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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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40 is 50 percent of which number
FinnZ [79.3K]

Answer:

80

Step-by-step explanation:

80 divided by 1/2 = 40 therefore 40 is  50% of 80

4 0
3 years ago
A 26-foot long ladder is leaning against a building at a 60 degree angle with the ground. Which of the following equations can y
Sati [7]

Answer:

22.5 feet (to the nearest tenth).

Step-by-step explanation:

The equations have not been given but still the question can be solved. The ladder lying with a building makes a right angled triangle, in which the ladder is the hypotenuse, the building is the perpendicular, and the ground is the base. The length of the ladder (hypotenuse) is 26 feet and the angle with the ground is 60 degrees. The required length to be found is the length of the building (perpendicular). So the following formula will be used:

sin θ = Perpendicular/Hypotenuse.

Substituting in the equation gives:

sin60 = p/26.

p = 26*sin60.

p = 22.5 (to the nearest tenth).

The approximate height of the building is 22.5 feet!!!

4 0
3 years ago
Read 2 more answers
Help help help me me
madreJ [45]

Step-by-step explanation:

Distance travelled in 113 hours = 4213 miles

Distance travelled in 1 hour

= 4213/113

= 37.283185841 miles

Hope it will help :)

6 0
3 years ago
Read 2 more answers
If an = 2n - 8, then which one is not a term of the sequence? ( an means nth term)
Phantasy [73]

Answer:

13 is answer

Step-by-step explanation:

hope it helps

3 0
2 years ago
Uhhh what is this this looks very hard
zheka24 [161]

Answer:

B. x ≤ 5

Step-by-step explanation:

This is an inequality problem. It can be solved by examining the arrow and the point it closes on. If the arrow is going left, then all values of x are going to be <u>less than</u> the point it closes on. If the arrow is going right, then all values of x are going to be <u>greater than</u> the point it closes on.
If the circle on the point the arrow is closed/shaded in, then that value will be included in the values of x, giving the inequality either a ≤ or ≥ sign depending on which way the arrow is pointing. If the circle on the point the arrow is open, then that value will not be included in the values of x. The sign will be either < or >.

---------------------------------------------------------------------------

For this problem, the arrow is going to the left of 5, which means all values of x are going to be less than 5. Because the circle is closed, that means that number 5 is included, or x can be equal to 5. If the circle was open, it wouldn't be included. So, the inequality is x ≤ 5.

hope this helps!

7 0
2 years ago
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