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saul85 [17]
3 years ago
6

HELP!!!!

Mathematics
1 answer:
Harman [31]3 years ago
3 0
The lateral area is the area of everything but the base.  A shortcut formula for this area is Ph.  (where P is the perimeter of the base and h is the height of the prism).

So the lateral area is (3+9+9.49)x37 = 795.13 m^2  or 795 m^2

The surface area is the lateral area plus the area of the 2 bases.  The base is a triangle.  (area = 1/2 bh) 

Since there are two identical bases, the total area of the base is just 3x9 = 27

So the surface area is 795.13 + 27 = 822.13 m^2 or 822 m^2.
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An accounting firm has recently recruited six graduates: three men and three women. Three of the graduates are to be selected at
solong [7]

Answer:

a) The probability tree is constructed below

b) the probability that at least two women will be selected is 0.500

Step-by-step explanation:

Given the data in the question;

a) The probability tree is as follows;

                                                 3 men, 3 women

                                                            ↓

           _______________________|________________________

            ↓                             ↓                                  ↓                               ↓

         3 men                    2 men                          1 man                        0 men

      0 women                1 woman                     2 woman                   3 women

b) the probability that at least two women will be selected

p( at least two women would be selected) = P( there are 2 women out of 3 ) + P( there 3 women out of 3

so

p( at least two women would be selected) = C

³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃  

= 3!/(2!(3-2)!) × 3!/(1!(3-1)!)  / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)

= 3 × 3 / 20 + 1 ×  1 / 20

= 9/20 + 1/20

= 0.45 + 0.05

p( at least two women would be selected) = 0.500

Therefore, the probability that at least two women will be selected is 0.500

6 0
3 years ago
The equation having null set as its solution set is
KIM [24]

Answer:

  B) x = e^x

Step-by-step explanation:

The graphs of y = e^x and y = x never intersect, so the solution set will be the empty (null) set for ...

  x = e^x

_____

There is one intersection of y=x with cos(x) and with sin(x). There are an infinite number of solutions for x = tan(x).

4 0
3 years ago
Which of the following is equivalent to the expression below?
AlekseyPX

Answer:

h

Step-by-step explanation: j

4 0
2 years ago
Which of these is a member of the sample space when you flip a coin twice and then roll a die?
Reptile [31]
I believe it's Heads-Tails-3 
3 0
3 years ago
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The dot plots show rainfall total for several spring storms in highlands areas an lowlands areas what is the median rainfall for
tankabanditka [31]

*See attached picture showing the dot plots referred to

Answer:

16mm

Step-by-step Explanation:

Given the dot plot showing rainfall for Highlands storms, we can find out the median rainfall for Highlands storms by mere observing the dot plot and locating where the middle value falls within the data set that is represented on the dot plot.

Thus, we have 44 data sets that is being represented on the plot, with one dot representing one data set for rainfall. This means, since the total number of data set is even, our median lies between the 22nd and the 23rd dot or data set that is being plotted.

From the dot plot for Highlands, the 22nd and 23rd dots are 16 and 16 respectively.

Therefore, median rainfall for Highland storms = (16 + 16) ÷ 2 = 16.

8 0
3 years ago
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