You are doing a study on sleep deprivation. you take a sample of n = 25 individuals and deprive of them sleep so that they only get 4 hours of sleep for two nights. you then have them each solve a puzzle, and find that the mean time to solve the puzzle is m = 30 minutes. you know that for the population, the mean time to solve the puzzle is μ = 10 minutes and the standard deviation is σ = 20. you want to answer the following research question: does sleep deprivation have an effect on the amount of time it takes to solve this puzzle? what is the standard error of the sample mean

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

i think the answer is a p = 78

step-by-step explanation:

there are 6 sides of a hexagon, multiply 13 x 6

the area of ​​the surface of the rectangular prism here is 250 cm2, which is the surface of the shading

step-by-step explanation:

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.