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A positive charge, q = +35 nC, is on the y-axis at y = +5.00 cm. (a) Determine the magnitude
and direction of the electric field at the origin. (b) What will be the magnitude and direction
of the electric field at the origin if the charge is -20 nC?
A study was conducted to determine whether there exists a relationship between the length of time (in hours) a senior high school student spends reviewing his or her lesson a week before the final examination and his or her grade in statistics and probability. Eight randomly selected senior high school students provided the following data.
x 10 12 24 20 13 13 8 22
y 80 83 94 90 85 84 80 89
Compute the Pearson’s r. Interpret the results.
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DEADLINE : 05/20/2022 11 : 00 PM
In the early 1970's the price of oil in the country rose by 176% and the quantity demanded fell by 25 %. What conclusion can you make about its demand?
Compute the equilibrium price of buko pie given the following equations : Qd = 750 - 15P Qs = -150 + 30P
1. Millicent is planning to travel to the United States of America in 3 years time. She
estimated that her vacation would cost $1,236,000. Given the existing interest rate of 6%,
how much money should she invest now?
A. $999,769.43
B. $1,027,869.53
C. $1,037,769.43
D. $1,250,869.53
What is ANOVA test
Buoyancy aids in watersports are tested by adding increasing weights until they sink. A
club has two sets of buoyancy aids. One set is two years old, and should support weights
according to 𝑁(6.0,0.64)kg, the other set is five years old and should support weights of
𝑁(4.5, 1.0) kg. all the aids are tested and any which are unable to spport at least 5kg are
thrown out.
a. If there are 24 two-year aids, how many are still usable?
b. If there are 32 five-year old aids how many are still usable?
QUESTION III
A short term insurance company receives three motor vehicle claims, on average, per day. Assume that
the daily claims follow a Poisson process.
Required:
a) What is the probability that at most two motor vehicle claims are received in any given day?
b) What is the probability that more than two motor vehicle claims are received in any given period
of two days?
An insurance company found that 45% of all insurance policies are terminated before their maturity
date. Assume that 10 polices are randomly selected from the company’s policy database. Assume a
Binomial experiment.
Required:
a) What is the probability that eight policies are terminated before maturity?
b) What is the probability that at least eight policies are terminated before maturity?
c) What is the probability that at most eight policies are not terminated before maturity?
Calculate the acceleration of Josh riding his bicycle in a straight line that speeds up from 4m/s to 6m/s in 5 seconds.
#340153 on Dec 2023