Consider the number set S={3,5,7,9,11,..,91,93}(i.e.,
{x|3≤1+2⋅c≤93} where c is an integer). How many items from the...
Consider the number set S={3,5,7,9,11,..,91,93}(i.e.,
{x|3≤1+2⋅c≤93} where c is an integer). How many items from the set
do I have to take such that some subset of the chosen numbers must
sum to 96? Be sure to explain your answer.
Consider the set of integer numbers from 0 to 9, that is {0, 1,
2, 3, 4, 5, 6, 7, 8, 9}. Bob wishes to use these numbers to create
a 7-digit password to secure his new laptop. Note that each number
can appear in any position (for example, 0 can be the first number
in the password). (a) Find the number of 7-digit passwords that are
possible. (b) Find the number of 7-digit passwords with distinct
digits. (c) Find...
If S = 1-x/1! + x^2/2! - x^3/3! + .....
where n! means factorial(n) and x is a variable that will be
assigned.
Use matlab to compute S for x = 7 and n (number of terms) =
5. Write the value below as the one displayed when you
issue "format short" in matlab. Explain the process and result of
the question.
(a) Design an algorithm that reveals some secret integer number
from the set {1, 2, ... , n} by guessing random numbers within the
given range until the secret number has been guessed. Numbers
should be replaced after being guessed such that it is possible to
guess 2 and then 2 again, assuming 2 is in the given range. The
algorithm should return both the secret number as well as the
number of guesses taken.
(b) If possible, calculate the...
Let f(x) = {(C/x^n if 1≤ x <∞; 0 elsewhere)} where n is an
integer >1.
a. Find the value of the constant C (in terms of n) that makes
this a probability density function.
b. For what values of n does the expected value E(X) exist?
Why?
c. For what values of n does the variance var(X) exist? Why?
If x 1 and x 2 are the number of items of two goods bought, a
customer’s utility is U ( x 1 , x 2 ) = 2 x 1 x 2 + 3 x 1 . The
unit cost is $ 1 for the first good and $ 3 for the second. Use
Lagrange multipliers to find the maximum value of U if the
consumer’s disposable income is $ 100 . Estimate the change in
optimal utility if...
6.19 LAB: Convert to binary - functionsWrite a program that takes in a positive integer as input, and
outputs a string of 1's and 0's representing the integer in binary.
For an integer x, the algorithm is:As long as x is greater than 0
Output x % 2 (remainder is either 0 or 1)
x = x / 2Note: The above algorithm outputs the 0's and 1's in reverse
order. You will need to write a second function to reverse the
string.Ex: If the input is:6the output is:110Your program must define and call the following two functions.
The IntegerToReverseBinary function...
Consider the following set of ordered pairs. Complete parts a
through c.
x
1
1
3
3
1
y
−1
1
4
3
−1
a. Calculate the slope and y-intercept for these data.
^y=______ + (______) x
(Round to four decimal places as needed.)
b. Calculate the total sum of squares (SST).
SST=
(Round to one decimal place as needed.)
c. Partition the sum of squares into the SSR and SSE.
SSE=
(Round to three decimal places as needed.)...
Gamete
Genotype Number
Set 1 + + + 129
Set 2 a b c 135
Set 3 + + c 65
Set 4 a b + 69
Set 5 + b c 264
Set 6 a + + 272
Set 7 a + c 31
Set 8 + b + 35
Total 1000
The order shown is not necessarily correct. Which gene
locus is in the middle? Show the order.