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1. There are 3 arrangements of the word DAD, namely DAD, ADD, and DDA. How many arrangements are there of the word ENDURINGLY?
2. There are 13 men and 12 women in a ballroom dancing class. If 6 men and 6 women are chosen and paired off, how many pairings are possible?
3. Suppose you are taking a multiple-choice test with 4 choices for each question. In answering a question on this test, the probability that you know the answer is 0.33. If you don’t know the answer, you choose one at random. What is the probability that you knew the answer to a question, given that you answered it correctly?
4. A normal distribution which has a mean of 50 and standard deviation of 7 is taken into consideration.
68% of the distribution can be found between what two numbers?
a) 40 and 60
b) 0 and 43
c) 0 and 68
d) 43 and 57
5. Consider the data X = (58,59,63,60,60,63,60,57,58,59). An unbiased estimation for population variance would be ____
Stock_File_1’, a stock trend forecasting company has just employed you as a Data Scientist. As a first task in your new job, your manager has provided you with a company’s stock data and asked you to check the quality of the data for the next step of analysis. Following are the additional description and information about the data which your manager has shared with you.
a) The data set contains six variables namely-
i. Date
ii. Open
iii. High
iv. Low
v. Close
vi. Volume
In addition to study environment, which factors do you think should ideally be held constant in a model of the relationship between study hours and final grade?
in the triangle ABC having vertices at A(-2,5), B(6,1) and C(-2,-3), find the length of the median from vertex B to side AC.
If a copper metal of diameter 5cm and length 1m is stuck into the base of a hot water bath such that the heat of the water at 80°C in transmitted to the other end. Calculate the temperature gradient.
The instaneous value of voltage in an a. c circuit at any time t seconds is given by v=100sin(50πt-0.523) V. Find
1:The peak to peak voltage, the frequency and the phase angle
2:the voltage when t=0
3:the voltage when t=8ms
4:the times in the first cycle when the voltage is 60V and -40V
5:the first time when the voltage is maximum
Three point charges are arranged along the y-axis in a vacuum. The topmost charge bears a charge of -4.0 , the middle charge has a charge of 3.0 , and the bottom carries a charge of -7.0 . What is the magnitude and direction of the net electrostatic force that the middle charge experiences if top-middle is separated by 0.2 m of distance and middle-bottom is also separated by 0.2 m of distance?
Two tiny, identical metal balls carry charges of 6.0 and -14.0 , and are 4 cm apart from each other. What is the force of attraction between these balls?
Is continued over-pumping of aquifers in America in our best interest?
Consider a following function f:
def mys(m):
if m==1:
return(1)
else:
return(m+mys(m-1))
