen is (p/4)².Hence, option (C) is the correct answer.Note: This is a maximization problem of a function of two variables, given the relationship between those two variables. Therefore, the first step is to set up an equation that relates the variables.

Then find a function that you want to maximize or minimize and proceed accordingly.

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Answer:

The quotient of the given expression is;

Explanation:

Given the expression;

To solve, let us convert the mixed fraction to improper fraction.

Then we can now divide the fractions to get the quotient;

Therefore, the quotient of the given expression is;

Thus, the annual arithmetic mean number of degrees awarded in computer science over the most recent seven years is approximately 7,525.14.

To find the annual arithmetic mean number of degrees awarded in computer science over the most recent seven years, we need to add up the total number of degrees awarded over those years and then divide that total by seven (the number of years being considered).

So, adding up the numbers given in the question, we get:

4,820 + 13,188 + 4,614 + 5,920 + 12,372 + 5,885 + 5,877 = 52,676

Now, to find the mean, we divide this total by seven:

52,676 ÷ 7 = 7,525.14

So, the annual arithmetic mean number of degrees awarded in computer science over the most recent seven years is approximately 7,525.14.

If we wanted to understand more about how the number of degrees awarded in computer science has changed over time, we would need to look at additional data and analyze it in more detail.

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Answer: \(52\ cm,\ 176.55\ cm^2\)

Step-by-step explanation:

Given

The cylinder is 20 cm high

The radius of the cylinder is \(r=3\ cm\)

The total area of the figure is the sum of the rectangle and two circles

\(\Rightarrow \text{Perimeter P=}2[h+2r]\\\Rightarrow P=2[20+6]\\\Rightarrow P=52\ cm\)

The total area of the figure is

\(\Rightarrow \text{Area A=}h\times 2r+2\pi r^2\\\Rightarrow A=20\times 6+2\times \pi \times 3^2\\\Rightarrow A=120+18\pi\\\Rightarrow A=176.55\ cm^2\)

After answering the presented question, we can conclude that function Therefore, the answer is k is equal to one third.

In mathematics, a function appears to be a link between two sets of numbers in which each member of the first set (known as the domain) corresponds to a specific member of the second set (called the range). In other words, a function takes input from one collection and creates output from another. The variable x has frequently been used to represent inputs, whereas the variable y has been used to represent outputs. A formula or a graph can be used to represent a function. For example, the formula \(y = 2x + 1\) depicts a functional form in which each value of x generates a unique value of y.

We can use the information about the function g(x) to determine the value of k.

We know that\(g(x) = f(kx)\). When \(x = -2\), we have \(g(-2) = f(k(-2)) = f(-2k) = 4.\)

Using the coordinates of the vertex \((0,0)\), we know that the equation of f(x) can be written in the form\(f(x) = a(x - 0)^2 + 0\) where a is a constant. Substituting the coordinates \((1,1)\)or \((2,4)\)into this equation gives us:

\(1 = a(1 - 0)^2 + 0\)

\(4 = a(2 - 0)^2 + 0\)

Simplifying these equations, we get:

\(1 = a4 = 4a\)

Therefore, \(a = 1\) and we can write the equation for f(x) as \(f(x) = x^2.\)

Now, we can use the information about g(x) to find the value of k.

When \(x = -2\),  we know that  \(g(-2) = 4\). Therefore, we have:

Since the only value of k that appears in the table for \(g(x) is 1/3\), we can conclude that \(k = 1/3.\)

Therefore, the answer is k is equal to one third.

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Answer:

  8. 35°

  9. m = 115, n = 80

  10. a = 28.5, b = 10

Step-by-step explanation:

You want to know the values of angles and variables in figures that have inscribed angles and quadrilaterals.

An inscribed angle is one whose vertex lies on a circle, and whose rays intercept an arc of the circle. The measure of an inscribed angle is half the measure of the intercepted arc.

This gives rise to several useful relationships.

The marked angle and angle DFE both intercept arc DE, so they are congruent:

  ∠DFE = 35°

The angle marked m° is opposite the angle marked 65° in the inscribed quadrilateral.

  m = 180 -65

  m = 115

The angle marked n° is opposite the angle marked 100°.

  n = 180 -100

  n = 80

One way to solve this problem is to first find the measures of angles Y and Z.

  Y = (64° +125°)/2 = 189°/2 = 94.5°

  Z = (64° +136°)/2 = 200°/2 = 100°

The opposite angles are supplementary:

  3a° = 180° -Y = 180° -94.5° = 85.5°

  a = 85.5/3 = 28.5

And ...

  8b° = 180° -Z = 180° -100° = 80°

  b = 80/8 = 10

The values of 'a' and 'b' are 28.5 and 10, respectively.

__

Additional comment

There is another special form of "inscribed" angle that is formed by an external tangent to a circle and a chord to the point of tangency. The arc intercepted by the chord has twice the measure of the "inscribed" angle between the chord and the tangent.

One way to think of this geometry is as the degenerate case of an inscribed angle that has the vertex approach one end of the intercepted arc.

Answer:

400

Step-by-step explanation:

480-80=400

Answer

x=6

Step-by-step explanation:

80*x=480

80*6=480

Answer:

2/9 , 3/7 , 1/5

Step-by-step explanation:

The pattern in matching the x value / y value, kind of like getting a gradient.

For example: Look at first paragraph, the points it corresponds are on x = 9, and y = 2, y/x = 2/9

The unit rate of first, second and third graph respectively are 2/9, 3/7 , and 1/5.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

To determine unit rate to the graph that represents

The pattern that results from matching the ratio x value to the y value resembles that of a gradient.

According to the first graph,

the points it corresponds are on x = 9, and y = 2, y/x = 2/9

According to the second graph,

the points it corresponds are on x = 7, and y = 3, y/x = 3/7

According to the third graph,

the points it corresponds are on x = 5, and y = 1, y/x = 1/5

Hence, the unit rate of first, second and third graph respectively are 2/9, 3/7 , and 1/5.

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Answer: 75.2

Step-by-step explanation:

Well, if it isn't the most confusing question ever.

First of all, what is P?

I'll assume its the perimeter...

2*(1.2*2)+4*(8.8*2)

Or

2*2.4+4*17.6

75.2

Answer:

9

Step-by-step explanation:

use the formula m = y2- y1 / x2 - x1

Answer:

Step-by-step explanation:

The slope of a line can be found using any two points of a line and the slope, m, is defined as

m=(y2-y1)/(x2-x1), we have points (-1,-3) and (0,6) so

m=(6-(-3))/(0-(-1))

m=9/1

m=9

Answer:

7π over 3

Step-by-step explanation:

Convert from degrees to radians using the ratio π over 180.

The camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing within the given constraints.

To determine the optimal number of each item the camper should take, we need to maximize the total benefit while considering the capacity constraint of the backpack.

Let's assume the camper takes x units of food, y first-aid kits, and z pieces of clothing.

The backpack has a capacity of 9 ft^3, and each unit of food takes up 2 ft^3. Therefore, the constraint for food is 2x ≤ 9, which simplifies to x ≤ 4.5. Since x must be a whole number and the camper needs at least one unit of food, the camper can take a maximum of 3 units of food.

Similarly, for first-aid kits, since each kit occupies 1 ft^3 and the camper must take at least one, the constraint is y ≥ 1.

For clothing, each piece takes 3 ft^3, and the constraint is z ≤ (9 - 2x - y)/3.

Now, we need to maximize the total benefit. The benefit of food is assigned as 7, first aid as 5, and clothing as 6. The objective function is 7x + 5y + 6z.

Considering all the constraints, the possible combinations are:

- (x, y, z) = (3, 1, 0) with a total benefit of 7(3) + 5(1) + 6(0) = 26.

- (x, y, z) = (3, 1, 1) with a total benefit of 7(3) + 5(1) + 6(1) = 32.

- (x, y, z) = (4, 1, 0) with a total benefit of 7(4) + 5(1) + 6(0) = 39.

- (x, y, z) = (4, 1, 1) with a total benefit of 7(4) + 5(1) + 6(1) = 45.

Among these combinations, the highest total benefit is achieved when the camper takes 3 units of food, 1 first-aid kit, and 1 piece of clothing.

Therefore, the camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing to maximize the total benefit within the given constraints.

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Working 32 hours a week will fetch you $818

From the question, the given parameters are:

Number of hours = 160

Earnings in a month = $4090

Start by calculating the unit rate

This is calculated using the following unit rate formula

So, we have

Unit rate = Earnings in a month/Number of hours

Substitute the known values in the above equation

So, we have

Unit rate =  4090/160

Evaluate the quotient

Unit rate =  25.5625

For 32 hours, the total earnings is

Total = Unit rate x Number of houts

So, we have

Total = 25.5625 x 32

Evaluate

Total = 818

Hence, you will earn $818 weekly

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Answer:

x = 18

y = 9

y = 9√3/√3 = 9

x = 9×2 = 18

Answer:

82

Step-by-step explanation:

because diagonals are equal in quadrilater

Slope can be calculated using the formula: m= \(\frac{y2 - y1}{x2 - x1}\)

y1/x1 represents the first number in the bracket

y2/x2 represents the second number in the bracket

Calculation

m = \(\frac{y2 - y1}{x2 - x1}\)

m =\(\frac{4 - (-2)}{(-9)-3}\)

m= 6/-12

m= -0.5 or -1/2

Therefore, the answer is B.

Answer:

134

Step-by-step explanation:

first you have to add

Answer:

Just kidding

Step-by-step explanation:

I dont know

Answer:

Inductive reasoning is the opposite of deductive reasoning. Inductive reasoning makes broad generalizations from specific observations. Basically, there is data, then conclusions are drawn from the data. ... Even if all of the premises are true in a statement, inductive reasoning allows for the conclusion to be false.

Step-by-step explanation:

A) we would send Order A to Factory 3.

B) we would send both Order B and Order C to Factory 3.

B 7,000 Factory 3

C 30,000 Factory 3

Total number of units produced for the company today: 37,000

Average cost per unit for all production today: $9.00

To make decisions about which factory to send the orders to on Monday and Tuesday, we need to compare the costs per unit for each factory and consider the total number of units to be produced. Let's go through each day's scenario and make the production decisions.

a) Monday: Order A for 15,000 units

To decide which factory to send the order to, we compare the costs per unit for each factory. We select the factory with the lowest cost per unit to minimize the average cost per unit for the company.

Let's assume the costs per unit for each factory are as follows:

Factory 1: $10 per unit

Factory 2: $12 per unit

Factory 3: $9 per unit

To calculate the total cost for each factory, we multiply the cost per unit by the number of units:

Factory 1: $10 * 15,000 = $150,000

Factory 2: $12 * 15,000 = $180,000

Factory 3: $9 * 15,000 = $135,000

Based on the calculations, Factory 3 has the lowest total cost for producing 15,000 units, with a total cost of $135,000. Therefore, we would send Order A to Factory 3.

b) Tuesday: Order B for 7,000 units and Order C for 30,000 units

We have two options: sending each order to a separate factory or sending both orders to the same factory. We need to compare the average cost per unit for each option and select the one that results in the lowest average cost per unit.

Let's assume the costs per unit for each factory remain the same as in the previous example. We will calculate the average cost per unit for each option:

Option 1: Sending orders to separate factories

For Order B (7,000 units):

Average cost per unit = ($10 * 7,000) / 7,000 = $10

For Order C (30,000 units):

Average cost per unit = ($9 * 30,000) / 30,000 = $9

Total number of units produced for the company today = 7,000 + 30,000 = 37,000

Average cost per unit for all production today = ($10 * 7,000 + $9 * 30,000) / 37,000 = $9.43 (rounded to two decimal places)

Option 2: Sending both orders to the same factory (Factory 3)

For Orders B and C (37,000 units):

Average cost per unit = ($9 * 37,000) / 37,000 = $9

Comparing the two options, we see that both options have the same average cost per unit of $9. However, sending both orders to Factory 3 simplifies the production process by consolidating the orders in one factory. Therefore, we would send both Order B and Order C to Factory 3.

Production Report for Tuesday:

Order # of Units Factory

B   7,000      Factory 3

C  30,000    Factory 3

Total number of units produced for the company today: 37,000

Average cost per unit for all production today: $9.00

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Answer:

\(\sqrt{16}\sqrt{11}\)

Step-by-step explanation:

\(\sqrt{176}\implies \sqrt{16\cdot 11}\implies \sqrt{4^2\cdot 11}\implies 4\sqrt{11}\)