Answer: 2nd one
Step-by-step explanation:
Brian's math test scores are: 86, 90, 93, 85, 79, 92. What is the mean and median?
Answer:
Median: 89
Mean: 87.5
Step-by-step explanation:
86, 90, 93, 85, 79, 92
93, 85
93 + 85
178
178/2
89
86 + 90 + 93 + 85 + 79 + 92
525
525/6
87.5
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
Find the value of x in the figure and choose the correct result,
How 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
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
Solve 2
Any links, fake answers for points will be reported.
Leona gets paid $10.00 every 3 bracelets she sells. Which graph below shows a relationship with the same unit rate?
Answer:
D.
Step-by-step explanation:
Table of values:
X Y
3 10
6 20
9 30
is this function quadratic?
y+6x=14
*PLEASE HELP MEEEEEE* You throw a dart at the board shown. Your dart is equally likely to hit any point inside the square board. What is the probability that you score 8 points? Round your answer to the nearest hundredth of a percent.
Answer:
19.63%
Step-by-step explanation:
The probability of scoring 8 points is the probability of getting a dart into the green circle.
That probability is equivalent to the area of the circle divided by the total area of the square board.
The area of the circle according to [tex]A=\pi*r^2[/tex], is [tex]25\pi[/tex] cm squared
The area of the whole square board is one side squared: 20 squared = 400 cm squared
The probability is therefore equal to [tex]25\pi/400 = \pi/16=0.19634=19.63%[/tex]%
A cashier of a certain company is paid Php 550 per day for an 8-hour shift. Each
extra hour is paid Php 80. To compute for the cashier’s salary for the week with
6 extra hours, the manager uses the expression
+
Where x= the number of days worked in a week (5days)
y= the numbers of extra hours ( 6 hours)
How much is the cashier’s salary for the week?
Answer:
Php 3,230
Step-by-step explanation:
1. calculate x= the number of days worked in a week (5days)
which is,
x= 5 (no of days) x 550 ( total amount of Php received in a day)
x= Php 2,750
2. calculate y= the number of extra hours ( 6 hours )
which is,
y= 6 ( total number of extra hours ) x 80 ( because extra hours is paid at the amount of Php 80 )
y= Php 480
3. Add x and y to get the final answer
which is,
Php 2,750 + Php 480 = Php 3,230
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"
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
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:
NEED HELP ASAP!!! MARK BRAINLLEST IF ITS CORRECT
NO LINKS!!!!!!!!!!!!
-177147x^28
Hope this helps lol
Please help with this im desperate (that prolly made me sound bad)
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! :)
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)
Hillary made 484848 chocolate chip cookies and yyy sugar cookies. How many total cookies did Hillary make?
Answer:
Total cookies (including all types) made by Hilary = 48 + Y
Step-by-step explanation:
Total chocolate chip cookies made by Hillary = 48
Total sugar cookies made by Hillary = Y
Total cookies (including all types) made by Hilary = Total chocolate chip cookies + Total sugar cookies
Substituting the given values, we get -
Total cookies (including all types) made by Hilary = 48 + Y
Answer:
48+y
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 degreefind the quotient below. Write the answer as a fraction in simplest form 2/5 divided by 1 7/8
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
Help??will mark brainlest
Answer:
c d a d
Step-by-step explanation:
i got it correct
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
I need help pleaseee
Answer:
[tex]x = 6.25[/tex]
Step-by-step explanation:
Since the quadralterials are similar and the perimeter has a ratio of 12:5 the sides also have a ratio of 12:5.
Set up the proportion.
[tex] \frac{12}{5} = \frac{15}{x} [/tex]
[tex]12x = 75[/tex]
[tex]x = 6.25[/tex]
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
Determine Rolanda’s best loan option in the following scenario using the exponential growth equation.
Situation: Rolanda is buying a $15,000 car and is trying to figure out which is the better financing option. She can get a five-year loan at 4.65 percent or a seven-year loan at 4.25 percent.
Answer:
5 year
Step-by-step explanation:
equations are 15000(.9535)^5 for the 5 year at 4.65
15000(.9575)^7 for the 7 year at 4.25
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)
==================================================
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
----------
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.Help me please and thank you
Answer:
use formula
area =1/4*π*d^2
81π=1/4*π*d^2(here two pie gets cancel)
81=1/4*d^2
81*4=d^2
[tex]\sqrt{324}[/tex]=d
18=d
Step-by-step explanation:
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:
Which equation represents the vertical line passing through (1,-9)?
A.
x = -9
B.
x = 1
C.
y = -9
D.
y = 1
Answer:
B. x=1
Step-by-step explanation: