Answer:
Option 2 (Graph B)
Step-by-step explanation:
x ≤ ⁵/4 or x ≥ ⁵/2 represents a compound inequality containing the union of two statements. Either of the statements makes the compound inequality true.
On a graph, the small "o" indicating the start of the value of x would be full, this means ⁵/4 and ⁵/2 are included in the solutions.
Therefore, the correct graph in option 2 (Graph B), where the arrow goes from between 1 and 1.5 to your left, and the other arrow goes from 2.5 to your right.
Answer:98
Step-by-step explanation:
edge2020
Original position was let's say 40 yard line.
You must get to the 50 yard line for a first down.
Losing 26 1/3 yardage, you are at the 13 2/3 location
You would need (36 1/3) to get to the 50 yard line.
We need to 'standardise' the value of X = 14.4 by first calculating the z-score then look up on the z-table for the p-value (which is the probability)
The formula for z-score:
z = (X-μ) ÷ σ
Where
X = 14.4
μ = the average mean = 18
σ = the standard deviation = 1.2
Substitute these value into the formula
z-score = (14.4 - 18) ÷ 1..2 = -3
We are looking to find P(Z < -3)
The table attached conveniently gives us the value of P(Z < -3) but if you only have the table that read p-value to the left of positive z, then the trick is to do:
1 - P(Z<3)
From the table
P(Z < -3) = 0.0013
The probability of the runners have times less than 14.4 secs is 0.0013 = 0.13%
Answer: x+y>5 or (x+y)-5
Step-by-step explanation:
There are two potential ways of writing five less than the sum of x and y. You can use an expression or an inequality.
Inequality
By using an inequality, we would use the less than sign because 5 is <u>less than</u> the sum of x and y.
5<x+y
We can also write it where the variables are on the left side, which is usually preferred.
x+y>5
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Expression
For an expression, we would basically write an equation, but without the equals sign.
(x+y)-5
Since 5 is less than the sum of x and y, we would subtract 5 from x+y. We don't necessarily need to put parentheses around x+y since the order of operations tells us to add or subtract from left to right in order. It is still good to be specific, saying that it is the sum of x and y.