CD←→ is tangent to circle A at point B.What is the measure of ∠ABD?
45º
60º
90º
180º
Answers
The measure is C.
Given,
CD is tangent to the circle A at point B.
We have to find the measure of .
Tangent:
We know that,
- Tangent to a circle is the line that touches the circle at only one point. There can be only one tangent on a point to circle.
- The Tangent makes an angle of
with the radius of the circle at the point of contact.
Hence is
.The correct option is C.
For more details about tangent, follow the link:
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What is the solution to –4|–2x 6| = –24
Whst is 15 divided by 6 2/3 equals
Given the following system of equations, identify the type of system.x + 2y = 63x + 6y= -9A. ConsistentB. InconsistentC. Equivalent
). Compute the approximate value for Cov(2m,e
m
) using the simulation method. Compare your results between the exact and simulated values. b) [6 Marks] Compute the exact value of the integral η=∫
1
5
y
2
e
y
dy. Estimate the integral using the Monte Carlo (MC) integration method with a sample size of (n=1000). Determine the approximate percentage error (ϵ) between the exact value and the MC value. c) [8 Marks] Use the code to answer questions that follow: s 3336 <- function (N,×0,a,c,m){ pseudo <- rep(0,N) pseudo [1] <- <0 for (i in 2:(N+1)) pseudo[i] < (a∗ pseudo [i−1]+c)% pseudou <- pseudo/m return (pseudou) \} Explain the two pseudorandom number generation (PNG) methods, and identify the one used in the R code. Suppose (a=11,c=56,x
0
=13m=15) use the PNG to generate 30 pseudorandom numbers. Test the hypothesis that the generated numbers are uniformly distributed.
Answers
Answer:
Step-by-step explanation:
To determine the exact value of the covariance expression Cov(2m, em), we need more information about the variables involved. The covariance between two random variables, X and Y, is calculated as the expected value of the product of the differences between each variable and their respective means. Without the means or additional information, we cannot calculate the exact value of the covariance.
For the simulation method, we can generate random samples for 2m and em, calculate their covariance, and repeat the process multiple times to estimate an approximate value for Cov(2m, em). The simulated value will depend on the specific values generated for 2m and em in each iteration.
b) To compute the exact value of the integral η = ∫1^5 y^2 e^y dy, we can use integration techniques such as integration by parts or substitution. However, without further information or specific instructions, it is not possible to determine the exact value of this integral.
To estimate the integral using the Monte Carlo (MC) integration method, we can generate random points within the interval [1, 5] and evaluate the function y^2 e^y at those points. The estimate is then obtained by taking the average of these function values and multiplying it by the interval length (5 - 1). Using a sample size of n = 1000 means generating 1000 random points.
To calculate the approximate percentage error (ϵ) between the exact value and the MC value, you would need to know the exact value of the integral, which is not provided in the question.
c) The given code represents a pseudorandom number generation (PNG) method. It generates pseudorandom numbers using a linear congruential generator (LCG) algorithm. The LCG algorithm is a simple and widely used method for generating pseudorandom numbers based on a linear recurrence relation.
The LCG algorithm is defined by the recurrence relation:
X(n+1) = (a * X(n) + c) mod m
In the code, the values a = 11, c = 56, x0 = 13, and m = 15 are used as parameters for the LCG algorithm. It generates 30 pseudorandom numbers by iterating the recurrence relation.
To test the hypothesis that the generated numbers are uniformly distributed, you can perform a statistical test, such as the chi-square test or the Kolmogorov-Smirnov test. These tests compare the distribution of the generated numbers to a uniform distribution.
(2,4)
(3,9)
(4,16)
which is not true about the above table?
A .It shows a linear function.
B .The variable x increases by 1 each time.
C .The rate of change is not constant.
D. The variable y increases by a different value each time
Answers
B. true
C. true
D. true
State which property you would use to rewrite the expression as a single logarithm, and rewrite the logarithm. What is the probability that the number 1 is the leading digit? Explain.
Answers
P(d) = log(d + 1) - log(d)
The division property of logarithm should be use to make it as a single logarithm
P(d) = log ( (d + 1)/ d)
So the probability that the number 1 is the leading digit is
P(1) = log ( ( 1+1)/ 1)
P(1) = log ( 2)
P(1) = 0.301
The probability that the number 1 is the leading digit is.
Given information:
Benford’s law states that the probability that a number in a set has a given leading digit, is
As mentioned in question,
Probability of a number in a set is given by .
The division property of logarithm should be use to make it as a single logarithm .
So, the probability that the number 1 is the leading digit is,
Hence, The probability that the number is the leading digit is
.
Learn more about Probability here:
Answers
Answer:
To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.
Step-by-step explanation:
Proportions
The hybrid car can travel 40 miles per gallon.
Since one mile is equivalent to 1.6 Km, the distance traveled per gallon is 40*1.6 = 64 Km.
Now the distance is expressed in Km, we can find the gallons needed to travel 20 Km, by calculating 20/64 = 0.3125.
To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.
Answers
Answer:
15%
Step-by-step explanation:
Answer:
is 16.75
Step-by-step explanation:
Answers
The required solution is $83,550 raised.
It is required to find the amount did they raise.
What is percentage?
A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.
Given:
For a precision coffee press=$15000
Supporters=714
Raised= 557% of their goal.
According to given question we have,
They raise
15000 x 5.57
= $83,550 raised
Therefore, the required solution is $83,550 raised.
Learn more about percentage here:
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Their aim was 15000, so if they raised 100% of their goal, they wouldve raised exactly 15000.
They raised 557%, so how much did they make?
Proportion:
$15000 100%
$x 557%
Our expression would be x=$15000*557% divided by 100%, which would be $83550, so... a lot of money.
(we did an “x” formation with the proportion, ie “connected” x with 100, and “connected” 15k and 557. The number connecting to x is what we divide the equation by, and the other two are multiplied and then divided by the first number connecting to x. Otherwise we couldve calculated 557% of 15000 and gotten the same result. Whichever way is easier for you :) )