a)Draw and label ABC with vertices A(2,1) B(3,1)C(1,3)
b)Draw and label ∆A1B1C1 under S2 ,a stretch with factor 2 and invariant line the x-axis.
c)Draw ∆A2B2C2 under S2, a stretch with factor 2 and invariant line the y-axis.
d)describe fully the single transformation which is equivalent to S1S2.
Write down the matrices for S1S2
in a family of 6 children,what is the probability that the youngest is a girl?
A swinging pendulum covers 45cm in the first swing, 18cm in the second swing, and continues to reduce its swing distance to 2/5 of the preceding distance. what is the maximum distance covered by the pendulum before it comes to stop?
Écrivez un programme qui calcule les n premiers termes du développement en série de Taylor de la fonction f(x) = cos(4x) autour du point x0 = 0.
A bag contains 4 black checkers and 8 red checkers. A checker is selected, returned to the bag, and then another checker is selected. What is p(black, then red)?
Charles lost 7 marbles out of his 20 marbles.what fractional part of the marbles was lost?
The scores of 10 students from their test are 18,13,15,20,19,18,12,14,15,17 and 15. Find the mean, median and mode.
In how many ways can the letters in the word CARLETON be arranged so that each arrangement contains either CAR or ON as sub-words (or both)?
Find the whole number sulotion of the congruence equation of (5x+4)=2 mod 8
Find the equation of quadratic function given that the zeros are -3/4 and 5/6.
Two cards are drawn without replacement from an ordinary deck. Find the probability that the second is
not a face card,
given that the first is
a face card.
Part 1
What is the conditional probability
Consider a standard deck of 52 cards (13 cards each in 4 suits, clubs, spades, diamonds and hearts). What is the probability of picking out a jack of spades and then, without replacing the card to the deck, pick out a jack of diamonds?
A study was conducted in which two types of fried chicken, Jollibee and KFC, were compared. Number of fried chickens sold, was measured. 90 Jollibee branches were surveyed while 80 were surveyed for KFC. The average fried chicken sold was 7,020 for Jollibee and 8,100 fried chickens for KFC. Find a 94% and 98% confidence interval on . Assume that the population standard deviations are 1000 and 500 for KFC and Jollibee, respectively.