Answer:
1.associative property of addition
2.commutative property of addition
3.additive inverse
4.additive identity
Step-by-step explanation:
Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.
2 standard deviations = 2 × 0.5 = 1
63 - 1 = 62 seconds
63 + 1 = 64 seconds
Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.
Answer:
100% of 180 = 180
25% of 180 = 45
-75% of 180 = -135
37.5% of 180 = 67.5
Step-by-step explanation:
I looked them up on an app so I hope its right!
I will have "x" represent the unknown number, or you could use a "?", doesn't matter.
[8 is less than or equal to (≤) the quotient (÷) of a number and -4, so the number is being divided by -4]
If you need to solve this, you need to isolate/get the variable "x" by itself in the inequality:
Multiply -4 on both sides to get rid of the fraction and get "x" by itself
When you multiply/divide by a negative number, you flip the sign (< >)
-32 ≥ x [-32 is greater than or equal to x, or x is less than or equal to -32]