Answer: The probability that a randomly selected teacher will make more than $40,542 per year is 0.82
Step-by-step explanation:
Looking at the information given, the population mean and population standard deviation are known. We would apply the formula
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = population standard deviation
From the information given,
µ = $42335
σ = 2000
x = $40542
The probability that a randomly selected teacher will make more than $40,542 per year is expressed as
P(x > 40542) = 1 - P(x ≤ 40542)
For P(x ≤ 40542),
z = (40542 - 42335)/2000 = - 0.9
Looking at the normal distribution table, the probability corresponding to the z score is 0.18
P(x > 40542) = 1 - 0.18 = 0.82
24,48,72,96,120,144,168,192,216,240,264...360
90,180,270,360
LCM of 24 and 90 is 360
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hope it helps
Answer: 0.122449
Step-by-step explanation:
If one side is 1/7, first convert that into a decimal, which is 0.14286. Than square that 0.14286 x 0.14286= 0.020408. That’s the area of one square. Now multiply that by 6 (the number of sides in a cube) and you get 0.122449.
First you solve the brackets;
68+7 = 75
Then you add the 93;
75+93 = 168