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according to study the average number of hours of tv of viewing per household per week is philippines is 50.4 hours and the standard deviation is 11.8 hours.if a random sample of 42 households is taken what is the probability that the sample average is less than 47.5 hours
A golf ball is selected at random from a golf bag. If the golf bag contains 8 type A balls, 5 type B balls, and 3 type C balls, find the probability that the golf ball is not a type A ball.
The score in the final test in statistics and probability of all grade 11 students in a certain school are normally distributed.If the population mean u=50 and the population standard deviation
The average height of Grade 10 students 148 cm. A sample of 250 male students had an average height of 148.3 cm with a standard deviation of 8 cm. Is there a significant difference between the height of the students?
In an isosceles trapezoid the 5- cm altitude drawn from the endpoint of the shorter base to
the larger base divides the larger base in segments of 10 cm and 25 cm long. Compute for
the area of the trapezoid.
A region is bounded by y = square root of x, the x-axis, and x = 4. Write the integral that represents the volume of this region revolved about the line y = 3
𝑔(𝑥) = √((√(𝑥 + 4))^𝑥 )− 𝑥^𝑥.
(b) Fully discuss the continuity of 𝑔 (𝑥) at 𝑎 = 4, mention any case of
one sided continuity.
Show that the length of the portion of any tangent line to the asteroid a𝑥^2/3 + 𝑦^2/3 = 𝑎^2/3 ,cut off by the coordinate axes is constant.
A cone of radius 𝑟 centimeters and height ℎ centimeters is lowered point first at
a rate of 1 cm/s into a tall cylinder of radius 𝑅 centimeters that is partially filled with
water. How fast is the water level rising at the instant the cone is completely
submerged?
Suppose 𝑓 is odd and differentiable everywhere. Prove that for every positive
number 𝑏, there exists a number 𝑐 in (−𝑏, 𝑏) such that 𝑓 ′(𝑐) = 𝑓(𝑏)/𝑏.
#340153 on Dec 2023