1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
xxTIMURxx [149]
3 years ago
8

Nutz and Boltz, Inc., employs one hundred people; eighty are lawyers and twenty are engineers. Albert, a lawyer at the company,

is quiet, likes puzzles, and carries a calculator. Most people, when asked whether Albert is a lawyer or an engineer, will guess that he is an engineer. These people are using __________ to make this faulty guess. A correct guess would have been made if they had used __________.
Mathematics
1 answer:
STALIN [3.7K]3 years ago
5 0

Answer:

These people are using <u>the representativeness heuristic </u>to make this faulty guess. A correct guess would have been made if they had used <u>base rate information</u>.

Step-by-step explanation:

Representativeness heuristic occurs when the similarity of items or events causes individuals to be perplexed about the likelihood of a given result. People usually make the error of guessing that two comparable things or occurrences are more closely related than they are. Therefore, the similarity of an engineer and a calculator confuse the people to guess that Albert is an engineer.

Base rate information refers to the information provided by base rates which are a type of statistic that is used to describe the percentage of a population that exhibits a certain feature. Base rates suggest the likelihood of something based on the lack of other facts. Using the information in the question as an example, if 20% of the employees were engineers and 80% were lawyers, the base rate of lawyers is simply 80%. This implies that Albert is a lawyer, but we won't know for sure until we look at the total number of workers that the base rate information reveals that he is a lawyer.

Therefore, these people are using <u>the representativeness heuristic </u>to make this faulty guess. A correct guess would have been made if they had used <u>base rate information</u>.

You might be interested in
Simplify 11^-4/11^5 <br> A 1/11^12<br> B 1/11^4<br> C 11^4<br> D 11^12
ad-work [718]

Answer:

a

Step-by-step explanation:

7 0
3 years ago
Which of the following equations is equivalent to 3/4a-6=1/4
GaryK [48]

Answer:

x=25 over 3

Step-by-step explanation:

3÷4a-6=1÷4 convert to

3

_x-6= 0.25

4

3x-24=1

3x=24+1

3x=25

divide both sides by 3 and you'll get:

25

----

3

5 0
3 years ago
Solve the initial value problem
tigry1 [53]

9(t+1)\dfrac{\mathrm dy}{\mathrm dt}-7y=14t\implies\dfrac{\mathrm dy}{\mathrm dt}-\dfrac7{9(t+1)}y=\dfrac{14t}{9(t+1)}

Look for an integrating factor \mu(t):

\ln\mu=\displaystyle-\frac79\int\frac{\mathrm dt}{t+1}=-\frac79\ln(t+1)\implies\mu=(t+1)^{-7/9}

Multiply both sides by \mu:

(t+1)^{-7/9}\dfrac{\mathrm dy}{\mathrm dt}-\dfrac79(t+1)^{-16/9}y=\dfrac{14}9t(t+1)^{-16/9}

Condense the left side as the derivative of a product:

\dfrac{\mathrm d}{\mathrm dt}\left[(t+1)^{-7/9}y\right]=\dfrac{14}9t(t+1)^{-16/9}

Integrate both sides:

(t+1)^{-7/9}y=\displaystyle\frac{14}9\int t(t+1)^{-16/9}\,\mathrm dt

For the integral on the right, substitute

u=t+1\implies t=u-1\implies\mathrm dt=\mathrm du

\displaystyle\int t(t+1)^{-16/9}\,\mathrm dt=\int(u-1)u^{-16/9}\,\mathrm du

\displaystyle=\int\left(u^{-7/9}-u^{-16/9}\right)\,\mathrm du=\frac92u^{2/9}+\frac97u^{-7/9}+C

\implies(t+1)^{-7/9}y=\dfrac{14}9\left(\dfrac92(t+1)^{2/9}+\dfrac97(t+1)^{-7/9}+C\right)

\implies(t+1)^{-7/9}y=7(t+1)^{2/9}+2(t+1)^{-7/9}+C

\implies y=7(t+1)+2+C(t+1)^{7/9}=7t+9+C(t+1)^{7/9}

Given that y(0)=12, we get

12=9+C\implies C=3

\implies\boxed{y(t)=7t+9+3(t+1)^{7/9}}

6 0
3 years ago
How do you solve this
Katen [24]

Answer:

4x^-4/9y^6

Step-by-step explanation:

If the exponent is outside the bracket, it means that all the terms inside will be raised to that exponent. This means that:

(2x^-2 / 3y^3)^2 = 2^2*(x^-2)^2 / 3^2*(y^3)^2

When exponents are raised to an exponent, the exponents are multiplied together, so (x^-2)^2 will = x^(-2*2) = x^-4

Going through:

2^2*(x^-2)^2 / 3^2*(y^3)^2

=4*x^-4 / 9*y^6

=4x^-4/9y^6

Hope this helped!

8 0
3 years ago
What is the distance between the points (6,-7) and (1,5)
amid [387]

Answer: The distance is d = 13 .

Step-by-step explanation:

In order to find the distance between the two points, you need the distance formula:

d = \sqrt{(x_{2} - x_{1})^2 +(y_{2} - y_{1})^2} where there is (x_{1}, y_{1}) and (x_{2}, y_{2}) .

-Use the those two points (6,-7) and (1,5) for this formula:

d = \sqrt{(1 -6)^2 +(5 + 7)^2}

-Then, you start solving:

d = \sqrt{(1 -6)^2 +(5 + 7)^2}

d = \sqrt{(-5)^2 +(12)^2}

d = \sqrt{25 +144}

d = \sqrt{169}

d = 13

So, therefore, the result is d = 13 .

3 0
3 years ago
Other questions:
  • HELP BEEN HAVING A BAD DAY<br> Find the slope of each line (each block is one unit):
    13·1 answer
  • Y=|2x-3|+1<br>does this represent a function and why​
    14·1 answer
  • Earn <br> 14 Points ❤️if answer
    12·1 answer
  • Afla cate procente reprezinta numarul a din numarul b daca a si b sunt invers proportionale cu numerele 12 si 15
    11·1 answer
  • PLS ANSWER ASAP!!!!!!!!!! I WILL GIVE BRAINLIEST FOR THE FIRST PERSON TO GET IT RIGHT
    6·2 answers
  • Please answer correctly! I will mark you as Brainliest!
    12·1 answer
  • Cerell’s Clothing
    13·1 answer
  • What single decimal multiplier would you use to increase by 5% followed by a 20% increase?
    8·1 answer
  • PLS ANSER ASAP!!! sort out the statements and formulas into the right two categories!
    10·1 answer
  • First drop down : 1. Cylinder 2.sphere
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!