A box is a cuboid with dimesions 26cm by 15cm by 20cm all measured to the nearest centimetre. disc cases are cuboids which measure 1.6cm by 14.2cm by 19.3cm all measured to the nearest millimetre.

If the disc cases are stacked as shown, show that it may NOT be possible for 16 cases to fit in the box.

Which of the following equations is of the parabola whose vertex is at (4, 3), axis of symmetry parallel to the y-axis and focus at (4, -3)? a.) y+3=1/24 (x+4)^2 b.)y-3=-1/24 (x-4)^2 c.)x-4=-1/24 (y-3)^2

Explain how you do each step what term makes it inconsistent y=2x - 4 ?

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?