Answer:
1/1000
Step-by-step explanation:
The probability of two independent events A, B (independent = events that do not depend on each other) is given by the product of the individual probabilities of A and B:
(1)
In this problem, the single event is "getting a 3" when extracting a random number between 1 and 10.
The total number of possible outcomes is
n = 10
While the number of succesfull outcomes (getting a 3) is only one:

So, the probability of drawing a 3 in 1 draw is

Then, we want to find the probability of getting three "3" in 3 consecutive generations. These events are independent events, so we can use rule (1) to find the total probability, and we get:

Answer:
1) 145°
2) 20°
3) x = 7 ; measurement of the missing angle = 24
Step-by-step explanation:
1) supplement = 180°, 180 - 35 = 145
2) complment = 90° , 90 - 70 = 20
3) the figure is a right angle so the measurement is 90°
66 + (4x-4) = 90
62 + 4x = 90
4x = 28
x = 7
4(7) - 4
28 - 4
= 24
Answer:
27 15/28 degrees
Step-by-step explanation:
Since we are adding 21 1/4 to 6 2/7, we need to find the LCD, or, least common denominator, so that we can add 1/4 and 2/7 together.
1*4=4 1*7=7
2*4=8 2*7=14
3*4=12 3*7=21
4*4=16 <u>4*7=28</u>
5*4=20
6*4=24
<u>7*4=28</u>
Since we had to multiply 7 four times to get it equal to 28, we need to take 2/7 * 4/4. This will give you 8/28. Then, since we multiplied 4 seven times to get it equal to 28, we need to take 1/4 *7/7. This will give you 7/28. Finally, you need to add 8/28 and 7/28 since they now share the same denominator.
8/28 + 7/28=15/28
For our last step, we need to add the whole numbers together so the answer is complete.
21+6=27
27+15/28= 27 15/28 degrees
Answer: The total price of the groceries, including discount and tips $110.4
Step-by-step explanation: