Helga buys a packet of 68 chocolates and decides to
share them with herself and the other twelve people on her soccer team.
One of Helga's team mates, Sasha, says "63 ÷ 13 = 4.846, therefore we
can have 5 chocolates each".

Create your own question where people might make the mistake of rounding to the nearest whole number if they didn't think about the context.

Answer:

9/2

Step-by-step explanation:

1 Simplify the expression

2 Subtract 6 from both sides

3 Simplify the expression

4 Divide both sides by the same factor

5 Simplify the expression

Answer:

1/2*4x +1/2*6=12

2x+3=12

2x=12-3

2x=9

x=9/2

Answer:

x = 6.5

Step-by-step explanation:

37x = 9x + 4

37x - 9x = 4

26x = 4

x = 6.5

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{-4}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{2}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{(~~2 - (-4)~~)^2 + (~~4 - 2~~)^2} \implies PQ=\sqrt{(2 +4)^2 + (4 -2)^2} \\\\\\ PQ=\sqrt{( 6 )^2 + ( 2 )^2} \implies PQ=\sqrt{ 36 + 4 } \implies PQ=\sqrt{ 40 }[/tex]

a. The number of lawns the Nathan can cut with one full tank of gas is 4.5 lawns.

b. The calories in one pound of chicken will be 736 calories.

c. The number of bead in one foot of string will be 28.8 beads.

a. The number of lawns the Nathan can cut with one full tank of gas is:

= 3 ÷ 2/3

= 3 × 3/2

= 4.5 lawns

b. The number of calories in one pound of chicken will be:

= 276 / 6 × 16

= 736 calories.

c. The number of bead in one foot of string will be:

= 12/5 × 12

= 28.8 beads.

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He accurately translated the data but he still receives inconsistent results. So the option D "Insufficient comprehension" associated with collecting primary data in global markets does this scenario exemplify.

Manufacturers of consumer goods and retailers both have a huge need to reinvent themselves and envision the new normal. The fervor, quickness, ingenuity, and feeling of purpose that we have observed across many subsectors and geographies have consistently inspired us. More than ever, we think businesses should and should benefit from sharing knowledge as they navigate an uncertain future.

Of course, evergreen brands also require exceptional functional performance, and as private-label contract manufacturers advance, the standard keeps getting higher.

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The complete question is:

A manufacturer of food products is looking at entering several new markets in developing countries. Before it does this, the company wants to collect data on item and flavor preferences in these markets. It sends out a survey that has been accurately translated into the local language, but it still receives inconsistent results. In talking with a consulting firm, the manufacturer is informed that several of these countries have extremely high illiteracy rates and the survey answers may be only random guesses by the respondents. Which of the following problems associated with collecting primary data in global markets does this scenario exemplify?

A. Limited access

B. Unreliable sampling procedures

C. Inadequate demographic information

D. Insufficient comprehension

E. Unwillingness to respond

Answer:

y = -4,5x + 180

Step-by-step explanation:

y = kx + n

k = - 4,5

n = 180

The slope intercept form of an equation is y=-40x+140.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

From the given graph the coordinate points are (2, 100) and (1, 140).

Here, slope(m) = (140-100)/(1-2)

m= -40

Substitute m= -40 and (x, y)=(2, 100) in y=mx+c, we get

100=-40(1)+c

c=140

Substitute m= -40 and c=140 in y=mx+c, we get

y=-40x+140

Therefore, the slope intercept form of an equation is y=-40x+140.

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Answer

4

so its your ans

To find the time it took Clare to ride 10 miles, we can use the concept of speed, which is defined as distance divided by time. In this case, Clare's constant speed was 15 miles in 72 minutes, so her speed is 15/72 miles per minute.

Using this speed, we can calculate the time it took her to ride 10 miles by dividing the distance by the speed:

Time = Distance / Speed

Time = 10 miles / (15/72 miles per minute)

Time = 10 * 72 / 15 minutes

Time = 43.2 minutes

So, it took Clare approximately 43.2 minutes to ride 10 miles at her constant speed of 15 miles in 72 minutes.

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Answer:155.56%.

Step-by-step explanation:To find the percentage increase, we need to calculate the difference between the two prices and divide it by the original price, then multiply by 100 to express the answer as a percentage.

Percentage increase = (New price - Original price) / Original price * 100

Percentage increase = (459 - 180) / 180 * 100

Percentage increase = 279 / 180 * 100

Percentage increase = 155.56%

So the price of the item increased by 155.56%.

The value of the coordinate x will be 1 / 4 for the given unit circle.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that there is a unit circle in the image. The radius of the unit circle is equal to 1. The coordinate has the value of y is 3 / 4.

The value of the x-coordinate will be calculated as:-

x -coordinate = 1 - 3 / 4

x -coordinate = ( 4 - 3 ) 4

x -coordinate = 1 / 4

Therefore, the x-coordinate of the point is  1 / 4.

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Answer:

-7/4

Step-by-step explanation:

The number of calories in each cake will be 136¹/₅. The correct option is C.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Jackson ate 5 of a chocolate cake at his brother's birthday party. If the chocolate cake contained 681 calories.

The number of calories in each cake will be calculated as:-

Amount of calories = 681 / 5

Amount of calories = 136.2

Amount of calories = 136¹/₅

Therefore, there will be 1361/5 calories in each cake. The right answer is C.

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The required inequality is 8x + 10y ≥ 56 which represents given the situation.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Let x represent the number of hours babysitting and y represent the number of hours doing yard work,

The inequality that represents the situation is:

8x + 10y ≥ 56

This means that the total amount earned from babysitting (8x) plus the total amount earned from yard work (10y) must be greater than or equal to the cost of the skateboard ($56).

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If the width of a rectangle is equal to wcm, and the length is 3cm more than the width, we can use this equation to solve for the area:

(Let 'a' = area and 'p' = perimeter)

To solve for the perimeter, we can use this equation:

Therefore, the equations you can use to solve for the area and perimeter are (w+3) × w = a and [(w+3) × 2] + (w × 2) = p

The coefficient of variation for 2012 is 20 %. While the coefficient of variation for 2013 is 15%.Therefor the donations in 2012 shows more dispersed distribution.

Here

for 2012  x=245, s = 49

for 2013 X = 480 ,s=72

CV for 2012 is

CV =S /x* 100% =(49 / 245)*100

CV = 20 %.

of cv for 2013 is

CV= (S /x)*100= (72 /480)*100

CV = 15%

The coefficient of variation for 2012 is 20 %. While the coefficient of variation for 2013 is 15%.Therefor the donations in 2012 shows more dispersed distribution.

The coefficient of variation (CV) is a statistical measurement used to compare the amount of variation in a set of data to the mean of the data. It expresses the variation as a percentage of the mean. The formula for CV is the standard deviation divided by the mean, multiplied by 100. CV is used to determine whether the data has a large or small amount of variation relative to its mean. A low CV indicates that the data is relatively consistent, while a high CV means that the data is more spread out. The CV is useful for comparing data sets with different units of measurement or data sets with different means. CV is commonly used in fields such as finance, economics, and quality control.

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The equation of the line passing through given points in slope-intercept form is y = 5x/9 + 11/9

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a line is passing through two points (-5, -4) and (4, 1), we need to find its equation,

We know that, an equation of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by,

(y-y₁) = (y₂-y₁) / (x₂-x₁) (x-x₁)

Here, (x₁, y₁) and (x₂, y₂) = (-5, -4) and (4, 1),

Therefore,

(y₂-y₁) / (x₂-x₁) = 1+4 / 4+5 = 5/9

Setting the equation,

y+4 = 5/9 (x+5)

y+4 = 5x/9 + 25/9

y = 5x/9 + 11/9

Hence, the equation of the line passing through given points in slope-intercept form is y = 5x/9 + 11/9

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You would expect 73 left-handed pitchers out of the 630 total pitchers in a major-league baseball game in one recent year.

The probability of a randomly selected person being left-handed is 0.117. Using this information, the expected number of left-handed pitchers in a group of 630 can be determined using the formula:

Expected Value = (Probability of Event) * (Number of Trials)

Expected Value = (0.117) * (630)

Expected Value = 73.31

Therefore, you would expect 73 left-handed pitchers out of the 630 total pitchers in a major-league baseball game in one recent year.

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Carol consumed the whole nine-ounce package of grapes. if there are 60 calories per 3 ounce serving. 180 calories are included in 6 ounces of carol.

To calculate the probability of an occurrence, divide the total number of outcomes by the total number of possible outcomes. There are differences between probability and odds. Odds are calculated by dividing the likelihood that a circumstance will occur by the likelihood that it won't. Probability is a statistic used to assess the likelihood that an event will take place. When we toss the coin in the air, the probability that it will land with the heads side up is calculated. Here is a practical use of probability that you are probably already familiar with. We always check the weather forecast before a significant outing.

Since there are [tex]60[/tex] calories in [tex]3[/tex] ounces of ice cream

No of calories in [tex]1[/tex] ounce of carol eat [tex]=60/3[/tex]

Thus, the no of calories in [tex]9[/tex] ounces of grapes[tex]=[/tex] No of calories in [tex]1[/tex] ounces of carol eat [tex]*9[/tex]

= The no of calories in [tex]6[/tex] ounces of carol eat [tex]= 20*9= 180[/tex]

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The measure of of the supplement angle would be 146°.

What is a radian?

The radian is the unit of angle in the International System of Units and is the standard unit of angular measure used in many areas of mathematics

Given is the angle 34°.

Let the measure of the supplement angle be {x}. So, we can write -

{x} + 34 = 180

{x} = 180 - 34

{x} = 146°

Therefore, the measure of of the supplement angle would be 146°.

The solution to the system of linear equation are -1 and 2

A system of linear equations is a collection of two or more linear equations with the same variables. The goal is to find the values of the variables that satisfy all the equations in the system. Linear equations are equations that have variables that are raised to the power of 1 and the coefficients of the variables are real numbers.

In the problem, we have equations as;

y = 2x + 4 ..eq(i)

x + y = 1 ...eq(ii)

Plotting this on a graph,

The value of x and y are -1 and 2

From the above, the solutions the student gave is wrong

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The value of x from the given proportion is 20.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

The given proportion is 7/2 = (x+1)/6

Now, 7×6=2(x+1)

42=2x+2

2x=40

x=20

Therefore, the value of x is 20.

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The scale factor would be 8, that are required to dilate the trapezoid to have each area

The area of a trapezoid can be calculated if the length of its parallel sides and the distance (height) between them are given.

The formula is: A = ½ (a + b) h

where (A) is the area of the trapezoid, 'a' and 'b' are the bases (parallel sides), and 'h' is the height (the perpendicular distance between a and b).

We know that,

The scale factor for the area is found by squaring the scale factor for length.

The ratio of areas is the square root of the length.

6400÷ 100 =64

Scale factor of the trapezoid = √64 =8

So, the scale factor would be 8.

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The probability of selecting a sample of 50 adults and finding that the mean of this sample is between 98 and 103 is approx b). 0.9428.

The intelligence quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 15. The standard deviation of the mean of a sample of 50 adults can be calculated as the population standard deviation divided by the square root of the sample size, or 15/√50 = 1.58.

Using a standard normal distribution table, the probability of selecting a sample of 50 adults and finding that the mean of this sample is between 98 and 103 can be calculated as the area under the standard normal curve between the z-scores corresponding to 98 and 103. These z-scores can be calculated using the formula z = (x - mean) / standard deviation, where x is the value of interest and mean is the population mean. The z-score for 98 is (98 - 100) / 1.58 = -1.27, and the z-score for 103 is (103 - 100) / 1.58 = 2.53.

The area under the standard normal curve between -1.27 and 2.53 can be found using a standard normal distribution table or a calculator with normal distribution functions. The probability of selecting a sample of 50 adults and finding that the mean of this sample is between 98 and 103 is approximately 0.9228, which is closest to the answer choice b. 0.9428.

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The cost of the tie was 127.50 - (90 + 7.50) = 30.

Joe paid 90 for his new shoes, 30 for the tie, and 7.50 for the shirt.

The total cost of the shoes, tie, and shirt was 127.50.

The cost of the shoes was 3 times the cost of the tie and shirt together. Therefore, the cost of the shoes was 3 x (30 + 7.50) = 90.

The cost of the shirt was a quarter the cost of the shoes and tie together. Therefore, the cost of the shirt was (90 + 30) / 4 = 7.50.

The cost of the tie was the remaining amount after subtracting the cost of the shoes and shirt from the total cost. Therefore, the cost of the tie was 127.50 - (90 + 7.50) = 30.

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The required stem-and-leaf plot shown below that the majority of the scores fall in the 20s and 30s, with some scores in the teens and low 20s.

A stem-and-leaf plot is a type of data display that helps to show the distribution of a set of numerical data.

here,
For the given data set:

Stem Leaf

0         4

1         1, 3, 3

2         0, 0, 0, 6, 7

3         0, 0, 0, 7

The stem-and-leaf plot shows that the majority of the scores fall in the 20s and 30s, with some scores in the teens and low 20s. The plot makes it easier to see the distribution of the data, rather than just looking at the raw values.

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In 5 years, the town will have 7,359 people living there.

We can use a model of population growth over time to calculate this using an exponential equation. We must first determine the growth rate. Since we know that the population is growing at a rate of 1.3 percent per year, we can figure out the growth rate as follows: 1 minus (1.3/100) equals 1.013.

Next, we can set up the exponential equation, using the initial population of 6,348 and the growth rate of 1.013:

P(t) = 6348 *[tex]1.013^t[/tex]

where t is the time since the initial population was formed. t is 5 in this instance. We can now incorporate this into the equation to determine the town's population after five years:

P(5) = 6348 * [tex]1.013^5[/tex]

= 7,359

So the population of the town will be 7,359 people in 5 years.

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The sample size is too small, the sample is not representative of the population and the wording of survey question influences the response self-selected sample are potential limitations for a research study.

The sample size being too small can limit the accuracy and precision of the results and reduce the power of statistical tests.

A sample not being representative of the population can result in sampling bias, which can affect the validity of the results.

The wording of a survey question can influence the response, which can result in biased results. A self-selected sample, where participants voluntarily participate in a study, can also result in biased results because only those who are interested or motivated to participate will do so.

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The required equation that represents the relationship between students and adults ticket in the 2 graphs is given as a = -3s/5 -300 and s = -2a - 600.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

From the graphs,
Graphs 1
X intercept = (500, 0)
Y-intercept =(0, 300)

The equation is given as,
a - y₁ = (y₂ - y₁) /  (x₂ - x₁) (s - x₁)

Substitute the value in the above expression,
a - 0 = 300/-500 (s -500)
a = -3s/5 -300

Similarly,
The equation for graph 2 is given as,
s = -2a - 600

Thus, the required equation that represents the relationship between students and adults ticket in the 2 graphs is given as a = -3s/5 -300 and s = -2a - 600.

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The least positive integer $n$ such that no matter how $10^n$ is expressed as the product of two positive integers, at least one of these two integers contains the digit 0, is 7.

Latex formula for equation.

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

Let's consider the factorization of $10^n$ for increasing values of $n$.

For $n = 1$, $10^1 = 10$ which contains the digit 0.

For $n = 2$, $10^2 = 100$ which contains the digit 0.

For $n = 3$, $10^3 = 1000$ which contains the digit 0.

For $n = 4$, $10^4 = 10,000$ which contains the digit 0.

For $n = 5$, $10^5 = 100,000$ which contains the digit 0.

For $n = 6$, $10^6 = 1,000,000$ which contains the digit 0.

For $n = 7$, $10^7 = 10,000,000$ which contains no digit 0.

Therefore, the least positive integer $n$ is 7.

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According to the question there will be 11.025 pounds.

Pounds is a unit of measurement for weight, typically used in the imperial system of measurement. It is equal to 0.45359237 kilograms. Historically, it was defined as the weight of a single piece of lead that measures one pound in volume. Today, it is officially defined as exactly 0.45359237 kilograms. In the United Kingdom and Ireland, pounds is used as the currency.

11.025 pounds from all given options.

5 kg *2.2046226218 lbs

= 11.0231131092 lbs

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