Answer:
hello
Step-by-step explanation:
i think diameter is 13 cm
but radius is equal to 13/2=6,5cm
hope it helps
have a nice day
bye
PLEASE HELP ASAP IM FREAKING OUT
Answer:
30 cm
Step-by-step explanation:
Make sure all units are the same!
P = Perimeter
A = Area
Formula used for similar figures:
\(\frac{A_{1}}{A_{2}} = (\frac{l_{1}}{l_{2}})^{2}\) —- eq(i)
\(\frac{P_{1}}{P_{2}} = \frac{l_{1}}{l_{2}}\) ———— eq(ii)
Applying eq(ii):
∴\(\frac{25}{P_{2}} = \frac{10}{12}\)
Cross-multiplication is applied:
\((25)(12) = 10P_{2}\)
\(300 = 10P_{2}\)
\(P_{2}\) has to be isolated and made the subject of the equation:
\(P_{2} = \frac{300}{10}\)
∴Perimeter of second figure = 30 cm
In a circle of radiu 28 cm and arc obtained an angle of 45 degree at the centre then the length of Arc i
The length of the arc will be 22 cm.
Length of the radius 'r'= 28 cm
central angle 'a' in degrees = 45
The formula for length of arc is 2πra÷360
The standard value of pie that we take is 22÷7
so after putting all the given values, we get,
2×22/7×28×45 = 22cm.
Radius is any line that we draw from the centre of the circle to its outside edge.
Arc is the part of the circle's circumference.
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Solve for x.
3x – 4(4x – 8) = 3(- 8x - 1)
Answer:
x=-35/11
Step-by-step explanation:
3x-4(4x-8)=3(-8x-1)
3x-16x+32=3(-8x-1)
-13x+32=-24x-3
-32 -32
-13x=-24x-35
+24x +24x
11x=-35
/11 /11
x=-35/11
Unit 3:
3. The heights of adult women are approximately normally distributed about a mean of 65 inches with a standard deviation of 2 inches. If Rachel is at the 99th percentile in height for adult woman, then her height, in inches, is closest to
(A) 60
(B) 62
(C) 68
(D) 70
(E) 74
For the given Problem, The correct option giving Rachel's height in inches is (D) 70.
What does "z-score" mean?A z-score, also called standard score, can be used to measure- how much an observation or data point deviates from the mean of the distribution. By Subtracting the mean of the given distribution from the observation and after that dividing it by the standard deviation will give us the z-score for given observations.
Given:
Mean height (μ) = 65 inches
Standard deviation (σ) = 2 inches
Percentile (P) = 99%
The Z-score, commonly known as the standard score, helps in quantifying how much a data point deviates from the mean. It can be computers as:
\(Z = (X - \mu) / \sigma\)
where X is the value of the data point.
We can rearrange the equation to solve for X:
\(X = Z * \sigma + \mu\)
We may use a regular normal distribution table or a Z-table to obtain the Z-score corresponding to the 99th percentile. The Z-score for the 99th percentile is roughly 2.33.
\(X = 2.33 * 2 + 65\\\\X = 4.66 + 65\\\\X = 69.66\\\\{X}\;\approx70\; inches\)
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can someone pls help!!
Answer:
see screenshot 1.
feel free to copy the graph.
f(0)=-5
notice that anything to the power of zero is one (because its dividing by itself). so we are left with A, -5
f(1)=-10
notice that anything to the power of 1 is just itself, so we multiply-5 by 2 here
A is negative, so the graph will be facing down
the value of B is is greater than 1, meaning the graph will be growing [down].
Part B
see screenshot 2 everything is flipped over the y-axis
Part C
see screenshot 3. remember what "to the power of zero" and "to the power of one" means
hope it helps. greetings from Europe
If everyone in a class scored 100 on a quiz, what is the standard deviation of quiz scores?
The standard deviation of quiz scores is 0.
What is the standard deviation?The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values of the set tend to be close to the mean (also known as the expected value), whereas a high standard deviation indicates that the values are spread out over a larger range.To find the standard deviation:
Let, the number of students = nx = 100Mean = n×x/n=xVariance = \(\frac{\sum(\bar{x}-x)^2}{n}\)Variance = (x₁ - x)² + (x₂ - x)² + (x₃ - x)²/nV = 0Standard variance = √0Therefore, the standard deviation of quiz scores is 0.
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a chess board is made using the ratio of square length to king's height, 3.5 inches to 4.5 inches. if a chess board is made with a king's height of 2.25 inches, what is the length of the square? 4.05 inches 2 inches 1.8 inches 1.75 inches
If the chess board is made with the height of the king the length of the square is going to be 1.75 inches
What is ratio?This is the term that is used to refer to the relationship that is in existence between two independent amounts.
The ratio is given as
3. 5 = 4.5 inches
? = 2.25
The unknown that we are to solve for here would be the value of the height of the king. This is to be gotten when we have to use the cross multiplication
2.25 * 3.5 = 4.5?
7.875 = 4.5?
divide through by 4.5
? = 7.875 / 4.5
= 1.75
Hence the length of the square is 1.75 inches.
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Aiden is a taxi driver.
m(n)m(n)m, left parenthesis, n, right parenthesis models aiden's fee (in dollars) for his n^\text{th}n
th
n, start superscript, start text, t, h, end text, end superscript drive on a certain day.
what does the statement m(8)
There is a taxi driver Aiden and he uses M(n) model to determine the money he earned from each drive. As n stands for the drive number, the statement M(8)<M(4) means that Aiden's fee for the \(8^t^h\) drive is less than for his \(4^t^h\) drive.
We know that Aiden is a taxi driver and he uses his M(n) model to find the amount he earned from each drive. In his M(n) model n signifies the drive number.
Given that M(8)<M(4):
In the above statement, M(8) stands for the \(8^t^h\) drive of Aiden, and M(4) stands for the \(4^t^h\) drive of Aiden.
By using his M(n) model, we can conclude the statement M(8)<M(4) that Aiden earned more money for his \(4^t^h\) drive than he earned for his \(8^t^h\) drive.
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The complete question is:
Aiden is a taxi driver.
M(n) models Aiden's fee (in dollars) for his \(n^t^h\)drive on a certain day.
What does the statement M(8)<M(4), mean?
Consider the nonlinear DE dt 2 (-1) a) Classify the equilibrium solutions of this DE as stable, semistable, or unstable. b) Suppose y(t) is a solution to this DE such that y(0)- Determine lim yt), if this limit exists.
a. The equilibrium solution (y = 0) is stable.
b. The limit of \(\( y(t) \)\) as \(\( t \)\) approaches infinity is 0.
What is differentiation?A function's derivative with respect to an independent variable is what is referred to as differentiation. In calculus, differentiation can be used to calculate the function per unit change in the independent variable. Let y = f(x) represent the function of x.
The nonlinear differential equation is given as:
\(\( \frac{{dy}}{{dt}} = -y^2 \)\)
a) Classifying Equilibrium Solutions:
To find the equilibrium solutions, we set the derivative equal to zero:
\(\( -y^2 = 0 \)\)
The only solution is (y = 0). Therefore, the equilibrium solution is (y = 0).
To classify the stability of the equilibrium solution, we examine the sign of the derivative \(\( \frac{{dy}}{{dt}} \)\) around the equilibrium point.
For \(\( y < 0 \), \( \frac{{dy}}{{dt}} > 0 \)\), indicating that the function is increasing and moving away from the equilibrium solution.
For \(\( y > 0 \), \( \frac{{dy}}{{dt}} < 0 \)\), indicating that the function is decreasing and moving towards the equilibrium solution.
Hence, the equilibrium solution (y = 0) is stable.
b) Determining the Limit:
Given that \(\( y(0) = 2 \)\), we need to determine the limit of \(\( y(t) \) as \( t \)\) approaches infinity, if it exists.
The differential equation \(\( \frac{{dy}}{{dt}} = -y^2 \)\) can be separated and solved:
\(\( \frac{{dy}}{{y^2}} = -dt \)\)
Integrating both sides:
\(\( \int \frac{{dy}}{{y^2}} = -\int dt \)\)
\(\( -\frac{1}{y} = -t + C \)\)
Simplifying, we have:
\(\( \frac{1}{y} = t + C \)\)
Rearranging the equation:
\(\( y = \frac{1}{t + C} \)\)
Since we are given \(\( y(0) = 2 \)\), we can substitute this into the equation to find the value of (C):
\(\( 2 = \frac{1}{0 + C} \)\)
Solving for \(\( C \)\), we get \(\( C = \frac{1}{2} \)\).
Therefore, the solution to the differential equation is:
\(\( y = \frac{1}{t + \frac{1}{2}} \)\)
Taking the limit as (t) approaches infinity:
\(\( \lim_{{t \to \infty}} \frac{1}{t + \frac{1}{2}} = 0 \)\)
Hence, the limit of \(\( y(t) \)\) as \(\( t \)\) approaches infinity is 0.
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Which one of the following is used in predictive analytics? a. Data visualization b. Linear regression c. Data dashboard d. Optimization model
Linear regression is a statistical tool used in predictive analytics to identify the relationship between a dependent variable and one or more independent variables.
Linear regression is a statistical technique used in predictive analytics to identify the relationship between a dependent variable and one or more independent variables. It is used to predict future outcomes by analyzing data from the past. It works by fitting a linear equation to the data, which is then used to estimate the value of the dependent variable for any given combination of values of the independent variables. The linear equation is constructed by finding the line of best fit through the data points. Linear regression can be used to identify trends and patterns in the data, and to make predictions about future outcomes. It is a powerful tool for predicting the future, and can be used to make informed decisions about how to best use resources.
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Find the missing length. = √ [?] 9 C C= 10 Pythagorean Theorem: a2 + b² = c²
The value of the missing length is c = √181
How to determine the missing length?From the question, we have the following parameters that can be used in our computation:
Legs = 9 and 10
Hypotenuse = c
The missing length of the triangle can be calculated using the Pythagorean Theorem represented as a² + b² = c²
So, we have the following equation
c² = 9² + 10²
Evaluate the sum of squares
c² = 181
Take the square root of both sides
c = √181
Hence, the missing length is c = √181
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1. Jorge used 2 7/8 packs of pencils in the first 1/3
of the year. At what rate is Jorge using
pencils
Answer:
Jorge is using pencils at a rate of 6 packs a year or a rate of 2 packs every four months.
Step-by-step explanation:
1/3 of a year is four months so that would be 2 packs every four months and if you multiply that by three you’d get 12 month, or one year, and 6 packs of pencils.
what will it be after n hours? here is an image to help. thanks! :)
it will be n*2+20
Hope this helps! :D
What do the specific types and sequence of amino acids determine the structure and function of?proteinsstarchesnucleic acidslipids
Answer:
Protein structure and function are governed by the exact types and order of amino acids. The arrangement of glucose molecules in starch determines both its structure and its purpose. The particular nucleotide sequence governs the structure and functionality of nucleic acids, such as DNA and RNA. Contrarily, the arrangement of fatty acid chains and other components determines lipids rather than the order of amino acids directly.
what is integral of 1/square root of (a^2 - x^2)
For the given problem, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\) is \($\sin^{-1}\frac{x}{a} + C$.\)
What is an 'integral' in mathematics?A mathematical notion that depicts the area under a curve or the accumulation of a quantity over an interval is known as an integral. Integrals are used in calculus to calculate the total amount of a quantity given its rate of change.
The process of locating an integral is known as integration. Finding an antiderivative (also known as an indefinite integral) of a function, which is a function whose derivative is the original function, is what integration is all about. The antiderivative of a function is not unique since it might differ by an integration constant.
For given problem,
\($\int \frac{1}{\sqrt{a^2-x^2}} dx$\)
Let \($x = a \sin\theta$\) , then \($dx = a \cos\theta d\theta$\)
\($= \int \frac{1}{\sqrt{a^2-a^2\sin^2\theta}} a\cos\theta d\theta$\)
\($= \int \frac{1}{\sqrt{a^2\cos^2\theta}} a\cos\theta d\theta$\)
\($= \int d\theta$\)
\($= \theta + C$\)
Substituting back for\($x = a\sin\theta$:\)
\($= \sin^{-1}\frac{x}{a} + C$\)
Therefore, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\) is \($\sin^{-1}\frac{x}{a} + C$.\)
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the point (-12,5) lies on the circle whose center is at the origin. what is the radius of this circle?
The radius of the circle is 13.
To find the radius of the circle with the center at the origin and passing through the point (-12, 5), we can use the distance formula.
The distance formula between two points (x1, y1) and (x2, y2) is given by:
Distance = √[(x2 - x1)² + (y2 - y1)²]
In this case, the center of the circle is at the origin (0, 0), and the given point is (-12, 5). Plugging these values into the distance formula, we get:
Distance = √[(-12 - 0)² + (5 - 0)²]
= √[(-12)² + 5²]
= √[144 + 25]
= √169
= 13
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Find the volume of each figure.
Answer:
891
Step-by-step explanation:
v=bh which is base-9x11=99 height=9 so,
v-99x9=891
What is the area of a regular hexagon with an apothem of 28m in length
Step-by-step explanation:
can you check again the question , seems like something is missing.
Explain why an elevator with 3 people in it is less dense with an elevator with 50 people in it
Answer:
it has a lower mass/volume ratio
Step-by-step explanation:
Density is the ratio of mass to volume. An elevator will have the same volume, regardless of the number of people. The mass will increase with the number of people.
An elevator with 50 people in it will have a higher mass/volume ratio than an elevator with 3 people in it. Hence the latter is less dense.
__
Additional comment
50 persons would require an industrial elevator of perhaps 10,000 pound load capacity. There might be safety issues with carrying that many people.
suppose nine pairs of similar-looking boots are thrown together in a pile. what is the minimum number of individual boots that you must pick to be sure of getting a matched pair? why? since there are 9 pairs of boots in the pile, if at most one boot is chosen from each pair, the maximum number of boots chosen would be . it follows that if a minimum of boots are chosen, at least two must be from the same pair.
the minimum number of individual boots that must be picked to be sure of getting a matched pair is 2.
Since there are 9 pairs of boots in the pile, we can determine that each pair has two boots. If at most one boot is chosen from each pair, the maximum number of boots chosen would be 18.
To guarantee that a matched pair of boots is chosen, we must pick at least two boots from the pile, one from each boot of the same pair. Therefore, the minimum number of individual boots that must be picked to be sure of getting a matched pair is 2.
Number of pairs of boots in the pile = 9
Number of boots in each pair = 2
Maximum number of boots that can be chosen = 9 x 2 = 18
Minimum number of boots required to guarantee a matched pair = 2
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a line with slope 2 intersects a line with slope 6 at the point (40, 30). what is the distance between the x-intercepts of these two line
The distance between the x-intercepts of these two line is 10 units.
Given that,
These two lines' x-intercepts are separated by 10 units.
Equation of the line with slope 2 is
y-30/x-40 = 2
For x intercept put y = 0,
then
-30/x-40 =2
x =25
Equation of the line with slope 6 is
y-30/x-40 =6
For x intercept put y = 0,
then
-30/x-40 =6
x =35
Distance between x-intercepts of these two lines is difference of the two intercepts i.e,
D = 35-25 = 10.
Thus, the distance between the x-intercepts of these two line is 10 units.
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The proportion of people who respond to a certain mail-order solicitation is a random variable X having the following density function. f(x)={
3
2(x+1)
,
0,
0
elsewhere
Find σ
g(X)
2
for the function g(X)=4X
2
+2 σ
g(X)
2
= (Round to three decimal places as needed.)
To find σg(X)^2, we need to calculate the variance of the function g(X) = 4X^2 + 2, where X is a random variable with a given density function. The density function is defined as f(x) = (3/2)(x + 1) for 0 ≤ x and 0 elsewhere. By calculating the variance of g(X), we can determine the value of σg(X)^2.
To calculate the variance of g(X), we first need to find the mean of g(X), denoted as E[g(X)]. For a continuous random variable, the mean is calculated as the integral of the function multiplied by the density function. In this case, we have:
E[g(X)] = ∫(4X^2 + 2) * f(x) dx
Substituting the given density function, we have:
E[g(X)] = ∫(4X^2 + 2) * (3/2)(X + 1) dx
After simplifying and evaluating the integral, we can find the value of E[g(X)].
Next, we calculate the variance of g(X), denoted as Var[g(X)]. The variance is calculated as the expectation of the squared difference between g(X) and its mean, E[g(X)]^2. In mathematical terms:
Var[g(X)] = E[(g(X) - E[g(X)])^2]
By substituting the values of g(X) and E[g(X)], we can evaluate this expression and find the value of Var[g(X)].
Finally, to find σg(X)^2, we take the square root of Var[g(X)], i.e., σg(X) = √Var[g(X)]. After calculating Var[g(X)], we can determine the value of σg(X) to three decimal places as needed.
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Which expression represents 5-3(-4n + 2) + 8n in simplest form?
Answer:
20n-1
Step-by-step explanation:
you really just multiply and get the like terms yk
A vending machine at City Airport dispenses hot coffee, hot chocolate, or hot tea, in a constant service time of 20 seconds. Customers arrive at the vending machine at a mean rate of 60 per hour (Poisson distributed). Determine the operating characteristics of this system.
Which type of queuing problem is this?
a) Finite Population
b) Undefined Service Rate
c) Multi-Server
d) Finite Que
e) Constant Service Rate
f) Simple Single Server
The given problem involves Simple Single Server queuing model.In the given problem, a vending machine at City Airport dispenses hot coffee, hot chocolate, or hot tea, in a constant service time of 20 seconds. Customers arrive at the vending machine at a mean rate of 60 per hour (Poisson distributed).
The operating characteristics of this system can be determined by using the following formulas:Average Number of Customers in the System, L = λWwhere, λ= Average arrival rateW= Average waiting timeAverage Waiting Time in the System, W = L/ λProbability of Zero Customers in the System, P0 = 1 - λ/μwhere, μ= Service rateThe given problem can be solved as follows:Given that, λ = 60 per hourSo, the average arrival rate is λ = 60/hour. We know that the exponential distribution (which is a Poisson process) governs the time between arrivals. Therefore, the mean time between arrivals is 1/λ = 1/60 hours. Therefore, the rate of customer arrivals can be calculated as:μ = 1/20 secondsTherefore, the rate of service is μ = 3/hour.
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Find the straight line distance between the two points. Round your answer to the nearest tenth
The distance between the two points is √2 units
What is Distance?The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
From the graph the two points are at (2, 4) and (3,3)
We have to find the distance between two points.
The formula for distance is Distance=√(x₂-x₁)²+(y₂-y₁)²
=√(3-2)²+(3-4)²
=√1+1
=√2 units
Hence, the distance between the two points is √2 units
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Calculate the average rate of change forf(x) = 8x + 2from x to x + h.
\(slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)=8x+2 \qquad \begin{cases} x_1=x\\ x_2=x+h \end{cases}\implies \cfrac{f(x+h)-f(x)}{(x+h)-x} \\\\\\ \cfrac{[8(x+h)+2]~~ -~~[8x+2]}{h}\implies \cfrac{[8x+8h+2]-8x-2}{h} \implies \cfrac{8h}{h}\implies 8\)
A square is a type of ___________.
Answer:
square is a type of ___________.
Step-by-step explanation:
Polygons
Type the missing numbers in this sequence:
-101, -105,
-109,
-117
Answer:
The answer is - 113 that is the correct answer skipping in three's and the first one is - 97
Answer:
-97, -101, -105, -109, -113, -117
Step-by-step explanation:
the order was add -4 each time
All angles in the figure at the right are right angles what is the agree of the figure
F.14
G.18
H.28
I.36
Answer:
Ans: 36
Step-by-step explanation:
just separate it into three rectangles and use the formula
A=l*b
and at last add all of them
AB = 6cm , AC = 12cm. Calculate the length of CD
Give your answers to 3 significant figures
Answer:
6cm , 12cm
Step-by-step explanation: