Answer:
Step-by-step explanation:
A' (2,-3)
B' (5,-5)
C' (7,-3)
D' (5,-2)
Answer:
A' (2,-3)
B' (5,-5)
C' (7,-3)
D' (5,-2)
Step-by-step explanation:
An article reported the results of an experiment to determine the effect of load on the drift in signals derived from a piezoelectric force plates. The correlation coefficient y between output and time under a load of 588 N was −0.9515. Measurements were taken 110 times per second for 300 seconds, for a total of 33000 measurements. Find a 95% confidence interval for the population correlation rho. Round the answers to four decimal places.
Answer:
95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505
Step-by-step explanation:
Given the data in the question;
correlation coefficient y between output and time under a load of 588 N was −0.9515
so first we determine the quantity W.
we know that; W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + r}{1 - r}[/tex])
we substitute -0.9515 for r
W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + (-0.9515 )}{1 - (-0.9515 )}[/tex])
W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 - 0.9515 )}{1 + 0.9515 )}[/tex])
W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{ 0.0485}{1.9515 }[/tex])
W = [tex]\frac{1}{2}[/tex]ln( 0.02485 )
W = [tex]\frac{1}{2}[/tex]( -3.6948975 )
W = - 1.8474
So the quantity W is normally distributed with standard deviation given by;
σ[tex]_w[/tex] = 1 / √(n - 3)
given that n is 33,000, we substitute
σ[tex]_w[/tex] = 1 / √(33,000 - 3)
σ[tex]_w[/tex] = 1 / √32997
σ[tex]_w[/tex] = 0.0055
Now, at 95% confidence interval, μ[tex]_w[/tex] will be;
⇒ - 1.8474 - 1.96( 0.0055 ) < μ[tex]_w[/tex] < - 1.8474 + 1.96( 0.0055 )
⇒ - 1.8474 - 0.01078 < μ[tex]_w[/tex] < - 1.8474 + 0.01078
⇒ -1.8582 < μ[tex]_w[/tex] < -1.8366
So to obtain 95% confidence interval for p, we use the following equation;
we transform the inequality
p = [( [tex]e^{2u_w} - 1[/tex] ) / ( [tex]e^{2u_w} + 1[/tex] )]
we substitute
[tex]\frac{e^{2(-1.8582 )}-1}{e^{2(-1.8582 )} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{2(-1.8366)}-1}{e^{2(-1.8366)} + 1}[/tex]
[tex]\frac{e^{-3.7164}-1}{e^{-3.7164} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{-3.6732}-1}{e^{-3.6732} + 1}[/tex]
[tex]\frac{0.02432-1}{0.02432 + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{0.025395-1}{0.025395 + 1}[/tex]
[tex]\frac{-0.97568}{1.02432}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{-0.974605}{1.025395}[/tex]
-0.9525 < [tex]p[/tex] < -0.9505
Therefore, 95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505
Santino fires a paintball 3 meters from the ground such that the initial trajectory is perfectly horizontal. Assume the paintball does not hit anything and the ground is level. When will the paintball hit the ground?
What does b equal in the picture below?
Answer:
87
Step-by-step explanation:
just subtract 16 from 103
The Antique Auto News charges $10 for a 10-word classified ad. Each additional word costs $0.40. For an extra $40, a seller can include a photo in the ad. How much would a 20-word ad with a photo cost?
Answer: $60
Step-by-step explanation:
Here is why:
For 20 -word ad it will be $20 because of twice the amount of the 10 word amount. and another $40 for the photo!
And you get $60!
Any Questions
It will cost $54 for an 20 word ad and a photo.
We have Antique Auto News agency which charges $10 for a 10-word classified ad. Each additional word costs $0.40 and for an extra $40, a seller can include a photo in the ad.
We have to determine much would it cost for a 20-word ad with a photo.
Starting from x, if the bacteria count rises by 5 every second, then determine the formula to calculate the bacteria count after 30 seconds.Initial count = x
Count increasing per second = 5
Assume that the bacteria count after t seconds is y. Then -
y = x + 5t
for t = 30 ↔ y = 150 + x
According to the question, we have -
Cost of 10-word classified ad → $10
Additional word cost → $0.40
Additional Photo cost → $40
Therefore -
Assume that for a 20-word ad with a photo costs $x.
Therefore -
x = 10 + 0.40 x 10 + 40
x = 10 + 4 + 40
x = 54
Hence, it will cost $54 for an 20 word ad and a photo.
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The length of a rectangular platform is 2 feet longer
than three times its width. The area of the platform is
56 square feet. What are the width and the length
of the platform?
Answer: Length: 14; Width: 4
Step-by-step explanation:
Marine biologists have determined that when a shark detectsthe presence of blood in the water, it will swim in the directionin which the concentration of the blood increases mostrapidly. Based on certain tests in seawater, theconcentration of blood(in parts per million) at point P(x,y) on thesurface is approximated by:
C(x,y)= e^- (x^2+2y^2).10^4
where x and y are measured in meters in a rectangularcoordinate system with the blood source at the origin.
a. Identify the level curves of the concentration function andsketch several members of this family together with a path that ashark will follow to the source.
b. Suppose a shark is at the point (xo, yo) when it first detects the presenceof blood in the water. Find an equation of the shark's path bysetting up and solving a differential equation.
Solution :
a). The level curves of the function :
[tex]$C(x,y) = e^{-(x^2+2y^2)/10^4}$[/tex]
are actually the curves
[tex]$e^{-(x^2+2y^2)/10^4}=k$[/tex]
where k is a positive constant.
The equation is equivalent to
[tex]$x^2+2y^2=K$[/tex]
[tex]$\Rightarrow \frac{x^2}{(\sqrt K)^2}+\frac{y^2}{(\sqrt {K/2})^2}=1, \text{ where}\ K = -10^4 \ln k$[/tex]
which is a family of ellipses.
We sketch the level curves for K =1,2,3 and 4.
If the shark always swim in the direction of maximum increase of blood concentration, its direction at any point would coincide with the gradient vector.
Then we know the shark's path is perpendicular to the level curves it intersects.
b). We have :
[tex]$\triangledown C= \frac{\partial C}{\partial x}i+\frac{\partial C}{\partial y}j$[/tex]
[tex]$\Rightarrow \triangledown C =-\frac{2}{10^4}e^{-(x^2+2y^2)/10^4}(xi+2yj),$[/tex] and
[tex]$\triangledown C$[/tex] points in the direction of most rapid increase in concentration, which means [tex]$\triangledown C$[/tex] is tangent to the most rapid increase curve.
[tex]$r(t)=x(t)i+y(t)j$[/tex] is a parametrization of the most [tex]$\text{rapid increase curve}$[/tex] , then
[tex]$\frac{dx}{dt}=\frac{dx}{dt}i+\frac{dy}{dt}j$[/tex] is a tangent to the curve.
So then we have that [tex]$\frac{dr}{dt}=\lambda \triangledown C$[/tex]
[tex]$\Rightarrow \frac{dx}{dt}=-\frac{2\lambda x}{10^4}e^{-(x^2+2y^2)/10^4}, \frac{dy}{dt}=-\frac{4\lambda y}{10^4}e^{-(x^2+2y^2)/10^4} $[/tex]
∴ [tex]$\frac{dy}{dx}=\frac{dy/dt}{dx/dt}=\frac{2y}{x}$[/tex]
Using separation of variables,
[tex]$\frac{dy}{y}=2\frac{dx}{x}$[/tex]
[tex]$\int\frac{dy}{y}=2\int \frac{dx}{x}$[/tex]
[tex]$\ln y=2 \ln x$[/tex]
⇒ y = kx^2 for some constant k
but we know that [tex]$y(x_0)=y_0$[/tex]
[tex]$\Rightarrow kx_0^2=y_0$[/tex]
[tex]$\Rightarrow k =\frac{y_0}{x_0^2}$[/tex]
∴ The path of the shark will follow is along the parabola
[tex]$y=\frac{y_0}{x_0^2}x^2$[/tex]
[tex]$y=y_0\left(\frac{x}{x_0}\right)^2$[/tex]
PLEASE PLEASE PLEASE
Answer:
C
Step-by-step explanation:
30 x 60 x 70 = 126,000
90 x 60 x 30 = 288,000
288,000 + 126,000 = 288,000cm^3
Answer: 288,000 [tex]cm^{3}[/tex]
Step-by-step explanation:
first, break down the shape thingy into two different shapes. there's more than one way to do it, but i'll be cutting the shape horizontally at the corner of the L shape (where the 40 cm and 90 cm lines connect)
small prism dimensions: 60 x 30 x 40 = 72,000
large prism dimensions: (30+90) x (70-40) x 60 / 120 x 30 x 60 = 216,000
add them to get 288,000 [tex]cm^{3}[/tex]
A trapezoid has interior angle measures of 90,90 ,75 and X degrees. Find the measure of angle x in the trapezoid. Enter only the number of degrees in the answer box. Angle x measures degrees.
The angles inside a trapezoid add up to equal 360 degrees
X = 360-90-90-75 = 105 degrees.
Write down the reciprocal of 8
Answer: 1/8
Step-by-step explanation:
Concept
Reciprocal is any number that is reverse to the given value. This means the original number times the reciprocal will equal 1. For a more graphical explanation, please refer to the attachment below.
Solve
8×(x)=1
x=1/8
Hope this helps!! :)
Please let me know if you have any questions
Which expression is equivalent to? (first picture) Assume (second picture)
Answer choices:
A –50x8y18
B –2x8y18
C –2x12y72
D 5x8y18
HALLLPPP I RLLY NEED UR HELLLPP PLSSSS!!!
(And pls explain how exactly you got your answer thank you so much!)
Find the Compound Interest.
Principal: 1,000
Interest Rate: 3%
Time: 3 years
Answer:
92.727
Step-by-step explanation:
The formula for compound interest is [tex]P((1+i)^{t} -1)[/tex], where P is the principal amount, i is the interest rate and t is the time. Sub your values into this formula to find your answer.
1000((1+0.03)³-1)
1000(1.03³-1)
1000(1.092727-1)
92.727
1000(0.092727)
The winning height for the men's Olympic high jump has been increasing each year. A regression line of the data is y = 0.23x + 70.8, where
y is the height of the men's winning jump in inches and x is the number of years since the first Olympics in 1896.
Which statement best describes the meaning of the y-intercept of the regression line?
A. The winning men's high Jump helght of the first Olympics was about 0.23 inches.
B. The winning men's high jump helght of the first Olympics was about 70.8 inches.
C. Each year the winning men's high jump helght is predicted to increase by 0.23 inches.
D. Each year the winning men's high jump helght is predicted to increase by 70.8 inches.
The y intercept of the equation is the 70.8.
The answer would be
B. The winning men's high jump helght of the first Olympics was about 70.8 inches.
Answer:
the answer is c
Step-by-step explanation:
because x is the number of years since the first olympics in 1896 you would multiply x=225 for 2021 by 0.23in and get 51.75in which is how much the winning jump went up over the years. so it is predicted to rise by 0.23in every competition.
A square has a perimeter of 67 inches. What is the area of the square?
Answer:
280.56 in
Step-by-step explanation:
A square has 4 sides
67/4 = 16.75
All 4 sides are 16.75
Now, area of a square
16.75 x 16.75 = 280.5625
Round to Hundreths, 280.56.
280.6
i took the test................................
find the cost of 72 books at 5.75
Answer:
72×5.75=414
Step-by-step explanation:
is the cost of 72 books
Please help mehhhhhh
Answer: They should be 1.5 apart from each other
What is m ZPQR?
R
(x + 3)
(3x + 5)
S.
Р
Answer:
3 x 2 − 2 x -5
Step-by-step explanation:
Help me somebody pleaseeee
The difference of seven and two tenths and a number is more than twenty nine.
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
50%
Step-by-step explanation:
The distance between each dot is 25%
From 68 to 70 is 25% and 70 to 74is 25%
Above 68 is 25+25 or 50 %
Somebody help me with the question
10h + hx=d-5 solve for h
Answer:
Hey!!
Step-by-step explanation:
h = d − 5 /10 + x
Hope this helps!
Have a nice day<3
solve (2x3-5x2+8)(x+3)
Answer:
[tex](2 {x}^{3} - 5 {x}^{2} + 8)(x + 3) \\ = (2 {x}^{4} - 5 {x}^{3} + 8x + 6 {x}^{3} - 15 {x}^{2} + 24) \\ = 2 {x}^{4} + {x}^{3} - 15 {x}^{2} + 8x + 24[/tex]
Answer:
[tex]2x^{4} + x^{3} - 15x^{2} + 8x + 24[/tex]
Step-by-step explanation:
Mark as Brainllest
Five boxes of fruit snacks cost $22.50.
How much would three boxes cost?
How much would nine boxes cost?
How much would x boxes cost?
Answer:
13.5 answer is 13.5 and one cost 4.5
Washington (CNN) About three-quarters of Americans (77%) approve of President Donald Trump's decision to meet with North Korean leader Kim Jong Un, according to a new CNN pollconducted by SSRS. Trump's approval rating for handling the situation with North Korea has jumped 10 points since late March.
...
The CNN Poll was conducted by SSRS May 2-5 among a random national sample of 1,015 adults reached on landlines or cellphones by a live interviewer. Results for the full sample have a margin of sampling error of plus or minus 3.6 percentage points; it is larger for subgroups.
Assuming that the level of confidence and the statistic remain the same what would happen to the Margin of Error if they had surveyed 2,030 adults instead of 1,015?
a. The margin of error would increase.
b. The margin of error would decrease.
c. The margin of error would stay the same.
d. It will depend on how the people in the sample respond.
Answer:
b. The margin of error would decrease.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
This means that the margin of error is inversely proportional to the size of the sample, which means that if the sample size increases, the margin of error decreases.
In this question, the sample size is increased, leading to a smaller margin of error. So the correct answer is given by option b.
simplify this question
Answer:
8192
Step-by-step explanation:
The answer is 8192 but in your multiple-choice problem it's [tex]2^{13}[/tex]
Which previewing strategy would work best for a topic you have heard of before?
a.
using prior knowledge
c.
skim the introduction and conclusion
b.
identify text structure
d.
none of the above
Answer:
A- using prior knowledge
Step-by-step explanation:
Which equation is represented by the graph below?
Answer:
Its the third answer choice
Step-by-step explanation:
Hope this helped!!!
Find the domain of the expression:
-((18a^2b^2)/(5cd))/-((9ab^3)/(5c^2d^4))
I can't seem to get it right, I've already tried a, b, c, and d not equal to 0 and it is still not right.
Answer:
2acd^3b^-1
Step-by-step explanation:
About the domain, I don't understand that but i tried to help you.
9514 1404 393
Answer:
a≠0 and b≠0 and c≠0 and d≠0
Step-by-step explanation:
No denominator is allowed to be zero. 'c' and 'd' are in the denominator of the numerator and denominator terms. 'a' and 'b' are in the numerator of the denominator term, so will make that term zero if they are zero. In short, none of a, b, c, or d may be zero.
__
The fact that the expression simplifies to ...
2acd^3/b
does not mean that the only restriction is b≠0.
HELP PLEASEEEEEEEE I NEED HELP ASAP
Answer: Fish tank = 9 other fishtank= 9,000 Jewlery box=9 other jewelry box=320
CANT SEE OTHER SORRY
Step-by-step explanation: Ok first IK UR NOT IN COLLEGE second dont
cheat imma give ya answer to be noice
Given the feasible region graphed below, where will the maximum value of the objective function f(x, y) = −2x + y − 1 occur?
a. (3, 0)
b. (−3, 0)
c. (0, −3)
d. (0, 0)
The maximum value of the objective function occurs at (-3, 0). The correct option is (-3, 0).
What is a function?A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) and x ∈ X and y ∈ Y.
The objective function is given as f(x, y) = −2x + y − 1.
For the maximum value all the options are analysed one by one as follows,
(a) Substitute x = 3 and y = 0 in the given objective function to obtain,
-2 × 3 + 0 - 1 = -7
(b) Substitute x = -3 and y = 0 in the given objective function to obtain,
-2 × -3 + 0 - 1 = 5
(c) Substitute x = 0 and y = -3 in the given objective function to obtain,
-2 × 0 + -3 - 1 = -4
(d) Substitute x = 0 and y = 0 in the given objective function to obtain,
-2 × 0 + 0 - 1 = -1
Hence, the maximum value of the given objective function occurs at (-3, 0).
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