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)
Answer:
multiplicas ese numero las veces que dice el numero por cual esta elevado.
Ejemplo: 8^3 = 8 x 8 x 8
Step-by-step explanation:
Solution of equation 4-2(x-5)=x-19 is given below .
Step-by-step explanation:
4-2(x-5)=x-19
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4-2*(x-5)-(x-19)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(4 - 2 • (x - 5)) - (x - 19) = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
33 - 3x = -3 • (x - 11)
Equation at the end of step 3 :
-3 • (x - 11) = 0
Step 4 :
Equations which are never true :
4.1 Solve : -3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
4.2 Solve : x-11 = 0
Add 11 to both sides of the equation :
x = 11
One solution was found :
x = 11
Processing ends successfully
Answer:
x should be 55
Step-by-step explanation:
the acute angle is 55 and we know that the whole horizontal is 180 so calculate 180-55 to find the obtuse angle which is 125. Then subtract 70 from that to isolate for x and you get 55.
