A. Independent variable: number of rubber stamps n sold. Dependent variable: F(n), the total sales.
B. Only whole numbers. It is impossible to have negative and/or fractional stamps.
C. F(n) = $4.95n, which is 4.95 times n.
So, plugin 5 for n
[tex]f(5)= \$4.95(5)[/tex]
F(n) = $24.75
IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160.
a) What is the difference between Einstein's IQ and the mean?
b) How many standard deviations is that?
c) Convert Einstein's IQ score to a Z-score
d) If we consider "usual IQ scores to be those that convert z-scores between -2 and 2, is Einstein's IQ usual or unusual?
Answer:
A) 60
B) Between 3 and 4
C) [tex] \frac{160 - 60}{16} [/tex]
D) Extremely unusual.
The difference between Einstein's IQ and the mean is 60. There are standard deviations between 3 and 4. Einstein's IQ score to a Z-score is 9.375. If we consider usual IQ scores to be those that convert z-scores between -2 and 2, is extremely unusual.
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160.
The difference between Einstein's IQ and the mean :
⇒ 160 - 100 = 60
There are standard deviations between 3 and 4.
Einstein's IQ score to a Z-score:
Here,
ц = 160
σ = 16
X = 100
⇒ z-score = (X-ц )/σ
Substitute the values,
⇒ z-score = (160- 10)/16
⇒ z-score = 150/16
⇒ z-score = 9.375
If we consider usual IQ scores to be those that convert z-scores between -2 and 2, is extremely unusual.
Learn more about the z-score here:
brainly.com/question/13793746
#SPJ2
A piece of fabric 78.25cm long was cut from a 200cm long piece to make a shirt. What percent of the fabric was left behind?
Answer:
39.125 %
Step-by-step explanation:
you use the cross multiplication method:
200cm = 100%
78.25 = ???
78.25 × 100
——————— = 39.125%
200
if you are willing to check your answer:
39.125 × 200
———————–— = 78.25 cm
100
I HOPE THIS WOULD HELP!
Charlie is flying a kite one afternoon and steps on the end of the string to have his
hands free to take a picture. The string is 135 feet long and forms a 68-degree angle
with the ground. How high is his kite at this time? Round to the nearest foot and
enter the number only.
I need the answer quick please!
Answer:
125.1698 Ft
Step-by-step explanation:
How do you do 10 th grade math
find the area of the largest square that can be cut from a circle of radius 18
Answer:
approx 161.3 square units
Step-by-step explanation:
the circle can contain 4 isosceles triangles with legs equal to 9 and hypotenuse equal to approximately 12.7
these four triangles would produce a square with sides of 12.7 units
so area would be 12.7² or approx 161.3 square units
A snail moves through a garden and travles 1 1/8 meters in 1 1/2 minutes. What is the snail's rate in minutes per meter? Show your work
Answer:
4/3mpm
Step-by-step explanation:
(1 1/2)/(1 1/8)
convert to improper fraction
(3/2)/(9/8)
solve
1/(3/4)
4/3
Pls help with this question!!!!
There are 75 dimes in the box. This is because all of the pennies, nickels and quarters is 14.20$. So subtracting the full total 21.70 bu 14.20 gives us 7.50$. Which is 75 dimes.
which table represents a linear function?
Answer:
the first
Step-by-step explanation:
How many prime numbers are there between 50
and 75?
Answer:
All the prime numbers between 50 and 75 are 53, 59, 61, 67, 71 and 73.
Step-by-step explanation:
Answer:
51 53 57 59 61 69 71 73 these are the prime numbers
PLZZZ I need help on this. I have to answer it in less than 10 minutes. I have short term memory loss and forgot everything I learned on this subject
Answer:the question is not there
Step-by-step explanation:
Find y. Simplify completely.
y
16
25
y = [?]VO
=
Enter the number that belongs in the green box,
Enter
Answer:
19?
Step-by-step explanation:
SOMEONE PLEASE HELP IM SO CONFUSED…. QUESTION- Find A and B
Answer:
hi
Step-by-step explanation:
what you want to know about this
Answer:
the answer is c dont have much time to explain
find the scale of each map: an actual distance of 50 km corresponds to 4 cm on the map.
Answer:
1 cm: 12.5 km
Step-by-step explanation:
Okay just find what the length of one cm equates to so
4/4=1
50/4=12.5
it's like making a unit measurement but yknow its scaling
so one cm (one unit in a way) equals 12.5 km.
3 out of 20 apples are bad what percentage are bad
Answer:
15% or 0.15
Step-by-step explanation:
3/20 = 0.15
help will reward brainly
Answer: Positive but I might be wrong I haven't done slopes in a while
Step-by-step explanation:
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3 - I.
f(x)=
Answer:
f(x) = x³ - 6x² + 5x + 12Step-by-step explanation:
Given polynomial function f(x) with:
a = 1, r₁ = 4, r₂ = 3, r₃ = -1With the least degree it is:
f(x) = 1*(x - 4)(x - 3)(x - (-1)) = (x² - 7x + 12)(x + 1) = x³ - 6x² + 5x + 12Which is the correct quotient with a letter as the remainder?
Answer:
A
Step-by-step explanation:
876 divided by 43 = 20
and the remainder is 16
in the case of other options, the quotients are correct but the remainders are wrong.
Therefore, A is the option with both correct quotient and remainder.
The perimeter of rectangle is 100m. If the length is decreased by 2m and the breadth is increased by 3m, The area increases by 44m². Find the length and breadth of rectangle?
length=22m
breadth=14.67
Gavin has 50 tokens and continues to ride the roller coaster 3 times every hour (the roller costar costs 6 tokens to ride). Gibson has 12 tokens and finds 2 more tokens on the ground each hour. How long until they have the same number of tokens?
Answer:
have a good day
Step-by-step explanation:
shape it helps Bye
Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)
Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)
Part C: Explain how the equations from Part A and Part B differ. (2 points)
Answer: 250=70x+50 For A
Step-by-step explanation:
Answer:
Part A 70x+50=250
Part B(75x + 35) = 250 - 5x
Step-by-step explanation:
Terry lost 4 pounds over the summer this is for more than half the weight she wanted to lose by December how much does Terry want to lose
Answer:
7 pounds?
Step-by-step explanation:
which points of concurrency are always inside the triangle?
Answer: The centroid is the point of concurrency of the three medians in a triangle. It is the center of mass (center of gravity) and therefore is always located within the triangle.
Perpendicular bisectors: acute/right/obtuse …… ...
Construction: Location of Point of Concurrency
Explanation: The point of concurrency is the point where three or more lines, segments, or rays intersect forming a point. Out of the four namely the Centroid, Incenter, Circumcenter, and Orthocenter, only the Centroid and Incenter is always located inside the triangle.
Centroid: where the medians intersect.
Incenter: where the angle bisectors intersect.
Step-by-step explanation. Hope this helps lol!
In order to select new board members, the French club held an election. 70% of the 90 members of the club voted. How many members voted?
Answer:
63 members.
Step-by-step explanation:
70% of the votes means that every 100 people, 70 went to cast their ballot, or 7 every 10. Now in the club there are 9 groups of 10 people, so 9x7 = 63 people
Q.no 21 solve it.
Plz. Plz
Answer:
Hamm i don't know sorry a want yo help You Buy a can't because a don't know sorry
Someone please help me with this cuz I didn't attend the class and didn't hear the teacher explain.
Answer:
-2x^2-2x-2
Step-by-step explanation:
C) -2x(x+2)-(3-2x)(x+2)
-2x^2-3x+2x-x-2
-2x^2-2x-2
Answer:
−3x−6
Step-by-step explanation:
-2x(x+2)-(3-2x)(x+2)
= -2[tex]x^{2}[/tex]-4x-3(x+2)+2x(x+2)
= -2[tex]x^{2}[/tex]-4x-3x-6+2[tex]x^{2}[/tex]+4x
= -3x-6
Hopefully this helps!!
This table shows the input and output values for a linear function f(x).
What is the difference of outputs for any two inputs that are one value apart?
A. -5
B. 1
C. 21.2
D. 27.2
Answer:
C
Step-by-step explanation:
The question wants you to calculate f(n)-f(n-1) using the data in the table. This could be done on any of the pairs, but I chose f(0)-f(-1) = 6 - (-15.2) = 21.2, giving us C as the final answer.
PLEASE HELP! Identify the quadrants and the ordered pair for each given points in the rectangular plane.
Answer:
Step-by-step explanation:
A (0,8) Q = IB (-1, -7) Q = III C (-2, 1) Q = IID (4, -3) Q = IVE (5,3) Q = II'll mark u as brainliest pls help with these 2 questions
Answer:
3, 10
Step-by-step explanation:
1.
5x-1=14 ->
5x=15 ->
x=3.
2.
15+3x=45 ->
3x=45-15=30 ->
3x=30 ->
x=10.
Hope that help! :)
Answer:
1.) x=3
2.)x=10
Step-by-step explanation:
for the first problem you would add 1 to both sides, and you would get 5x=15, then you would divide both sides by by 5 to get x by itself. 5x/5=x and 15/5=3, so x=3. you can also plug it in. 5(3)-1=14
for the second one you wpuld subtract 15 from both sides, and you would get 3x=30. divide both sides by 3 which is x=10. plug it in, 15+3(10)=45.
Solve for x
9(x + 5) = -9
Answer:
x = -6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
9(x+5)=−9
(9)(x)+(9)(5)=−9(Distribute)
Step 2: Subtract 45 from both sides.
Step 3: Divide both sides by 9.
Hello there! :)
9(x+5)=-9
Use the Distributive Property:
9(x+5)=-9
9x+45=-9
9x=-9-45
9x=-54
Divide both sides by 9:
x=-6
Hope it helps you! :) Feel free to ask me if you have any questions.
~A smiley teen who adores helping others
[tex]MagicalNature[/tex]
What function represents the next graph?
Answer:
Option 1: y = (x - 2)² + 2
Step-by-step explanation:
Given the vertex, (2, 2), of an upward-facing parabola, and using the y-intercept of the graph, (0, 6):
Definitions:The vertex form of the quadratic equations is:
y = a(x - h)² + k
where:
(h, k) is the vertex.
The value of h represents the horizontal translation of the graph. h > 0 represents the horizontal shift of the graph h units to the right. h < 0 shifts the graph |h | units to the left. The value of k represents the vertical translation of the graph. k > 0 shifts the graph k units upward. k < 0 shifts the graph |k | units down.The sign of a determines the direction of the graph's opening. The value of a also determines the vertical stretch or shrink of the graph.
If a is positive (or a > 1), then the graph opens upward. The value of a > 1 also represents the vertical stretch of the graph. If a is negative (or a < 0), then the graph opens down.The value of 0 < a < 1 represents the vertical shrink or compression of the graph. Solution:Substitute the values of the vertex (2, 2) and the y-intercept, (0, 6) into the vertex form to solve for the value of the coefficient, a:
y = a(x - h)² + k
6 = a(0 - 2)² + 2
6 = a(-2)² + 2
6 = 4a + 2
Subtract 2 from both sides
6 - 2 = 4a + 2 - 2
4 = 4a
Divide both sides by 4 to solve for a :
[tex]\displaytext\mathsf{\frac{4}{4} \:=\frac{4a}{4}}[/tex]
a = 1
Quadratic Equation in Vertex Form:Therefore, given the vertex, (2, 2) and a = 1, the quadratic equation in vertex form is: y = (x - 2)² + 2, thereby matching Option 1.