Answer:
= this is that two expression two equal numbers
a random sample of 1000 car owners in a particular city found 150 car owners who received a speeding ticket this year. find a 95% confidence interval for the true percent of car owners in this city who received a speeding ticket this year.
The confidence interval for the true percent of car owners in the city who received a speeding ticket be, (139.27 , 160.73).
Subtract 1 from your sample size. 1000 – 1 = 999. This provides the degrees of freedom.
Subtract the confidence level from 1, and then divide by two.
(1 – .95) / 2 = .025
Now, df = 999 and α = 0.025
from the table at df = 999 we got 2.262.
Divide your sample standard deviation by the square root of your sample size.
150 / √(10) = 4.74
Now, 2.262 × 4.74 = 10.73
So, the confidence interval be,
(150 - 10.73 , 150 + 10.73) = (139.27 , 160.73)
Hence, the confidence interval for the true percent of car owners in the city who received a speeding ticket be, (139.27 , 160.73).
Learn more about Statistics here https://brainly.com/question/27165606
#SPJ4
how do you calculate degrees of freedom for goodness-of-fit chi-square tests versus chi-square tests for independence and homogeneity?
The degrees of freedom for goodness-of-fit chi-square tests are calculated with the formula: df=bins(or categories)−1−number of parameters of the distribution and the degrees of freedom for the chi-square are calculated using the following formula: df = (r-1)(c-1) .
In the given question we have to calculate degrees of freedom for goodness-of-fit chi-square tests versus chi-square tests for independence and homogeneity.
When a categorical variable has more than two levels, a chi-square goodness-of-fit test can be performed. A one proportion z test may be performed if there are precisely two categories. There must be no overlap between those category variable's levels. To put it another way, every situation must fall into exactly one group.
The degrees of freedom in this case are calculated with the formula:
df=bins(or categories)−1−number of parameters of the distribution.
The degrees of freedom for the chi-square are calculated using the following formula:
df = (r-1)(c-1)
where r is the number of rows and c is the number of columns.
The null hypothesis can be rejected if the observed chi-square test statistic is higher than the crucial value.
To learn more about goodness-of-fit chi-square tests or chi-square tests link is here
brainly.com/question/16865619
#SPJ4
An online tutoring company charges $25 per session plus an annual membership fee of $45. If a member is charged $545 for the year, how many sessions did they have that year?
The total number of sessions they did in that year will be equal to 20.
What is an equation?Equations are mathematical expressions with two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be similar to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a simple fundamental equation.
As per the data given in the question,
The charge per session = $25
Annual membership charge = $45
Total money paid = $545
Money left after paying for the annual membership = $545 - $45= $500
The total number of sessions in $500 will be,
T = 500/25
T = 20 sessions.
To know more about the equation:
https://brainly.com/question/29657983
#SPJ1
A circle with radius of 2 cm sits inside a 7 cm x 11 cm rectangle
I believe the answer you seek would be that the area of the shaded region would be [tex]64.43 cm^2[/tex].
Hope this helps!
write the general antiderivative. (use c for the constant of integration. remember to use absolute values where appropriate.) 1 8 x 1 8x 1 8 x dx
The integration of the given function is as follows.
What is anti derivative?
In calculus, an antiderivative, inverse derivative, primitive perform, primitive integral or integral of a perform f could be a differentiable perform F whose spinoff is adequate to the initial perform f. this could be explicit symbolically as F' = f
Main body:
f (x) = x/8 +1/8x + (1/8)^x
to find the anti derivative , we need to integrate the function;
apply sum rule:
[tex]\int\ f{(x)} + g (x)\, dx[/tex] = [tex]\int\ f {(x)} \, dx + \int\ g {(x)} \, dx[/tex]
[tex]\int\ {(x/8)} \, dx[/tex] = x² /16
[tex]\int\ f {(1/8x)} \, dx[/tex] = 1/8 ln|x|
[tex]\int\ f {(1/8^x)} \, dx[/tex] = [tex]-\frac{1}{3\ln \left(2\right)\cdot \:8^x}[/tex]
hence
[tex]\int \frac{x}{8}+\frac{1}{8x}+\frac{1}{8^x}dx[/tex]= [tex]\frac{x^2}{16}+\frac{1}{8}\ln \left|x\right|-\frac{1}{3\ln \left(2\right)\cdot \:8^x}+C[/tex]
To know more about antiderivative , visit:
https://brainly.com/question/21627352
#SPJ4
A, B, and C are three landmarks in a national park. Landmarks A and B are 650 meters apart. Landmarks B and C are 822 meters apart. Carla takes 4 minutes to run from Landmark A Landmark B, and another 6 muinutes to run from Landmark B to Landmark C. What is Carla's average speed in meters per minute for the run from Landmark A to Landmark C?
a rectangular block of mass m has dimensions as shown. in terms of m, a, b and c, find the rotational inertia of the block about an axis of rotation through one of the corners of the block which is perpendicular to the large faces. b. let m
The rotational inertia of the block about an axis of rotation through one of the corners of the block which is perpendicular to the large faces will be M(a²+b²)/3.
What is rotational inertia?Any item that can be rotated has the property of rotational inertia. It is a scalar value that indicates how challenging it is to alter an object's rotational velocity around a certain rotational axis. The role of mass in linear mechanics is analogous to that of rotational inertia in rotational mechanics. Because it measures moment of inertia as it is rotating, this property is also known as rotational inertia. A measurement of an object's resistance to changes in its angular velocity is called rotational inertia. Imagine turning an item with a specific torque. As the torque is being applied, measure the angular acceleration. The rotational inertia of the item increases as the resultant angular acceleration decreases.
Here,
The major calculations are attached in image.
Moment of Inertia of plate passing through O is I = Ma²/12
and, ly = Mb²/12
by perpendicular axis theorem I2 = Ma²/12+Mb²/12
The distance of edge and the center is d = √(a²+b²)/4
So by parallel axis theorem, IA = Ma²/12+ Mb²/12 + Md² = M(a²+b²)/3
M(a²+b²)/3 is the rotational inertia of the block about a rotating axis passing through one of its corners and perpendicular to its large faces.
To know more about rotational inertia,
https://brainly.com/question/22513079
#SPJ4
Kaitlynn needs 3 pounds of fruit for a salad.
She already has 3/4 pounds of apples and 1/3 pounds of grapes.
How many more pounds of fruit does she need to buy?
answer:
1.92 pounds or 23/12 lb
step-by-step explanation:
first convert 3/4 and 1/3 to fractions that have the same denominator such as 9/12 and 4/12. then add the two numbers together and subtract it by 3 to get the answer. hope that helps!
Use the Distributive Property to write an expression equivalent to 0.4(-5-7y-13.8).
Answer:
-2.8y-7.52
Step-by-step explanation:
multiply 0.4 by each of the numbers in the parentheses then simplify
Answer: -2.8y-7.52
Step-by-step explanation:
(14+ 8²︎) ÷ 2 - 10
Help on this please
Answer:
29
Step-by-step explanation:
(14+8²︎) ÷ 2 - 10
(14+64) ÷ 2 - 10
(78) ÷ 2 - 10
39 - 10
29
Could you please mark me brainliest for this? Thank you!
During a certain period of time, 2,000 penguins had an annual growth rate of 19%. What will the population of penguins be after 5 years?
sketch the nyquist plot based on the bode plots for each of the following systems , and then compare your results whit that obtained by using the matlab command nyquist : dont be concerned with the details of exactly where the curve goes , but do make sure it crosses the real axis at the right spot , has the correct number of -1 encirclements and goes off to infinity in the correct direction. A). >KG ( s) a= K( s+2 ) / s + 10 B.>KG ( s) = K / ( s + 10 )(s+2)2 C).>KG ( s) = K (s+10)(s+10) / (s+100)(s+2)3 D). Usinng your plots , estimate the range of k for which each system is stable , and qualitatively verif your result by using a rough sketch of a root locus plot.
Sketching the nyquist plot based on the bode plots for the mentioned systems require a certain understanding of bode plots explained in detail.
What do you understand by bode plots?In reality, Bode plots are a collection of graphs that display a system's frequency response. This system might be any system (not simply a circuit!) that changes its behavior when its frequency (cycles per second) changes.
Frequency Response simply describes how our system will alter in response to a specific input frequency. This collection of notes will be referred to as our input frequency.
Bode charts often have two graphs. We'll refer to one as the magnitude plot and the other as the phase angle plot.
We'll need something initially called a transfer function. Typically represented as H(s) or H(j). A transfer function often equates to the ratio of the output to the input.
A). >KG ( s) a= K( s+2 ) / s + 10 B.>KG ( s) = K / ( s + 10 )(s+2)2 C).>KG ( s) = K (s+10)(s+10) / (s+100)(s+2)3 D)
In order to learn more about bode plots, visit:
https://brainly.com/question/28565991
#SPJ4
Which ordered pairs lie on the graph of the exponential function f(x)=3(14)x? Select each correct answer. (1, 0.75) (-3,-192) (0,1) (-1,12)
The ordered pair that lie on the graph of the exponential function f(x)=3(14)ˣ is (-1, 12)
What is exponential graph?A curve that depicts an exponential function is known as an exponential graph.
The curve have a horizontal asymptote and either an increasing slope or a decreasing slope. this is to say that the curve begins as a horizontal line, increases or drops gradually, and then the growth or decay accelerates. It may or may not cut the x-axis, but it always cuts the y-axis at some point.
An exponential graph will almost always have a y-intercept but not necessarily an x-intercept.
The given function was plotted on a graph and the point that lie on the graph is (-1, 12).
the point (-3,-192) is way out of the graph
Learn more about exponential function here:
https://brainly.com/question/12626186
#SPJ1
a right triangle has legs measuring 20 inches and 21 inches. what is the length of the hypotenuse, in inches?
Answer: 29 inches.
Step-by-step explanation:
The formula to find the hypotenuse is a^2 + b^2 = c^2.
20^2= 400, and 21^2=441. Together, it was 841. Square root that, and your answer is 29.
-
a^2 + b^2 = c^2
20^2 + 21^2 = c^2
400 + 441= c^2
881 = c^2
29=29
Please help!!! Needs done by tomorrow
The population of the small town in 2025 is 22234
How to determine the population in 2025?The given parameters in the question are
Initial population =24597Rate of decay = 2%These parameters can be represented as
a = 24597
r = 2%
The equation of the function can be represented as
P(t) = a(1 - r)^t
So, we have
P(t) = 24597 * (1 - 2%)^t
In 2025, we have
Year = 2025
This means that
t = 2025 - 2020
So, we have
t = 5
Substitute t = 5 in P(t) = 24597 * (1 - 2%)^t
P(5) = 24597 * (1 - 2%)^5
Evaluate the expression
P(5) = 22234
Hence, the population is 22234
Read more about exponential functions at
brainly.com/question/11464095
#SPJ1
an open-top box is to be made by cutting small congruent squares from the corners of a 12- in.-by-12-in. sheet of tin and bending up the sides. how large should the squares cut from the corners be to make the box hold as much as possible? what are the dimensions of the box with the largest volume?
The squares cut from the corners should be large in width and length 6 to hold the box as much as possible. The dimensions of the box with the largest volume are 6 x 6.
If the squares cut from the corners are h × h inches
The open-top box will have
A height of h
A width of 12 - 2h
and a length of 12 - 2h
So its volume will be
V(h) = h × (12 - 2h) × (12 - 2h)
= 4h³ - 48h² + 144h (square inches)
dV/dh= 12h² - 96h + 144
Critical points occur when the derivative (dV/dh) is zero.
12h² - 96h + 144 = 0
h² - 8h + 12 = 0
(h − 2)(h − 6) = 0
It is clear that h = 6 is not the crucial point for the maximum as it would produce widths and lengths of zero (and so a volume of zero).
In order to cut out squares measuring 6 × 6 inches from the corners of the bigger sheet, the most volume may be obtained.
To learn more about volume
https://brainly.com/question/1578538
#SPJ4
if gear \text{a}astart text, a, end text is rotated by the motor at a rate of 100 \text{ rpm}100 rpm100, start text, space, r, p, m, end text, what is the number of revolutions per minute for gear \text{c}cstart text, c, end text ?
The number of revolution per minute for Gear C is 200 rpm
It is given that
The gear ratio r:s is ratio of number of teeth of two connected gear
Also , the gear A is rotated at rate of = 100rpm
Since, Gear A has 20 teeth and Gear B has 60
Ratio = r : s
=> 20 : 60
=> 1 : 3
Thus , the ratio of number of revolution per minute for two gear is s:r
=> 3 : 1
Means Gear A turns at 3 rpm , Gear B turns at 1 rpm
Similarly , for Gear B and Gear C
The ratio of rpms for these two will be =>
10 : 60
=> 1 : 6
That is , when Gear B turns at 1rpm , Gear C turns at 6rpms
Therefore, If Gear A turns at 100 rpms
the Gear B turns at = 100/3 rpms
Hence , Gear C turns at = 100/3 × 6
=> 200 rpms
I've answered the question in general as the question is incomplete
To know more about Ratio here
https://brainly.com/question/13419413
#SPJ4
how long will it take for the population of a small town with 500 people to double in size if the population increases at a rate of 15% per year
The small town would take up 5 years to double the population from 500 people.
What is percentage ?As its sign is "%," the word "percent" implies "for every hundred". Since it is read as a percentage, "x%" should be read as "x percent." So, a percent is a fraction with a denominator of 100. 30%, for instance, equals 30/100 (i.e. 30 parts from 100). You can also write this as 0.30.
Population of small town = 500
Population Growth rate = 15 %
To find :
Time when the population is doubled.
We will use successive change
500 People after 1 year = 575
575 People after 1 year = 661.25
661.25 People after 1 year = 760.4375
760.4375 People after 1 year = 874.503125
874.503125 People after 1 year = 1005.67859
Hence it will total take the time of 5 years to double the population.
To learn more about Percentage, visit:
https://brainly.com/question/29306119
#SPJ4
ways 3 people can divide a 10 segment into a equal amount of shares
The number of ways to divide the shares into 10 equal segments is 120
How to determine the to divide the shares into equal segments?from the question, we have the following parameters that can be used in our computation:
Total number of segments, n = 10
Numbers to people, r = 3
The number of ways of dividing the segment is then calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 10 and r = 3
Substitute the known values in the above equation, so, we have the following representation
Total = ¹⁰C₃
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have the following representation
Total = 10!/7!3!
Evaluate the quotient
Total = 120
Hence, the number of ways is 120
Read more about combination at
brainly.com/question/11732255
#SPJ1
Find the radius of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 12.
A right circular cylinder with the largest volume that can fit inside a sphere with a radius of 12 has a radius of √7238/πh units.
What is a right circular cylinder?The right circular cylinder is a cylinder with circular bases that are parallel to one another.
Three dimensions make up its form.
The two bases of the cylinder are joined at their centers by the cylinder's axis.
Sphere:
A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same distance from a single point.
The radius of the right circular cylinder will be:
The formula for the volume of a sphere: V = 4/3πr²
Now, substitute r = 12 as shown:
V = 4/3πr²
V = 4/3π12²
V = 4/3π144
V = 7238.22947
Rounding off: 7238 units³
Nw, the formula for the volume of a right circular cylinder:
V = πr²h
Substitute V = 7238 and calculate for r as follows:
V = πr²h
7238 = πr²h
r² = 7238/πh
r = √7238/πh
Therefore, a right circular cylinder with the largest volume that can fit inside a sphere with a radius of 12 has a radius of √7238/πh units.
Know more about the right circular cylinder here:
https://brainly.com/question/2762448
#SPJ4
best answer gets brain award thing!
Look at the point in which the x-value is equal to -1
k(-1) = 7
a 2.2 GB game is being downloaded onto your laptop. When you have downloaded half a gigabyte, you notice that your computer has been downloading at a rate of .01GB/min. Write an inequality that represents at least how many minutes it will take to download the whole game.
The inequality that represents at least how many minutes it will take to download the whole game
is x ≥ (2.2 - 0.5)/0.01
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
In this scenario, 2.2 GB game is being downloaded onto your laptop and when you have downloaded half a gigabyte, you notice that your computer has been downloading at a rate of .01GB/min.
The inequality will be illustrated. Let the number of minutes be x.
x ≥ (2.2 - 0.5)/0.01
This illustrates the inequality.
Learn more about inequalities on:
brainly.com/question/25275758
#SPJ1
Which represents a side length of a square that has an area of 450 square inches?15 startroot 2 endroot inches in. 16 startroot 3 endroot inches in. 112. 5 in. 115. 5 in.
Using the area formula of the square we know that (A) 15√2 in inches represents a side length of a square that has an area of 450in².
What is the area?A shape's area can be calculated by contrasting it with squares of a known size.
The square meter (abbreviated as m2), which is the area of a square whose sides are one meter long, is the common unit of area in the International System of Units (SI).
Three such squares would be the same size as a form with a three-square-meter area.
The area of any other shape or surface is a dimensionless real number, and the unit square is defined in mathematics to have area one.
So, the area of the square:
A = b²
Where B is the square's long side.
A = 450in²
A = b²
b² = 450
b = √450
b = 15√2 in
Therefore, using the area formula of the square we know that (A) 15√2 in inches represents a side length of a square that has an area of 450in².
Know more about the area here:
https://brainly.com/question/25292087
#SPJ4
Correct question:
Which represents a side length of a square that has an area of 450 square inches?
a. 15 start root 2 end root inches in.
b. 16 start root 3 end root inches in.
c. 112. 5 in.
d. 115. 5 in.
Write the rule for the mapping, x =,1,2,3,4 and y= 1,3,5,7
Answer: y=2x-1
Step-by-step explanation:
(1,1) (2,3) (3,5) (4,7)
1=2(1)-1
3=2(2)-1
5=2(3)-1
7=2(4)-1
a circle has a radius of 8 what is its circumference do not round
Please help me!
Answer:
C = 50.27
Step-by-step explanation:
Hope this helps!
Answer:
C = 16 pi
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi * r
C = 2 * pi * 8
C = 16 pi
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
16 ft to 36 ft
Answer:
Step-by-step explanation:
The easiest way to do this is to clear the decimal by multiplying the numerator and the denominator by
10
.
You can reduce the fraction later.
40
m
48
m
2) Reduce the fraction to its simplest form
Cancel out
8
from the top and the bottom
5
m
6
m
←
answer
This answer means that the numerator and denominator of the given fraction
4
m
4.8
m
are in a
5
:
6
ratio relationship with each other.
Check
Is
4
4.8
equal to
5
6
?
Cross multiply
(
4
)
(
6
)
should be equal to
(
5
)
(
4.8
)
24
is equal to
24.0
C
h
e
c
k
please help me asap it would help alot
if a woman's first child is a girl and her second child is also a girl, what is the probability that her third child would be a girl?
The probability that her third child would be a girl is 50%.
Probability:
In math probability means the possible of happening a particular event amount the total number of event.
Given,
Here we need to find if a woman's first child is a girl and her second child is also a girl, what is the probability that her third child would be a girl.
We already know that, there are two sex chromosomes X and Y.
And in the humans are diploid having two sex chromosomes, in females a pair of the X chromosome is found while in males an X and Y chromosome is present.
So, there is 50% chance that the subsequent child is going to be a girl because it entirely depends upon the chromosome of the sperm which fertilizes the ovum.
For each pregnancy features a 50% chance of leading to a boy or girl and this doesn't include the likelihood of multiples.
Here already having 2 girls previously doesn't affect the probabilities of any resulting pregnancy.
Therefore, the prospect of getting a girl remains at 50%.
To know more about Probability here,
https://brainly.com/question/11234923
#SPJ4
Ignoring resistance, a sailboat starting from rest accelerates (dv/dt) at a rate proportional to the difference between the velocities of the wind and the boat. (a) The wind is blowing at 20 knots, and after 1 half-hour, the boat is moving at 10 knots. Write the velocity v as a function of time t. (b) Use the result of part (a) to write the distance traveled by the boat as a function of time.
V=Vw-ce^-kt is the velocity V as a function of time t when wind is blowing 20 knots and after 1 half hour the boat moves at 10 knots
What is acceleration?Acceleration is a vector quantity that is defined as the rate at which an object's velocity varies. When an object's velocity changes, it is said to be accelerating.
On occasion, sports broadcasters will suggest that a person is accelerating if they are traveling quickly. But speed has nothing to do with acceleration. Even while traveling very quickly, a person may not be accelerating. Changing the speed at which an item is travelling is what acceleration is all about. A substance is not accelerating if its velocity is not changing. The information on the right depicts an object that is speeding as it moves northward. Throughout time, the velocity is shifting. Every second, the velocity is changing by a fixed amount of 10 m/s.
How to solve?
Based on the information from the exercise, we have the equation:
dt/dv=k(Vw−V)
where V is velocity of the boat in knots/hour, tt is time in hours, Vw is velocity of wind.
This equation can be written:
dv/dt = k(Vw -V)
dv/Vw-V =kdt
Now, the variables are separated, tt appears only on the right side, and v only on the left. Integrate the left side in relation to v, and the right side in relation to t:
dv/Vw-V =kdt
∫dv/Vw-V =∫kdt
let Vw -V = u
-dv=du
dv= -du
∫-du/u =k∫dt
-ln|u| =kt +C
-ln|Vw-V| = kt + C
V=Vw-ce^-kt
To learn more about acceleration, visit:
https://brainly.com/question/16988929
#SPJ4
x + 2y = −4 please hurry
Answer:
x = -2y - 4
Step-by-step explanation:
x + 2y = -4
Subtract 2y from both sides.
x = -4 - 2y
Answer:
x = 2
this is the answer hope u pass