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A boy is flying a kite, which is at a height of 40 feet. The kite is moving horizontally

at a rate of 3 feet per second. If the string is taut, at what rate is the string being

paid out when the length of the string released is 50 feet?


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DEADLINE : 05/03/2022 11 : 00 PM


Find the areas of each of the following z-scores



1. 0.50


2. 0.99


3. -2.58


4. 3.16


5. -0.52


6. -0.12


Translate the gaming system requirement, , into English where the predicate S(x,y) is “x is in state y” and where the domain for x and y consists of all systems and all possible states, respectively.


Express this gaming system requirement using predicates, quantifiers, and logical connectives: “When there are less than 2 gigabytes of available RAM, an error message is displayed.”


In a high school class, 35% of the students take Spanish as a foreign language, 15% take French as a foreign language, and 40% take at least one of these languages. What is the probability that a randomly chosen student takes French given that the student takes Spanish?



A. The following are the heights of four students in centimeters. Suppose


samples of size 2 are taken from this population of four students.


STUDENTS | HEIGHT(in cm)



Cardo 125



Alyana 120



Joaquin 130



Flora 110



a. Compute the mean of the population


b. Compute the mean of the sampling distribution of the sample means

A random sample of 60 Grade 11 students’ ages is obtained to estimate the mean ages of all Grade 11 students. Suppose the sample mean is 17.3 and the population variance is 18, 


It has been reported that 40% of the adult population participate in computer hobbies during their leisure time. A random sample of 180 adults found that 65 engaged in computer hobbies. at a= 0.01, is there sufficient evidence to conclude that the proportion differs from 40%?


It has been reported that 40% of the adult population participate in computer hobbies during their leisure time. A random sample of 180 adults found that 65 engaged in computer hobbies. at a= 0.01, is there sufficient evidence to conclude that the proportion differs from 40%?



In the corner of a cellar is a pyramidal hoop of coal. The base of the hoop is an isosceles right triangle whose hypotenuse is 30ft. and its height is 8ft. What is the volume of the pyramidal hoop of coal in cu.ft.?


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