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Brut [27]
3 years ago
9

The salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation o

f $2,500. Due to budget limitations, it has been decided that the teachers who are in the top 2.5% of the salaries would not get a raise. What is the salary level that divides the teacher's into one group that gets a raise and one that doesn't?
Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer:

54,900

hope this helps!!

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You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 201 km south and 194 km east. Mt. Rainier is locat
elixir [45]

Answer:

The answer is "0.0846276476".

Step-by-step explanation:

Let all the origin(0,0) of JBLM be  

Let the y-axis be north along with the vector j unit.  

But along the + ve x-axis is east, and all along with the vector unit i.  

And at (194,-201) that undisclosed position is  

Mt. Ris (56,-40) at  

Let the moment it gets close to the Mt. rainier bet.  

Oh, then,  

If we know, the parallel to the direction from the point was its nearest one to a path to a point,

Calculating slope:

\to m=\frac{y_2-y_1}{x_2-x_1}\\

points:  (0,0) and (194,-201)

\to m=\frac{-201 -0 }{194-0}\\\\\to m=\frac{-201}{194}\\\\\to m=-1.03

equation of the line:

\to y= mx+c\\\\\to y= -1.03\ x+c

when the slope is perpendicular= -\frac{1}{m}

                                                     = - \frac{1}{ -1.03}\\\\= \frac{1}{ 1.03}\\\\= 0.97

perpendicular equation:

\to y-(-40)=0.97  \times (x-56) \\\\\to y+40=0.97  \times (x-56) \\\\

Going to solve both of the equations to have the intersection point,  

We get to the intersect level in order to be at

(47.16,-48.5748)

so the distance from origin:

= \sqrt{(47.16^2+48.5748^2)}\\\\= \sqrt{2224.0656 + 2359.5112}\\\\=\sqrt{4583.5768}\\\\=67.7021181

\to time =\frac{distance }{speed}

= \frac{67.7021181}{800}\\\\= 0.0846276476

6 0
3 years ago
HELP WILL GIVE BRAINLIEST!!!!<br><br> How many 1/2 cups are in 3/4 cups?
Whitepunk [10]

Answer:

1 1/2 or 1.5

Step-by-step explanation:

think: half of 4 is 2 so 1 half cup would make it to 2/4

than half of that is 1/4 which is 1/2 of 1/2 a cup

adding that to 2/4 makes it 3/4 so therefore... (Peep the answer)

4 0
3 years ago
Martin had 7 pounds of grapes left, and he gave away 2 5 of them. Explain how to use compatible numbers to estimate the amount o
nalin [4]

Compatible numbers are numbers which are easy to do mental calculation. For example is when doing division like 25 and 5, 100 and 10, and 36 and 6.

First, we know that: 7 pounds=5 pounds + 2 pounds

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In mathematics, the word “of” means to multiply. So:

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Replacing 7 with 5 and 2:

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Using the distribution principle:

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3 0
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Firdavs [7]
Maybe u should try a graph
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3 πd=12 π<br> what does d equal?
Sindrei [870]

__________

D = 4

__________

i blelieve this is it.

7 0
3 years ago
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