Which value of x makes the open sentence true?
1 answer:
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Given Information:
Mean weekly salary = μ = $490
Standard deviation of weekly salary = σ = $45
Required Information:
P(X > $525) = ?
Answer:
P(X > $525) = 21.77%
Step-by-step explanation:
We want to find out the probability that a randomly selected teacher earns more than $525 a week.
The z-score corresponding to 0.78 from the z-table is 0.7823
Therefore, there is 21.77% probability that a randomly selected teacher earns more than $525 a week.
How to use z-table?
Step 1:
In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 0.7, 2.2, 1.5 etc.)
Step 2:
Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.78 then go for 0.08 column)
Step 3:
Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.
7.2 units is the distance between the two points (-5,3) and (1, -1).
The formula used for determining the distance between two points is shown below. In case this equation is used for finding the distance between the origin and a point, the value of x1 and y1 would just be equal to zero.
distance =
The given points can be directly substituted for the formula.
Let: x2= 1, x1= -5, y2= -1, and y1= 3
distance =
distance =
distance = or 7.21 units
When rounded to the nearest tenth, the distance between the two points would be 7.2 units.
For more information regarding the distance between points, please refer to the link brainly.com/question/23848540.
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