.19 A marketing firm wants to estimate how much foot beer the average teenager drinkos per year. A previous study found a standard deviation of 122 Mens How many teenagers must the firm interview in order to have a margin of error of at mon 02 liter when constructing a 99% confidence interval? Murticle Choice a) 245,39 b) 246 C c) 246,30 d) 247

Diego spent 0.25 pounds to raisins and 1.75 pounds to walnuts.

Given:

Diego spent $15 and bought exactly 2 pounds of raisins and walnuts.

Raisins cost $4 a pound and walnuts cost $8 a pound.

Let x be the pounds of raisins and y be the pounds of walnuts.

x + y = 2

4x + 8y = 15

substituting y = x - 2 in above equation,

4x + 8(2-x) = 15

4x - 8x + 16 = 15

-4x = -1

x = 1/4

x = 0.25 pounds.

x + y = 2

y = 2 - 0.25

y = 1.75 pounds.

Therefore diego spent 0.25 pounds to raisins and 1.75 pounds to walnuts.

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According to the information we can infer that Dora's conclusion may be incorrect because the information provided only states that the number of people who spent time reading falls within specific ranges (0-2 hours, 2-4 hours, and 2-10 hours), but it does not give a specific count for those who spent at least 4 hours. Therefore, Dora's assumption that "most people spent at least 4 hours a week reading" is not supported by the given data.

The range of the time spent reading cannot be determined from the information provided because the ranges are overlapping. For example, a person who spent exactly 2 hours reading could fall into both the first range (0-2 hours) and the second range (2-4 hours). Without more specific data or non-overlapping ranges, it is not possible to determine the exact range of time spent reading.

To estimate the mean time spent reading by Dora's friends, we can calculate the midpoint of each range and use it as an approximate value. The midpoint for the first range (0-2 hours) is 1 hour, for the second range (2-4 hours) is 3 hours, and for the third range (2-10 hours) is 6 hours. We can then calculate the estimated mean by taking the weighted average of these midpoints using the respective number of people as weights.

Estimated mean = [(4 * 1) + (5 * 3) + (11 * 6)] / (4 + 5 + 11) = 4.53 hours (approximately)

So, an estimate of the mean time spent reading by Dora's friends is approximately 4.53 hours.

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The numbers is 44/3 and 22/3 are that numbers.

Given that

The sum of two numbers is 22.

One of the numbers is two times the other.

To find

What are the numbers ?

So, according to the question

Let's assume that numbers are x and y, where x is greater then y.

So, we can say that

The sum of that numbers,

x+y = 22,  -------------(1)

And

One of the numbers is two times the other.

x = 2y ---------------(2)

Now, put the value of eq(1) in eq(2)

So, we will get

x+y = 22,  -------------(1)

2y+y = 22

3y = 22

y = 22/3

Now, put the value of y in eq(2)

So, we will get

 x = 2y ---------------(2)

x = 2 (22/3)

x = 2 ×\(\frac{22}{3}\)

x = 44/3

That numbers are 44/3 and 22/3.

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Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Occupants are 10 times more likely to be killed in a crash when not buckled in. option c.

Wearing a seatbelt is one of the simplest ways to protect oneself while in a vehicle. When properly worn, it decreases the likelihood of being seriously injured or killed in a collision by as much as 50%. When an individual is not wearing a seatbelt, they are putting their lives at risk. Wearing a seatbelt should be a routine habit whenever an individual sits in a vehicle.

Buckling up is the easiest and most effective way to prevent injuries and fatalities on the road. If drivers, passengers, and children buckle up every time they travel in a vehicle, the likelihood of being killed or injured in a collision is greatly reduced. When occupants of a vehicle do not buckle up, they are 10 times more likely to be killed in a crash. This means that the likelihood of being killed is significantly higher when not wearing a seatbelt.

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This student performed better than 68% of the other test-takers in the verbal part and better than 27% in the quantitative part.

Given,

Test-taker scored at the 68th percentile for their verbal grade and at the 27th percentile for their quantitative grade .

Now,

68% percentile : 68% scores equal or less .

27% percentile : 27^ scored equal or less .

Thus option D

This student performed better than 68% of other test taker in verbal and better than 27% in quantitative part .

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Answer:

80 & 105

Step-by-step explanation:

The solution of the expression after evaluation is 24.

The solution of the expression is calculated by simplifying the expression as follows;

The given expression; [ 28 - (-18)]/2  - [15-(-2)(-6)/-3]

The expression is simplified as follows;

[ 28 - (-18)]/2 = (28 + 18)/2 = (46/2) = 23

[15-(-2)(-6)/-3] = (15 - 12)/(-3) = (3)/(-3) = -1

The final solution of the expression is calculated as follows;

[ 28 - (-18)]/2  - [15-(-2)(-6)/-3] = 23 - (-1)

= 23 + 1

= 24

Thus, the final solution of the expression is determined by applying the rule of BODMAS.

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Answer:

radius would be 14. you get the circumference (87.92) and divide it by pi (3.14) you get 28 which is the diameter and divide it by 2 and you get the radius 14.

Step-by-step explanation:

The sample mean is 1.1 seconds, the standard deviation is 0.008 seconds² and 0.09 seconds is the sample standard deviation.

(a) The sample mean, x, is the sum of the data values divided by the sample size, n. In this case, the sample mean, x = (1.1 + 0.9 + 1.4 + 1.1 + 1.0)/5 = 1.1 seconds.

(b) The sample variance, s2, is calculated by taking the sum of the squared differences between each data value and the sample mean, divided by the sample size minus one. Therefore, s2 = ( (1.1 - 1.1)2 + (0.9 - 1.1)2 + (1.4 - 1.1)2 + (1.1 - 1.1)2 + (1.0 - 1.1)2 )/ (5 - 1) = 0.008 seconds².

(c) The sample standard deviation, s, is the square root of the sample variance, s2. Therefore, the sample standard deviation, s, is 0.09 seconds.

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Answer:

dk dc

Step-by-step explanation:

The required rate of change in temperature drop by 29 degrees over 8 hours is 3.625 degrees per hour.

Given that,
The temperature drops 29 degrees over 8 hours.
Rate of temperature drop per hour to be determined.

The rate of change is defined as the change in value with the rest per unit time called the rate of change.

Here,
The temperature drops 29 degrees over 8 hours.

Rate of temperature drop per hour,
Rate of change = Total temperature drop/time
Rate of change = 29 / 8
                     = 3.625 degrees per hour.

Thus, the required rate of change in temperature drop by 29 degrees over 8 hours is 3.625 degrees per hour.

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Answer: 0.2 cm/yr

Step-by-step explanation:

simply divide centimeters by years

25.0 cm ÷ 125 yr

0.2 cm/yr ... answer



The rate of uplift is 0.2 cm/yr

hope that helps...

The definition of vector space that fails is part A and B  because it does not satisfy the any property of vector space.

The following statement can be determined if at-least one part of vector space definition that fails as:

(a) A is not a vector space because it does not contain the zero vector.

The zero vector is the unique vector that satisfies the property that when it is added to any other vector in the space, the result is the original vector.

However, in this case, the [a1, b1] + [a2, b2] = [a1 - a2, b1 - b2] is 0x² + 1, which is not an element of A. Therefore, A fails to satisfy the requirement of having a zero vector, and it is not a vector space.

(b) B is not a vector space because it does not satisfy the distributive property of scalar multiplication over vector addition.

In general, scalar multiplication must distribute over vector addition, meaning that for any scalar a and any vectors u and v in the space, a(u+v) = au + av.

However, in B, the scalar multiplication is defined as usual for R², but the vector addition is defined differently. In particular,[a1, b1] + [a2, b2] = [a1 - a2, b1 - b2].

The vector space definition fails because the vector addition is not associative, and it is also not commutative, which are the first two conditions for vector spaces. Therefore, the first and second conditions of the definition are not met.

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Answer:

1.27cm

Step-by-step explanation:

Volume(v) =100 cm

Radius(r) =5cm

Height(h) =?

Now,

Volume of cylinder (v) =¶r^2h

100 =22/7*5*5*h

100=78.57h

H=100/78.57

H=1.27cm

Height of cylinder is 1.27cm

In these options, 0ption D that is, Multicollinearity, is not an assumption of the regression model.

The regression model is a statistical technique used to model the relationship between a dependent variable and one or more independent variables. There are several assumptions associated with the regression model, which should be satisfied for accurate and reliable results.

Option A, Linearity, assumes that there is a linear relationship between the independent variables and the dependent variable. It implies that the relationship can be represented by a straight line.

Option B, Independence, assumes that the observations or data points used in the regression model are independent of each other. This means that the value of one observation does not depend on or influence the value of another observation.

Option C, Homoscedasticity, assumes that the variance of the errors or residuals in the regression model is constant across all levels of the independent variables. It implies that the spread or dispersion of the residuals is consistent.

Option D, Multicollinearity, is not an assumption of the regression model. Multicollinearity refers to a high correlation between independent variables in the regression model, which can cause issues in estimating the individual effects of the independent variables.

Therefore, the correct answer is D) Multicollinearity, as it is not an assumption of the regression model.

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The null and alternative hypothesis is H₀ : p = 0.30 and Hₐ : p ≠ 0.30 respectively.

A hypothesis is a theory put up to explain a phenomenon. A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis.

Two alternatives being the same is the null hypothesis. The underlying assumption is that the observed difference is just the result of chance.

One of the ideas put out in the hypothesis test is the alternate hypothesis.

Mild depression affects about 30% of adults in the 50 to 60 age range.

500 people between the ages of 50 and 60 are chosen at random by the researcher, and they are instructed to take a vitamin D pill for six months.

The psychologist classifies 158 people as depressed.

The null hypothesis will be:

H₀ : p = 0.30 and;

The alternative hypothesis is,

Hₐ : p ≠ 0.30

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The density is 1.7 x 10^-27 kg/m^3.

The density of a proton can be determined by calculating its mass and volume. Given the volume of a sphere, the density of a proton can be expressed to two significant figures.

To determine the density of a proton, we need to calculate its mass and volume. The mass of a proton is approximately 1.67 x 10^-27 kilograms. The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius. Since a proton is considered a point particle, it does not have a defined radius. Therefore, we assume the radius to be extremely small, close to zero. Substituting this value into the volume equation, we get V = (4/3)π(0)^3 = 0. However, the mass of the proton remains unchanged. Thus, the density of a proton is approximately 1.67 x 10^-27 kilograms per cubic meter. Rounded to two significant figures, the density is 1.7 x 10^-27 kg/m^3.

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When developing a multiple-year operating forecast, all of the following factors are typically important:

1. Historical Data: Analyzing past performance and trends is crucial for understanding the company's financial position and making informed projections.

2. Market Analysis: Evaluating the current market conditions, industry trends, and competitive landscape helps identify opportunities and potential risks that can impact the forecast.

3. Strategic Goals and Objectives: Aligning the forecast with the organization's long-term goals and objectives ensures that it supports the company's overall strategic direction.

4. Economic Factors: Considering macroeconomic indicators such as GDP growth, inflation rates, interest rates, and exchange rates helps anticipate how the broader economy might affect the business.

5. Internal Factors: Assessing internal factors like sales pipelines, production capacity, staffing levels, and operational efficiencies allows for a more accurate forecast based on the company's specific capabilities.

6. Assumptions and Scenarios: Developing a range of scenarios based on different assumptions helps account for uncertainties and provides a comprehensive view of potential outcomes.

7. Financial Analysis: Conducting financial analysis, including ratio analysis, cash flow projections, and profitability assessments, helps validate the feasibility and sustainability of the forecast.

Given that all the factors mentioned above are important for developing a multiple-year operating forecast, none of them can be considered unimportant in this context.

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Answer: 39 tins of cat food.

Step-by-step explanation:

I am assuming the question is how the number of tins that can be bought.

Step 1 - Discounted price

With the discount a tin would cost;

= 80 * ( 1 - 25%)

= 60 cents

Step 2 - Packs of 6 purchased at discounted price

Every pack of 6 attracts 60 cents off which means that they are paying the price of 5 tins for 6 tins.

Price of 5 tins;

= 60 * 5

= $3

Out of $20, the number of packs of 6 he can buy are;

= 20/ 3

= 6.67

= 6 packs of 6

Step 3 - Number tins not in pack of 6 bought

If he buys 6 packs of 6 the amount of money left is;

= 20 - ( 6 * 3)

= $2

With these $2, he could buy;

= 200 cents/60 cents

= 3.333

= 3 tins

Step 4 - Total number of Tins bought

The total number of tins he can buy are therefore;

= 6 packs of 6 + 3 tins

= (6 * 6) + 3

= 39 tins of cat food.

The null and alternative hypothesis for testing whether the proportion of adults optimistic about the national outlook is greater than 50% are:

A) H0: p = 0.5, Ha: p > 0.5

The critical value for this one-tailed test at a significance level of 0.05 is:

B) 1.645

The test statistic is calculated based on the given data and is compared to the critical value:

C) The test statistic is not provided in the question.

Based on the provided information, the conclusion would be:

D) Reject the null hypothesis. The proportion is greater than 50%.

In hypothesis testing, the null hypothesis (H0) represents the claim that is being tested, while the alternative hypothesis (Ha) represents the opposing claim.

In this case, the campaign manager wants to claim that the majority of adults are optimistic about the national outlook, which suggests that the proportion (p) of optimistic adults is greater than 50%.

To test this claim, the null hypothesis is set as H0: p = 0.5, assuming that the proportion is equal to 50%.

The alternative hypothesis is set as Ha: p > 0.5, indicating that the proportion is greater than 50%.

The critical value represents the threshold beyond which we reject the null hypothesis.

For a one-tailed test at a significance level of 0.05, the critical value is 1.645.

The test statistic, which is not provided in the question, is calculated based on the given data and is compared to the critical value.

The test statistic measures the difference between the observed data and what would be expected under the null hypothesis.

Based on the calculated test statistic and comparison with the critical value, if the test statistic is greater than the critical value, we reject the null hypothesis.

In this case, the conclusion is to reject the null hypothesis, indicating that the proportion of adults optimistic about the national outlook is greater than 50%.

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Answer:

x=5/2, -3

Step-by-step explanation:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.

have a great day and thx for your inquiry :)

Answer:

-4.9x^2 + 31x = 0

Step-by-step explanation:

The volume of the shaded region is 553.15m³.

A cylinder is a three-dimensional object. It is made up of a prism with a circular base.

Volume of a cylinder = πr²h

Where:

The volume of the shaded region is the volume of the cylinder less the volume of the unshaded region.

Volume of the whole cylinder = 22/7 x 5² x 11 =  864.29 m³

Radius = diameter / 2 = 10 / 2 = 5

Volume of the unshaded region = 22/7 x 3² x 11 = 311.14m³

Radius = diameter / 2 = 6/2 = 3

The volume of the shaded region =  864.29 in³ -  311.14in³ = 553.15m³

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Answer:

The PC 5150 is sold anywhere from $50 - $500 I believe it is a reasonable price since it is an old item and does not work as well as the newer and better ones.

Hope this helped : )

According to Pythagoras theorem,

h² = b² + h²

=> x² = 21² + 20²

=> x² = 441 + 400

=> x = √841

=> x = 29

Thus, the length of the unknown side is 29 units.

Answer:

40

Step-by-step explanation:

Answer:

14 months

Step-by-step explanation:

150 - 24 = 126 then divided by 9 which = 14 so it will take 14 months to get 150

Answer:

77.5

Step-by-step explanation:

55 and 100 average provides comprehensive information about what is the average of 55 and 100, and how it is being calculated mathematically. To calculate the average, the given quantities 55 and 100 can be of any physical quantity but both should have been expressed in the same measurement units.

55 and 100 average:

= (55 + 100)/2,

= 155/2,

= 77.5

The value of k to the nearest integer is 21

If the number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011 will be expressed as:

k = 24.7 - (13% of 24.7)

k = 24.7 - (0.135 * 24.7)

k = 24.7 - 3.3345

k = 21.3655

Hence the value of k to the nearest integer is 21

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