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Vsevolod [243]
3 years ago
14

In how many ways can 4 blue flags 3 green flags and 2 flags be arranged

Mathematics
1 answer:
DaniilM [7]3 years ago
3 0
Assuming all of the same coloured flags are in<span>distinguishable,</span>

\text {Number of ways } =  \dfrac{9!}{4!3!2!} =  1260

--------------------------------
Answer: 1260 ways
--------------------------------
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In the healthy handwashing survey conducted by Bradley Corporation, a study was found that 64% of adult Americans operate the fl
Hitman42 [59]

Answer:

<em>A) It fulfills the condition of binomial experiment</em>

<em>B) P (x=12) =0.1678</em>

<em>C)P ( x ≥16)= 0.1011</em>

<em>d) P (x>17) =0.0096 < 0.5</em>

Step-by-step explanation:

A. The binomial probability distribution has the following four properties

1. the outcomes of each trial maybe classified into success and failure.

2) the probability of success p remains constant for all trials.

3) the successive trials are all independent.

4) the experiment is repeated a fixed number of times ,n.

<em>These all conditions are fulfilled by the given question so it is a  binomial experiment. </em>

<em></em>

B) P (x=12) = 20C12 (0.64)^12 * (1-0.64)^8= 0.1678

C) P ( x ≥16) = P (x=16) + P (x=17) + P (x=18) + P (x=19)+ P (x=20)

where

P (x=16)= 20C16 (0.64)^16 * (1-0.64)^4= 0.0645

P (x=17)= 20C17 (0.64)^17 * (1-0.64)^3= 0.0270

P (x=18)= 20C18 (0.64)^18 * (1-0.64)^2= 0.0080

P (x=19)=20C19 (0.64)^10 * (1-0.64)^1= 0.0015

P (x=20)= 20C20 (0.64)^20 * (1-0.64)^0= 0.0001

so

P ( x ≥16)= 0.0645+ 0.0270 +0.0080+ 0.0015+0.0001= 0.1011

d) P (x>17)= P (x=17) + P (x=18) + P (x=19)+ P (x=20)

                    =0.0270 +0.0080+ 0.0015+0.0001

                         =0.0096

From this we see that the probability of  more than 17  people who flush public toilets with their foot is unusual because it is far away from the mean which is supposed to be somewhere 0.5 in a given distribution.

8 0
3 years ago
Roberto will save 1/6 of his allowance each day. If you get two dollars a day about how much money will you save round to the ne
AlladinOne [14]
About $.33 hint: of means multiply
5 0
3 years ago
Find the slope of the line shown on the graph. Please help! :(
Anna [14]

Answer:

It's really easy just remember rise over run.

Step-by-step explanation:

so you rise 3 and run to the right 3

A great tip that helps me determine if it's positive or neagitve is if you go to the left then it's ALWAYS neagtive but if you go to the right then it's ALWAYS postive

7 0
3 years ago
Read 2 more answers
PLEASE ANSWER THIS AND SHOW WORK. FIND THE SURFACE AREA FOR THE FIGURE BELOW
Varvara68 [4.7K]

Answer:

Total surface area of the given figure is 246.75 square mile.

Step-by-step explanation:

Surface Area of the given figure = Lateral surface area + Area of the base

Lateral surface area of the figure = Sum of the areas of 5 triangular surfaces

                                                        = 5(\frac{1}{2} )(\text{Base})(\text{Slant height})

                                                        = \frac{5}{2}(7)(9.3)

                                                        = 162.75 mi²

Surface area of the pentagonal base = 84 mi²

Total surface area of the figure = 162.75 + 84

                                                    = 246.75 mi²

Therefore, total surface area of the given figure is 246.75 square mile.

8 0
2 years ago
NEED HELP FAST!!! Match each graph with the description of the trend it shows. positive linear trend, negative linear trend, exp
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A is no observable trend, B is a positive linear trend, C is a negative linear trend, and D is an exponential trend
5 0
3 years ago
Read 2 more answers
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