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coldgirl [10]
2 years ago
13

Teacher's salaries in Georgia are normally distributed with an average salary of $52,000 with a standard deviation of $12,000. W

hat percentage of teachers earn an a salary between $40,000 and $76,000?
Mathematics
1 answer:
suter [353]2 years ago
8 0

Answer:

81.85%

Step-by-step explanation:

We have the following information:

mean = m = 52000

standard deviation = sd = 12000

a = 40000

b = 76000

we need to find the probability between a and b, that is:

P (a <x <b) = P (40,000 <x <76000)

P [(40000 - m) / sd <(x - m) / sd <(76000 - m) / sd]

replacing

P [(40000 - 52000) / 12000 <z <(76000 - 52000) / 12000]

P (-1 <z <2)

P (z <= -1) - P (z <= 2)

We look for this value of z, in the attached table:

0.9772 - 0.1587

P = 0.8185

In other words, the probability is 81.85%

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Answer:

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Step-by-step explanation:

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3 years ago
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On Novenber 4, your bank statement shows a balance of $2,253.18. Your checkbook shows a balance of $2,324.34. If there are outst
ivann1987 [24]

Answer:

The final answer is "$2387.85 and $2594.85".

Step-by-step explanation:

Given values:

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Adjusted Checkbook Balance =?

Adjusted  Statement Balance=?

Adjusted the Checkbook Balance:

checkbook balance = $2,324.34

\text{total checkbook balance = checkbook balance+ credits}\\

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\text{ Adjust check book balance= total checkbook balance - servicec  charge}

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Adjusted the Statement Balance:

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\text{outstanding check amounts = $105.50+ $158.10}

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\text{ Adjust statement  balance= total statement balance - outstanding check amount }                                        = \$ 2,858.45 -  \$263.60\\\\= $ 2,594.85

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