Answer:
C
Step-by-step explanation:
just round up to nearest number and 7/8 is 0.87 so it coloser to 1 than half and the others are way to big.
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 __________.
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.
(FIRST CORRECT FOR BRAINIEST) Given that triangle GHJ = triangle XYZ, what is m
Answer:
∠ J = 71°
Step-by-step explanation:
Given that the triangles are congruent then corresponding angles are congruent, so
∠ H = ∠ Y = 38°
Since GH = JH then Δ GHJ is isosceles and the 2 base angles are congruent
∠ J = [tex]\frac{180-38}{2}[/tex]= [tex]\frac{142}{2}[/tex] = 71°
Graph f(x) = x^3. I forgot my lesson yesterday can someone pls remind me?
Answer:
If the x^3 term is positive (which it is) it will look like this.
Step-by-step explanation:
x = (a+b)2, y = a2+2ab+b2 and z = a2+b2-2ab (a) determine the sum of the numerical co-efficients of z terms. (b) determine y+z and y-z (c) If a = 3 and b = - 2, Prove that x = y
Answer:
The given equations are;
x = (a + b)²
y = a² + 2·a·b + b²
z = a² + b² - 2·a·b
(a) The numerical coefficients of z terms are
1, 1, -2
The sum of the numerical coefficients = 1 + 1 - 2 = 0
(b) y + z is found by substituting the values of 'y' and 'z', in the expression y + z, as follows;
y + z = a² + 2·a·b + b² + a² + b² - 2·a·b = 2·a² + 2·b²
y + z = 2·a² + 2·b²
y - z = a² + 2·a·b + b² - (a² + b² - 2·a·b) = 4·a·b
(c) Given that a = 3, and b = -2, we have;
x = (a + b)² = a² + a·b + a·b + b² = a² + 2·a·b + b² = y
Therefore, x = y, for all values of 'a', and 'b'
Step-by-step explanation:
simplify
[tex] \frac{2e + f}{8e - 2e {}^{2} } \times \frac{4e - e {}^{2} }{2ef + f {}^{2} } [/tex]
The answer is 1/2f
my answer is in the image above
the ratio of fiction books to non-fiction
books in Roxanne's library is 7 to 9.
If Roxanne owns 182 fictions books
how many non-fiction books does she
Answer:
234
Step-by-step explanation:
182/7= 26 9x26=234
why is there a minimum number of characters needed
A jam recipe requires 3 quarts of raspberries. Raspberries are available in 1.5 pint containers at a grocery store. How many containers are required for the recipe?
There are two pints per quart
3 q * 2 p/qt = 6 pints needed
6 pint /1.5 pint/container = 4 containers
A grocer noticed that customers buy both pet and baby supplies with a probability of 0.12. Considered separately, the probability that
customer buys pet supplies is P(A) = 0.64, and the probability that a customer buys baby supplies is P(B) = 0.25.
Move expressions and numbers into the blanks to create an equation that represents the probability that a customer buys either pet
supplies or baby supplies.
Answer:
0.77
Step-by-step explanation:
Given that:
P(A) = 0.64
P(B) = 0.25
P(AnB) = 0.12
Probability that customer buys either pet or baby supplies ; P(AuB)
P(AuB) = P(A) + p(B) - p(Ann)
P(AuB) = 0.64 + 0.25 - 0.12
P(AuB) = 0.77
Find the slope of a line through the points (0,0) and (2, 9). Round your
answer to 1 decimal place.
SLope = y2-y1 / x2-x1
Answer:
Slope = 4.5
Step-by-step explanation:
We need to find the slope of a line through the points (0,0) and (2, 9).
We know that, the slope of a line is given by :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have, x₁ = 0, x₂ = 2, y₁ = 0 and y₂ = 9
Put all the values,
[tex]m=\dfrac{9-0}{2-0}\\\\m=4.5[/tex]
So, the slope of the line is 4.5.
I need the volume of e and f
Answer:
e-154
f-648
Step-by-step explanation:
rttyyuuguguvuhuhihihuhuhuhihihih7
Answer:
for e
[tex] v = \frac{1}{ 2} \times 8 \times 7 \times 5.5 = 154[/tex]
for f
v=6×9×12=648
can I get a walkthrough on these problems please?
Answer:
Step-by-step explanation:
52 + 27 = angle 1 (sum of two interior opposite angle is equal to the exterior angle formed)
79 = angle 1
angle 2 + 71 = 92 degree (sum of two interior opposite angle is equal to the exterior angle formed)
angle 2 = 92 - 71
angle 2 = 21 degree
represent “the product of 9 and a number y” mathematically
Answer:
9y
Step-by-step explanation:
Here, we want to have a mathematical representation
the product of 9 and a number y means we have to multiply 9 by the number y as follows;
= y * 9 = 9y
An equation having p = -3 as its solution, then the equation is .................
Answer:
2p + 9 = 3
2p = 3 - 9
2p = -6
p = -6/2
p = -3
The length of a rectangle is 18 cm and the width is 6 cm. A similar rectangle has a width of 2 cm.What is the length of the second rectangle? pls help im solving hw ._.
Answer:
Length = 6cm
Step-by-step explanation:
You would get 6cm as the length, because 6 ÷ 3 = 2, that is your width. So in the same way, you would divide 18 by 3 and get 6, thus the length of the second rectangle is 6 centimeters
Hope it helps :D
6 cm po tama to mag quandary pi akyu
PLEASE HELP! Which is not a mathematical sentence?
A. 8 + 7 = 15
B. k+ 2<6
C. n+ 19
D. 222
Answer:
D
Step-by-step explanation:
its just rabdom numbers
Answer:
D thats just a number no sequence or any thing
Step-by-step explanation:
Which expression is equivalent to log Subscript 5 Baseline (StartFraction x Over 4 EndFraction) squared?
Answer:
[tex]\log_5(\frac{x}{4})^2 = 2\log_5(x) - 2\log_5(4)[/tex]
Step-by-step explanation:
Given
[tex]\log_5(\frac{x}{4})^2[/tex]
Required
The equivalent expression
To do this, we apply the following law of indices:
[tex]\log_a(b)^c = c\log_a(b)[/tex]
So, we have:
[tex]\log_5(\frac{x}{4})^2 = 2\log_5(\frac{x}{4})[/tex]
To further simplify:
[tex]\log(\frac{a}{b}) = \log(a) - \log(b)[/tex]
So, we have:
[tex]\log_5(\frac{x}{4})^2 = 2(\log_5(x) - \log_5(4))[/tex]
Open brackets
[tex]\log_5(\frac{x}{4})^2 = 2\log_5(x) - 2\log_5(4)[/tex]
Answer:
C.
Explanation:
Edge 2021
20+30x=36+28 any help??
Expected value is: Group of answer choices the average probability of all possible outcomes of a future event occurring, weighted by each possible outcome individually the sum of all probabilities of all possible outcomes of a future event occurring the sum of all possible outcomes of a future event, weighted by its probability of occurring
Answer:
the average probability of all possible outcomes of a future event occurring, weighted by each possible outcome individually
Step-by-step explanation:
An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).
This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.
In Statistics, an expected value can be defined as the average probability of all possible outcomes of a future event occurring in an experiment, weighted by each possible outcome individually. Thus, an expected value in theory refers to the outcome an individual expect to obtain from an experiment in the long-run.
Mathematically, an expected value can be calculated by summing the products of each distinct outcome and their probability respectively.
Does this graph show a function? Explain how you know.
A. Yes; there are no y-values that have more than one x-value.
B. No; there are yvalues that have more than one x-value.
• C. Yes; the graph passes the vertical line test.
• D. No; the graph fails the vertical line test.
Answer:
yes
Yes; the graph passes the vertical line test.
Step-by-step explanation:
if it were a graph of a circle it would not pass
the vertical line test because the vertical line would touch at least 2 points
graph is probably a cubic function
something like
y = x^3-4x+6
If 2 tan x/ 1- tan^2 x=1, then x can equal:
Answer: x=pi/8+npi and x=5pi/8+npi
Step-by-step explanation:
Mr Yadav buys a radio for Rs 640 and sells it for Rs 672 Find it's profit percent In process
Answer:
(672-640)/640 x 100 = 5%
f(x)=x2. What is g(x)?
Answer:
(2x)^2 the answer is option a
What is an equation of the line that passes through the point (-6,5) and is parallel
to the line 2 - 3y = 21?
Answer:
y=1/3x+7
Step-by-step explanation:
Hi there!
We're given the equation x-3y=21 and we want to find the equation of the line parallel to x-3y=21 that passes through (-6,5)
Parallel lines have the same slopes, but different y intercepts
So we need to find the slope of x-3y=21
To do that, we can convert x-3y=21 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).
We'll need to isolate y onto one side
subtract x from both sides
-3y=-x+21
divide both sides by -3
y=1/3x-7
1/3 is in the place where m is, so 1/3 is the slope of the line
it's also the slope of the line parallel to x-3y=21
here's the equation of the line parallel to x-3y=21 so far:
y=1/3x+b
we need to find b
as the line passes through (-6,5), we can use it to solve for b
substitute -6 as x and 5 as y
5=1/3(-6)+b
multiply
5=-2+b
add 2 to both sides
7=b
Substitute 7 as b into the equation
y=1/3x+7
Hope this helps!
https://hegartymaths.com/assessment
Several points are given on the graph below.
a) A, B and C are three corners of a rectangle.
Write the coordinates of the other corner.
b) C, D and E are three vertices of a rhombus.
Write the coordinates of the other vertex.
5 ty
А.
В.
4
.
3
2
1.
-5
-4
-3
-1
2
3
4
-2
E
5
-1
D.
-2
-3
-4
-5
Answer:
??????????
Step-by-step explanation:
Answer:
need more clarification
Step-by-step explanation:
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what frcation is equal to 4
An object is experiencing an acceleration of 30 m/s2 while traveling in a
circle at a velocity of 3.7 m/s. What is the RADIUS of its motion?
Answer:
[tex]{ \tt{formular :}} \\ { \boxed{ \bf{centripental \: acceleration = \frac{ {v}^{2} }{r} }}} \\ \\ { \tt{30= \frac{ {3.7}^{2} }{r} }} \\ \\ { \tt{r = \frac{ {3.7}^{2} }{30} }} \\ \\ { \tt{radius = 0.456 \: meters}}[/tex]
Fragrant Fields Greenhouse sells rose bushes for $19.90 each. Last weekend, they made $477.60 on rose bushes. How many rose bushes did they sell?
Answer:
Fragrant Fields Greenhouse sold 24 rose bushes.
Step-by-step explanation:
We know that:
1 rose bush = $19.90
And last weekend, the company ended up making $477.60 on rose bushes.
An equation that can represent this situation is:
19.90x = 477.60
To find x, divide:
477.60 ÷ 19.90 = 24
CHECK IT:
19.90(24) = 477.6
That is also $477.60, in terms of money
THEREFORE, the company sold 24 rose bushes.
Hope this helps!
What is the simplified value of the exponential expression 273?
不
1
Ο Ο Ο
9
Answer:
The answer is 3
For the steps, Im leaving it blank for you to figure it out first.
If you really need help, ask anytime and I'll reply as soon as i can :)
If you answer I will mark you brainliast
Exercise 6
Use the x button on a calculator. You will need basic trigonometry (page 209).
1. The chord AB subtends an angle of 130° at the centre O.
The radius of the circle is 8 cm. Find:
a) the length of AB
b) the area of sector OAB
c) the area of triangle OAB
d) the area of the minor segment (shown shaded).
2. Find the shaded area when:
a) = 6 cm, 0 - 70°
b) r=14 cm, 0 = 104°
c) r=5 cm, 0 = 80
8 cm
1.
3. Find and hence the shaded area when:
a) AB = 10 cm, r= 10 cm
b) AB=8 cm, r = 5 cm
4. How far is a chord of length 8 cm from the centre of a circle of radius 5 cm?
5. How far is a chord of length 9 cm from the centre of a circle of radius 6 cm?
Step-by-step explanation:
Refer Fig 1 as attached
1a. angle a = angle b = 25°
AM = 8 x cos 35° = 6.553
so AB = AM x 2 = 13.1
1b. Area of sector OAB / Area of the circle
= 130 / 360
Area of sector OAB = 8x8xpi x 130/360
= 23pi
1c. Area OAB = 2 X ( AM x OM) /2 = AM x OM
OM = AM x tan (angle a) = 13.1 x tan 25°
= 6.109
so Area OAB = 6.553 x 6.109 = 40.03
1d. Area of the minor segment
= Area of sector OAB - Area of triangle OAB
= 23pi - 40.03
= 32.23
2, 3 Please refering the approach as above to find the answers
4. Refer Fig 2 as attached
a = 3
the cord is 3 cm from the centre
5. Repeat the approach of 4 above please.
Help me, please :)
I need to find the value of x