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Oliga [24]
4 years ago
6

1 divided by root6 - root11 + root5. urgent

Mathematics
1 answer:
vodomira [7]4 years ago
3 0
1/√6      -  √11        + √5

LCM = √6

(1 - (√6)*(√11) + (√5)*(√6) ) / √6


(1 - √(6*11)   + √(5*6) )/ √6


Rationalize the surd by multiplying top and bottom by  √6

((1 - √(6*11)   + √(5*6) )/ √6)    * (√6/√6)


(√6 -  √(6*6*11) + √(5*6*6)) /  √6

(√6 -  6√(11) + 6√(5)) /  6

So answer is:

(√6 -  6√11 + 6√5) / 6
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A hotel wants to know if there's a relationship between gender and the way customers make room reservations. A manager takes a r
padilas [110]

Answer:

Step-by-step explanation:

Here,

H_o: The way of reservation is independent of gender.

H_a: The way of reservation is not independent of gender.

We use a chi square test because we can calculate the expected frequencies for this chart.

Doing an Expected Value Chart,          

         

33.7625   9.7125   30.525  

39.2375   11.2875   35.475

Using chi^2 = Sum[(O - E)^2/E],          

chi^2 =    4.482385929

With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,

a =    3      

b =    2

df =    2

Thus, the critical value is

significance level =    0.05

chi^2(critical) =    5.991464547

Also, the p value is

P =    0.106331579

Thus, comparing chi^2 and chi^2(critical) [or, p and significance level], we   FAIL TO REJECT THE NULL HYPOTHESIS.

Thus, there is no significant evidence that the way of reservation is dependent of gender. [CONCLUSION]

6 0
4 years ago
Which of the following points are NOT on the graph of y = x + 2?
stepladder [879]
I would say (5,9) would not be on the graph.
5 0
3 years ago
Read 2 more answers
A right regular hexagonal prism has a height of 5 cm. The area of the base is 93.6 square centimeters and the length of one side
Sergeu [11.5K]

Answer:

367.2 cm²

Step-by-step explanation:

First, you need to find the area of the lateral surfaces, since each one is a 5cm by 6cm rectangle, all you need to do is multiply to find the area of one of them, and then multiply by 6 to find the area of all 6 sides.

lateral area = 5cm * 6cm * 6

lateral area = 30cm² * 6

lateral area = 180 cm²

Next, you need to find the total surface area by multiplying the area of the base by two and adding that to the lateral surface area.

SA = 180cm² + 2(93.6cm²)

SA = 180cm² + 187.2cm²

SA = 367.2cm²

The total surface area is 367.2 cm².

8 0
4 years ago
Write and solve a system of equations that represents each situation.
kotegsom [21]
(7+x)+x=15
I did trial and error to get x=4.
4 0
4 years ago
4 times a number is 8 more than 40. what is the number?
vivado [14]

Answer:

The number is 12

Step-by-step explanation:

4 times a number is 8 more than 40

Write the equation

4n=40+8

4n =48

Divide each side by 4 to isolate n

4n/4 = 48/4

n = 12


7 0
3 years ago
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