Answer:
These people are using the representativeness heuristic to make this faulty guess. A correct guess would have been made if they had used base rate information.
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 the representativeness heuristic to make this faulty guess. A correct guess would have been made if they had used base rate information.
perimeter: ______ cm
area: _______ cm squared
Answer:
perimeter: 29 cm
Area: 49.5 cm^2
Step-by-step explanation:
perimeter is 9.5 + 6 + 7 + 6.5 = 29
Area: 7 * 6 = 42
9.5 - 7 = 2.5
2.5 * 6 = 15
15/2 = 7.5
42 + 7.5 = 49.5
а
The radius
of
a circle is 10cm and
the length of a chord is 12 cm.
Then , calculate the distance between
the chord and centre of
a circle
Step-by-step explanation:
by referring to the diagram,
a = 8
what's the explicit formula for 5,10,15,20,25,30
Answer:
[tex]a_{n}[/tex] = 5n
Step-by-step explanation:
There is a common difference d between consecutive terms
d = 10 - 5 = 15 - 10 = 20 - 15 = 25 - 20 = 30 - 25 = 5
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 5 , then
[tex]a_{n}[/tex] = 5 + 5(n - 1) = 5 + 5n - 5 = 5n
In triangle RST, angle R is a right angle. If TR = 6 and TS = 8, what is the length of RS
Answer:
RS = 2[tex]\sqrt{7}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
RS² + RT² = TS² , that is
RS² + 6² = 8²
RS² + 36 = 64 ( subtract 36 from both sides )
RS² = 28 ( take the square root of both sides )
RS = [tex]\sqrt{28}[/tex] = [tex]\sqrt{4(7)}[/tex] = 2[tex]\sqrt{7}[/tex] ≈ 5.3 ( to 1 dec. place )
How much longer is path c than path d?
Answer:
1000
Step-by-step explanation:
the math
Josh graphed the function f(x)=-3(x-1)^2 +2. He then graphed the function g(x)=-3(x-1)2 -5 on the same coordinate plane. The vertex of g(x) is
Answer:
the graph of f(x) is {5 - (-2)) units, or 7 units, higher than that of g(x)
Step-by-step explanation:
The vertex form of a quadratic equation is y = a(x - h)^2 + k. (h, k) represents the vertex.
Comparing the given f(x) = -3(x-1)^2 to the above general form, we see that h = 1 and k = 2.
Comparing the given g(x) = -3(x-1)^2 to the above general form, we see that h = 1 and k = -5.
Thus, the x-coordinates of the vertex in both cases are the same: 1. The y-coordinates differ: for f(x), k = 2. and for g(x), k = -5.
Changing the k value translates the graph up or down.
In this case we see that the graph of f(x) is {5 - (-2)) units, or 7 units, higher than that of g(x).
area of a parallelogram with a base of 7cm and a perpendicular height of 9 cm
Answer:
63
Step-by-step explanation:
A=bh=7·9=63
base times perpendicular height
Answer:
63
Step-by-step explanation:
7x9=63
you copied my answer on a different question.
and literally copied and pasted it and it's so obvious and i saw u change it
what is the proper seperation of factors for this equation ∛24n² × ∛36n²
Answer:
[tex]{ \tt{ \sqrt[3]{24 {n}^{2} } \times \sqrt[3]{36 {n}^{2} } }} \\ = { \tt{( {n}^{ \frac{2}{3} })( \sqrt[3]{864}) }}[/tex]
Justin was asked to write equations based on the triangle below. So far he has come up with the following equations: Which of the following would be another correct equation?
Answer:
C: tan 60 = √3
Step-by-step explanation:
Let the adjacent part of the triangle be x and let the opposite side be y.
Thus, from trigonometric ratios;
x/10 = cos 60
We are given cos 60 = ½
Thus;
x/10 = ½
x = ½ × 10
x = 5
Similarly;
y/10 = sin 60
Now,from trigonometric relationship we know that; sin 60 = cos 30. Thus;
y/10 = cos 30
We are given cos 30 = (√3)/2
Thus;
y/10 = (√3)/2
y = 10 × (√3)/2
y = 5√3
Since it is a right angle triangle with one angle being 60°, it means the other one is 30° since sum of angles in a triangle is 180°.
Thus;
5/(5√3) = tan 30°
1/√3 = tan 30
Similarly;
5/10 = sin 60°
sin 60° = ½
Also;
tan 60 = (5√3)/5
tan 60 = √3
Also;
sin 30 = 5/10
sin 30 = ½
Looking at the options, the only correct one is Option C
Find the surface area of a cylinder with a height of 9 ft and a base diameter of 8 ft.
Use the value 3.14 for n, and do not do any rounding.
Be sure to include the correct unit.
Answer:
326.56 square feet
Step-by-step explanation:
Surface area of a cylinder = 2πrh + 2πr²
Radius = Diameter/2
= 8 ft/2
= 4 ft
Height = 9 ft
Surface area of a cylinder = 2πrh + 2πr²
= (2 * 3.14 * 4 * 9) + (2 * 3.14 * 4²)
= 226.08 + 100.48
= 326.56 square feet
Surface area of a cylinder = 326.56 square feet
Please answer this correctly .
Answer:
Ummm We Know A triangle Degrees Is ( in total) 180*
SO If 30* is one side then it's 30* - 180 = 150 split that and you have 125 and 125 for the last 2 side hope it helps
平和
A cylinder that is 4 high and 12 across. what's the volume?
Help please
Answer:
The correct ans is in the picture
Step-by-step explanation:
Don't worry it is 100% correct!
son las partes de las que se compone el reporte de la encuesta:
A)lnicio, desarrollo y fin.
B) lntroduccion, desarrollo y conclusiones.
C ) Entrada,cuerpo y cierre
D )Ninguno de los anteriores
Answer:
Na dimio reso
Ta pidi yo
Era olvida yo contigo
Step-by-step explanation:
there's no explanation
PLEASE HELP THANK YOU EVERYBODY
Answer:
150 in^2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Givens
L = 9
W = 4
H = 3
Formula
SA = 2*L*w + 2*L*H + 2 * H * W
Solution
SA = 2 * 9*4 + 2*9*3 + 2*3 * 4
SA = 72 + 54 + 24
SA = 150 in^2
A large water bottle holds 25 litres of water correct to the nearest liter. A drinking glass holds 0.3 litres correct to the nearest 0.1 litres Calculate the lower bound for the number of glasses of water which can be filled from the bottle
This question is solved using rounding and proportion concepts.
Using this, we find that: the lower bound for the number of glasses of water which can be filled from the bottle is 100.A drinking glass holds 0.3 litres correct to the nearest 0.1 litres
This means that, with 2 decimal places, the drinking glass holds between 0.25 litres and 0.34 litres.
-------------------------------------
Calculate the lower bound for the number of glasses of water which can be filled from the bottle
For the lower bound, we consider that 1 glass holds 0.25 litres, and want to find how many glasses are needed for 25 litres. So
1 glass - 0.25 litres
x glasses - 25 litres
Applying cross multiplication:
[tex]0.25x = 25[/tex]
[tex]x = \frac{25}{0.25} = 100[/tex]
Thus, the lower bound for the number of glasses of water which can be filled from the bottle is 100.
A similar question is found at https://brainly.com/question/21369672
What is the answer of
Step-by-step explanation:
here is the answer babe. Feel free to ask for more
Answer: - 1.
Step-by-step explanation:
[tex]\frac{\dfrac{x+y}{x-y} }{\dfrac{y+x}{y-x} } =\dfrac{x+y}{x-y} \div \dfrac{y+x}{y-x}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{x+y}{x-y} \times \dfrac{y-x}{y+x}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{x+y}{x-y} \times \dfrac{-(x-y)}{x+y}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{-(x+y)(x-y)}{(x-y)(x+y)} \\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = -1[/tex]
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answer:
77
Step-by-step explanation:
i took the test
Answer:
c
Step-by-step explanation:
C. Identify the following as a constant, linear, or absolute value
function and tell the shape of each.
Answer:
here is the answer bae. Feel free to ask for more
Answer:
5. Is linear
6. absolute value function
Step-by-step explanation:
express 3432 as a product of its prime factors
Answer:
2³ × 3 × 11 × 13
Step-by-step explanation:
By prime factorisation,
→ 3432 = 2 × 2 × 2 × 3 × 11 × 13
→ 3432 = 2³ × 3 × 11 × 13
Work out the value of
[tex]2 ^{3}x2 [/tex]
Answer:
Answer is 12
Step-by-step explanation:
ok 3x2=6 1ñ 2 12
ok 3
they have 46 row in a theater. there are 42 seats and 50 seats empty calculate how many person was watching the show.
Answer:
8 people watched the show
Step-by-step explanation:
50 - 42 = 8
find the value of (1) sin 60°+cis 30°/ tan 30°*tan 60°
Answer:
sin60°+cos30/tan30*tan60
1/2+√3/2/1
1+√3/2
What are the factors of x2 – 100?
Answer:
(x - 10)(x + 10)
Step-by-step explanation:
x² - 100 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
x² - 100
= x² - 10²
= (x - 10)(x + 10)
What is the first step when factoring the trinomial .,
Answer:
Step 1: Set up a product of two ( ) where each will hold two terms. Step 2: Find the factors that go in the first positions. Step 3: Find the factors that go in the last positions. We need two numbers whose product is 9 and sum is 2.p explanation:
Answer:
A❤️✌️❤️✌️❤️Aaaaaa
if the radius is 91cm what would be the diameter and circumference?
Answer:
C=3.14*91
D=91*2
C=285.74
D=182
Hope This Helps!!!
HELP FAST
1. Find the missing angle measurements.
2. Describe how you found the missing angle measurements.
3. List all angle relationships.
4. Identify which angle relationships are Supplementary or Equal.
Answer:
Angle 1: 145 degrees
Angle 2: 35 degrees
Angle 3: 145 degrees
Angle 4: 35 degrees
Angle 5: 145 degrees
Angle 6: 35 degrees
Angle 7: 145 degrees
Angle 8: 35 degrees
Step-by-step explanation:
1) See above.
2) Angles 4 and 2 are equal, because they are vertical angles (share a vertex) where two parallel lines are cut by a transversal (line c?)
Angles 1 and 2 equal 180 degrees when added together, so 180 - 35 = 145, which is the measure of angle 1.
Angles 1 and 3 are also vertical, and therefore equal.
When two or more lines are cut by a transversal, the angles that are in the same relative position are corresponding angles.
When the lines are parallel, the corresponding angles are congruent.
Congruent angles are equal. So Angle 1 = Angle 5 and Angle 2 = Angle 6. Then the rules for vertical angles apply again, giving you the measures for angles 7 and 8.
3) 1 and 3 are vertical, 2 and 4 are vertical, 5 and 7 are vertical, 6 and 8 are vertical.
1 and 5 are corresponding, 2 and 6 are corresponding, 3 and 7 are corresponding, 4 and 8 are corresponding.
4) 1 and 2, 3 and 4, 5 and 6, 7 and 8 are all supplementary pairs.
1 and 4, 2 and 3, 5 and 8, and 6 and 7 are supplementary pairs.
1 and 3, 2 and 4, 5 and 7, 6 and 8 are equal pairs because they are vertical.
1 and 5, 2 and 6, 3 and 7, 4 and 8 are equal pairs because they are corresponding.
Hopefully this covers all they wanted.
MAGALI COMPRAR 15 CHOCOLATES A $0,75 CADA UNA , Y 13 PAQUETES DE GALLETAS A $ 1,25 CADA UNO ¿CUANTO DEBBE PAGAR?
Answer:
The total amount paid is $ 27.5.
Step-by-step explanation:
MAGALI BUY 15 CHOCOLATES AT $ 0.75 EACH ONE, AND 13 PACKAGES OF COOKIES AT $ 1.25 EACH, HOW MUCH SHOULD I PAY?
Number of chocolates = 15
Cost of a chocolate = $ 0.75
Packet of cookies = 13
cost of one packet of cookie = $ 1.25
The total amount paid is
= 15 x $ 0.75 + 13 x $ 1.25
= $ 11.25 + $ 16.25
= $ 27.5
the force which pulls or tends to pull a body is called____
Answer:
force of gravity
hope it helps
pls mark me as the brainliest
thank u
Answer:
pulling force
Step-by-step explanation:
There is no special name for that.
Physics is usually just concerned with "forces", and doesn't specify whether the force pushes or pulls.
If you want to be more specific, you can just call it a "pulling force".
I hoped this was satisfying!
Select the correct answer.
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the
y variable, and what is the solution for this system?
x+3y= 42
2x - y = 14
OA. Multiply the second equation by-3. The solution is x= 12, y=9.
OB. Multiply the second equation by -2. The solution is x = 12, y=10.
OC. Multiply the second equation by 2. The solution is x = 15, y = 9.
OD. Multiply the second equation by 3. The solution is x = 12, y = 10.
Answer:
Multiply the second equation by 3. The solution is x = 12, y = 10.
Step-by-step explanation:
The given equations are :
x+3y= 42 ....(1)
2x - y = 14 ...(2)
For elimination method,
Multiply the second equation by 3.
6x-3y=42 .....(3)
Adding equations (1) and (3).
x+3y+6x-3y=42+42
7x = 84
x = 12
Put the value of x in equation (1).
12+3y= 42
3y = 30
y = 10
So, x = 12 and y = 10. Hence, the correct option is (d).
Convert 3.5 ⋅ 104 to standard form.
Answer:
In standard notation [tex]3.5 \times 10^4 = 35000[/tex]
In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of 10.
----------------
If it was 3.5 x 104 it would equal 350.