A random sample of American toads were measured and the proportion of toads that were over 1 ounce in weight recorded. The measurements resulted in a sample proportion of p′=0.16, with a sampling standard deviation of σp′=0.02.
Write a 95% confidence interval for the true proportion of American toads that are over 1ounce in weight.

Answer: The total cost to order 12 tickets is $378.05

Step-by-step explanation:

Let y represent the cost for x number of tickets.

Since the cost for 5 tickets is $174.45, it can be represented by the point (5, 174.45).

The cost for 8 tickets is $271.95, it can be represented by the point (8, 271.95).

y = 32.5x - 11.95

The cost for 12 tickets is:

y=32.5(12) - 11.95 = 378.05

Hence the total cost to order 12 tickets is $378.05

Awnser:

EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

The scale factor used in the dilation is 2

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

SQ = 4

S'Q = 4 + 4

So, we have

S'Q = 8

The scale factor is calculated as

Scale factor  = S'Q/SQ

Substitute the known values in the above equation, so, we have the following representation

Scale factor  = 8/4

Evaluate

Scale factor = 2

Hence, the scale factor used in the dilation is 2

Read more about scale factor at

brainly.com/question/32805792

#SPJ1

The perimeter measures around 36 metre.

The perimeter refers to the area surrounding an object. For instance, your house has a fenced-in yard. The perimeter is the length of the fence. If the yard is 50 feet by 50 feet, your fence is 200 feet long.

While 12.74 rounds up to 13, 5.45 rounds down to 5. Recatangle created a total of four sides, two of which are identical in length to the other two (which is a poor way to explain it). There are two sides that are 13 inches long and two sides that are 5 inches long, which is the solution to this question. When added together, the perimeter would be 13+13+5+5.

As an expression,

2(13)+2(5)

=26+10

=36.

The perimeter is approximately 36 meters.

To know more about perimeter is approximately, visit:

https://brainly.com/question/6465134

#SPJ4

In a symmetric histogram, you have the same number of points to the left and to the right of the median. An example of this is the distribution {1,2,3,4,5}. We have 3 as the median and there are two items below the median (1,2) and two items above the median (4,5).

If we place another number into this distribution, say the number 5, then we have {1,2,3,4,5,5} and we no longer have symmetry. We can fix this by adding in 1 to get {1,1,2,3,4,5,5} and now we have symmetry again. Think of it like having a weight scale. If you add a coin on one side, then you have to add the same weight to the other side to keep balance.

Answer:

3

Step-by-step explanation:

because divide Pt from both sides to get r=i/(pt)

The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

KLnow more about coordinates here;

https://brainly.com/question/32836021

#SPJ11

The maximum value of the objective function Z = 40x₁ + 5x₂, subject to the constraints x₁ + x₂ ≤ 5 and 6x₁ + x₂ ≤ 20, where x₁, x₂ are integers between 0 and 25, can be found using the branch and bound method.

To solve this problem, we start with an initial solution by considering the constraints and finding the feasible region. Then, we compute the objective function for this initial solution. Next, we branch the problem into subproblems by considering different combinations of x₁ and x₂. We calculate the lower bounds for each subproblem to determine the potential for improvement. We continue branching and bounding until we find the optimal solution with the maximum value of Z.

The branch and bound method systematically explores the solution space, optimizing the objective function by considering different feasible regions. It provides a structured approach to find the optimal solution for linear programming problems.

Know more about maximum value here:

https://brainly.com/question/22562190

#SPJ11

Answer:

Option 3

Step-by-step explanation:

The bisection of an angle is the division of that angle into two equal angles. The bisection of an angle is done by drawing a line (known as angle bisector) that splits the angle into two angles of equal measure.

Below shows how to bisect an angle:

The figures below are similar.  By using this, the perimeter of the smaller rectangle P₂ = 3 cm.

When applying a scale factor, similar shapes are enlarged versions of one another. All of the corresponding angles and lengths in related shapes are equal and in the same ratio.

We divide the length of the enlarged shape by the length of the original shape to calculate the length scale factor.

The ratio of perimeter of both shapes is same as the ratio their corresponding side.

Given that one side of shape 1 is 4 cm and its perimeter P₁ is 12 cm.

and the corresponding side of shape 2 is 1 cm.

comparing the sides and perimeter of both shapes we get

4cm/1cm = 12cm/P₂

by cross multiplication we get,

4 * P₂ = 12cm * 1

P₂ = 12cm/4

P₂ = 3cm

So the perimeter of the smaller rectangle P₂ = 3 cm.

To learn more about similarity of shapes visit:

brainly.com/question/29714189

#SPJ1

Answer: x= -2/3

Step 1: Subtract 6x from both sides.

15x+8−6x=6x+2−6x

9x+8=2

Step 2: Subtract 8 from both sides.

9x+8−8=2−8

9x=−6

Step 3: Divide both sides by 9.

9x

9

=

−6

9 x=

−2

3

A deck has a total of 52 cards.

The probability of getting a black 4 is then:

A person who does not ignore a sunk cost increases the probability of making irrational decisions. This is because they are more likely to continue investing time, money, or effort into a project or situation that is not yielding positive results.

When we refer to a "sunk cost," we mean a cost that has already been incurred and cannot be recovered. Ignoring a sunk cost means not taking it into consideration when making decisions about the future. By not ignoring a sunk cost, individuals may feel a psychological attachment to their past investment, leading them to continue investing in something that may not be beneficial.

This can result in irrational decision-making and potentially wasting additional resources. For example, imagine a person who has spent a significant amount of money on a gym membership but rarely goes to the gym. Instead of accepting the fact that the money is already spent and may not be recouped.

They may feel compelled to continue paying for the membership in the hopes of eventually utilizing it. This decision is influenced by their failure to ignore the sunk cost and assess the situation rationally.

To know more about Cost visit.

https://brainly.com/question/14566816

#SPJ11

Answer:

0.894427191

Step-by-step explanation:

All you have to do is divide the square root of 4 with the square root of 5

Therefore, there are 16 orange balls and 86 green balls in the box.

Let's denote the number of orange balls as O and the number of green balls as G.

We are given two pieces of information:

The number of green balls is six more than five times the number of orange balls:

G = 5O + 6

The total number of balls is 102:

O + G = 102

Now we can solve these equations simultaneously to find the values of O and G.

Substituting the value of G from equation 1 into equation 2, we have:

O + (5O + 6) = 102

Simplifying the equation:

6O + 6 = 102

Subtracting 6 from both sides:

6O = 96

Dividing both sides by 6:

O = 16

Now, substitute the value of O back into equation 1 to find the value of G:

G = 5(16) + 6

= 80 + 6

= 86

To know more about box,

https://brainly.com/question/29158199

#SPJ11

Answer: b. The sample should be chosen at random so that it is fair.

Step-by-step explanation:

Looking at the options:

a. The sample should be chosen based on specific criteria, such as the youngest students in the  class.

This is false. Choosing a sample size based on specific criteria may skew the data unfairly. For example, in a survey on students' studying habits, choosing only the students with lowest grades would be an inaccurate representation of the data.

b. The sample should be chosen at random so that it is fair.

This is true. Randomizing a sample eliminates any bias, whether intended or unintended.

c. The sample should consist of every person in the population being studied.

Although it is ideal to survey every person in order to get the most accurate data, doing so is often impossible given the scope of a data set. Doing a survey on high schooler's study habits cannot possibly get data from every person in the population, as there are high school students across the world.

d. The sample size should always be exactly one person or piece of data.

One person's data is not a survey, it is just an opinionated study. Sample size should always be large enough to eliminate any accidental bias.

The correct choice is B.

Answer:

just multiply 17×4=?

and it will give u an anserew..

Answer:68 people

Step-by-step explanation:

You take the 17 cars multiplied by four people and you get 68

Answer:

answer 215 nickels

Step-by-step explanation:

Riya earns $45 in commission for selling 15 newspaper ads at $50 each.

A commission is a charge or payment given to a person or group in exchange for a good or service. When selling goods or services on behalf of a corporation, sales representatives or agents are frequently compensated with commissions in the business world. For instance, a stockbroker may receive a fee for carrying out a trade on behalf of a customer, while a real estate agent may receive a commission depending on the sale price of a property they assist in selling.

Riya receives a 6% commission for selling newspaper ads, and if she sells 15 ads for $50 each, her total earnings can be calculated as follows:

Total earnings = Total sales x Commission rate

The total sales from selling 15 ads at $50 each are:

Total sales = 15 x $50 = $750

The commission rate is 6%, which can be written as 0.06 as a decimal.

Plugging these values into the formula, we get:

Total earnings = $750 x 0.06 = $45

Therefore, Riya earns $45 in commission for selling 15 newspaper ads at $50 each.

To learn more about commission, refer to:

https://brainly.com/question/957886

#SPJ4

The slope of the line perpendicular to the given line is equal to -4/1.

The equation is in the form y=mx+b

so, y=(1/4)x -10

First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4

To find the slope perpendicular to the line you must find the negative reciprocal of 1/4. (Which just means change the sign then flip the fraction)

Multiplying 1/4 by -1 which is -1/4

Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1

Thus, the slope of the line perpendicular to the given line is equal to -4/1.

To know more about slopes visit: brainly.com/question/3605446

#SPJ4

The equation is in the form y=mx+b

so, y=(1/4)x -10

First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4

Multiplying 1/4 by -1 which is -1/4

Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1

The value of x in this figure is \(12\sqrt{12}\)

Based on the tick marks, that is been found on the triangle we can deduced that this is a  45-45-90 right triangle.  and this can be interpreted that the measure of side x is that of either side, multiplied by the square root of two.

It should be noted that A 45-45-90 triangle  is one that the ratio of the lengths of the sides of a 45-45-90 triangle is always 1:1:√2,  in the light of this if one leg is x units long, then the other leg is also x units long hence hypotenuse is\(x\sqrt{2}\) units long.

Learn more about right triangle at;

https://brainly.com/question/2217700

#SPJ1

The main criticism of differential opportunity theory is that it overlooks the fact that most delinquents become law-abiding adults (option c).

Differential opportunity theory, developed by Richard Cloward and Lloyd Ohlin, focuses on how individuals in disadvantaged communities may turn to criminal activities as a result of limited legitimate opportunities for success.

However, critics argue that the theory fails to account for the fact that many individuals who engage in delinquency during their youth go on to become law-abiding adults.

This criticism highlights the idea that delinquent behavior is not necessarily a lifelong pattern and that individuals can change their behavior and adopt prosocial lifestyles as they mature.

While differential opportunity theory provides insights into the relationship between limited opportunities and delinquency, it does not fully address the complexities of individual development and the potential for desistance from criminal behavior.

Critics suggest that factors such as personal growth, social support, rehabilitation programs, and the influence of life events play a significant role in individuals transitioning from delinquency to law-abiding adulthood.

To know more about  law-abiding adults refer here:

https://brainly.com/question/28317923

#SPJ11

(a) Antecedent: Squares have three sides

Consequent: Triangles have four sides

(b) Antecedent: The moon is made of cheese

Consequent: 8 is an irrational number

(c) Antecedent: b divides 3

Consequent: b divides 9

(d) Antecedent: The differentiability of f

Consequent: f is continuous

(e) Antecedent: A sequence a is convergent

Consequent: a is bounded

(f) Antecedent: A function f is integrable

Consequent: f is bounded

(g) Antecedent: 1 + 2 = 3

Consequent: 1 + 1 = 2

(h) Antecedent: The moon is full

Consequent: The fish bite

(i) Antecedent: Time of 3 minutes, 48 seconds or less

Consequent: Qualification for the Olympic team

Learn more about Antecedent here

https://brainly.com/question/25667797

#SPJ11

Answer:

6

Step-by-step explanation:

Trust

Since the base of the ladder is 18.33 ft from the bottom of the building, which is less than 15 ft, the ladder will not be unstable. So the answer is "No", the ladder will not be unstable.

Given that the ladder is 20 ft long and it must just reach the window that is 8 feet off the level ground. The ladder will be unstable if its base is more than 15 feet from the bottom of the building.

To determine whether the ladder will be unstable, we can use the Pythagorean theorem. According to this theorem, for a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. That is, for the given ladder, the square of its length (hypotenuse) is equal to the sum of the squares of its height and base.

Let the distance of the base of the ladder from the bottom of the building be x ft. Then, using the Pythagorean theorem, we have:

Length of the ladder² = Height² + Base²

(20)² = (8)² + (x)²

400 = 64 + x²

336 = x²

Thus, x = √336 = 4√21 ≈ 18.33

Learn more about Pythagorean theorem:

https://brainly.com/question/14930619

#SPJ11

Answer:

i think its b

Step-by-step explanation:

Out of the given options, the one that is not an advantage of using a sample versus a census is population size. The reason for this is that whether you use a sample or a census, the population size remains the same. However, there are several advantages to using a sample over a census.

Firstly, a sample generates a smaller dataset to analyze, which can save time and resources. Secondly, using a sample can be less expensive than conducting a census, which involves surveying every member of the population. Lastly, using a sample provides ready access to respondents, as it is often easier to reach a smaller group of people than an entire population. However, it is important to note that using a sample also has its limitations, such as the potential for sampling bias and the need to ensure that the sample is representative of the population being studied. Overall, the choice between using a sample or a census depends on the research question, available resources, and the level of accuracy and precision required.

Know more about census here:

https://brainly.com/question/28839458

#SPJ11

The normal stress and shear stress acting on a plane perpendicular to direction inclined 30° counter clockwise to σ 11 are σn = 16−15√3 and τ = 2+15√3/4. The maximum shear stress is 17.5.

The stress tensor σ given in the problem is:

σ = 201504−400−1500−1010

The normal stress is given by

σn = σ11cos²θ+σ22sin²θ−2σ12sinθcosθ

where

θ = 30°

θ = 30° is the angle between the direction perpendicular to the plane and the direction of σ11

σ11 = 20

σ22 = −15

σ12 = −4

Here is a detailed calculation:
σn = 20cos²(30)+(-15)sin²(30)-2(-4)sin(30)cos(30)

σn = 20cos²(30)+(-15)sin²(30)+4sin(30)cos(30)

σn = 20(3/4)+(-15)(1/4)+4(1/2)(√3/2)

σn = 12−15√3+4√3

σn = 16−15√3

The normal stress is σn = 16−15√3

The shear stress acting on a plane perpendicular to direction inclined 30° counter clockwise to σ11

σ11 is given by:
τ = σ12(sin²θ−cos²θ)+0.5(σ11−σ22)sin2θ

where

θ = 30°

θ=30° is the angle between the direction perpendicular to the plane and the direction ofσ11.

σ11 = 20

σ22 = −15

σ12 = −4

Here is a detailed calculation:
τ = −4(sin²(30)−cos²(30))+0.5(20−(−15))sin(60)

τ = −4((1/4)−(3/4))+0.5(20+15)(√3/2)

τ = 4(1/2)+0.5(35)(√3/2)

τ = 2+15√3/4

The shear stress is τ = 2+15√3/4

Maximum shear stress
The maximum shear stress is given by

τmax = 0.5(σ1−σ2)

whereσ1σ1 andσ2σ2 are the first and second principal stresses.

The eigenvalues of the stress tensor σ are found by solving the characteristic equation:

det(σ−λI)=0

Here is a detailed calculation:
σ−λI = [20150−λ−400−1500−λ0−400−15−λ10−λ]

σ−λI = 0(20150−λ)[(−λ)(−λ−15)+0(−400)]−(−4)[0(−λ−15)+(−400)(−λ)]+0[0(−400)+(20150−λ)(−λ)]

σ−λI = 0λ³+35λ²−605λ−1875

σ−λI = 0

λ = −25,5,3

The maximum shear stress occurs on the plane of maximum shear stress which is at 45° 45° to the coordinate axes.

The maximum shear stress is found to be

τmax = 0.5(σ1−σ2)

τmax = 0.5(20−(−15))

τmax = 17.5.

Therefore, the maximum shear stress is τmax = 17.5.

Learn more about the normal and shear stress from the given link-

https://brainly.com/question/28485445

#SPJ11

Answer:

SA=390

Step-by-step explanation:

9*14=126

126+126=252

14*3=42

42+42=84

9*3=27

27+27=54

252+84+54=390