Solve for k.
k - 1 = 1
k=

Answer:

Below.

Step-by-step explanation:

The dimensions are  5.75m * 6.5 m

= 575cm * 650 cm.

Finding the GCF:

575 = 5 * 5 * 23

650 = 5 * 5 * 26

- so t he Greatest Common Factor of these 2 is 25cm.

575 / 25 = 23

650 / 25 = 26.

So we need 23 tiles along the width of the room and the length will have 26 tiles.

Each tile with be 25cm * 25 cm. in size and the number of tiles = 23*26

= 598.

Answer:

Step-by-step explanation:

ABE is tangent to the circle then m∡OBE = m∡OBD = 90

Then m∡OBD = 90 - 58 = 32

In the triangle DAB :

m∡CAB = m∡DAB = 180 - [m∡BDA + (m∡DBA)]

                                = 180 - [     32       + (90 + 32)]

                                = 180 - [     32       + ( 122) ]      

                                = 180 - [ 154 ]    

                                = 26                    

Answer:

B) 26°

Step-by-step explanation:

Finding ∠OBD

Then, ∠ADB = ∠OBD = 32° (angles opposing equal sides OB and OD, both of which are radii of the circle.

Finding ∠CAB

Answer:

Step-by-step explanation:

49.3488

according to the question

given data in the question,

the type of sample-

random stratified sampling

The usage of satisfied sampling may be required for a variety of distinct features.

The population is first split into two or more strata or subgroups in this kind of random sampling. Beginning with the sampling procedure, each unit is assigned to one stratum based on the unit's historical performance. Following that, separate random samples are chosen using a basic random sampling technique from each stratum, which contains a percentage of the population. that is, they are both mutually and jointly exhaustive.

The traits that we are evaluating are distinct from those of members of another stratum and similar to those of the sample unit stratum.

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the type of sample that proportionately reflects the relevant diversity of opinions in the population from which it is drawn is random stratified sampling

A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.

The sample size in statistics is a measurement of the total number of samples utilized in an experiment. The sample size is 50, for instance, if we are evaluating 50 samples of city dwellers who watch TV. It's also known as sample statistics.

Considering the query

the information in the query

a sample's type-

stratified sampling at random

For a number of unique traits, satisfied sampling may be necessary.

In this type of random sampling, the population is initially divided into two or more strata or subgroups. Each unit is categorized into a stratum at the start of the sampling process depending on its prior performance. A basic random sampling approach is then used to select distinct random samples from each stratum, which represents a portion of the population. they are mutually and jointly exhaustive, in other words.

The characteristics that we are examining are different from those of members of one stratum and comparable to those of the stratum that contains the sample unit.

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Answer:

shshjshshsbs

Step-by-step explanation:

shzjshsjjsisjs

Answer:

5 1/3

Step-by-step explanation:

You turn 1 1/3 into an improper fraction by multiplying 3 time 1 plus 4 and you get 4/3. you multiply 4/1 time 4/3 and get 16/3. 16/3 divided by 3 = 5 with a remainder of 1 and get 5 1/3

The line we want is given by the vector equation

L(t) = (4i + 3j - k) t + (5i + 2.5j + 3.1k)

L(t) = (4t + 5) i + (3t + 2.5) j + (-t + 3.1) k

As parametric equations, we write

x(t) = 4t + 5

y(t) = 3t + 2.5

z(t) = -t + 3.1

Given the formula

This is the formula to obtain the volume of a square pyramid, not a square prism; we will solve the question using the formula above, nonetheless.

Solve for h as shown below

The answer is h=3V/s^2.

Set V=60cm^3, and s=6cm; then,

Therefore, the answer is h=5cm.

Therefore, the correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.

Based on the given information, D represents the null hypothesis (H₀) and E represents the alternative hypothesis (Hₐ).

The null hypothesis (H₀) is a statement that there is no significant difference between the observed data and the expected results. In this case, the null hypothesis is that the population mean (μ) is greater than or equal to 1000.

The alternative hypothesis (Hₐ) is a statement that there is a significant difference between the observed data and the expected results. In this case, the alternative hypothesis is that the population mean (μ) is less than 1000.

Correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.

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There are 2,300 ways that 3 students can be chosen from a group of 25.

Mrs. Cook needs three people to help her move a box. 3 students need to be chosen from a group of 25. We need to determine whether this is a permutation or a combination problem. In order to do so, let's understand the difference between permutation and combination.ProbabilityPermutation: A permutation is a way to arrange or select objects from a larger group where the order matters. When the order in which objects are arranged or selected is important, it is referred to as a permutation. Combination: A combination is a way to choose objects from a larger group where the order does not matter. When the order is not important, it is referred to as a combination.Now, let's look at the question. Mrs. Cook only needs 3 students to help her. This is a combination problem, as the order in which the students are chosen is not important. We can use the formula for combinations to solve the problem.Combination Formula:The formula for a combination of n objects taken r at a time is given by the following: `nCr = n!/(r!(n-r)!)`Now, let's substitute the values into the formula:n = 25 (the total number of students)r = 3 (the number of students needed)Number of ways to choose 3 students from 25 students:`25C3 = 25!/(3!(25-3)!) = (25*24*23)/(3*2*1) = 2,300`Therefore, there are 2,300 ways that 3 students can be chosen from a group of 25.

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The polynomial has a real zero on the given interval, because f(1) = O and f(4) = B. Therefore, the correct choice is OB.

The intermediate value theorem states that if the function f is continuous on the closed interval [a,b] and if N is any number between f(a) and f(b),

where f(a) ≠ f(b), then there is at least one number c in [a,b] such that

f(c) = N.

This means that the function takes on every value between f(a) and f(b), including N.
The polynomial

f(x) = x³ + 2x - 8

has a real zero on the interval [1,4] using the intermediate value theorem.

To prove this, we find that

f(1) = -5 and f(4) = 44.

Therefore, since f(1) is negative and f(4) is positive, then by the Intermediate Value Theorem, the polynomial has a real zero on the interval [1,4].

Therefore, the correct choice is OB. The polynomial has a real zero on the given interval, because f(1) = O and f(4) = B.

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Answer:

I'm sorry I don't know this here

Step-by-step explanation:

Answer:A

Step-by-step explanation:

The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.

To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.

In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:

ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)

Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:

ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134

Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.

Therefore, the value of the error for Z, with one decimal place, is 4.

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Answer:

Yes, 6.

Step-by-step explanation:

it says it on the picture?

Anyways,

21-3=18

18+18=36

36÷6=6

Answer:  21 – 3 + 18 ÷ 6 = 6. Twenty-one minus 3 is 18, then add 18 to that to get 36. Then divide that by 6 to get the correct answer, 6

Step-by-step explanation:

Answer:

v=3w

Step-by-step explanation:

The correct option is D. Asking 80 owners their attitude toward a new design would be an example of a sample.

If a target population is defined as all 2,134 pickup truck owners residing in Tippecanoe County, then asking 80 owners their attitude toward a new design would be an example of a sample.

Because the survey is conducted on a limited group of people who represent the larger population. Therefore, the survey conducted on the sample represents the population as a whole. The sample is a representative subset of the entire population, which can be used to infer statistics and characteristics of the whole population. A statistical frame is a technique used to choose a representative sample of the population.

Asking only owners listed in the telephone directory would not be an example of a statistical frame. Instead, it would be an example of a bias selection because it excludes owners who are not listed in the telephone directory. Asking 100 owners their attitude toward a new truck style would not be an example of a consensus as consensus is a general agreement among the people.

However, the survey conducted on a sample can be used to find out a general consensus. Universal testing is not feasible because it would involve surveying each and every member of the population, which is both time-consuming and expensive.

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The complete question is:

Answer: A & C

Step-by-step explanation:

Line : A line is a collection of infinite points in two opposite directions.

Segment : Segment is a part of line having two fixed endpoints.

From the picture attached,

AC is a segment having two fixed endpoints A and C.

And two arrows joining these points and moving in opposite directions are forming a line.

Therefore, two points that determine line AC are A and C.

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The train will arrive at its final destination at 2:57 P.M. in the afternoon.

The total distance of the trip is 221 miles and the train travels at an average speed of 34 miles per hour. Using the formula:

time = distance / speed

We can calculate the total time it will take for the train to complete the journey without stopping at stations:

time = 221 / 34 = 6.5 hours

However, the train stops at each of ten stations for four minutes each, so the total time spent stopping is 10 x 4 = 40 minutes, or 0.67 hours. Therefore, the total time the journey will take, including the stops, is:

total time = 6.5 + 0.67 = 7.17 hours

The train departs at 7:30 A.M., so we can add 7.17 hours to this time to find the arrival time:

7:30 A.M. + 7.17 hours = 2:57 P.M.

Therefore, the train will arrive at its final destination at 2:57 P.M. in the afternoon.

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Answer:

10x is equal to 100 so 100+6=106

then

Step-by-step explanation:

4x is equal to 8 so 4+18=22

so it's 128

Answer:

Step-by-step explanation:

f(-2) = 3 - (-2)^2 = 3 -4 = -1

Among the given options, the "Success/Failure Condition" is not a requirement for testing means. The other three options—Randomization, Nearly Normal Condition, and 10% Condition—are necessary conditions to be considered when conducting hypothesis tests on means.

Randomization: Randomization is essential to ensure that the samples being compared are representative of the population and to minimize bias. Random assignment of individuals to treatment groups helps control for confounding variables and increases the validity of the statistical analysis.

Nearly Normal Condition: The Nearly Normal Condition assumes that the data follows a roughly normal distribution within each group being compared. This condition is important because many statistical tests, such as t-tests, rely on the assumption of normality to provide accurate results.

10% Condition: The 10% Condition is relevant when sampling from a finite population. It states that the sample size should be no more than 10% of the population size to ensure that the sampling process does not significantly affect the population distribution.

Success/Failure Condition: The Success/Failure Condition is not directly related to testing means. It is typically associated with tests involving proportions, where the condition specifies that both the number of successes and the number of failures should be at least 10 in each sample or category being compared.

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Changing  from rectangular to spherical coordinates is: (2, π/2,0)

Spherical Coordinates:

In mathematics, a spherical coordinate system is a coordinate system in three-dimensional space in which the position of a point is specified by three numbers: the radial distance of the point from a fixed origin, the polar angle measured at from a fixed zenith direction, and its Azimuth orthogonal projection on a reference plane passing through the origin and normal to the vertex, measured from a fixed reference direction on this plane.

According to the Question:

To change the coordinates from rectangular to spherical we have to use these formulae:

     \(A = \sqrt{x^{2} + y^{2} + z^{2} }\)

And, ∅ = arctan (y/x)

θ = \(arccos = \frac{z}{\sqrt{x^{2} +y^{2} +z^{2} } }\)

So, the given points is (0,-2,0)

     \(A = \sqrt{0^{2} + (-2)^{2} + 0^{2} }\)

Or, A = √4

Or, A = 2

And, ∅ = arctan (2/0)

           =  arctan (∞) = π/2

    θ = \(arccos = \frac{0}{\sqrt{0^{2} +(-2)^{2} +0^{2} } }\)

⇒ θ = \(arccos = \frac{0}{\sqrt{(-2)^{2} } }\)

⇒ θ = arcos (0)

Therefore,

The point becomes: (2, π/2,0)

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The measure of angle BAP is (180° - ∠APB)°/2

In Mathematics and Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value. Generally speaking, the degree measure of an arc in a circle is always equal to the central angle that is present in the included arc.

Based on the information provided about this circle with center P, we can logically deduce the following properties:

arc ACB = m∠APB (Angles between the radii subtended by the arc are congruent).

m∠BAP ≅ m∠PBA (Base angles of a triangle are congruent)

m∠APB + m∠BAP + m∠PBA = 180° (Sum of interior angles in a triangle)

m∠APB + m∠BAP + m∠BAP = 180° (Substitution property)

m∠APB + 2m∠BAP = 180° (Addition property)

m∠BAP = (180° - ∠APB)/2

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To divide a circle into 14 parts, simply draw a line from the center of the circle to the circumference, then divide the circumference into 14 equal parts.

To divide a circle into 14 parts, start by drawing a line from the center of the circle to the circumference. Then, use a protractor or other tool to draw a line that divides the circumference into two equal parts. Next, use the same tool to draw a line that divides each of the two equal parts into seven equal parts. Finally, draw a line from the center of the circle to the points of intersection of each of the seven equal parts. This will divide the circle into 14 equal parts.

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Using the information provided, it appears that your neighbor will not save money by picking up the soil himself as its total cost is $103.86 as opposed to cost of delivery $30.

Here is a detailed breakdown of the calculations and assumptions made:

The area of the yard is estimated to be around 7,200 sq.ft. Assuming a 4 inch layer of topsoil, this requires 4 cubic yards (1 cubic yard = 27 cubic feet).

The cost of the soil delivery is $30 per truckload (up to 18 cubic yards). So the delivery cost for 4 cubic yards of soil would be $30.

The cost of topsoil per cubic yard is $18. Thus, the total cost of the topsoil is $72.

The weight of topsoil is 2000 pounds per cubic yard, so the total weight of the soil is 8,000 pounds (4 cubic yards x 2000 pounds).

The pickup truck's payload capacity is 1800 pounds, so the truck can only transport 1/4 of the total weight of the soil (1800/8000 = 0.225). Thus, it would require 4 trips to transport the soil, and the total trip distance is 36 miles (9 miles x 4 trips).

The truck gets 17 miles per gallon, so it would require 2.1 gallons of gas for each trip (36 miles/17 mpg = 2.12). The total amount of gas needed for the 4 trips is 8.4 gallons (2.1 gallons x 4 trips). The cost of gas per gallon is assumed to be $3.79, so the total cost of gas for the 4 trips is $31.86.

Thus, the total cost of picking up the soil himself is $31.86 + $72 = $103.86. This is higher than the cost of delivery which is only $30, so it would be better to pay for delivery.

To conclude, your neighbor will not save money by picking up the soil himself, and it is recommended that he pays for delivery.

Note: The question is incomplete. The complete question probably is: He has decided to remove all the old sod (grass), bring in a new 4 inch layer of topsoil, install new in-ground sprinklers, and reseed the lawn. He seems to think that he'll be able to save money by hauling loads of topsoil from the store himself in his pickup truck, rather than paying for delivery, but I don't think he's right. You're going to help us settle this. Here is (most of) the information you asked for:

Using this information, figure out whether my neighbor will save money by picking up the soil himself. Use the results of your calculations to guide your decision: would you recommend that my neighbor pick up the soil himself, or pay for delivery? Detail all your assumptions and calculations, and clearly write out your final conclusions.

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Answer:8.24

Step-by-step explanation:

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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