A student wants to know which type of pizza the students at his high school prefer. Which
option would give a unbiased, representative sample:
Average

Answers

Answer 1

Answer:

Step-by-step explanation:

In November 1998, former professional wrestler Jesse “The Body” Ventura was elected governor of Minnesota. Up until right before the election, most polls showed he had little chance of winning. There were several contributing factors to the polls not reflecting the actual intent of the electorate:

Ventura was running on a third-party ticket and most polling methods are better suited to a two-candidate race.

Many respondents to polls may have been embarrassed to tell pollsters that they were planning to vote for a professional wrestler.

The mere fact that the polls showed Ventura had little chance of winning might have prompted some people to vote for him in protest to send a message to the major-party candidates.

But one of the major contributing factors was that Ventura recruited a substantial amount of support from young people, particularly college students, who had never voted before and who registered specifically to vote in the gubernatorial election. The polls did not deem these young people likely voters (since in most cases young people have a lower rate of voter registration and a turnout rate for elections) and so the polling samples were subject to sampling bias: they omitted a portion of the electorate that was weighted in favor of the winning candidate.

SAMPLING BIAS

A sampling method is biased if every member of the population doesn’t have equal likelihood of being in the sample.

So even identifying the population can be a difficult job, but once we have identified the population, how do we choose an appropriate sample? Remember, although we would prefer to survey all members of the population, this is usually impractical unless the population is very small, so we choose a sample. There are many ways to sample a population, but there is one goal we need to keep in mind: we would like the sample to be representative of the population.

Returning to our hypothetical job as a political pollster, we would not anticipate very accurate results if we drew all of our samples from among the customers at a Starbucks, nor would we expect that a sample drawn entirely from the membership list of the local Elks club would provide a useful picture of district-wide support for our candidate.

One way to ensure that the sample has a reasonable chance of mirroring the population is to employ randomness. The most basic random method is simple random sampling.


Related Questions

Solve the following quadratic equation by completing the square. Simplify the solutions and rationalize denominators, if necessary.

3x^2−30x=−2

Answers

The solutions to this quadratic equation are x = √(73/3) + 5 or x = -√(73/3) + 5.

What is a quadratic equation?

In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

3x² - 30x = -2

By dividing all through by 3, we have:

x² - 10x = -2/3

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² - 10x + (-10/2)² = -2/3 + (-10/2)²

x² - 10x + 25 = -2/3 + 25

x² - 10x + 25 = 73/3

By simplifying, we have;

(x - 5)² = 73/3

x = √(73/3) + 5 or x = -√(73/3) + 5

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HELP PLS 65.1 + WHAT = 100 !!!

Answers

Answer would be 34.9! To help you in the future to find a missing number try doing 100-65.1. (:

Answer: 34.9

Step-by-step explanation: 100 - 65.1

Between 2000 and ​2015, the number of twin births in a certain country increased by ​14%, to approximately 133,950 . About how many twin births were there in​ 2000? There were approximately ____ twin births in 2000.

Answers

Let the number of twin births in 2000 be x.

According to the problem, the number of twin births in 2015 increased by 14%, which means the number of twin births in 2015 is:

x + 0.14x = 1.14x

We also know that the number of twin births in 2015 is approximately 133,950, so we can set up the following equation:

1.14x = 133,950

Solving for x, we get:

x = 117,500

Therefore, there were approximately 117,500 twin births in 2000.

Triangle GFH has vertices G(2, –3), F(4, –1), and H(1, 1). The triangle is rotated 270° clockwise using the origin as the center of rotation. Which graph shows the rotated image?
On a coordinate plane, triangle G prime H prime F prime has points (negative 3, negative 2), (1, negative 1), (negative 1, negative 4).
On a coordinate plane, triangle G prime H prime F prime has points (3, 2), (negative 1, 1), (1, 4).
On a coordinate plane, triangle G prime H prime F prime has points (2, negative 3), (1, 1), (4, negative 1).
On a coordinate plane, triangle G prime H prime F prime has points (2, 3), (4, 1), (1, negative 1).

Answers

Check the picture below.

Answer:

b

Step-by-step explanation:

edge 2023

Correct answer gets brainliest!!!!

Answers

Answer:is b

A line segment has both of its end-points fixed and so it has a definite length.

Step-by-step explanation:

pl z give me brianlieyst and have a good day

:)

What is the correct answer for 17? Plsss help

Answers

If lines m and n are parallel, then the value of x must be 4.

How to find the value of x?

If lines m and n are parallel, then the measures of the angles in the correspondent quadrants must be the same ones.

Here we can see that the two angles are in the third quadrant, thus, these angles have the same measure. Then we can write this as:

6x² = 96

Now we can solve this for x, we will get:

x² = 96/6

x² = 16

x = √16

x = 4

That is the value of 4.

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A given distribution has a population mean, μ, of 144 and a population standard deviation, σ, of 9. Compute the raw, x-value associated with a Z-score of 0.21. Round to two decimal places, as needed.

Answers

The raw x-value associated with a Z-score of 0.21 for the given distribution is 145.89.

To compute the raw x-value associated with a Z-score of 0.21 for a distribution with a population mean, μ, of 144 and a population standard deviation, σ, of 9, we can use the formula for standardizing a variable:

Z = (x - μ) / σ

Rearranging the formula to solve for x, we get:

x = Zσ + μ

Substituting the given values, we get:

x = 0.21(9) + 144

Simplifying the expression, we get:

x = 145.89

A Z-score represents the number of standard deviations a value is from the mean, and it can be used to standardize values from different distributions. By standardizing values, we can compare them on a common scale and make more meaningful statistical inferences.

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For the graph of a function y​=f(x) shown to the​ right, find the absolute maximum and the absolute​ minimum, if they exist. Identify any local maxima or local minima.

Answers

Answer:

B) There is no absolute max for y=f(x)

Step-by-step explanation:

There is no absolute max as the function increases infinitely

However there is an absolute minimum at x=0

f ( x ) = 12 ( 7 ) x using base e

Answers

The answer is 473m in my perspective

Justine is enrolled in an SAT prep class at the Oakdale Community Center. The community
center is 1.4 miles away from Justine's house. On a map of Oakdale, this distance is
represented by 1 inch. What is the scale of the map?
Write your answer in simplest form using whole numbers.
inches:
miles

Answers

Answer:

1.4:1

= 14:10

= 7:5

Hence, ans is 7:5

Hope it helps, please mark me as brainliest...

Which number is the greatest? 20 -100 -45 50

Answers

50 is the greatest number.

Triangle ABC is being enlarged using a scale factor of and centre (2,9) to
give triangle A'B'C'.
a) What are the coordinates of the vertex C'?
b) What is the length of the side A’B’

Answers

a) The coordinates of the vertex C' are C'(x, y) = (5, 5).

b) The length of the side A'B' is equal to 4.

In this problem we find the case of a right triangle, whose image must be found by a kind of rigid transformation known as dilation. The dilation formula for a vertex is introduced below:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]

Where:

k - Dilation factor

O(x, y) - Center of dilation

P(x, y) - Original vertex

P'(x, y) - Resulting vertex

And the dilation formula for a formula is:

L' = k · L

Where:

L - Original length.

L' - Resulting length.

Please notice that side lengths can be found by Pythagorean theorem.

we know that O(x, y) = (2, 9), k = 1 / 2, A(x, y) = (6, 7), B(x, y) = (10, 7) and C(x, y) = (6, 1), then the resulting vertices and sides are:

C'(x, y) = (2, 9) + (1 / 2) · [(6, 1) - (0, 9)]

C'(x, y) = (2, 9) + (1 / 2) · (6, - 8)

C'(x, y) = (2, 9) + (3, - 4)

C'(x, y) = (5, 5)

And the length of the side A'B' is:

AB = 8

A'B' = (1 / 2) · AB

A'B' = 4

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Solve the inequality and graph the solution on the line provided.
> ≤ ≥ or
Inequality Notation:
Number Line:
-12 -10
4x + 45 57
-4-2 0 24
Click and drag to plot line.
6
10 12

Answers

The solution of the given inequality is x ≤ 13/4

Since Inequality can be defined as the relation which makes a non-equal comparison between two given functions.

We are given the Inequality  as;

4x + 45 ≤ 57

Solving;

4x + 45 ≤ 57

4x ≤ 57 - 45

4x  ≤ 13

x ≤ 13/4

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Husk takes out a 3200 student loan at 6.7% to help him

Part (a) find the total amount interest that will accrue for loan 1(community college )

Part (b) find the total amount of intrest that will a cure for loan 2 state university
Part (c) find the total amount intrest that accrues until payment begin

Answers

(c) Total interest accrued until payments begin = $1023.33 (loan 1) + $2362.33 (loan 2) ≈ $3385.66.

How to solve

(a) For loan 1, $3200 at 6.7% for 4 years and 7 months (4 years in college + 3 months deferment), the simple interest = 3200 * 0.067 * (55/12) ≈ $1023.33.

(b) For loan 2, $12,000 at 7.3% for 2 years and 7 months (2 years in college + 3 months deferment), simple interest = 12000 * 0.073 * (31/12) ≈ $2362.33.

(c) Total interest accrued until payments begin = $1023.33 (loan 1) + $2362.33 (loan 2) ≈ $3385.66.

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campaign. Evaluate how community respond to women and children in (3x4)(12) light of the following aspects: Bill of Rights Discrimination Human Rights Violations ■ . B​

Answers

The community's response to women and children in light of the Bill of Rights, Discrimination, and Human Rights Violations should prioritize the protection and promotion of their rights and freedoms.

Now, The evaluation of community response to women and children in the context of Bill of Rights, Discrimination, and Human Rights Violations can be done as follows:

Bill of Rights:

The Bill of Rights guarantees certain rights and freedoms to all individuals regardless of their gender or age. Therefore, any discrimination or violation of women and children's rights would be a direct violation of the Bill of Rights. The community must ensure that women and children are not denied their right to life, dignity, equality, and freedom from all forms of violence and exploitation.

Discrimination:

Discrimination against women and children is a prevalent issue in many societies. Women and children are often subjected to discrimination on the basis of their gender, age, race, religion, or socio-economic status. The community should work towards eliminating all forms of discrimination against women and children and provide them with equal opportunities in all spheres of life.

Human Rights Violations:

The community must also ensure that the human rights of women and children are protected. Human rights violations against women and children can include physical and emotional abuse, sexual harassment and assault, child labor, child marriage, and human trafficking, among others. The community must take a strong stance against such violations and work towards preventing and punishing the perpetrators.

In conclusion, the community's response to women and children in light of the Bill of Rights, Discrimination, and Human Rights Violations should prioritize the protection and promotion of their rights and freedoms. Any form of discrimination or violation of their rights should be condemned and punished to ensure that women and children are safe and empowered members of society.

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The acts in a talent competition consist of 10 instrumentalists, 12 singers, and 8 dancers. If the acts are ordered randomly, what is the probability that a dancer performs first?

Answers

Answer:

P=4/15

Step-by-step explanation:

P(dancer first) = 8/30=4/15

# 27
2
G
A
1 2 3
2
7.G.B.6
1,7
Johnny uses a wheelbarrow to move planting soil to a delivery truck. The
volume of planting soil that fits in the wheelbarrow measures 2 feet by 3 feet
by 1.5 feet. The delivery truck measures 11 feet by 8 feet and is 6 feet tall.
Johnny puts planting soil in the delivery truck until the truck is 70% full.
What is the minimum number of times Johnny needs to use the wheelbarrow
until the delivery truck is 70% full?

Answers

He will need to use the wheelbarrow at least 41 times to fill the delivery truck to 70% of its capacity.

Define volume

Volume is a measure of the amount of space that a substance or object occupies in three dimensions. It is typically measured in units such as cubic meters (m³), cubic centimeters (cm³), liters (L), or gallons (gal), depending on the system of measurement being used.

First, let's calculate the total volume of the delivery truck:

Volume of delivery truck = length x width x height

Volume of delivery truck = 11 ft x 8 ft x 6 ft

Volume of delivery truck = 528 cubic feet

To fill the delivery truck to 70% of its capacity, Johnny needs to put 0.7 x 528 = 369.6 cubic feet of planting soil in the truck.

Now, let's calculate the volume of planting soil that fits in the wheelbarrow:

Volume of wheelbarrow = length x width x height

Volume of wheelbarrow = 2 ft x 3 ft x 1.5 ft

Volume of wheelbarrow = 9 cubic feet

Number of loads = Total volume of planting soil needed / Volume of each load

Number of loads = 369.6 cubic feet / 9 cubic feet

Number of loads = 41.0666667

Since Johnny cannot use a fraction of a load, he will need to use the wheelbarrow at least 41 times to fill the delivery truck to 70% of its capacity.

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A major credit card company is interested in whether there is a linear relationship between its internal rating of a customer’s credit risk and that of an independent rating agency. The company collected a random sample of 200 customers and used the data to test the claim that there is a linear relationship. The following hypotheses were used to test the claim.

H0:β1=0Ha:β1≠0


The test yielded a t
t
-value of 3.34 with a corresponding p
p
-value of 0.001. Which of the following is the correct interpretation of the p
p
-value?

Answers

The correct interpretation of the p-value is 3.34.

We are given that;

t-value=3.34

Number of customers= 200

Now,

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed one, assuming that the null hypothesis is true. In this case, the p-value of 0.001 means that there is a 0.1% chance of getting a t-value of 3.34 or higher (or -3.34 or lower) if the true slope of the linear relationship between the two ratings is zero. The p-value is very small, which indicates that the data provide strong evidence against the null hypothesis and in favor of the alternative hypothesis.

The p-value of 0.001 means that there is a 0.1% chance of getting a t-value of 3.34 or higher (or -3.34 or lower) if there is no linear relationship between the two ratings.

Therefore, by probability the answer will be 3.34

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Calculate the area of a circle 4ft ,2in,18ft,5.2in,7.3in,14cm,9m,3m,9.2cm,7m,5m,6m

Answers

Answer:

Step-by-step explanation:

It seems like you have provided multiple measurements for the radius of the circle. I'm sorry, but a circle can only have one radius, so I am not able to calculate its area with the given information.

Please provide the correct measurement for the radius of the circle, and I will be happy to help you calculate its area.

An agency wanted to study annual-sales distribution of 500 cottage industries of the same standard. Since the industries are located in different regions, it will be expensive to collect data from all 500 industries. Thus, the study is to be based on the sales of 75 industries which are selected to represent the whole. a) The agency summarized the collected data in tabular form, displayed it in graph and further found the average annual sales to be 36 thousand birr. What type of statistical technique is used here? b) The average sale of the 500 cottage industries is estimated to be 36 thousand birr based on the sample average. What type of statistical technique is used here?​

Answers

The type of statistical technique used here is inferential

We are given that;

Annual-sales distribution of cottage industries of the same standard=500

Number of industries=500

Now,

a) The type of statistical technique used here is descriptive statistics, which involves summarizing, organizing, and presenting data in a meaningful way. Descriptive statistics can use tables, graphs, and numerical measures such as mean, median, mode, range, standard deviation, etc. to describe the main features and patterns of a data set.

b) The type of statistical technique used here is inferential statistics, which involves drawing conclusions or making predictions about a population based on a sample. Inferential statistics can use methods such as estimation, hypothesis testing, confidence intervals, regression analysis, etc. to make inferences about the population parameters from the sample statistics.

Therefore, by statistics the answer will be inferential.

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A graph has quantity on the x-axis and price on the y-axis. A supply line goes through (10, 25), (20, 30), (30, 35), (40, 40).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (10, 40), (20, 30), (30, 20), (40, 10). Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium? a. 20 b. 30 c. 40 d. There is not enough information given to determine the point of equilibrium. A graph has quantity on the x-axis and price on the y-axis. A supply line goes through (10, 25), (20, 30), (30, 35), (40, 40).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (10, 40), (20, 30), (30, 20), (40, 10). Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium? a. 20 b. 30 c. 40 d. There is not enough information given to determine the point of equilibrium. A graph has quantity on the x-axis and price on the y-axis. A supply line goes through (10, 25), (20, 30), (30, 35), (40, 40).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (10, 40), (20, 30), (30, 20), (40, 10). Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium? a. 20 b. 30 c. 40 d. There is not enough information given to determine the point of equilibrium.

Answers

Man that’s difficult

A man earned wages of 38,800 received 1600 in interest from savings account and contributed to 3200 to tax deferred retirement plan he was entitled to personal exemption of 2900 and had had deductions totaling 4950 find his gross income adjust gross income and taxable income

Answers

The gross income amount is $35,750

Given data ,

To find the gross income, we add up all of the man's income sources:

Gross Income = Wages + Interest + Retirement Plan Contribution

Gross Income = 38,800 + 1,600 + 3,200

Gross Income = 43,600

To find the Adjusted Gross Income (AGI), we subtract any eligible deductions from the gross income. In this case, the personal exemption and deductions are eligible.

AGI = Gross Income - Personal Exemption - Deductions

AGI = 43,600 - 2,900 - 4,950

AGI = 35,750

Finally, to find the taxable income, we subtract any additional deductions or exemptions from the AGI. We will assume that there are no additional deductions or exemptions in this case.

Taxable Income = AGI

Taxable Income = 35,750

Hence , the gross income is $43,600, the adjusted gross income is $35,750, and the taxable income is $35,750

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Using the GCF, what is the factored form of 75 - 3x?

please i need help!!!
u will get 100 points!!!​

Answers

The GCF (Greatest Common Factor) is the largest number that divides evenly into two or more numbers. In this case, we can find the GCF of 75 and 3 by listing their factors and finding the largest one they have in common. The factors of 75 are 1, 3, 5, 15, 25, and 75. The factors of 3 are 1 and 3. The largest factor they have in common is 3. Therefore, the GCF of 75 and 3 is 3.

We can use the GCF to factor the expression 75 - 3x by dividing each term by the GCF and writing the expression as a product. In this case, we can divide both terms by 3 to get 75/3 - (3x)/3, which simplifies to 25 - x. We can then write the original expression as a product by multiplying this simplified expression by the GCF: 3(25 - x).

Therefore, the factored form of 75 - 3x using the GCF is 3(25 - x).

Answer:

3(25-x)

Step-by-step explanation:

First we find the GCF of 75 and -3x, which is 3

3 is the highest number we can divide both 75 and -3

Hence, the answer is 3(25-x)

Find the slope of the line with a y-intercept = 4, passing through the point (2,8)

Answers

Answer:

8 = 2m + 4

2m = 4, so m = 2

So the equation of this line is y = 2x + 4.

D is the correct answer.

Kelly purchased a toaster for $115. She made a down payment of 10% and financed the rest for 9 months with payments of $16.78. Find (a) the down payment and (b) the total installment price of the toaster.

Answers

(A) The down payment of the toaster = $ 11.5

(B)  The total installment price of the toaster = $151.02

(A) The down payment of the toaster made by Kelly is 10 % of $ 115

Down payment = 115 × 10/100

Down payment = 1150/100

Down payment = 11.5

The down payment of the toaster = $ 11.5

(B) Total installment price of the toaster for 9 months with payment of $ 16.78

Total installment price of toaster = 9 × 16.78

Total installment price of toaster = $ 151.02

The total installment price of the toaster = is $ 151.02

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12 A quality control inspector at a plant has found the probability of randomly selecting a defective
battery from a batch of batteries being produced is 0.02. The probability of rain that day has been
projected to be 0.75. If these two events are independent, what is the probability that on that particular
day, it rains, and the inspector chooses a defective battery from the batch being produced?
(1) 0.77
(3) 0.015
(2) 0.5
(4) 0.95

Answers

Answer:

The answer is (3) 0.015.

Step-by-step explanation:

This is because to find the probability of finding both independent events happening at the same time, we must multiply them.

The independent events are:

- Randomly selecting a defective battery: 0.02

- Raining tomorrow: 0.75

0.02 x 0.75 = 0.015

Therefore, the answer is (3) 0.015.

Describe the following function

Answers

The transformation in the function y = -1/3f(x + 4) - 5 is described below

Describing the transformation in the function

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

y = f(x)

The transformed function g(x) is given as

y = -1/3f(x + 4) - 5

The sequence of transformation on the transformed function is as follows

Horizontal shift to the left by 4 unitsVertical stretch by a factor of 1/3Reflection across the x-axisLastly, vertical shift down by 5 units

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HELP ME PLEASE!
Whoever answers right gets brainliest!

Answers

Therefore, the range of the relation shown is (1, 3, 4, 6, 7). Option C is the correct answer.

What is function?

In mathematics, a function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the range) with the property that each input is associated with exactly one output. In other words, a function is a rule that assigns a unique output value to each input value. Functions are used to model relationships between variables in many areas of mathematics and other fields such as physics, engineering, economics, and computer science. They are used to describe various phenomena, such as the growth of populations, the trajectory of a projectile, or the behavior of financial markets. Functions are also important tools in calculus, where they are used to study rates of change and continuity, among other things.

Here,

The range of a relation refers to the set of all possible output values or y-values of the relation. Looking at the image reference, we can see that the y-values or the outputs are 1, 3, 4, 6, and 7.

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From the following, calculate the cost of ending inventory and cost of goods sold for the weighted-average method, ending inventory is 59 units. (Round your intermediate calculations and final answers to the nearest cent.) Beginning inventory and purchases Units Unit cost January 1 4 $ 1.50 April 10 11 2.00 May 15 11 2.50 July 22 16 2.75 August 19 17 3.50 September 30 21 3.70 November 10 31 3.90 December 15 17 4.30

Answers

The cost of ending inventory using the weighted-average method is $198.24.

What is the cost of ending inventory?

An ending inventory is often derived by adding new purchases to beginning inventory and then subtracting the cost of goods sold.

To calculate it using the weighted-average, we must compute the weighted average cost per unit and then multiply the weighted average cost per unit by the number of units in ending inventory to get the cost of ending inventory.

The total cost of goods available for sale is:

= (4 x 1.50) + (11 x 2.00) + (11 x 2.50) + (16 x 2.75) + (17 x 3.50) + (21 x 3.70) + (31 x 3.90) + (17 x 4.30)

= $430.7

The total units available for sale is:

= 4 + 11 + 11 + 16 + 17 + 21 + 31 + 17

= 128

The weighted average cost per unit is:

= $430.70 / 128 units

= $3.36484375

= $3.36

The cost of ending inventory will be:

= 59 units x $3.36

= $198.24

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Please if you know the answer put the steps in there thank you.

Answers

Answer:

The market trader should sell each of the remaining 20 packs of muffins for £1.30 to meet his target.

Step-by-step explanation:

To find out how much the market trader needs to sell the remaining 20 packs of muffins, we first need to calculate his total cost and his target revenue.

The cost of the loaves of bread is:

100 loaves x 84p/loaf = £84

The cost of the packs of muffins is:

60 packs x £1.10/pack = £66

Therefore, the total cost for the trader is:

£84 + £66 = £150

To make a 40% profit, the trader needs to make £150 x 40/100 = £60 in profit.

His target revenue is, therefore:

£150 + £60 = £210

The revenue from the loaves of bread is:

100 loaves x £1.20/loaf = £120

The revenue from the 40 packs of muffins sold at £1.60 per pack is:

40 packs x £1.60/pack = £64

So the total revenue from the loaves of bread and the 40 packs of muffins is:

£120 + £64 = £184

This means that the trader needs to make:

£210 - £184 = £26

from the sale of the remaining 20 packs of muffins.

To sell 20 packs of muffins to make £26, he needs to sell each pack for:

£26/20 = £1.30 per pack

Therefore, the market trader should sell each of the remaining 20 packs of muffins for £1.30 to meet his target.

Other Questions
n^2 - 5n + 6, n^2 - 4n+ 4 I need help, i know the answer may possibly be (n-3)(n-2)^2 factor it, an di need steps. Write a brief summary of paragraph 7 through 21 of the Nobel speech [1 point) The following table gives values of the differentiable function y = f(x). 012345678910 123-4.21-1-2135 Estimate the x-values of critical points of (x) on the interval 0 < x < 10. Classity each critical point as a local maximum, local minimum, or neither Enter your critical points as comma-separated xvalue, classification pairs. For example, if you found the critical points x = -2 and x = 3, and that the first was a local minimum and the second nother a minimum nor a maximum, you should enter (-2,min), (3,neither). Enter none if they are no critica/ points) critical points and classifications Now assume that the table gives values of the continuous function y = f'(x) (instead of F(x)). Estimate and classify critical points of the function f(x) critical points and classifications: Computer calculation speeds are usually measured in nanoseconds. A nanosecond is 0. 000000001 seconds. Which choice expresses this very small number using a negative power of 10?. 10-8B. 10-910-10D10 11 Find the divergence of each of the following vector fields at all points where they are defined. div ( (2x2 - sin(xz)) i + 5j - (sin(xz)) k) = _____ Which equation can be used to solve for x Factor the expression. x^2-12x-45 4.68 steam enters a turbine in a vapor power plant operating at steady state at 560c, 80 bar, and exits as a saturated vapor at 8 kpa. the turbine operates adiabatically, and the power developed is 9.43 kw. the steam leaving the turbine enters a condenser heat exchanger, where it is condensed to saturated liquid at 8 kpa through heat transfer to cooling water passing through the condenser as a separate stream. the cooling water enters at 18c and exits at 36c with negligible change in pressure. ignoring kinetic and potential energy effects and stray heat transfer at the outer surface of the condenser, determine the mass flow rate of cooling water required, in kg/s. Decide on the best possible escape route for the group of volunteers. Explain Five reasons for your choice*Tourism* to reverse the last change you made in a presentation file you click the undo button on the quick access toolbar true or false? What pathway in the rock cycle might rock take nextv if it is subjected to uplift? It is the day of the bake sale!Mr. Smith sets up a rectangular table in front of school and uses tape to split it into 8 columns.1 student brought in 12 brownies and 3 students brought in 4 brownies each.How many rows should Mr. Smith make on the table so that each brownie has its own square? If x=3t+t^2 and y=72t, find an equation y=mx+b of the tangent to the curve at t=2.m=b= 2. Which transportation problem will result in highest and lowest solution for same problem? The following reaction occurs when a burner on a gas stove is lit:CH4(g) + 2O2(g) CO2(g) + 2H20(g) Evaluate the following statements and select the correct grouping. True statements are marked with a T, and false statements are marked with an F. The system cannot reach equilibrium because it is not a closed system. Increasing the concentration of the CH4 will increase the production of CO2 and water. Increasing the temperature of the flame will increase the production of CO2 and water. Adding CO2 will increase the volume of methane and oxygen Kindly explain newton's formula for the speed of sound Although Zeke takes an hour walk every morning, the rest of his day is spent at his desk. When it comes to picking out a suitable snack, which would be the BEST choice for Zeke? A. a handful of almonds that total 162 calories B. a bag of potato chips that have 536 calories C. three chocolate chip cookies with 250 calories D. one piece of celery that has 10 calories This is part of a city map.City map with First Street and Second Street as two lines equal distance apart that never meet. Main Street is intersecting Arch, First, Second, and Elm. Elm Street is intersecting Main and First Street. Which streets are parallel to each other? A. First Street and Second Street B. First Street and Arch Street C. None of the streets are parallel to one another. D. Elm Street and Main Street All living things need energy. Use the termsautotroph and heterotroph to describe howeach of the organisms in the illustration belowobtains energy.GrassRabbitFox The value of the industrial mission depends on the nature of the tribes. Even the less advanced, more primitive tribes may benefit, if not only mechanical and artisan work, such as the carpenters or blacksmiths craft, but also the simpler techniques of agriculture are taught. The sinking of wells, the system of irrigation, the introduction and planting of useful trees, the use of domestic animals for agricultural purposes all of these will render native land more productive.adapted from F.D. Lugar,The rise of our East African Empire (1893)How does this justify European imperialism in Africa?A. European missionaries converted African tribes to Christianity. B. European statesmen needed to preserve the balance of power. C. European imperialists brought new technologies to Africa. D. Europeans brought advances manufacturing to Africa but neglected farming.