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jarptica [38.1K]
3 years ago
9

The human resources manager at a company records the length, in hours, of one shift at work, X. He crests the probability distri

bution below. What is the probability that a worker chosen at random works at least 8 hours?
Mathematics
1 answer:
Ahat [919]3 years ago
5 0
Hello!

The words at least means that the worker needs to work 8, 9 or 10 hours. We can add probabilities, so we will add .6 (for those working 8 hours), .15 (for those working 9 hours) and .08 (for those working 10 hours) to get a total probability of .83.
Hope this helps!
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A driveway 18 ft wide and 36 ft. long is to be paved with concrete 3 in. thick. How many cubic yards of concrete are required?
amm1812

Answer:

6 yds^3

Step-by-step explanation:

I find these easiest if you put all of the dimensions into yards and then multiply

18 ft =  6 yds

36 ft = 12 yds

3 in = 3/36 yds    = 1/12 yds     now multiply them together

6 x 12 x 1/12 = 6 yds^3

8 0
2 years ago
Evaluate the limit of ((1/4 + 1/x)/(4+x)) as x -> -4​
photoshop1234 [79]

Hello from MrBillDoesMath!

Answer:

-1/16

Discussion:

Rewrite   ((1/4 + 1/x)/(4+x))  as

(1/4 + 1/x)  *  (1/(4+x)) =                 => put num. over common denom,

( (x+4)/4x) *  (1/(4+x)) =                 => cancel (x+4) from num. and denom.

(1/4x)

So as x ->-4, (1/4x) approaches ( 1/ ( 4 * (-4) )   ) = -1/16

Thank you,

MrB

6 0
3 years ago
The midpoint of CD is M(-1,-2). One endpoint is C (-9,-4). Find the coordinates of the other endpoint D.
yan [13]
\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&C&(~ -9 &,& -4~) 
%  (c,d)
&D&(~ x &,& y~)
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{ x_2 +  x_1}{2}\quad ,\quad \cfrac{ y_2 +  y_1}{2} \right)
\\\\\\
\left( \cfrac{x-9}{2}~~,~~\cfrac{y-4}{2} \right)=\stackrel{midpoint~M}{(-1~~,~~-2)}\implies 
\begin{cases}
\cfrac{x-9}{2}=-1\\\\
x-9=-2\\
\boxed{x=7}\\
----------\\
\cfrac{y-4}{2}=-2\\\\
y-4=-4\\
\boxed{y=0}
\end{cases}
6 0
3 years ago
The slope of a line is 5 /7. What is the slope of any line that is perpendicular to that line?
Lady bird [3.3K]

Answer:

-7/5

Step-by-step explanation:

The slope of a perpendicular line is the "negative reciprocal" of the slope of the original line. so just switch the numbers and put the top number into a negative.

4 0
3 years ago
What is the solution to the equation 3(y-2)=2y-8 A.-2/5 B.-14 C. -2 D. -2 4/5 I NEED-HELP PLeAse
AlladinOne [14]

3(y - 2) = 2y - 8

3y - 6 = 2y - 8

3y - 2y = -8 + 6

y = -2

Answer: C

4 0
2 years ago
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