Question

using discrete logarithms for modulo 17 relative to primitive root 3,

solve the following:

x^12 (is equivalent to) 13(mod 17)

PLEASE SHOW ALL STEPS IN DETAIL

ANd show ALLL POSSIBLE ANSWERS (values of x)

Answer #1

(a) Solve
x ≡ 11 (mod 12), x ≡ 4 (mod 5), x ≡ 0 (mod 7)
(b) Find all the solutions of the following system:
x ≡ 5 (mod 6), x ≡ 4 (mod 11), x ≡ 3 (mod 17).

Please solve the following questions related to Discrete
Probability Distribution.
1. Thirty percent of all resumes received by a corporation for a
management position are from females. Ten resumes will be received
tomorrow.
a. What is the probability that exactly 5 of the resumes will be
from females?
b. What is the expected number of resumes from women?
c. What is the variance of the number of resumes from women?
(Please show the detail computation steps. Please don’t just
give...

Please solve the following showing all the steps.
Using the sample mean, variance, and standard deviation equations
with steps. I don't know how to do this and would like to
learn.
Also, is this considered a loaded dice?
Consider the roll of two dice. Let X be a random variable
representing the sum of the number of dots appearing on each of the
dice. The probabilities of each possible value of X are as
follows:
2
1/36
3
2/36
4...

3 A) Use the Lagrange Multiplier method to solve for the
quantity of X and Y when I=$1,000, Px=$25, and Py=$5, and Utility =
X*Y. Show all steps.
B) Graph budget line and utility curve. Indicate x and y
intercepts, as well as optimal bundle of x and y.
C) How many utils are obtained at the optimal choice? Show how
you obtain your answer.
D) Show the Marginal Rate of Substitution and the slope of the
budget line at...

Calculate both the sample and the population standard deviations
using the data below.
x
27
3
12
10
5
29
Please show the following answers to 1 decimal
place.
Sample Standard Deviation (ss) =
Population Standard Deviation (σσ) =
Notice the different!

Solve the following differential equations using inspection:
1) y”+4y=12
2) y””+4y”+4y=-20
3) (D^4 -4D^2)y=24
4) y”-y=x-1
5) D(D-3)y=4
6) (D^2+2D-8)(D+3)y=0
7) y”-y’-2y=18xe^(2x)

Consider the following time series data.
Week
1
2
3
4
5
6
Value
19
12
15
11
17
15
Using the naïve method (most recent value) as the forecast for
the next week, compute the following measures of forecast
accuracy:
Mean absolute error (MAE)
Mean squared error (MSE)
Mean absolute percentage error (MAPE)
Round your answers to two decimal places.
MAE =
MSE =
MAPE =
Using the average of all the historical data as a forecast for
the...

can you please answer question 14-17. thank you, please
show your work.
Using the following information find the ratios listed:
Hamilton Company
Comparative Balance Sheets
December 31, 2018 and December 31, 2019
Assets
2018
2019
Difference
Cash
15,000
47,000
32,000
Accounts Receivable
55,000
47,000
(8,000)
Inventory
110,000
144,000
34,000
Prepaid Expenses
5,000
1,000
(4,000)
Long term investments
127,000
115,000
(12,000)
Land
55,000
55,000...

Let U=X1/2Y2,
dU/dX=(1/2)X-1/2Y2,
dU/dY=2X1/2Y
Px=$15, Py=$3 and I=$300
1.(2 pts)_______________________ What is the level of happiness
at X=16, Y=6?
2. (2 pts)_______________________What is the marginal utility of
X at this point?
3.(2 pts)________________________ What is the slope of the
indifference curve at this point?
4.(2 pts)_______________________ At this point, which is larger:
the marginal utility of the last dollar spent on X or the marginal
utility of the last dollar spent on Y? (You must show both marginal
utilities per...

Please Answer All Questions
QUESTION 17
Given the following statistics:
SP = 19
SS(x)= 13.5
SS(y) = 23.4
Mean of X = 4.5
Mean of Y = 7.5
Compute a regression equation using the data above. What is this
equation?
Ŷ = 1.41X + 1.17
Ŷ = 1.15X - 2.88
Ŷ = 0.5X + 2.5
Ŷ = 0.5X + 1
3 points
QUESTION 18
Using the equation you just created in #17, assume that the X
variable was number...

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