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andrew11 [14]
3 years ago
7

Salaries for teachers in a particular elementary school district are normally distributed with a mean of $49,000 and a standard

deviation of $4,500. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.)
(a) Find the 90th percentile for an individual teacher's salary.
$


(b) Find the 90th percentile for the average teacher's salary.
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
4 0

Answer:

they get a lot of moohlah

Step-by-step explanation:

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PLEASE ANSWER!!!!!! REALLY IMPORTANT
faust18 [17]

<u>Answer-</u>

<em>The height of the prism is</em><em> 6 units</em>

<u>Solution-</u>

As the base of the prism is a hexagon consisting of 2 congruent isosceles trapezoids.

So,

V_{Prism}=Area_{Base}\times Height

And,

Area_{Base}=2\times \text{Area of the trapezoid}

Also,

\text{Area of the trapezoid}=\dfrac{1}{2}\times \text{Height}\times (\text{Sum of two parallel lines})

=\dfrac{1}{2}\times 3\times (5+8)\\\\=\dfrac{39}{2}

Putting all the values,

V_{Prism}=2\times \dfrac{39}{2}\times Height=39\times Height

As the volume is given, so

\Rightarrow 39\times Height=234

\Rightarrow Height=\dfrac{234}{39}=6

8 0
3 years ago
Read 2 more answers
What is an equation of the line that is perpendicular to −x+2y=4 and passes through the point (−2, 1) ?
Elza [17]

Answer:

y=-2x-3

Step-by-step explanation:

Since our equation is in standard form Ax+By=C we must first manipulate the equation so that we have it in the slope-intercept form such that y=mx+b.  Therefore:

-x+2y=4\\2y=x+4\\\\y=\frac{x+4}{2}\\\\y=\frac{1}{2}x+2

Therefore, our slope is 1/2 and our y-intercept is 2.  Now in order to determine a perpendicular line to the one stated above we must then get the negative inverse of our slope meaning \frac{1}{2}=-2 (negative reciprocal).  Now we must use the point slope formula:

y=m(x-x_1)+y_1

Where m is the slope, x1 is -2 and y1 is 1 (because of the ordered pair given). And so:

y=-2(x-(-2))+1\\\\y=-2(x+2)+1\\\\y=-2x-4+1\\\\y=-2x-3

Therefore, the line that is perpendicular to -x+2y=4 is y=-2x-3.


6 0
3 years ago
Help me answer this question
Ne4ueva [31]

Answer:

Volume=24+192=216

Step-by-step explanation:

Pink Rectangle:

LxWxH

3x1x8

3x8

24

24+192=216

Hope this helps!

5 0
3 years ago
How many inches are in 4 1/2 feet ?
mixas84 [53]

Answer:

54.

Step-by-step explanation:

(self-explanatory.)

7 0
2 years ago
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27x+5+15x-2 what is the degree angle
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