Answer:
a
Step-by-satep 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
Please help! Due today
Answer:
-4 5/12
Step-by-step explanation:
Need help quick with full work
Answer:
1st of column 1
and
3rd of column 2
PLZ ANSWER I WILL MARK BRAINLIEST
Step-by-step explanation:
There is a difference between the numbers that is 6
So...
y=6x+5
Answer:
6x+5
Step-by-step explanation:
1 x 6=6+5=11
awnser plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
x = 12, x = -4.
Step-by-step explanation:
x² - 8x - 48 = 0.
This factors to (x - 12)(x + 4) = 0.
Proof:
(x - 12)(x + 4) = 0
first: x * x
outer: 4 * x
inner: -12 * x
last: -48.
first: x²
outer: 4x
inner: -12x
last: -48
x² + 4x - 12x - 48
x² - 8x - 48.
To find the zeros, take the individual pairs and find the values that make the equation 0.
x - 12 = 0
Add 12 to both sides.
x = 12.
x + 4 = 0
Subtract 4 from both sides.
x = -4.
Answer:
x= 4 + 2√5, x = 4 - 2√5
Step-by-step explanation:
So this is quadratics so you can solve it by completing the square and using the quadratic formula. The quadratic formula is x = (-b±√(b²-4ac)) / (2a).
Arsenic concentration in public drinking water supplies is potential health risk. An investigator collected data of arsenic concentration in parts per billion (ppb) from 10 metropolitan phoenix communities and 10 rural Arizona. Under = 5%, can the investigator conclude that the metropolitan phoenix water is different from the rural Arizona when it comes to the Arsenic concentration
Answer:
Hello your question has some missing data below is the missing data
answer : The Investigator can conclude that the metropolitan phoenix water is different from the rural Arizona ( to = -2.77 which is < 0.05 )
Step-by-step explanation:
The hypothesis ;
H0 : μ1 = μ2
Ha : μ1 ≠ μ2
significance level ( ∝ ) = 0.05
calculate for degree of freedom ( df ) = 13.2 ( using excel function )
find the test statistic ( to ) = -2.77
attached below is the remaining part of the solution
AB = 5, AP = 4, and DP = 12, then find the length of PC
Answer:
[tex]PC = 0.333[/tex]
Step-by-step explanation:
Given
[tex]AB = 5[/tex]
[tex]AP = 4[/tex]
[tex]DP =12\\[/tex]
See attachment
Required
Find PC
When two chords intersect, the product of the segments are always equal.
In chord DC, the segments are DP and PC
In chord AB, the segments are AP and PB
So:
[tex]DP * PC = AP * PB[/tex]
This gives:
[tex]12 * PC = 4 * PB[/tex] --- (1)
In chord AB, we have:
[tex]AB = AP + PB[/tex]
Make PB the subject
[tex]PB = AB - AP[/tex]
This becomes
[tex]PB = 5 - 4[/tex]
[tex]PB = 1[/tex]
[tex]12 * PC = 4 * PB[/tex] --- (1) becomes
[tex]12 * PC = 4 * 1[/tex]
[tex]12 * PC = 4[/tex]
Make PC the subject
[tex]PC = \frac{4}{12}[/tex]
[tex]PC = 0.333[/tex]
How old is a tree with circumference of 62.83 cm?
Step-by-step explanation:
19.9 is the age of the tree.
divide the circumference with 3.142 .
hope this helps you☺️☺️
(D) Work out
1/4 of 28
Answer:
1/4 ×28=7 ::*^ jghjnryh
Answer:
7
Step-by-step explanation:
[tex]\left(\frac{1}{4}\right)\cdot28[/tex]
[tex]\frac{\left(1\right)\cdot\left(28\right)}{\left(4\right)\cdot\left(1\right)}[/tex]
[tex]\frac{\left(28\right)}{\left(4\right)}[/tex]
You should divide both the numerator and the denominator by 4 and get 7 as a result of that.
The City of Minneapolis is deciding whether to install a stoplight or a stop sign at a very dangerous intersection. Every time a car goes through the intersection, it either is safe, gets in a minor accident, or gets in a major accident. The stoplight would prevent crashes more often, but they would be more costly if they did occur.
The City of Minneapolis performs 800800800 simulations of a car going through the intersection with a stoplight and with a stop sign. Once they decide whether to install a stoplight or a stop sign, they expect 400040004000 cars to travel through the intersection in the next year.
What is the expected damage at this intersection in the next year if the City of Minneapolis installs a stoplight? \$$dollar sign
What is the expected damage at this intersection in the next year if the City of Minneapolis installs a stop sign? \$$dollar sign
To minimize the expected damage, The City of Minneapolis should install a
.
(If necessary, round your answers to the nearest dollar.)
The following table shows damage from each type of accident depending on whether the City of Minneapolis installs a stoplight or a stop sign.
Stoplight Stop sign
Major accident \$900$900dollar sign, 900 \$700$700dollar sign, 700
Minor accident \$600$600dollar sign, 600 \$200$200dollar sign, 200
The following table shows the results from the traffic simulation.
Car result Stoplight Stop sign
Major accident 151515 191919
Minor accident 242424 313131
No accident 761761761 750750750
Total 800800800 800800800
Answer:
Stoplight (75*$900) + (120*$600) + (3805 * $0) = $139500
Stopsign (95*$700) + (155*$200) + (3750* $0) = $97500
Step-by-step explanation:
To minimize damage, a stop sign should be installed.
What is the magnitude of -10 + 24i?
this is for a unit over complex numbers on a p e x
Answer:
The magnitude of the number is of 26.
Step-by-step explanation:
Magnitude of a complex number:
A complex number has the following format: a + bi
In which a is the real coefficient and b is the imaginary coefficient.
The magnitude of the number is:
[tex]\sqrt{a^2+b^2}[/tex]
What is the magnitude of -10 + 24i?
For this number, a = -10, b = 24. So
[tex]\sqrt{a^2+b^2} = \sqrt{(-10)^2+24^2} = \sqrt{676} = 26[/tex]
The magnitude of the number is of 26.
She mixes nuts, raisins and oats in the ratio 3:2:5 by weight. Babajan uses 60 grams of nuts. Work out the weight of raisins she uses to make the breakfast cereal
Answer:
weight of raisins : 40
Step-by-step explanation:
nuts : raisins : oats
3:2:5= 60: ? : ?
60÷3 = 20
raisins : 2×20 = 40
A car is driving at 40 kilometers per hour. How far, in meters, does it travel in 2 seconds?
Answer:
i think its 22.22 thats my guess
Answer:
[tex]\frac{1}{45}[/tex] kilometers
Step-by-step explanation:
60 minutes = 3600 seconds
[tex]\frac{40}{3600} =\frac{y}{2}[/tex]
3600y = 80
3600y ÷ 3600 = 80 ÷ 3600
[tex]y=\frac{1}{45}[/tex]
Would greatly appreciate the help
Answer:
B
Step-by-step explanation:
1.454, 1.454444, 1.454454454, 1.4545454, 1.454545 in order but as you can see, the last two are equal
In scientific notation
Answer:
2*10^4
I can't see the question..
[tex]4*10^6[/tex] = 4000000
[tex]2*10^2[/tex] = 200
4000000/200 = 20000
20000 = [tex]2*10^4[/tex]
Step-by-step explanation:
I hope this helps!
Have a nice day!
and can I maybe have brainliest? Thanks!
Cherries cost $4.35 per pound and onions cost $0.98 per pound. Lacey has $21.45 to spend. How many pounds of cherries can Lacey afford if she has to buy 3 pounds of onions?
The volume of the rectangular prism is 312 cm2 h 4 cm 6 cm What is the height of the prism? Height = cm
Answer:
h=13
Step-by-step explanation:
volume=w*h*l
312=(4)(6)(X)
Find the measure of 46.
46 = [?]
24°
46
Answer:
Solution given:
<6+24=180[co- interior angle]
<6=180-24=156°
<6=156°
Same side interior angles are supplementary
<6+24=180<6=180-24<6=156°Let f(x) = 6x² - 54x+100 and g(x)=-3x² + 19. Identify the solution(s) of f(x) = g(x).
Answer:
x = 3
Step-by-step explanation:
f(x) = g(x)
[tex]6x^{2} - 54x + 100 = -3x^{2} + 19\\9x^{2} - 54x + 81 = 9(x^{2} - 6x + 9) = 0[/tex]
9(x - 3)(x - 3) = 0
x = 3
A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 1.01, .97, 1.03, 1.04, .99, .98, .99, 1.01, and 1.03 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximate normal distribution. Interpret the interval carefully in the context of the problem
What is the graph of the following parametric equation? x = sqrt(t) and y = 2t - 3
(pls include a graph answer!)
Answer:
Th final equation is [tex]Y = 2X^2 -3[/tex]
The graph is attached
Step-by-step explanation:
Given
[tex]X = \sqrt{t} \\t = X^2[/tex] --- Eq (1)
and [tex]Y = 2t -3[/tex] --- Eq (2)
Substituting the value of "t" from Eq (1) into Eq (2), we get -
[tex]Y = 2X^2 -3[/tex]
The graph for the equation is attached here with
The Cartesian form of the parametric equation is y = 2x² – 3 and the graph will be a parabola.
What are parametric equations?A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.
We have parametric functions:
x = √t ⇒ x² = t
y = 2t—3
Plug t = x² in the other equation, we get:
y = 2x² - 3
The graph will be a parabola.
Thus, the Cartesian form of the parametric equation is y = 2x² – 3 and the graph will be a parabola.
Learn more about the parametric function here:
brainly.com/question/10271163
#SPJ5
Nancy’s nut store sells peanuts for $2 per pound and cashews for $10 per pound. The store sells a peanut - cashew mixture for $7 per pound. How many pounds of peanuts and how many pounds of cashews should be used to create 40 pounds of the mixture? I’m
9514 1404 393
Answer:
25 pounds cashews15 pounds peanutsStep-by-step explanation:
Let c represent the number of pounds of cashews in the mix. Then 40-c is the number of pounds of peanuts. The total cost of the mix is ...
10c +2(40 -c) = 7(40)
8c +80 = 280 . . . . simplify
c +10 = 35 . . . . . . . divide by 8
c = 25 . . . . . . . . . . subtract 10
40-c = 40-25 = 15 . . . . pounds of peanuts
25 pounds of cashews and 15 pounds of peanuts should be used in the mix.
Help me out!!!! ASAP!!!!
Answer:
226 feet
Step-by-step explanation:
264^2 + 900^2= c^2
879696= c^2
938= c
900+ 264= 1164
1164- 938= 226
I think this is right
Pls help if u cannnnnnnnnn
Answer:
V≈2144.66m³
Step-by-step explanation:
V=4 /3πr^3
d=2r
Solving for V
V=1/ 6πd^3=1/ 6·π·16^3≈2144.66058m³
Hope this helped!!!
Answer:
2143.57 m³
Step-by-step explanation:
Formula of volume of sphere
[tex] = \frac{4}{3} \times π \times {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3} [/tex]
[tex] = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]
[tex] = \frac{6430.72}{3} [/tex]
[tex] = 2143.573333...[/tex]
= 2143.57 m³ (rounded to the nearest hundredth)
Given that f(x) = 5x+3 and g(x) = x²-3.
Find
a f(4)
b) f(g(x))
C). g( f (2))
Answer:
given;
f(x) = 5x+3
g(x) = x²-3.
Step-by-step explanation:
a f(4)=5×4+3=23
b) f(g(x))=f(x²-3)=5{x²-3)+3=5x²-15+3=5x²-12
C). g( f (2))=g(5×2+3)=13²-3=166
If the die is rolled 100 times, predict the number times it would land on an
even number. *
Answer:
50
Step-by-step explanation:
there are 6 numbers on a dice 3 even 3 odd you would have a 50 chance of getting even
Part C
How many cubic blocks are needed to fill the fish tank?
Answer:
[tex]2\frac{2}{3}[/tex] cubic blocks
Step-by-step explanation:
The given parameters are:
[tex]Length = \frac{1}{2}yd[/tex]
[tex]Width = 16yd[/tex]
[tex]Height =\frac{1}{3}yd[/tex]
Required
Number of cubic blocks to fill the tank
To do this, we simply calculate the volume of the tank by:
[tex]Volume = Length * Width * Height[/tex]
This gives:
[tex]Volume = \frac{1}{2} * 16 * \frac{1}{3}[/tex]
[tex]Volume = \frac{16}{6}[/tex]
Simplify
[tex]Volume = \frac{8}{3}[/tex]
Express as mixed numbers
[tex]Volume = 2\frac{2}{3}yd^3[/tex]
3 5/8 - 2 1/8=?
[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]
ASAP!!!!
Answer:
answer:
[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]
[tex] \frac{29}{8} - \frac{17}{8} [/tex]
[tex] \frac{29-17}{8} [/tex]
[tex] \frac{12}{8} [/tex]
[tex] \frac{3}{2} [/tex]
[tex] 1\frac{1}{2} [/tex]
is your answer.
Find the greatest common factor of 6c^3 and 10c^4
Answer:
2c^3
Step-by-step explanation:
The greatest common divisor of 6 and 10 are 2
The factors that are common to 6c^3, 10c^4 would be 2ccc
Simplify that and you have 2c^3
2.6x + 10.5 = 31.3
I need to find the answer of x whoever gets it correct will get brianliest!
Answer:
2.6x + 10.5 = 31.3
Step-by-step explanation:
