Below is the normal distribution curve for height (inches) of NBA basketball players.
If there are 4500 NBA players, approximately how many of them are taller than 91 inches?(Round to nearest whole number)
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Explanation:
mu = 75 = mean, since it's at the centersigma = 8 = standard deviation (each gap between the tickmarks is 8 units wide)From the given info, we see that 91 is two standard deviations above the mean. The diagram shows 91 is two tickmarks to the right of center. Or we could note that z = (x-mu)/sigma = (91-75)/8 = 2.
Roughly 95% of the normal distribution is within 2 standard deviations of the mean. I'm using the Empirical Rule.
So about 95% of the population is between 59 and 91 inches tall. That leaves 5% of the population in both tails combined. Cut this in half to get 2.5%
We have 2.5% of the population taller than 91 inches
2.5% of 4500 = 0.025*4500 = 112.5 = 113
Roughly 113 people are taller than 91 inches
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Side notes:
The answer is approximate because the Empirical Rule is just a rough approximation of percentages; also, I rounded 112.5 to 113 (it makes no sense to have half a person).59 inches = 4 ft, 11 in75 inches = 6 ft, 3 in91 inches = 7 ft, 7 inRoughly 95% of the population of NBA players is between 4 ft, 11 in and 7 ft, 7 in, according to this data set.francis has 6 chocolate bars. he give one to john and one to chester. he keeps the rest. for himself. what friction of the chocolate. bars did he give away?
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.....
4/6Hope it helps!
Brainliest pls!
Follow me! :)
is this function quadratic?
y+6x=14
hapter 9: Chapter 9 What You Le
Write in slope-intercept form an equation of the line that passes through the given points
(6,8), (3,-9)
I can’t figure out the red part please help much appreciated
Answer:
Step-by-step explanation:
(23,0)
23 computers
the they make 0 dollars
You were making $15 an hour and are now making $18 an hour. What is the percent of change in your hourly wage? This is a 2 part question. The first part you will tell the percent of change "Without the % sign included in your answer" the second part you will determine if it is a "Increase or Decrease"
Angle a and angle b are supplemetary angles. If m angle a = (5x+25) and m angle b = (x+17) then find the measure of angle a
Answer:
The measure of angle a is of 140º.
Step-by-step explanation:
Supplementary angles:
If two angles are supplementary, their measures add to 180º.
Angle a and angle b are supplemetary angles.
This means that
<a + <b = 180º.
m angle a = (5x+25) and m angle b = (x+17)
So
[tex]5x + 25 + x + 17 = 180[/tex]
[tex]6x + 42 = 180[/tex]
[tex]6x = 138[/tex]
[tex]x = \frac{138}{6}[/tex]
[tex]x = 23[/tex]
Measure of angle a:
[tex]<a = 5x + 25 = 5(23) + 25 = 140[/tex]
The measure of angle a is of 140º.
What polygon is shown below?
octagon
decagon
dodecagon
hexagon
Answer:
octagon
Step-by-step explanation:
there is 8 sides in total :)
How do i do this, and please step by step i will give brainliest
Answer:
-50 N
Step-by-step explanation:
125 - 75 = 50
left = negative
right = positive
The ball is going to be kicked to the left because the net force on the right is larger, and as you can see above, left = negative and right = positive. So the answer would be -50 N
Please help me I will give branliest!!! Find the indicated trig ratio and write your answer as a simplified fraction. Image attached
From SOHCAHTOA
Sin0=Opp/HYP
Sin0 = 9/15
Step-by-step explanation:
sinβ=p/h
sinβ=12/15
sinβ=4/5
A function is given by f(x) =
[tex] \sqrt[4]{x} [/tex]
Evaluate f'(16).
Answer:
[tex]\displaystyle f'(16) = \frac{1}{32}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
[tex]\displaystyle f(x) = \sqrt[4]{x}[/tex]
f'(16) is x = 16 for the derivative f'(x)
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle f(x) = x^{\frac{1}{4}}[/tex]Basic Power Rule: [tex]\displaystyle f'(x) = \frac{1}{4}x^{\frac{1}{4} - 1}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{1}{4}x^{\frac{-3}{4}}[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle f'(x) = \frac{1}{4x^{\frac{3}{4}}}[/tex]Step 3: Solve
Substitute in x [Derivative]: [tex]\displaystyle f'(16) = \frac{1}{4(16)^{\frac{3}{4}}}[/tex]Evaluate exponents: [tex]\displaystyle f'(16) = \frac{1}{4(8)}[/tex]Multiply: [tex]\displaystyle f'(16) = \frac{1}{32}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Factorize the algebraic expression:
10y²+13y-3
Help out please and thank you
Answer:
[tex]y=-\frac{2}{3}x[/tex]
Step-by-step explanation:
Equation: y=mx+b
we know the slope (m) and so we can write
(-2/3)x+b=y
we need to solve for b
to do this plug in 6 for x and -4 for y
(-2/3)(6)+b= -4
-4+b= -4
b=0
therefore the final answer is just
(-2/3)x
Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points. What is the expected value of drawing a card in this game on the first turn?
A. 3.7 points B. 6 points C. 6.3 points D. 9.5 points
Answer:
Expected value of drawing a card in this game on the first turn = 6
Step-by-step explanation:
Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.
To find - What is the expected value of drawing a card in this game on the first turn?
Formula used -
Expected value, E[x] = ∑ x p(x)
where p(x) is the probability
Proof -
Total cards in a standard deck = 52
Total face cards = 12 (a jack, a queen, or a king)
Other cards = 40
Now,
Probability of getting a face card = [tex]\frac{12}{52}[/tex]
Probability of getting a other card = [tex]\frac{40}{52}[/tex]
So,
Expected value, E[x] = ∑ x p(x)
= (16)([tex]\frac{12}{52}[/tex]) + (3)([tex]\frac{40}{52}[/tex])
= [tex]\frac{192}{52} + \frac{120}{52}[/tex]
= [tex]\frac{312}{52}[/tex]
= 6
∴ we get
Expected value of drawing a card in this game on the first turn = 6
So,
The correct option is - B. 6 points
Find the perimeter of the triangle in terms of b.
I’m marking branliest
Answer:
7b - 2 = 6b
3b + 7 = 10b
6b + 6b + 10b +10b
12b + 20b
34b
Help me and show your work.
Answer:
Infinite solutions
Step-by-step explanation:
Equation 1:
4x-6y=4
3(4x-6y=4)
12x-18y=12
Equation 2
(12x-18y=12)/3
4x-6y=4
They are the same equation, therefore, there are infinite solutions
Amanda found the equation 10x+5y=20 in the “linear equations” chapter of her math book.
All possibilities were discussed in order to write the required linear equation.
The given linear equation is:
[tex]10x+5y=20[/tex]
What is a linear equation?An equation of the form ax+by+c=0 is called a linear equation where a, b, c∈R
For a unique solution, we need an equation ax+by+c=0 such that
[tex]\frac{10}{a} \neq \frac{5}{b}[/tex]
For infinitely many solutions, we need an equation ax+by+c=0 such that
[tex]\frac{10}{a} =\frac{5}{b} =\frac{-20}{c}[/tex]
Hence, all possibilities were discussed in order to write the required linear equation.
To get more about linear equations visit:
https://brainly.com/question/14323743
Questions 7,11,12,14,15and 16 please thanks
№7
[tex]4(5y - 2) = 52\\4*5*y - 4 * 2 = 52\\20y - 8 = 52\\20 y = 52 + 8\\20y = 60\\y = 60 : 20\\y = 3[/tex]
№11
[tex]2x + 17 = 5x - 4\\17 + 4 = 5x - 2x\\21 = 3x\\x = 21 : 3\\x = 7[/tex]
№12
[tex]2x + 7 = 16 - 4x\\2x + 4x = 16 - 7\\6x = 9\\x = 9 : 6\\x = \frac{3}{2}\\x = 1,5[/tex]
№14
[tex]4(2y + 1) = 2 (12 - y)\\4*2*y + 4 * 1 = 2 * 12 - 2 * y\\8y + 4 = 24 - 2y\\8y + 2y = 24 - 4\\10y = 20\\y = 20 : 10\\y = 2[/tex]
№15
[tex]7 - 3x = 2(x + 1)\\7 - 3x = 2x + 2\\7 - 2 = 2x + 3x\\5 = 5x\\x = 5 : 5\\x = 1[/tex]
№16
[tex]\frac{x-3}{2} = 5\\x-3 = 5*2\\x - 3 = 10\\x = 10 + 3\\x = 13[/tex]
Someone pleaseee help I need help ASAP!!!!!! Pleaseee!!!
Answer:
its right because any object can be measure no matter how curve it is
Step-by-step explanation:
An example for my question before
Answer:
angle c is 82 degree because 82 degree and angle c are corresponding angles.
Step-by-step explanation:
note :corredponding angles are always equal.
the sum of co interior angle id 180 degree.alternate angle are equalthe sum of co exterior angle is 180 degreethe sum of alternate exterior angle is 180 degreeHow to do this please Explain Thank you
Answer:
x = 47
Step-by-step explanation:
There Are Many Methods In Which You Can Do It.
X = 47 ( Alternate Angles) //Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines.
Step-by-step explanation:
X=47due to alterNate anglr
Simplify the expression. Write your answer as a power.
Please help write a system of equations to represent the scenario
HELPPPPP!!!!!!!!! PLS ! HURRY
Answer:
-2 and 4
Step-by-step explanation:
The zeros of a function are when the function equals 0.
To make (x+2)(x-4) be zero, either the x+2 term or the x-4 term need to be equal to zero. Because any number multiplied by 0 is 0.
So, set x+2=0 solve for x=-2
Set x-4=0 solve for x=4
Answer my question about the photo
HELP ASAP! Will name brainliest.
Identify the transformed function that represents f(x) = ln x stretched vertically by a factor of 5, reflected across the x-axis, and shifted by 6 units left.
g(x) = −5ln (x − 6)
g(x) = −5ln (x + 6)
g(x) = 5ln (x − 6)
g(x) = 5ln (x + 6)
Answer:
g(x) = 5ln (x-6)
Step-by-step explanation:
For us to have a vertical stretch, we need to multiply the whole function by the factor of stretching
Say for example, we stretched f(x) by a factor of a , we have the result as a•f(x)
Now, when we shift by a certain number of units, this is particularly a translation
The kind we have here is a horizontal translation
So by shifting 6 units left, we have it that we need to subtract 6 units from the x-coordinate value
Thus, we have the resulting function as;
g(x) = 5ln (x-6)
Which value cannot represent the probability of an event occurring?
0.01
2
85
62.5%
1.1
Answer:
Your answer will be [tex]D/1.1[/tex].
Step-by-step explanation:
I did this on edge just a second ago and got it correct! Therefore, [tex]D/1.1[/tex] will be your final answer.
Mark me brainliest if you can when someone else answers. If not then it's alright! I'm happy that I helped you. Have a good day! :D
Answer:
1.1
Step-by-step explanation:
Find the function y = f(t) passing through the point (0, 18) with the given first derivative.
dy/dt = 1/8 t
y = ?
Answer:
[tex]\displaystyle y = \frac{t^2}{16} + 18[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
FunctionsFunction NotationCoordinates (x, y)Calculus
Derivatives
Derivative Notation
Antiderivatives - Integrals
Integration Constant C
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
Point (0, 18)
[tex]\displaystyle \frac{dy}{dt} = \frac{1}{8} t[/tex]
Step 2: Find General Solution
Use integration
[Derivative] Rewrite: [tex]\displaystyle dy = \frac{1}{8} t\ dt[/tex][Equality Property] Integrate both sides: [tex]\displaystyle \int dy = \int {\frac{1}{8} t} \, dt[/tex][Left Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle y = \int {\frac{1}{8} t} \, dt[/tex][Right Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle y = \frac{1}{8}\int {t} \, dt[/tex][Right Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle y = \frac{1}{8}(\frac{t^2}{2}) + C[/tex]Multiply: [tex]\displaystyle y = \frac{t^2}{16} + C[/tex]Step 3: Find Particular Solution
Substitute in point [Function]: [tex]\displaystyle 18 = \frac{0^2}{16} + C[/tex]Simplify: [tex]\displaystyle 18 = 0 + C[/tex]Add: [tex]\displaystyle 18 = C[/tex]Rewrite: [tex]\displaystyle C = 18[/tex]Substitute in C [Function]: [tex]\displaystyle y = \frac{t^2}{16} + 18[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
28.
If 30% of a number is 15, what is the number?
No links!!
I will report if say something wrong.
Will give brainlest
Answer:
50
Step-by-step explanation:
30% * n = 15
Change to decimal form
.30 *n = 15
Divide each side by .30
.30n/.30 = 15/.30
n =50
The number is 50
Find the value of x in the figure and choose the correct result,