1. Commutative property of multiplication This is because it represents a*b=b*a
2. Associative property of multiplication. Multiplication problems end with the same product no matter the order of factors.
3. Correct
4. Correct
5. Associative property of addition. Even though the grouping symbols are different, it is equivalent because you are adding all the terms together.
6. Correct
The last one should also be associative property since it applies every time you combine like terms.
Just a reminder: Distributive property is only when you multiply in the form of a(b+c)=ab+ac
3a + b = 54...when b = 9
3a + 9 = 54
3a = 54 - 9
3a = 45
a = 45/3
a = 15 <===
Answer:
5) 27/70
6) 90
Step-by-step explanation:
5) The first step in this problem is to figure out the amount of total spins. To do so, add up all of the numbers in the column "Frequency".
18 + 15 + 27 + 10 = 70.
Now, look at the amount of times the spinner landed on green. This is 27 times. So, the ratio of green spins to total spins is 27:70, or 27 out of 70 spins. Converting this to a fraction, we get the final answer, 27/70.
6) To solve this problem, we have to first do the same steps as the previous problem, but with the color red. There are 70 total spins, and 18 red spins. Therefore, the ratio is 18:70. However, this problem wants the total number of spins to be 350. In other words, 70 needs to become 350. To do this, multiply each side of the ratio by 5. The ratio becomes 90:350. Using this ratio, we can determine that a solid prediction is 90 red spins out of 350 total spins.
Answer:
a) P (x is less than 11 minutes) = 0.55
P (x is more than 14 minutes) = 0.3
b) P (x is between 8 and 13 minutes) = 0.25
c) P(x < c) =0.8 is 0.05 x c = 0.8
Step-by-step explanation:
a) P (x is less than 11 minutes) = 11 x 0.05
= 0.55
P (x is more than 14 minutes) = 0.05 x (20 - 14)
= 0.05 x 6
= 0.3
b) P (x is between 8 and 13 minutes) = 0.05 x (13 -8)
= 0.05 x 5
= 0.25
c) P(x < c) =0.8
The area between 0 and c is 0.8
Hence,
0.05 x c = 0.8
