The following data set shows a random selection of delivery drivers from a Chinese delivery restaurant. Driver ID Age, years Gender Car Average Time Average Distance, miles 543 19 Male Truck 10 min 36 sec 8.2 228 29 Male Van 9 min 7.1 711 22 Female SUV 11 min 24 sec 7.4 252 17 Female Sports car 6 min 17 sec 6.8 Which of the following variables are categorical?

Answers

Answer 1
Answer:

In the provided data, the categorical variables are gender and car.

In the given data set, the categorical variables are characteristics that can be divided into distinct categories or groups, without considering numerical values.

1. **Gender:** Gender is a categorical variable as it consists of distinct categories such as Male and Female, indicating the driver's gender.

2. **Car:** The type of car each driver uses is also a categorical variable. It includes categories like Truck, Van, SUV, and Sports car, representing different types of vehicles.

These variables are categorical because they represent qualitative characteristics without numerical significance. They provide information about the driver's gender and the type of car they use for delivery.

In contrast, numerical variables such as Age, Average Time, and Average Distance are quantitative and represent measurable quantities.

Age is measured in years, and both Average Time and Average Distance are measured in minutes and miles, respectively. Numerical variables can be further classified into discrete (countable) or continuous (measurable on a scale) variables, but they are not considered categorical as they represent quantities rather than categories.

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Answers

Not completely sure on this one, but the answer I would go with is C (21) because if you factor it out it is 3x7. Both of these numbers are prime. The only thing that is confusing me in your question is the 3x3x3. if you are just asking what 3x3x3 is, then it is 9... so A.

Which of the following numbers has a prime factorization of 3 x 3 x 3?Answer: 27

If a function is derivable at a point it is also continous at that point explain why?

Answers

For a function to have a derivative in a point has to be continuous at the point, that is, it has to be defined at that point, other wise the derivative would be meaningless.

Probability theory predicts that there is a 22.4% chance of a particular soccer player making four penalty shots in a row. If the soccer player taking four penalty shots is simulated 2500 times, in about how many of the simulations would you expect at least one missed shot?

Answers

If there is a 22.4% chance that a soccer player will make 4 shots in a row, then the probability that he/she WON'T make 4 shots in a row is...

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So the number of simulations that he/she will miss at least one shot in 2500 simulations would be...

2500 x 77.6% =
2500 x .776 = 1940

The speeds on the interstate are normally distributed with a mean of 70 mph and a standard deviation of 5 mph. Approximately what percent of speeds fall between 60 mph and 80 mph?

Answers

\mathbb P(60<X<80)=\mathbb P\left(\frac{60-70}5<\frac{X-70}5<\frac{80-70}5\right)=\mathbb P(-2<Z<2)

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Which quantity is best expressed as +5?A. a purchase of $5
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C. a loss of $5
D. an overdraft of $5

Answers

the answer is B. a profit of $5

Blake knows that one of the solutions to x^2- 6x + 8 = 0 is x = 2. What is the other solution

Answers

If one solution of the equation is 2, then the other solution of the equation will be 4.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The equation is given below.

x² - 6x + 8 = 0

Then the factorization of the equation will be

x² - 6x + 8 = 0

x² - 4x - 2x + 8 = 0

x(x - 4) - 2(x - 4) = 0

(x - 4)(x - 2) = 0

x = 2, 4

If one solution of the equation is 2, then the other solution of the equation will be 4.

More about the solution of the equation link is given below.

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This is what is called a quadratic equation, using the formula he got x = 2, using the quadratic we can find the other answer, after using the formula you get 2 answers, which are x= 4 and 2, we already have 2 so the other solution is x = 4 :)