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Suppose the mean number of days to germination of a variety of seeds is 34, with a standard deviation of 4.3 days. What is the probability that the mean germination time of a sample of 250 seeds will be within 0.5 days of the population mean?


ATOM is similar to IRON. The sides of ATOM are 3, 6, 9, and 12 centimeters. The shortest side of IRON is 2 centimeters long.​


a. What is the scale factor of ATOM to

IRON

b. Find the lengths of the two longest sides of IRON

c. Find the perimeter of IRON.


d. Find the ratio of the perimeters of ATOM and iRON.


Find the equation of the tangent line to a curve y=-x2-1 that is parallel to the line 2x+y=6.


Suppose X1,X2,...,X25 is a random sample from P (λ = 320). Use the central limit theorem to approximate P(X̄ >542)


Scores on a test can be approximated with a normal distribution. If the average score was an 30 and the standard deviation was 4, find the probability that a randomly chosen test has a score of a) Below 40          b) between 30 and 35



Investment

A person may earn ₱100,000.00 by investing in the stocks of an international 

company with a probability of 0.40 or lose ₱35,000.00 over the same period 

with a probability of 0.60. Let X denote the net gain of a person who will invest 

in the company, construct the probability distribution of X, and compute for 

the expected value of a person who will invest in the same company. Interpret 

the result


We know that 10% people who purchase cars buy manual transmissions and 90% people purchase automatics.Three people purchase a car. find the probability distribution for the number who purchase automatics

We know that 10% people who purchase cars buy manual transmissions and 90% people purchase automatics.Three people purchase a car. find the probability distribution for the number who purchase automatics

A cone made of paper is used to drink water from. It is made from circular paper with a radius of 12 cm, with a sector of 120° cut out. Calculate the area of paper needed to make the cone cup.


The average pre-school cost for tuition fees last year was ₱17,250. The following tear, 20 institutions had a mean of ₱16,150 and a standard deviation of ₱2,250. Is there sufficient evidence at a = 0.10 level of significance to conclude that the mean cost has increased?


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