sample of 225 elements from a population with a standard deviation of 90 is selected. The sample mean is 165. Find the 98% confidence interval for ????.

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How many times does 2 minutes go into 6 minutes?

6/2=3

So, the dog rolls over 25 times 3 times!

25(3)=75

Therefore, the dog can roll over 75 times in 6 minutes.

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Answer:

you multiply 5/6 5 times to git 4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hence, the option (A) is the correct answer i.e., On a coordinate plane, two lines intersect at one point

What are the one solution ?

One Solution Equation is when an equation has only one solution. This means that when you solve an equation, the variable can only be subsituted by one number to make an equation true.

So, when the two lines passes and intersect at one point it forms one solution so that is why option (A) is correct i.e., On a coordinate plane, two lines intersect at one point.

Hence, the option (A) is the correct answer i.e., On a coordinate plane, two lines intersect at one point

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The greatest number of batches Wendy can make is 2.To find the greatest number of batches Wendy can make, we need to determine how many batches can be made with the available amounts of flour and butter.

To make one batch of cookies, Wendy needs 3/4 cup of flour and 1/3 cup of butter.
Wendy has 2 cups of flour and 3/4 cup of butter.
To calculate the number of batches of cookies Wendy can make with the available flour, we divide the amount of flour Wendy has (2 cups) by the amount of flour needed for one batch (3/4 cup).
2 cups ÷ 3/4 cup

= (2/1) ÷ (3/4)

= 8/3

≈ 2.67 batches
Since Wendy cannot make a fraction of a batch, she can make a maximum of 2 batches of cookies with the available flour.

To calculate the number of batches of cookies Wendy can make with the available butter, we divide the amount of butter Wendy has (3/4 cup) by the amount of butter needed for one batch (1/3 cup).
3/4 cup ÷ 1/3 cup = (3/4) ÷ (1/3)

= 9/4

= 2.25 batches
Again, Wendy cannot make a fraction of a batch, so she can make a maximum of 2 batches of cookies with the available butter.

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Answer:

point form:(2,-2),(-3,13)

Step-by-step explanation:

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

Answer:

61 seconds

Step-by-step explanation:

36 divided by 7 = 5.1 seconds so if you add 5 to 36 five more times you'll get the answer which is 61.

Answer:

61 seconds

Step-by-step explanation:

36 divided by 7 = 5.1 seconds so if you add 5 to 36 five more times you'll get the answer which is 61.

The average slope value of f(x) on the interval (0,2) is (f(2) - f(0))/(2 - 0). Then, by the Mean Value Theorem, there exists a number c in (0,2] such that f'(c) equals the average slope value.

Given f(x) = 1 + x^2, we can find the average slope value of f(x) on the interval (0,2) by calculating the difference in function values at the endpoints divided by the difference in x-values:

Average slope = (f(2) - f(0))/(2 - 0)

Substituting the values into the formula:

Average slope = (1 + 2^2 - (1 + 0^2))/(2 - 0) = (5 - 1)/2 = 4/2 = 2

Now, according to the Mean Value Theorem, if a function is continuous on a closed interval and differentiable on the open interval, there exists a number c in the open interval such that the instantaneous rate of change (derivative) at c is equal to the average rate of change over the closed interval.

Therefore, there exists a number c in (0,2] such that f'(c) = 2, which is equal to the average slope value.

To find the absolute maximum and minimum values of f(x) on the interval [0,2], we need to evaluate the function at the critical points (where the derivative is zero or undefined) and at the endpoints of the interval.

The derivative of f(x) = 1 + x^2 is f'(x) = 2x. Setting f'(x) = 0, we find the critical point at x = 0. Evaluating the function at the critical point and the endpoints:

f(0) = 1 + 0^2 = 1

f(2) = 1 + 2^2 = 5

Comparing these function values, we can conclude that the absolute minimum value of f(x) on the interval [0,2] is 1, and the absolute maximum value is 5.

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Answer:

x = 1.25y

Step By Step

whole sale price = x

selling price = y

since the whole sale price is 25% (0.25) more than the selling price,

x=y+y0.25, or x=1.25y

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Mr. Titus travels a total of 7476 miles annually between Charlotte, North Carolina, and New York City.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Given that twelve times a year, Mr. Titus makes the trip from Charlotte to New York City and back. Each round trip covers a total distance of 623 miles.

The total distance will be calculated as:-

Distance = 12 x 623

Distance = 7476 miles

Therefore, Mr. Titus' annual mileage between Charlotte, North Carolina, and New York City is 7476 miles.

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Answer:

x = 13

Step-by-step explanation:

a) The function is increasing on these following intervals: (0,1), (3,5).

b) The function is decreasing on these following intervals: (1,3) and (5,6).

c) The extremas are given as follows:

The function is increasing when the derivative is positive, hence the intervals are given as follows:

(0,1) and (3,5).

The function is decreasing when the derivative is negative, hence the intervals are given as follows:

(1,3) and (5,6).

The relative extremas are the values for which the derivative is of zero, hence:

The graph of the derivative is given by the image presented at the end of the answer.

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four is the minimal because you want to draw all four to the four of a kind

Answer:

x=0

Step-by-step explanation:

2x-9=0

2x=9

x=9/2

4x+10=0

4x=-10

x=-5/2

2(9/2)-9 =0

4(-5/2)+10=10

The area of parallelogram is 28 square unit.

The correct option is (b)

A parallelogram is a geometric object with sides that are parallel to one another in two dimensions. It is a form of polygon with four sides (sometimes known as a quadrilateral) in which each parallel pair of sides have the same length.

The Area of Parallelogram is the product of the base and the perpendicular height (Altitude).

So, Area of Parallelogram = Base x Height

Given:

Base= 7 unit

Height= 4 unit

So, the Area of Parallelogram

= Base x Height

= 7 x 4

= 28 square unit.

Hence, the area is 28 square unit.

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173 would be dividable by at least one prime number less than or equal to 173 13.2 if it weren't a prime number. Since 173 cannot be divided evenly by 2, 3, 5, 7, 11, or 13, we know it is a prime number.

173 is a prime number.

Prime factorization: 173 is prime.

The exponent of prime number 173 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 173 has exactly 2 factors.

Factors of 173: 1, 173

Factor pairs: 173 = 1 x 173

173 has no square factors that allow its square root to be simplified. √173 ≈ 13.1529

If 173 were not a prime number, then it would be divisible by at least one prime number less than or equal to √173 ≈ 13.2. We know that 173 is a prime number since it cannot be divided by 2, 3, 5, 7, 11, or 13 in an equal amount.

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The supply curve swings left along the demand curve, raising the price of the pizza shops to close. If individuals just have a greater interest in beer, the demand curve will shift to the right, which will cause the price to rise as the supply curve is moved to the right. Apply this knowledge to the rest of the analysis.

If the price increase was modest, then the movement in supply in the pizza market must have outweighed the shift in demand. The supply shift in the pizza market must have been greater than the demand shift if the equilibrium amount of pizzas declines. The price of pizzas must have changed as a result of whichever modification happened first. If the amount of pizzas in the equilibrium market falls, the demand shift must have been greater than the supply shift.

The demand curve changes to its proper position. It happens as a result of people switching to eating pizza instead of pizzas. The new equilibrium price rises as a result of the new demand curve and the existing supply curve.

A rise in supply and a decline in demand will result in a decrease in the equilibrium price, but the impact on the equilibrium quantity cannot be predicted. Consumers now place less significance on price for any quantity, and producers are willing to simply accept a lower price; as a result, the price will decrease.

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Answer:

10

Step-by-step explanation:

We cannot use the Pythagorean Theorem here because we only have one side length. However, we can use the fact that \(\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}\)

I decided to make the corner with the 60° as ∠A, the corner with the 30° as ∠B, and the corner with the right angle as ∠C. While then making side a as the unmarked side, side b as the side with 5, and the hypotenuse p as side c.

Since we do not need to solve for a in this equation to solve for p, we can simply use the sides and numbers we are given.

Manipulating two of our equations, preferably the equations with the variables b and c, we can get \(\frac{b}{sin(B)}=\frac{c}{sin(C)}\) and solving for c, which is p in this case, will give us \(c=\frac{bsin(C)}{sin(B)}\)

Plugging in the numbers we have gives us \(c=\frac{5sin(90)}{sin(30)}\) = 10 mi

If 2 ≤ |x - y| ≤ 3 and |x - 1| ≤ 1, then 1 ≤ |y - 1| ≤ 4, meaning the absolute difference between y and 1 is between 1 and 4.

\Let's consider the given conditions:

1. 2 ≤ |x - y| ≤ 3

2. |x - 1| ≤ 1

From the second condition, we have -1 ≤ x - 1 ≤ 1, which implies 0 ≤ x ≤ 2.

Now, let's analyze the possible values for |y - 1|:

1. When x - y ≥ 0:

  - From the first condition, we have 2 ≤ x - y ≤ 3.

  - Adding x to all sides: 2 + x ≤ y ≤ 3 + x.

  - Since 0 ≤ x ≤ 2, we get 2 ≤ y ≤ 5.

  - Subtracting 1 from all sides: 1 ≤ y - 1 ≤ 4.

  - Therefore, 1 ≤ |y - 1| ≤ 4.

2. When x - y < 0:

  - From the first condition, we have -3 ≤ x - y ≤ -2.

  - Adding x to all sides: -3 + x ≤ y ≤ -2 + x.

  - Since 0 ≤ x ≤ 2, we get -3 ≤ y - 1 ≤ 0.

  - Therefore, 1 ≤ |y - 1| ≤ 3.

Combining both cases, we conclude that 1 ≤ |y - 1| ≤ 4.

Thus, we have shown that if x, y ∈ R with 2 ≤ |x - y| ≤ 3 and |x - 1| ≤ 1, then 1 ≤ |y - 1| ≤ 4.

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The area of the circle is 30.2 square feet. Then the correct option is B.

Given that:

Diameter, d = 6.2 feet

Let r be the radius of the circle. Then the area of the circle will be given as,

A = πr² square units

The radius of the circle is given as,

r = d / 2

r = 6.2 / 2

r = 3.1 feet

The area of the circle is calculated as,

A = 3.14 x (3.1)²

A = 3.14 x 9.61

A = 30.1754

A ≈ 30.2 square feet

Thus, the correct option is B.

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The values of the vectors of AB = b - a , MN = 29a - b/2 and MP = b/2 + (k + 1)( b - a)

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

We have been given that OB = b and OA = a

From ΔAOB we have;

OB + BA + AO = 0

b + (- AB ) -a = 0

AB = b - a

Now from ΔMNO we have;

MN + NO + OM = 0

MN + ( -ON) + OB/ 2 = 0

MN - (OA + AN ) + b/2 = 0

MN - ( a + 30a) + b/2 = 0

MN = 29a - b/2

Now from ΔMBP , we have;

MB + BP + PM = 0

OB/2 + (BA - PA) + PM = 0

b/2 + ( - AP/k + AP) + PM = 0

b/2 + ( -kAB /k + kAB) + PM = 0

b/2 + ( k AB + AB ) + PM ) = 0

PM = -b/2 - (k + 1) (b - a)

MP = b/2 + ( k+1) (b - a)

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The algebraic expression is 2/3(2y + y)

The length of the 2/3 feet long

It is broken into two parts x and y

If x is twice the length of y, we have

x = 2y

The algebraic expression is 2/3/x + y , if x = 2y

We have that,

2/3(2y + y)

Thus, the algebraic expression is 2/3(2y + y)

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Answer- 9 shelves

In order to find out how many shelves are need we must divided 175 into 20. 175 divided by 20 is 8.75. But, because you cannot have have .75 of a shelf, you have to round this to a whole. This means that 9 shelves will be the least needed number of shelves need to store 175 books. To check this answer 20 books X 8 shelves is 160 books, which means eight shelves can only store 160 books, we will need and additional shelf to store the last 15 books.

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Answer:

$30

Step-by-step explanation:

You do :  22.50/0.75  

because when you take off 25% you times 0.75 and 22.50 together.  To undo that you divide

Answer:

Area: 776.7 ft²

Perimeter: 55.1 ft

Step-by-step explanation:

The figure is composed of two semi-circles and a rectangle, solve for the area of each figure:

Two semi-circles (which is one circle because they have the same diameter):

\(A_1=\pi r^2\\A_1=\pi 7.5^2\\A_1=176.714586764...\)

The rectangle:

\(A_2=bh\\A_2=4*15\\A_2=60\)

Add them up to get:

\(A=176.714586764...+600\\A=776.714586764...\)

Rounding gives 776.7

Now, the perimeter.

Solve for the circumference of the circle and add only the bases of the rectangle:

\(C=d\pi \\C=15\pi\\C=47.1238898038...\)

And add the two bases:

\(P=47.1238898038...+2b\\P=47.1238898038...+2(4)\\P=47.1238898038...+8\\P=55.1238898038...\)

Rounding gives 55.1

And don't forget to put the units.

The correct statements are:

b) Ordering costs decrease with respect to lot size,

c) It is good to have fixed interval ordering systems for products that have independent demand,

e) Taxes and insurance costs can be considered as carrying costs of inventory,

f) Costs incurred for defective products identified after the products are shipped are classified as internal failure costs,

h) Costs of repairing faulty products under warranty are limited to external failure costs, and j) Under EOQ inventory model, there is an assumption which states that there is no possibility of inventory stockout to occur.

b) Ordering costs decrease with respect to lot size: Ordering costs involve the expenses incurred when placing orders for inventory, such as administrative costs, processing fees, and transportation costs.

When the lot size increases, the frequency of placing orders decreases, resulting in lower ordering costs per unit. This is because the fixed costs associated with ordering are spread over a larger quantity of inventory.

c) It is good to have fixed interval ordering systems for products that have independent demand: Fixed interval ordering systems involve placing orders at regular intervals, regardless of the inventory level.

This approach is suitable for products with independent demand, where the demand is unpredictable or sporadic. By setting fixed intervals, the company can ensure a consistent replenishment schedule and avoid stockouts while optimizing inventory levels.

e) Taxes and insurance costs can be considered as carrying costs of inventory: Carrying costs are the expenses associated with holding and storing inventory.

They include costs such as storage fees, insurance premiums, taxes on inventory, and the opportunity cost of tying up capital in inventory. Taxes and insurance costs directly impact the financial burden of inventory holding and are considered as components of carrying costs.

f) Costs incurred for defective products identified after the products are shipped are classified as internal failure costs: Internal failure costs are expenses incurred due to quality issues discovered within the company's operations.

In the context of inventory, costs related to defective products identified after they are shipped, but before reaching the customer, fall under internal failure costs. These costs include rework, scrap, and any necessary corrective actions taken to address the quality problems.

h) Costs of repairing faulty products under warranty are limited to external failure costs: External failure costs are the expenses incurred due to quality issues discovered by customers after the products have been delivered.

When faulty products are repaired under warranty, the costs associated with the repairs are considered external failure costs. This includes the direct costs of repairing or replacing the faulty products and any associated customer service expenses.

j) Under EOQ inventory model, there is an assumption which states that there is no possibility of inventory stockout to occur: The Economic Order Quantity (EOQ) model is a widely used inventory management technique.

It assumes that demand for the product is constant and known with certainty, there are no quantity discounts or price variations, and there is no possibility of stockouts occurring.

The assumption of no stockouts simplifies the calculations and ensures that the optimal order quantity obtained from the model will meet the demand without interruptions.

However, in real-world scenarios, stockouts can occur due to unforeseen factors, variability in demand, or supply chain disruptions.

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Answer:

140m

Step-by-step explanation:

perimeter of a square with area 49 is 7×4=28, 28 × 5 rounds = 140m

The statement that "the tribe is the οldest sοciοpοlitical type; the tribe predates the state" is a widely accepted view in anthrοpοlοgy and archaeοlοgy.

It suggests that human sοcieties evοlved frοm smaller, kinship-based grοups knοwn as tribes befοre transitiοning tο larger, centralized fοrms οf pοlitical οrganizatiοn knοwn as states.

Tribes are characterized by a clοse-knit sοcial structure based οn kinship ties, with members sharing cοmmοn ancestry and οften living in smaller, decentralized cοmmunities. Tribal sοcieties typically have egalitarian sοcial structures, with leadership based οn kinship οr achieved status rather than fοrmal hierarchical systems.

As human sοcieties evοlved, sοme tribes eventually develοped intο states, which are characterized by centralized pοlitical authοrity, fοrmal legal systems, and defined territοrial bοundaries. States οften have mοre cοmplex sοcial hierarchies, specialized institutiοns, and a mοnοpοly οn the use οf fοrce.

The transitiοn frοm tribes tο states is believed tο have οccurred gradually οver thοusands οf years, as human pοpulatiοns grew and interactiοns between grοups increased. The emergence οf agriculture, surplus prοductiοn, and the need fοr larger-scale gοvernance are οften cited as factοrs cοntributing tο the develοpment οf states.

While the specific timeline and prοcesses οf this transitiοn are still subjects οf οngοing research and debate, it is generally accepted that tribal sοcieties predate the develοpment οf states in human histοry.

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