Answer:
-sqrt(5) ≤ x ≤ sqrt(5)
Step-by-step explanation:
x^2-5≤0
Add 5 to each side
x^2-5+5≤0+5
x^2 ≤5
Take the square root of each side, remembering to flip the inequality for the negative sign. Since this is less than we use and in between
sqrt(x^2) ≤ sqrt(5) and sqrt(x^2) ≥ -sqrt(5)
x ≤ sqrt(5) and x ≥- sqrt(5)
-sqrt(5) ≤ x ≤ sqrt(5)
Answer:
(b) (a) (d) (a) (c)
Step-by-step explanation:
(i) The probability of an even card is 1/2 because the number of even cards and odd cards are the same so there is a 50% of getting an even card. (b)
(ii) Since the card is replaced, there is still a card for all numbers between 1-20. There are 8 prime numbers and 20 cards so the probability of getting a prime number is 8/20 or 4/10 or 2/5. (a)
(iii) The card was not replaced so there are only 19 cards and there are only 5 numbers that are multiples of 3 and greater than 4. The probability must be 5/19. (d)
(iv) A sure event means that it will happen 100%. So P(A) = 1 since the number one represents 100%. (a)
(v) All cards have replaced and there is only one number that is a multiple of 3 and 5 which is 15. 1 card out of 20 is a desired outcome so 1/20 is the probability. (c)
You would add all the sides together
Sum of complementary angles = 90
so
5x + 35 = 90
5x = 90 -35
5x = 55
x = 11
answer is A.
x = 11
400 is the answer. Hope this helps
