9514 1404 393
Answer:
D. $584.43
Step-by-step explanation:
Using the given formula with the given values, we find ...
A(17) = 150·e^(0.08·17) = 584.43
An 8 foot square floor is to be covered with square tiles measuring 8 inches on each side. If each tile costs 50 cents, how much will it cost to tile the floor?
a) $32 dollars
b) $64 dollars
c) $72 dollars
d) $96 dollars
9514 1404 393
Answer:
(c) $72
Step-by-step explanation:
Each tile is 8/12 ft = 2/3 ft on a side. Then 8/(2/3) = 12 tiles will fit along each edge of the square area to be tiled. That is ...
12 × 12 = 144
tiles will be needed to cover the area.
The cost of 144 tiles at $0.50 each is ...
(144)($0.50) = $72.00
I need help on this please
Answer:
See answers below
Step-by-step explanation:
From the given functions, the equivalent function for when x = 0 is -(x-1)²
h(x) = -(x-1)²
h(0) = -(0-1)²
h(0)= -(-1)²
h(0) = -1
when x = 2, the equivalent function is -1/2x - 1
h(x) = -1/2x - 1
h(2) = -1/2(2) - 1
h(2) = -1-1
h(2) = -2
when x = 5, the equivalent function is -1/2x - 1
h(x) = -1/2x - 1
h(5) = -1/2(5) - 1
h(5) = -5/2-1
h(5) = -7/2
Let $f$ be a linear function for which $f(6)-f(2)=12$. What is $f(12)-f(2)?$ Please explain how you found your answer. Thank you!
========================================================
Explanation:
Since f(x) is linear, this means f(x) = mx+b
m = slopeb = y interceptLet's plug in x = 6
[tex]f(x) = mx+b\\f(6) = m*6+b\\f(6) = 6m+b[/tex]
Repeat for x = 2
[tex]f(x) = mx+b\\f(2) = m*2+b\\f(2) = 2m+b[/tex]
Now subtract the two function outputs
[tex]f(6)-f(2) = (6m+b)-(2m+b)\\f(6)-f(2) = 6m+b-2m-b\\f(6)-f(2) = 4m\\[/tex]
The b terms cancel out which is very handy.
Set this equal to 12, since f(6)-f(2) = 12, and solve for m
[tex]f(6)-f(2) = 12\\4m = 12\\m = 12/4\\m = 3\\[/tex]
So the slope of f(x) is m = 3
-------------------------------------------------------------------------
Next, plug in x = 12
[tex]f(x) = mx+b\\f(12) = m*12+b\\f(12) = 12m+b[/tex]
We can then say:
[tex]f(12)-f(2) = (12m+b)-(2m+b)\\f(12)-f(2) = 12m+b-2m-b\\f(12)-f(2) = 10m\\[/tex]
Lastly, we plug in m = 3
[tex]f(12)-f(2) = 10m\\f(12)-f(2) = 10*3\\f(12)-f(2) = 30\\[/tex]
f a sampling distribution is created using samples of the amounts of weight lost by 51 people on this diet, what would be the standard deviation of the sampling distribution of sample means
This question is incomplete, the complete question is;
A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 24.6 pounds and a standard deviation of 8.0 pounds.
Step 2 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 51 people on this diet, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answer:
the standard deviation of the sampling distribution of sample means is 1.12
Step-by-step explanation:
Given the data in the question,
population mean; μ = 24.6 pounds
Population standard deviation; σ = 8.0 pounds
sample size; n = 51
Now determine the standard deviation of the sampling distribution of sample means.
standard deviation of the sampling distribution of sample means is simply
⇒ population standard deviation / √sample size
= 8.0 / √51
= 8.0 / 7.141428
= 1.120224 ≈ 1.12
Therefore, the standard deviation of the sampling distribution of sample means is 1.12
What is 23– 48? Need awnser now
(true or false).. the absolute value of a real negative number is negative.
Answer:
False
Step-by-step explanation:
The absolute value shows the distance a value is from 0, which is always positive.
The Quality Control Department employs five technicians during the day shift. Listed below is the number of times each technician instructed the production foreman to shut down the manufacturing process last week.
Technician Shutdowns Technician Shutdowns
Taylor 4 Rousche 3
Hurley 3 Huang 2
Gupta 5
Required:
a. How many different samples of two technicians are possible from this population?
b. List all possible samples of two observations each and compute the mean of each sample.
c. Compare the mean of the sample means with the population mean.
d. Compare the shape of the population distribution with the shape of the distribution of the sample means.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
Technician __Shutdown
Taylor, T___4
Rousche, R _ 3
Hurley, H__ 3
Huang, Hu___2
Gupta, ___ 5
The Numbe of samples of 2 possible from the 5 technicians :
We use combination :
nCr = n! ÷ (n-r)!r!
5C2 = 5!(3!)2!
5C2 = (5*4)/2 = 10
POSSIBLE COMBINATIONS :
TR, TH, THu, TG, RH, RHu, RG , HHu, HG, HuG
Sample means :
TR = (4+3)/2 = 3.5
TH = (4+3)/2 = 3.5
THu = (4+2) = 6/2 = 3
TG = (4 + 5) = 9/2 = 4.5
RH = (3+3) = 6/2 = 3
RHu = (3+2) /2 = 2.5
RG = (3 + 5) = 8/2 = 4
HHu = (3+2) = 2.5
HG = (3+5) = 8/2 = 4
HuG = (2+5) / 2 = 3.5
Mean of sample mean (3.5+3.5+3+4.5+3+2.5+4+2.5+4+3.5) / 10 = 3.4
Population mean :
(4 + 3 + 3 + 2 + 5) / 5 = 17 /5 = 3.4
Population Mean and mean of sample means are the same.
This distribution should be approximately normal.
is 2.281 a rational number
Answer:
no i dont think it is
Step-by-step explanation:
for every 5 people who bought $9.75 tickets to the football game, 3 people bought $14.50 tickets. If each of 35 people bought a $9.75 ticket, how many people bought the more expensive ticket?
Answer:
21
Step-by-step explanation:
5/3=35/x
3 x 35=105
5 x x= 5x
105=5x
105/5=5x/5
21=x
The number of people who bought the more expensive ticket is 21.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
For every 5 people who bought $9.75 tickets to the football game, 3 people bought $14.50 tickets. If every 35 people bought a $9.75 ticket,Let the number of people be X so we can form the following expression given below:-
5/3=35/x
3 x 35=105
5 x x= 5x
105=5x
105/5=5x/5
21=x
Therefore the number of people who bought the more expensive ticket is 21.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ2
HELP ASAP HELP HELP HELP
Given:
Pattern x: Starting number 5. Rule: Multiply by 3.
Pattern y: Starting number 20. Rule: Multiply by [tex]\dfrac{1}{2}[/tex].
To find:
The values for the given table.
Solution:
First value of x is 5.
The rule for pattern x is "number is multiply by 3".
Second value of x is:
[tex]5\times 3=15[/tex]
Third value of x is:
[tex]15\times 3=45[/tex]
The first value of y is 20.
The rule for pattern y is "number is multiply by [tex]\dfrac{1}{2}[/tex]".
Second value of y is:
[tex]20\times \dfrac{1}{2}=10[/tex]
Third value of y is:
[tex]10\times \dfrac{1}{2}=5[/tex]
Therefore, the values in the table are 5, 15, 45 and the y-values are 20, 10, 5 respectively.
Given the function R(x)=x+3/x−5, find the values of x that make the function greater than or equal to zero. Write the solution in interval notation.
Answer:
Step-by-step explanation:
[tex]R(x)=\frac{x+3}{x-5} \geq 0\\R(x)=0,gives~x+3=0,x=-3\\R(x)>0 ,if~both~numerator ~and~denominator~are~of~same~sign.\\let~x+3>0,x>-3\\and~x-5>0,x>5\\combining \\x>5\\\\again~let~x+3<0,x<-3\\x-5<0,x<5\\combining\\x<-3\\Hence~R(x)\geq 0\\if ~x \in ~[- \infty,-3]U(5,\infty)[/tex]
Points B, A, and E are:
A. coplanar and non-collinear
B. collinear and coplanar
C. non-collinear and non-coplanar
D. collinear and collinear
Answer:
Option B.
Step-by-step explanation:
3 points are collinear if we can draw a line that connects the points.
And we know that any 2 or 3 points are always coplanar because we can find a plane such that the 2 or 3 points belong to it.
In the image we can see that B, A, and E are at the same y-value, thus these points are collinear, then the points define a line, and these are 3 points, thus we know that are coplanar.
Then points A, B, and E are collinear and coplanar.
The correct option is B.
Resolve into factors. 2ab + a^2 b - 2b - ab (algebra)
AS IN THE PICTURE.............
Each side of a square is increasing at a rate of 8 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 49 cm2
Answer:
Step-by-step explanation:
This is nice and simple. I'm going to walk through it like I do when teaching this concept to my class for the first time. This is a good problem for that.
We are given a square and we are looking for the rate at which the area is increasing when a certain set of specifics are given. That means that the main equation for this problem is the area of a square, which is:
[tex]A=s^2[/tex] where s is a side.
Since we are looking for the rate at which the area is changing, [tex]\frac{dA}{dt}[/tex], we need to take the derivative of area formula implicitly:
[tex]\frac{dA}{dt}=2s\frac{ds}{dt}[/tex] that means that if [tex]\frac{dA}{dt}[/tex] is our unknown, we need values for everything else. We are given that the initial area for the square is 49. That will help us determine what the "s" in our derivative is. We plug in 49 for A and solve:
[tex]49=s^2[/tex] so
s = 7
We are also given at the start that the sides of this square are increasing at a rate of 8cm/s. That is [tex]\frac{ds}{dt}[/tex]. Filling it all in:
[tex]\frac{dA}{dt}=2(7)(8)[/tex] and
[tex]\frac{dA}{dt}=112\frac{cm^2}{s}[/tex]
The surface area of a square of side L is given by
[tex]A = L^2[/tex]
The rate of change of the area per unit time is
[tex]\dfrac{dA}{dt} = 2L\dfrac{dL}{dt}[/tex]
We can express the length L on the right hand side in terms of the area A [tex](L = \sqrt{A})[/tex]:
[tex]\dfrac{dA}{dt} = 2\sqrt{A}\dfrac{dL}{dt}[/tex]
[tex]\:\:\:\:\:\:\:=2(\sqrt{49\:\text{cm}^2})(8\:\text{cm/s})[/tex]
[tex]\:\:\:\:\:\:\:=112\:\text{cm}^2\text{/s}[/tex]
Which of the following is not a polynomial identity?
Answer:
Option B
Step-by-step explanation:
Option A
a² - b² = (a+ b)(a - b)
It's a polynomial identity.
Option B
a³ + b³ = (a - b)(a² - ab + b²)
It's not a polynomial identity.
Because the identity is,
a³ + b³ = (a + b)(a² - ab + b²)
Option C
a³ - b³ = (a - b)(a² + ab + b²)
It's a polynomial identity.
Option D
(a²+ b²)(c² + d²) = (ac - bd)² + (ad + bc)²
= a²c² - 2abcd + b²d² + a²d² + b²c² + 2abcd
= a²c² + b²c² + b²d² + a²d²
= c²(a² + b²) + d²(a² + b²)
= (a²+ b²)(c² + d²)
Therefore, it's a polynomial identity.
Option B will be the answer.
If you were a contestant on the game show described in the Monty Hall problem, would you keep the door you first selected or would you switch doors after you were shown one door that already has a goat? Explain your reasoning. 3-5 sentences
Answer:
i would switch
Step-by-step explanation:
your chance of picking the right door that has the grand price is 33.33% because 1 out of 3 doors has the prize and you have a 66.66% chance of being wrong.
*just know that the host will never reveal the grand prize first because then the tension of the game show is gone, etc *
after knowing the door that has a goat, are my chances of winning 50/50 (1 out of 2 doors) ?
no.
Always switch!
your chances are still the same as before (33.33%). like i mentioned the host won't reveal the grand prize first.
I will refer to 3 doors: X, Y, Z
So if your 1 out of 3 pick wasn't the money(you chose x), and the money is in, let's say door Y, then the host will reveal Z. If the money is in Z, the host reveals Y. IF you chose the money the first time (X), then the host can reveal either Y or Z. no matter what, you are still stuck in that initial 33.33% chance that you chose right the very first time. But if you switch, regardless of the prize, you are now in the 66.66% zone. you have actually doubled your chances of winning.
to think about it in another way, when you are being asked to switch, you are given a dilemma : do you want to keep one envelope of do you want both of the others? you already know what is inside one of them (the goat). But since the one that will be revealed won't have the money in it, the chances that the other envelope has the prize are twice as high.
Find the measure of
9514 1404 393
Answer:
30°
Step-by-step explanation:
The sum of angles in a quadrilateral is 360°.
230° +C +50° +50° = 360°
C = 360° -330° = 30°
m∠C = 30 degrees
Five of six numbers have a sum of 25. The average of all six numbers is 6. What is the sixth number?
a. 8
b. 10
c. 11
d. 12
9514 1404 393
Answer:
c. 11
Step-by-step explanation:
The sum of all 6 numbers is ...
6 × average of 6 = total of 6
6 × 6 = 36 = total of 6
Then the remaining number is ...
total of 5 + sixth number = total of 6
25 + sixth number = 36
sixth number = 36 -25 = 11
What is the solution to the system of equations?
y = A system of equations. y equals StartFraction 2 over 3 EndFraction x plus 3. x equals negative 2.x + 3
x = –2
(negative 2, negative StartFraction 15 over 2 EndFraction)
(negative 2, StartFraction 5 over 3 EndFraction)
(negative 2, StartFraction 11 over 6 EndFraction)
(negative 2, StartFraction 13 over 3 EndFraction)
9514 1404 393
Answer:
(b) (negative 2, StartFraction 5 over 3 EndFraction)
Step-by-step explanation:
The value of x is given, so you only need to substitute that into the first equation to find y.
y = 2/3(-2) +3 = -4/3 +9/3
y = 5/3
The solution is (x, y) = (-2, 5/3).
Answer:
negative 2, StartFraction 5 over 3 EndFraction)
Step-by-step explanation:
Is anyone good at this? Please help me!
Answer:
Step-by-step explanation:
For a function given as,
f(x)= 2x + 2
Domain of the given function is → {-5, -1, 2, 3}
For the Range of the given function,
f(-5) = 2(-5) + 2
= -8
f(-1) = 2(-1) + 2
= -2 + 2
= 0
f(2) = 2(2) + 2
= 6
f(3) = 2(3) + 2
= 8
Therefore, set for the range will be → {-8, 0, 6, 8}
Now plot the ordered pairs on the graph,
(-5, -8), (-1, 0), (2, 6), (3, 8)
Help
The table shows the results of a survey of students in two math classes.
Find P(more than 1 hour of TV | 6th period class). Round to the nearest thousandth. Be sure to show and explain your work.
Did You Watch More Than One Hour of TV Last Night?
Answer:
0.6
Step-by-step explanation:
In this question, the | symbol means "given", so we can phrase the question as "Find the probability that a student watches more than one hour of TV given that they are in the 6th period class"
Next, because there is a 100% chance that the student is in the 6th period class, we can disregard the results of the 3rd period class.
Given that the student is in the 6th period class, there are 15 total students (as 9+6=15 = the sum of the yes and no answers for 6th period) and 9 students that said yes. Therefore, there is a 9/15 = 3/5 = 0.6 probability that a student watches more than 1 hour of TV given that they are in the 6th period class
In AAEB, CD is parallel to AB. Complete each proportion.
Answer: I dont know if this is right
Step-by-step explanation:
EC/CA= ED/DB
EC/EA = DE/BA
EB/ED= AE/DE
DB/EB = CD/AE
HELP
Which of the lines below has a slope of 0?
Answer:
C has a zero slope
Step-by-step explanation:
A horizontal line has a slope of zero
A vertical line has an undefined slope
A positive slope goes up from left to right
A negative slope goes down from left to right
Given this equation for converting temperature from Celsius (c) to Fahrenheit (f): f = (9/5)c + 30
Answer:
I will be there at the same time
What is the difference of the two polynomials? (NineX squared plus 8X) minus (twoX squared plus 3X)
Answer:
[tex]7x {}^{2} + 5x[/tex]
Step-by-step explanation:
[tex]9x {}^{2} + 8x - (2x {}^{2} + 3x) \\ \\ = 9x {}^{2} + 8x - 2x {}^{2} - 3x (remove \: brackets) \\\ \\ = 7x {}^{2} - 5x [/tex]
HELP PLEASE ASAP!!! So for this problem I got the scientific notation however I can not seem to figure out the standard notation. Can someone please help me out here please?
Answer:
0.000000073
Step-by-step explanation:
Given number is,
7.3E - 8
In scientific notation number will be,
7.3 × 10⁻⁸
In standard form the number will be,
0.000000073
The fast food restaurant two blocks away serves customers in an average of 62 seconds with a standard deviation of 24.5 seconds. If the manager wants to advertize that 95% of the time, they serve customers within X seconds, what is the value of X
Answer:
X = 101.48
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Average of 62 seconds with a standard deviation of 24.5 seconds.
This means that [tex]\mu = 62, \sigma = 24.5[/tex]
If the manager wants to advertize that 95% of the time, they serve customers within X seconds, what is the value of X?
This is the 95th percentile of times, which is X when Z has a p-value of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 62}{24.5}[/tex]
[tex]X - 62 = 1.645*24[/tex]
[tex]X = 101.48[/tex]
Please help 20 points an will give Brainiest to who ever is right
Answer:
horizontal expansion factor of 2
2^x =2(2)=4
2^4=2×2×2×2= 16
A supervisor records the repair cost for 17 randomly selected stereos. A sample mean of $66.34 and standard deviation of $15.22 are subsequently computed. Determine the 80% confidence interval for the mean repair cost for the stereos. Assume the population is approximately normal. Find the critical value that should be used in constructing the confidence interval.
A supervisor records the repair cost for 17 randomly selected stereos. A sample mean of $66.34 and standard deviation of $15.22 are subsequently computed. Determine the 80 % confidence interval for the mean repair cost for the stereos. Assume the population is approximately normal. Construct the 80% confidence interval.
Answer:
I AM VERY SORRY AARUSH KAPUSH
Step-by-step explanation:
Closing prices of two stocks are recorded for 50 trading days. The sample standard deviation of stock X is 4.665 and the sample standard deviation of stock Y is 8.427. The sample covariance is 35.826.
Calculate the sample correlation coefficient. (Round your answer to 4 decimal places.)
Correlation coefficient
Answer:
0.9113
Step-by-step explanation:
Given :
Sample standard deviation of Stock X = 4.665
Sample standard deviation of Stock Y = 8.427
Sample Covariance = 35.826
The Correlation Coefficient, R is related to sample covariance and standard deviation using the formular :
R = Covariance(X, Y) / (SD(X) * (SD(Y))
R = 35.826 / (4.665 * 8.427)
R = 35.826 / 39.311955
R = 0.9113
Hence, correlation Coefficient, R = 0.9113 which depicts a strong positive relationship.
