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Alinara [238K]
3 years ago
8

Product preference depends in part on the age, income, and gender of the consumer. A market researcher selects a large sample of

potential car buyers. For each consumer, she records gender, age, household income, and automobile preference. Which of these variables are categorical and which are quantitative?
gender 1---Select---categorical quantitative
age 2---Select---quantitative categorical
household income 3---Select---quantitative categorical
automobile preference4 Select---quantitative categorical
Mathematics
1 answer:
Serhud [2]3 years ago
5 0

Answer: Gender = categorical ; Age = quantitative ; Household income = quantitative ; Automobile preference = Categorical

Step-by-step explanation:

Distinction between quantitative and categorical variables are based made on whether the variables are represented with a numeric or non-numeric value. Categorical variables usually takes in strings such as in the scenario above, the appropriate input for gender will be either 'Male' or 'Female' and Automobile preference will be a string of the type of automobile which the user prefers. On the other hand, quantitative variables will accept numeric values such as age and household income.

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Can u help me ASAP. i need to know how to do it step by step​
12345 [234]

Answer:

<em>19</em>

Step-by-step explanation:

f(x) =4x^3-8x^2+ax+b has a factor 2x-1 and

when divided by x+2, remainder is 20.

To find:Remainder when divided by (x-1)  ?

Solution:

2x-1 is a factor

2x - 1 = 0 \Rightarrow x = \frac{1}{2} when we put this value of x to the function, it will become 0.

i.e.

\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)

Remainder is 20 when f(x) is divided by x+2

i.e.

f(-2) =20

\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)

Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}

By equation (1):

a+2(18) = 3\\\Rightarrow a = -33

So, the equation becomes:

f(x) =4x^3-8x^2-33x+18

\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}

So, when divided by (x-1), remainder will be <em>19</em>.

4 0
3 years ago
2. Find the product (2x + 3)(3x - 2).
eimsori [14]

Answer:

6x² + 5x - 6

Step-by-step explanation:

Given

(2x + 3)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(3x - 2) + 3(3x - 2) ← distribute both parenthesis

= 6x² - 4x + 9x - 6 ← collect like terms

= 6x² + 5x - 6

6 0
3 years ago
Read 2 more answers
Can someone do these!!!????
evablogger [386]

Answer:

8/32=0.25

Step-by-step explanation:

6 0
3 years ago
WHOEVER GETS THIS RIGHT IN 3 MINUTES GETS THE BRAINLIEST!! Four times the sum of a number and 15 is at least 120. Let x represen
larisa [96]

Hey there!

Let's call this "number" x. We want four times the sum of this number and 15 to equal at least 120.

Therefore, we want this number times four plus fifteen to be greater than or equal to 120. We have:

4(x+15)\geq 120

Distribute:

4x + 60 \geq 120

Subtract:

4x\geq 60

Divide:

x\geq 15

Your answer is C.

Hope this helps!

7 0
3 years ago
One factor of this polynomial is (2x - 1). Use long division to determine which expression represents the other factor. 2x³+ 5x²
rusak2 [61]

-> 3rd answer is correct

6 0
2 years ago
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