what is the greatest common factor of 16 and 28
Andre Drew a plan of a courtyard at a scale of 1 to 60 on his drawing one side of the car Courtyard Is 75 inches. If I Andre Made another courtyard scale drawing is a scale of 1 to 12 what destroying be smaller or larger than the first the drawing
Answer: hey girl hal is north west west of north west west north west of north north
Step-by-step explanation:
in how many years will Rs.1200 at the rate of 15% interest amount to Rs. 1740
Find the interest amount.
\(I=1740-1200=540\)
Use the formula for simple interest.
\(I=prt/100\)
Solve for t.
\(540=1200 \times 15\% \times t\)
\(540=1200 \times \frac{15}{100} \times t\)
\(540=180t\)
\(t=\frac{540}{180}\)
\(t=3\)
3 years.The number of years will be 3 for Rs.1200 at the rate of 15% interest amounting to Rs. 1740.
Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific amount of time.
Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to calculate interest, the principal amount in simple interest remains constant.
Given that Rs.1200 at the rate of 15% interest amount to Rs. 1740. The number of years will be calculated as:-
SI = ( P x R x T ) / 100
1740 - 1200 = ( 1200 x 15 x T ) / 100
T = ( 540 x 100 ) / ( 1200 x 15)
T = 3 years
Hence, the time will be 3 years.
To know more about simple interests follow
https://brainly.com/question/25793394
#SPJ2
In a random sample of 200 school district residents, 94 stated they are in favor of starting the school day 15 minutes later each day. Calculate a 90% confidence interval for the true proportion of district residents who are in favor of starting the day later
The 90% confidence interval for the proportion of district residents in favor of starting the school day 15 minutes later is (0.392, 0.548). The true proportion is estimated to lie within this interval with 90% confidence.
To calculate the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later, we can use the following formula:
CI = p ± z*(√(p*(1-p)/n))
where:
CI: confidence interval
p: proportion of residents in favor of starting the day later
z: z- score based on the confidence level (90% in this case)
n: sample size
First, we need to calculate the sample proportion:
p = 94/200 = 0.47
Next, we need to find the z- score corresponding to the 90% confidence level. Since we want a two-tailed test, we need to find the z- score that cuts off 5% of the area in each tail of the standard normal distribution. Using a z-table, we find that the z- score is 1.645.
Substituting the values into the formula, we get:
CI = 0.47 ± 1.645*(√(0.47*(1-0.47)/200))
Simplifying this expression gives:
CI = 0.47 ± 0.078
Therefore, the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later is (0.392, 0.548). We can be 90% confident that the true proportion lies within this interval.
Learn more about the confidence interval here: brainly.com/question/24131141
#SPJ4
PLEASE HELP MEEE PLEASEEEE
9514 1404 393
Answer:
x³ +9x² +27x +27
Step-by-step explanation:
Put x where 'a' is, and put 3 where 'b' is in the given pattern, then simplify.
(x +3)³ = x³ +3x²(3) +3x(3²) +3³
= x³ +9x² +27x +27
Part A). Emily participates in a trivia quiz show. In each round, 20 points are awarded for a correct answer and 10 points are deducted for an incorrect answer. Part B). Emily answer 4 questions correctly and 11 incorrectly in the first round what was her score in the first round? Emily answer'd 7 questions correct and 8 incorrect in the second round what was her score in the second round.
Answer
A. -30 points
B. 60 points
Step-by-step explanation:
20 points for correct answer and 10 points deducted for wrong answer
Each deduction is -10 while each correct answer gives + 20
4 questions correctly and 11 incorrectly
= 4(20) + 11(-10)
= 80-110 = -30 points
Second round
7 correct, 8 incorrect
= 7(20) - 8(10)
= 140-80 = 60 points
Assume the probability of Lukas Podolski scores in a soccer match is 25%.
a) Assuming that Lukas performs independently in different matches, what is the probability that Lukas will score in world cup quarter final match and semifinal match? Use 4 decimal places _______
b) Assume again that Lukas performs independently in different games, what is the probability of Lukas scoring in quarter final OR semi final? Use 4 decimal places _______
(a) The probability that Lukas Podolski will score in both the World Cup quarter-final and semi-final matches is 0.0625 (or 6.25%).
(b) The probability of Lukas Podolski scoring in either the World Cup quarter-final OR the semi-final match is 0.5 (or 50%).
What is Probability?
Probability is a branch of mathematics in which the chances of experiments occurring are calculated.
a) To find the probability that Lukas Podolski will score in both the World Cup quarter-final and semi-final matches, we multiply the probabilities of him scoring in each match since the events are independent.
Probability of scoring in the quarter-final match = 0.25 (or 25%)
Probability of scoring in the semi-final match = 0.25 (or 25%)
Probability of scoring in both matches = 0.25 * 0.25 = 0.0625
Therefore, the probability that Lukas Podolski will score in both the World Cup quarter-final and semi-final matches is 0.0625 (or 6.25%).
b) To find the probability of Lukas Podolski scoring in either the quarter-final OR the semi-final match, we can use the principle of addition. Since the events are mutually exclusive (he can't score in both matches simultaneously), we can simply add the probabilities of scoring in each match.
Probability of scoring in the quarter-final match = 0.25 (or 25%)
Probability of scoring in the semi-final match = 0.25 (or 25%)
Probability of scoring in either match = 0.25 + 0.25 = 0.5
Therefore, the probability of Lukas Podolski scoring in either the World Cup quarter-final OR the semi-final match is 0.5 (or 50%).
To learn more about Probability from the given link
https://brainly.com/question/31828911
#SPJ4
Can someone please tell me how to do this not the actual equation but like what type of math is this because my teacher wants me to do this method but I don’t understand it’s %
Answer:
Step-by-step explanation:
there are 52 contacts in your phone. the only family members' numbers you have are your dad's, mom's, and brother's. what are the odds of selecting a number in your phone that is not your family?
The odds of selecting a number in your phone that is not your family are approximately 0.9423 or 94.23%.
To calculate the odds of selecting a number in your phone that is not your family, we need to determine the number of contacts that are not family members and divide it by the total number of contacts.
Given that you have 52 contacts in total, and you have the numbers of your dad, mom, and brother, we can assume that these three contacts are family members. Therefore, we subtract 3 from the total number of contacts to get the number of non-family contacts.
Non-family contacts = Total contacts - Family contacts
Non-family contacts = 52 - 3
Non-family contacts = 49
So, you have 49 contacts that are not family members.
To calculate the odds, we divide the number of non-family contacts by the total number of contacts.
Odds of selecting a non-family number = Non-family contacts / Total contacts
Odds of selecting a non-family number = 49 / 52
Simplifying the fraction:
Odds of selecting a non-family number ≈ 0.9423
Therefore, the odds of selecting a number in your phone that is not your family are approximately 0.9423 or 94.23%.
To learn more about selecting a number visit:
brainly.com/question/18811781
#SPJ11
Just the bottom part that’s all :)
To transform is to alter. So, changing any given geometric shape would be considered a geometric transformation.
What does one transformation mean?
A 180° rotation about the origin characterizes the sole transformation. Translation, rotation, reflection, and dilation are the four primary categories of transformation.
The term "Geometric" transformation refers to a group of picture transformations where the geometry of the image is modified without changing the actual pixel values. In general, various actions can be performed on it, but the actual pixel values will not change.
Students get the opportunity to consider fundamental mathematical concepts in novel ways thanks to geometric transformations (e.g., functions whose domain and range are R2). Students can view mathematics as a connected field by using geometric transformations as a framework.
To learn more about Geometric transformation refer to:
https://brainly.com/question/28176181
#SPJ13
Find a plane containing the point (6,-6,5) and the line of intersection of the planes -6 x+y+7 z=-15 and 5 x+4 y-7 z=-26 Question Help: Message instructor
A plane containing the point (6, -6, 5) and the line of intersection of the planes -6x + y + 7z = -15 and 5x + 4y - 7z = -26 is 23x - 8y + 10z = -84.
To find a plane that contains a given point and the line of intersection of two planes, we can use the following steps:
1. Find the direction vector of the line of intersection by taking the cross product of the normal vectors of the two planes.
2. Determine a specific point on the line of intersection by setting one of the variables (such as z) to a value and solving for the remaining variables using the equations of the planes.
3. Use the point on the line and the direction vector to form the equation of the plane using the point-normal form.
First, let's find the direction vector of the line of intersection. The normal vectors of the given planes are [ -6, 1, 7] and [5, 4, -7]. Taking their cross product gives us the direction vector [ -59, 13, -34].
Next, we need to find a specific point on the line of intersection. We can choose any of the two planes to solve for the variables. Let's use the first plane, -6x + y + 7z = -15. If we set z = 0, we can solve the resulting system of equations to find the point (x, y, z) on the line: -6x + y = -15. By substituting y = -6x - 15 into the second plane equation, we obtain -25x - 57z = -11. Solving this system of equations, we find x = -84/23, y = -528/23, and z = 0.
Now, we have a point (-84/23, -528/23, 0) on the line of intersection and the direction vector [ -59, 13, -34]. Using the point-normal form, we can write the equation of the plane:
23x - 8y + 10z = -84.
This equation represents the plane that contains the given point and the line of intersection of the two planes.
Learn more about Line
brainly.com/question/2696693
#SPJ11
Find the value of C that completes the square
Answer:
Step-by-step explanation:
y^2-22y+c
complete the square ax^2+bx+c is our old formula quadratic equation
we know that to find c we will divide b/2 and square it
22/2=11
c^2=121
we have y^2-22y+121
The velocity
v
of a particle moving in the xy plane is given by
v
=(5.50t−5.00t
2
)
i
^
+9.00
j
^
, with
v
in meters per second and (>0) in seconds. At t=1.40 s and in unit-vector notation, what are (a) the x component and (b) the y component of the acceleration? c) When (if ever) is the acceleration zero? (d) At what positive time does the speed equal 10.0 m/s ? (a) Number
i
^
Unit (b) Number
j
^
Unit (c) Number Unit (d) Number Unit
The speed equals 10.0 m/s at t = 2.35 s.
The velocity v of a particle moving in the xy plane is given by v=(5.50t−5.00t2)i^+9.00 j^, with v in meters per second and (>0) in seconds. At t=1.40 s and in unit-vector notation, the x component and y component of the acceleration are
(a) -5.00i^+0.00j^ m/s^2 and
(b) 9.00i^+0.00j^ m/s^2, respectively.
Here's the solution to the remaining parts of the problem:
(c) When (if ever) is the acceleration zero
To find when the acceleration is zero, we need to determine the time when dv/dt = 0. Differentiating the velocity vector with respect to time, we getdv/dt = (5.50 - 10.00t) i^At dv/dt = 0,5.50 - 10.00t = 0t = 0.55 s
Hence, the acceleration is zero at t = 0.55 s.
(d) At what positive time does the speed equal 10.0 m/s
To determine the time when the speed equals 10.0 m/s, we need to solve the equation v = 10.0 m/s.
Substituting the given values, we get10.0 = (5.50t - 5.00t^2)^2 + 9.00^2
On solving the above quadratic equation, we gett = 2.35 s and t = 0.15 s
At t = 0.15 s, the velocity vector points downwards and at t = 2.35 s, the velocity vector points upwards.
Hence, the speed equals 10.0 m/s at t = 2.35 s.
Learn more about speed from the given link
https://brainly.com/question/13943409
#SPJ11
A basketball game is 45 minutes long. 20 minutes have already been played. write an equation that represents how many minutes m are remaining. DO NOT SOLVE
Answer:
45-20 = 25
Step-by-step explanation:
HELP ME PLEASE FOR 20 POINTS
can send full pictures to me
what are some of the likely questions on proof of stirling's
formula?
Some likely questions can be (i)What is the intuition behind Stirling's formula? (ii) How is the gamma function related to Stirling's formula? and many more,
Some likely questions on the proof of Stirling's formula, which approximates the factorial of a large number, may include:
What is the intuition behind Stirling's formula? How is the gamma function related to Stirling's formula? Can you explain the derivation of Stirling's formula using the method of steepest descent? What are the key steps in proving Stirling's formula using integration techniques? Are there any assumptions or conditions necessary for the validity of Stirling's formula?
The proof of Stirling's formula typically involves techniques from calculus and complex analysis. It often begins by establishing a connection between the factorial function and the gamma function, which is an extension of factorials to real and complex numbers. The gamma function plays a crucial role in the derivation of Stirling's formula.
One common approach to proving Stirling's formula is through the method of steepest descent, also known as the Laplace's method. This method involves evaluating an integral representation of the factorial using a contour integral in the complex plane. The integrand is then approximated using a stationary phase analysis near its maximum point, which corresponds to the dominant contribution to the integral.
The proof of Stirling's formula typically requires techniques such as Taylor series expansions, asymptotic analysis, integration by parts, and the evaluation of complex integrals. It often involves intricate calculations and manipulations of expressions to obtain the desired result. Additionally, certain assumptions or conditions may need to be satisfied, such as the limit of the factorial approaching infinity, for the validity of Stirling's formula.
Learn more about Stirling's formula here:
brainly.com/question/30712208
#SPJ11
A company sells phone cases for $15 each. At the end of the week, they have sold $570 worth of phone cases. How many phone cases did they sell? Write and solve an equation to find the answer.
a. What is the equation that represents this problem?
b. How many phone cases did they sell?
Answer:
They sold 38 phone cases.
Step-by-step explanation:
The equation I used to solve is
\(570 \div 15\)
How can we find out whether or not a point is on the line?
Answer:
Plug the points into an equation
Step-by-step explanation:
To find out if a point is on a line, you can plug the points back into an equation. If the values equal one another, then the point must be on a line.
Answer:
To determine if a point is on a line you can subsitute the x and y coordinates into the equation.. If the values equal one another, then the point must be on a line.
Step-by-step explanation:
For example if the x - 3y = 11 and the point is (2, -3) plug in
2 - 3(-3) = 11
2 + 9 = 11
11 = 11
two flower shops sell orchids for different prices what is the cheaper price for 12 orchids? Give your answer in pounds £8.60 for 4 orchids were 5.40 now 1/3 off one orchid
the cheaper price for 12 orchids will be £8.60 for 4 orchids.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
4 orchids is pounds £8.60.
12 orchids are 8.6*3 = £25.8
Sor for 12 orchid: Orchid: 5.40 x 12 1 x £5.40x12 3
(648-21.6) = 43.2
So, the cheaper price for 12 orchids will be £8.60 for 4 orchids.
Learn more about arithmetic, by the following link.
https://brainly.com/question/13181427
#SPJ1
A high school performs a production of A Raisin in the Sun with each freshman English class of 18 students. If the three members of the crew are decided at random, what is the probability that Chase is selected for lighting, Jaden is selected for props, and Emelina for spotlighting?
The probability that Chase is selected for lighting, Jaden is selected for props, and Emelina for spotlighting in the high school production of A Raisin in the Sun is: \[ P(\text{Chase for lighting}) \times P(\text{Jaden for props}) \times P(\text{Emelina for spotlighting}) \]
What is the probability of Chase being selected for lighting, Jaden for props, and Emelina for spotlighting?In this scenario, there are 18 students in each freshman English class. The crew members are decided at random, which means each student has an equal chance of being selected for a particular role.
To calculate the probability, we need to determine the individual probabilities for each student to be selected for their respective roles. Assuming there are no restrictions or biases in the selection process, each student has a 1 in 18 chance of being chosen for any given role.
Therefore, the probability of Chase being selected for lighting is \( \frac{1}{18} \), the probability of Jaden being selected for props is also \( \frac{1}{18} \), and the probability of Emelina being selected for spotlighting is \( \frac{1}{18} \).
Multiplying these probabilities together, we get:
\[ P(\text{Chase for lighting}) \times P(\text{Jaden for props}) \times P(\text{Emelina for spotlighting}) = \frac{1}{18} \times \frac{1}{18} \times \frac{1}{18} \]
Learn more about: probability
brainly.com/question/31828911
#SPJ11
f(x)=x 2 +5x+6 and g(x)=x+2g(x)=x+2, find (f\cdot g)(x)(f⋅g)(x)
Answer:
\(x^{2} +4x+4\)
Step-by-step explanation:
Assuming f(x)=\(x^{2}\) and g(x)=x+2, fog(x)=f(g(x))
f(g(x))=\((g(x))^{2}\)=\((x+2)^{2}\)=\(x^{2} +4x+4\)
Answer please. You automatically get branliest (if its right)
Answer:
the ansers are fourteen and sixty nine
Step-by-step explanation:
A lump sum of $1000 is invested at 4.6% compounded continuously. (a) Write the function for the model that gives the future value of the investment in dollars after t years.
The investment would be worth about $1315.94. Similarly, we can find the future value at any other time by plugging in the appropriate value of t.
To find the future value of an investment that is compounded continuously, we can use the formula:
A = Pe^(rt)
Where A is the future value, P is the initial principal, r is the annual interest rate, and t is the time in years.
In this case, we have P = $1000, r = 0.046 (since the interest rate is 4.6%), and t is the number of years. Plugging these values into the formula, we get:
A = 1000*e^(0.046t)
This is the function for the model that gives the future value of the investment in dollars after t years. To find the future value at a specific time, we just need to substitute the value of t into the function and evaluate it. For example, if we wanted to find the value after 5 years, we would plug in t = 5:
A = 1000*e^(0.046*5) = 1000*e^(0.23) ≈ $1315.94
Know more about investment here:
https://brainly.com/question/15353704
#SPJ11
What is it? Could someone draw these coordinates
The coordinates are simple. Hope you understand this and you can draw it out.
Last night, Olivia spent 1 2/5 hours on her math homework, then 45 minutes on her science homework. What is the total time she spent doing her math and science homework?
Answer:
Olivia spent 129 minutes or 2:15 doing all the homework
Step-by-step explanation:
Answer: 47.4 or -42.6/negative
Step-by-step explanation: i tried my best
HELP ME PLEASE IM BEGGING
Answer:
lines a and c :)
Step-by-step explanation:
A new car is purchased for 25000 dollars. The value of the car depreciates at 8.25% per year. What will the value of the car be, , after 15 years?
Given:
Price of a new car = 25000
Depreciation rate = 8.25% = 0.0825
Time = 15 years.
To find:
The value of the car after 15 years.
Solution:
The exponential decay model is
\(y=a(1-r)^t\)
Where, a is the initial value, r is the rate of decay and t is number of years.
Putting a=25000, r=0.0825 and t=15 in the above formula.
\(y=25000(1-0.0825)^{15}\)
\(y=25000(0.9175)^{15}\)
\(y=25000(0.274847)\)
\(y=6871.175\)
Therefore, the value of the car after 15 years will be 6871.175.
does someone mind helping me with this question? Thank you!
Answer:
114 sq ft
Step-by-step explanation:
Find out the area of the end triangle;
2x3=6
6x0.5 (1/2) = 12
Find the perimeter of the end triangle;
3+3+3=9
Find the area of the rectangle;
9x10=90
Find the total surface area;
2x12=24
24+90=114 sq ft
Answer:
3
Step-by-step explanation:
the surface area is the base
you will know what the base is based on the name
since it's a triangular prism, the base is a triangle
the triangle in the picture is 2 in hight and and 3 on the ground
2 x 3/2
6/2
3
What is the approximate total percent off when you buy something at "An extra 20% off of 40% off"?
Please help me
Answer:
48%
Step-by-step explanation:
let's say the initial price of an item is $100
if you take 40% off then you pay only $60
now if you take 20% off 60 you pay $48
$48 is 48% of 100
WILL MARK BRAINLEST
California's traffic People love living in California for many reasons , but traffic isn't one of them . Based on a random sample of 572 employed California adults, a 90 % confidence interval for average travel time to work for all employed California adults is 23 minutes to 26 minutes
(A) Interpret the confidence level
(B) Name two things you could do to reduce the margin of error. What drawbacks do these actions have?
(C) Describe how no responses might lead to bias in this survey.Does the stated margin of error account for this possible bias?
90% of all samples have a confidence interval that contains the right average travel time for all employed adults in California.
What is a confidence interval?Increased Sample Size: This provides more information about the population and allows us to calculate an accurate estimate. Data collection is expensive and time-consuming.
Decrease in Confidence Level: Confidence interval having correct population interval is less confident. It has fewer possible values for true population parameters. Hence, it is less confident about the confidence interval has the correct population parameters.
Non-Response Bias
Nonresponse bias happens when there isn't enough data for everyone in the sample. People whose data is unavailable lead to bias and over- or underestimate the true population. The margin of error is not used because it merely takes potential variation into consideration.
To know more about confidence intervals follow
https://brainly.com/question/1290441
#SPJ6