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coldgirl [10]
3 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]3 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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A function where the independent variable is an exponent. f(x) = ab^x, where a and b are real numbers with a # 0, b&gt;0, and b
Alex787 [66]

Answer:

C

Step-by-step explanation:

C, the answer is exponential function

3 0
3 years ago
Use t = 3 and t = 7 to determine if 6t + 12 and 6(t + 2) are equivalent. Which statements are true? Check all that apply.
kobusy [5.1K]

Answer:

1. false

2. false

3. true

4. true

5. true

6. false

Step-by-step explanation:

1. The value of the first expression when t = 3 is not equal to the value of the second expression when t = 3.

2. The value of the first expression when t = 7 is not equal to the value of the second expression when t = 7.

3. The value of both expressions when t = 3 is 30.

4. The value of both expressions when t = 7 is 54.

5. The expressions are equivalent.

6. The expressions are not equivalent.


6t + 12 = 6(t + 2)

6(3) + 12 =6((3) + 2)

18 + 12 = 6(5)

30 = 30

6(7) + 12 = 6((7) + 2)

42 + 12 = 6(9)

54 = 54

3 0
3 years ago
Read 2 more answers
Greatest common factor of 3 and 2
Andreas93 [3]
Gcd(3,2)=1   Hope this helps!!

(The answer is 1)
4 0
3 years ago
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The graph below is the graph of a function:
arlik [135]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
Assume the sample below is a perfectly random sample of students at a school. How much greater is the mean of the
igor_vitrenko [27]

Answer:

0.75

Step-by-step explanation:

The table is not well presented (See Attachment)

There are at least two approaches to this question

Method 1:  

Steps

1. Calculate the mean of reported heights

Mean of reported heights = (61+68+57.5+48.5+75+65+80+68+69+63)/10

Mean of reported heights = 655/10

Mean of reported heights = 65.5

2. Calculate the mean of measured heights

Mean of measured heights = (62 + 68 + 56.5 + 47 + 72 + 65 + 78 + 67 + 69.5 + 62.5)/10

Mean of measured heights = 647.5/10

Mean of measured heights = 64.75

3. Get their difference

Difference = Mean of reported heights - Mean of measured heights

Difference = 65.5 - 64.75

Difference = 0,75

Method 2: Calculate the mean of their difference

Mean of difference = Sum of difference / Number of observations

Mean of difference = (-1 + 0 + 1 + 1.5 + 3 + 0 + 2 + 1 – 0.5 + 0.5)/10

Mean of difference = 7.5/10

Mean of difference = 0.75

Note that in both cases, the result is 0,75.

Hence, the reported heights at the school is 0.75 greater than the actual measured height

3 0
3 years ago
Read 2 more answers
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