Suppose the 100 people in society X all know the same 10 facts, while the 10 people in society Z specialize, with each person knowing 5 unique facts as well as 5 facts also known by the other 9 members of the society. If the standard of living is roughly equivalent to the average number of social facts known per person, which society has a higher standard of living
Answer:
29 times
Step-by-step explanation:
Given :
Society X ;
Population = 100
Number of facts known = 10
Average fact known per person = known fact / population = 10 / 100 = 0.1
Society X:
Population = 19
Common fact known by 9 = 5
Specialized fact, known by 10 = 5 * 10 = 50
Total facts = common + specialized = 55
Average fact known per person = 55 / 19 = 2.8947368 fact per person
Number of times society Z is better :
2.8947368 / 0.1 = 28.947 times
Approximately 29 times
please please help me!!
explaining your answer will get you brainliest.
A figure with an area of 84 square cm is dilated by a factor is 2. The area of the dilated figure is ___ square cm.
Answer:
336 cm²
Step-by-step explanation:
Given a dilatation by a factor of 2 then the area factor is 2² = 4
area of figure = 4 × 84 = 336 cm²
Please help !!!!!!!!
Answer:
C = (4,4)
It is (4,4) because it means that it is twice as large as the original coordinates.
Addison earned a score of 510 on Exam A that had a mean of 550 and a standard
deviation of 40. She is about to take Exam B that has a mean of 26 and a standard
deviation of 5. How well must Addison score on Exam B in order to do equivalently
well as she did on Exam A? Assume that scores on each exam are normally
distributed.
Answer:
21
Step-by-step explanation:
Algebraic Method: Find Z-Score for Exam A
[tex]z=\frac{x_A-μ_A}{σ_A}[/tex]
[tex]z=\frac{510-550}{40}[/tex]
[tex]z=\frac{-40}{40}[/tex]
[tex]z=-1[/tex]
Addison scored 1 standard deviation below the mean.
Plug Z into formula for Exam B:
[tex]-1\frac{x_B-26}{5}[/tex]
[tex]-5=x_B-26[/tex]
[tex]21=x_B[/tex]
Addison would have to score 21 on Exam B
please help! will rank brainliest
Answer:
98 degrees
Step-by-step explanation:
We know that H is the same as G because the sides are marked equal.
41 + 41 = 82
In a triangle the measure of degrees in total is 180.
180 - 82 = 98
One day, a café sells 3 more than twice the number of cappuccinos as they do lattes. They sold a total of 33 cappuccinos and lattes
together.
Which equation could be used to find the number of lattes, x, sold at the café?
Answer:
x +(2x + 3) = 33
Step-by-step explanation:
two equations can be derived from the question
c = 3 + 2x equation 1
c + x = 33 equation 2
where :
c = cappuccinos
x = lattes
make c the subject of the formula in equation 2
c = 33 - x equation 3
equate 3 and 1
x +(2x + 3) = 33
Which choice is equivalent to the fraction below when x >= 2
B. [tex]2( \sqrt{x} + \sqrt{x - 2} )[/tex] ✅
Step-by-step explanation:
[tex] \frac{4}{ \sqrt{x} - \sqrt{x - 2} } \\\\ = \frac{4}{ \sqrt{x} - \sqrt{x - 2} } \times \frac{ \sqrt{x} + \sqrt{x - 2} }{ \sqrt{x} + \sqrt{x - 2} } \\ \\ = \frac{4( \sqrt{x}) + 4( \sqrt{x - 2} )}{( { \sqrt{x} )}^{2} - { (\sqrt{x - 2} })^{2} } \\ \\ [∵(a + b)(a - b) = {a}^{2} - {b}^{2} ] \\ \\ = \frac{4 \sqrt{x} + 4 \sqrt{x - 2} }{x - (x - 2)} \\ \\ = \frac{4 \sqrt{x} + 4 \sqrt{x - 2} }{x - x + 2} \\ \\ = \frac{4( \sqrt{x} + \sqrt{x - 2} ) }{ 2} \\ \\= 2( \sqrt{x} + \sqrt{x - 2} )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.
Answer:
false negatives - 2%
false positives - 3%
Step-by-step explanation:
Here is the complete question :
A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.
% of results will be false negatives, and % of results will be false positives.
False negative means a negative result which in actuality it is positive
False negative = 100% - percent of positive result
100% - 98% = 2%
False positive result means a positive result which in actuality is negative
False positive = 100% - percent of false positive
100 - 97 = 3%
Which of the following is equal to the rational expression below when x doesn't equal 2 or 9?
4(x-2)/(x-2)(x-9)
Answer:
D. 4 / ( x - 9 )
Step-by-step explanation:
4 ( x - 2 ) / ( x - 2 ) ( x - 9)
= 4 / ( x - 9 )
[tex]what is the value of three[/tex]
Step-by-step explanation:
the value of three is three(3)
Help meeeeeeeeeeeeeee please
Answer:
[tex]6^{-5}[/tex]
Step-by-step explanation:
lmk if its right :)
Suppose that there are 20 numbers in a data set and that they are all different. a. How many of the values in this data set are between the first quartile and the third quartile?
Step-by-step explanation:
6duryrvrurbryebeirvbrudgdhd7rhdudhsydydhd
The table represents a linear function
What is the slope of the function?
х
0-6
-2
-1
0
1
2
y
8
2.
-4
10
16
&
6
The slope of the function showing by table is,
⇒ m = - 6
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The table represents a linear function.
Let Two points on the line are (- 2, 8) and (- 1, 2).
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 8) / (-1 - (-2))
m = - 6 / 1
m = - 6
Thus, The slope of the function showing by table is,
⇒ m = - 6
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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Which expression is equal to 2 x 7 x 6?
(2 x 7) + (2 x 6)
7 x 2 x 6
(2 + 7) x (2+6)
7+2 +6
Doe-
Answer:
84
Step-by-step explanation:
An automobile factory wants to produce a total of 210 cars during three shifts. If the first shift produces two-fifths of the cars and the second shift produce one-third of the cars, what fraction of the total cars does the third shift need to produce?
Answer:
Step-by-step explanation:
answer below
Answer: 4/15
Step-by-step explanation: Total Cars to be produced in three Shifts = 210
Fraction of total cars to be produced in First Shift = 2/5
Fraction of total cars to be produced in second Shift = 1/3
Summation of all the fractions of total cars to be produced in all the three shifts should be equal to 1
Hence, fraction of total cars to be produced in third Shift = 1- (2/5) - (1/3)
= ( 15 - 6 - 5)/15 ( taking LCM of 5&3)
= 4/15
The area of a trapezium is 147cm of the parallel sides and 5.3cm and 3.1cm long. Find the perpendicular distance between them.
Answer:
35 cm
Step-by-step explanation:
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices and edges
If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram
Area of a trapezoid = x (sum of the lengths of the parallel sides) x height
h = 147x2 / (5.3 + 3.1) = 35cm
Solve each triangle. Round your answers to the nearest tenth.
Answer: The value of [tex]\angle B[/tex] is [tex]30^o[/tex], the length of BC and AC is 28 units and 25 units respectively.
Step-by-step explanation:
To calculate the value of each part of the triangle, we use:
1) Angle sum property
2) Law of sines
Starting with 1:
Calculating [tex]\angle B[/tex] by angle sum property:
[tex]\angle A+\angle B+\angle C=180^o\\\\34^o+\angle B+116^o=180^o\\\\\angle B=(180^o-116^o-34^o)=30^o[/tex]
Applying 2:
The Law of sines relates the length of the side with the sines of the angle opposite to it.
[tex]\frac{\sin 34^o}{BC}=\frac{\sin 116^o}{45}\\\\BC=\frac{\sin 34^o\times 45}{\sin 116^o}\\\\BC=28units[/tex]
Similarly,
[tex]\frac{\sin 30^o}{AC}=\frac{\sin 116^o}{45}\\\\AC=\frac{\sin 30^o\times 45}{\sin 116^o}\\\\AC=25units[/tex]
Hence, the value of [tex]\angle B[/tex] is [tex]30^o[/tex], the length of BC and AC is 28 units and 25 units respectively.
What does intercept mean in the expression slope-intercept form?What does intercept mean in the expression slope-intercept form?
Answer:
The intercept is the coordinate by which a line crosses the x or y-axis. in the slop-intercept form, the intercept is for the y-axis and is included at the end of the formula as 'b,' bound by either adding or subtracting. Ex. y= 2x+6. y-intercept=6
-40 divided by what makes -4
Answer:
10
Step-by-step explanation:
<3
company paid $48 for 2 cases of printer paper. Each case contained 12 packages of paper. Next month the company’s office manager needs to order 180 packages of the same paper. If the price per package does not change, what would be the total c
Answer:
the answer would be 384 dollars
I need answer for number 8 please no links and the right answer thank youuu
Answer:
y = 2/5x - 4
Step-by-step explanation:
y = mx+b where m is the slope and b is the y intercept
y = 2/5x - 4
Analyze the rational function: f(x) = (x^2 - 4)/(x^3 - 3x^2 - 10x)
Answer:
The function [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] has a zero: [tex]x = 2[/tex], and two poles: [tex]x = 0[/tex] and [tex]x = 5[/tex].
Step-by-step explanation:
Let be [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] a rational function armed with polynomial function. We proceed to factor the expression to the find the zeros and poles of the rational function:
1) [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] Given
2) [tex]f(x) = \frac{(x + 2)\cdot (x-2)}{x\cdot (x^{2}-3\cdot x -10)}[/tex] [tex]a^{2} - b^{2} = (a + b)\cdot (a - b)[/tex]/Associative, commutative and distributive properties.
3) [tex]f(x) = \frac{(x+2)\cdot (x-2)}{x\cdot (x-5)\cdot (x+2)}[/tex] [tex]x^{2} -(a+b)\cdot x + a\cdot b = (x-a)\cdot (x-b)[/tex]
4) [tex]f(x) = \frac{x-2}{x\cdot (x-5)}[/tex] Commutative property/Existence of multiplicative inverse/Modulative property/Result
The function [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] has a zero: [tex]x = 2[/tex], and two poles: [tex]x = 0[/tex] and [tex]x = 5[/tex].
I really need help if any one knows geometry please try and help and answer these few questions
Thank you!
Answer:
x=12, 11
1. Which events below are dependent?
A. rolling a 6 on a die three times in a row
B. tossing a coin twice and it lands heads once
C. winning two consecutive games of bingo
D. randomly choosing a class president and vice-president
Answer:B
Step-by-step explanation:
If p q is true and q is true, then p is ___ true. Answer choices are always, never, sometimes
Answer:
sometimes
Step-by-step explanation:
Brainliest goes to whoever answers correctly I have other questions if you want more points
Answer:
a. $1.50 per pound of weight.
b. C
Step-by-step explanation:
a. explanation:
1. pounds is increasing by +4 and dollars are increasing by +6.00
2. as a fraction it is 6/4.
3. simplified is 1 1/2 or 1.50
b. explanation
1. we know that the slope (or rate of change) is $1.50 /per pound of weight.
2. 4 - 4 = 0; $11.00 - 6.00 = $5.00
3. 0, $5.00
4. The y-int. is $5.00
5. answer is C
What is the value of x?
Answer:
67.5
Step-by-step explanation:
The sum of the interior angles is 540, therefore
540 = 90 + 4y
540 - 90 = 4y
450 = 4y
450 / 4 = y
112.5 = y
X and Y together equal 180, therefore
180 = x + 112.5
180 - 112.5 = x
67.5 = x
REALLY IMPORTANT
•
no files or i’ll report your answer
Answer:
c
Step-by-step explanation:
This is a parabola, so it is a quadratic parent function.
Pls I need this I will give brainly if u help me
[tex]4( \frac{1}{5} x + 7) = 2x - 2[/tex]
[tex]x = 25[/tex]
Please help me solve my problem!!!
Answer:
B. sometimes
Step-by-step explanation:
Consecutive angles of a parallelogram are same side interior angles of two parallel lines cut by a transversal, so they are always supplementary.
Supplementary angles are two angles whose measures add to 180 deg.
If two angles are supplementary and one angle measures 90, then the other angle also measures 90 deg, and the two angles are congruent. If one angle measures less than 90 deg, then the other measure more than 90 deg and are not congruent. Therefore, these angles may or may not be congruent.
Answer: sometimes