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Aleks [24]
2 years ago
12

There are 13 teams in a tournament. Each team is to play with each other only once. What is the minimum number of days can they

all play without any team playing more than one game a day
Mathematics
1 answer:
gogolik [260]2 years ago
6 0
Team one must play against 12 different temas => 12 days

Team two, already played with team one, then only has to play 11 more days

Team three, already played with teams one and two, then there are 10 dates left.

So on,  the result is 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 78 days.

You can also find that the number of different games is 13*12 / 2! = 78

Also, you can do Combinations of 13 taken 2 at a time: 13C2 =  13! / [(2!)(11!)] = 13*12*11! /(2!*11!)= 13*12/2 = 78.
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In a recreation park a children's slide is 27 feet long and makes an able of 39 degrees with the ground. Its top is reached by a
timurjin [86]
Each angle on a triangle would add up to 180 degrees. Since a ladder goes straight up, that angle would be 90 degrees. If you add that with the 39 degree angle, you'd get 129. Subtract that from 180 and you have your answer.
3 0
2 years ago
A building has an entry the shape of a parabolic arch 84 ft high and 42 ft wide at the base, as shown below. A parabola opening
Gala2k [10]
Since the parabola passes by the center its equation is:

y = ax². But it opens downward, that means the coefficient a is negative.

Then the equation becomes:

y = - ax², with x = 0 as its axis of symmetry.

We are given that the height is 84 ft when the opening downward is 42 ft.
That means to the (height) y, corresponds x =+21 & x=-21 (due to symmetry).
In order to calculate a let's plug y & x with their related values:

y = - ax²

84 = - a(21)²

84 = - a(441) and a = - 84/441 ↔ a = - 4/21

 And the final equation is : y = -4/21. x²
3 0
2 years ago
Four tomatoes cost $3.40. What is the unit rate?
77julia77 [94]

Answer:

$0.85 per tomato

Step-by-step explanation:

A unit rate is the cost for one item. Like $0.99 for this one bag of skittles.

So $3.40 divided by four is $0.85.

8 0
2 years ago
Read 2 more answers
The double cone is intersected by a vertical plane passing through the point where the tips of the cones meet. What is the shape
Leni [432]

Answer:

B.

Step-by-step explanation:

The double cone is a cone on top of another cone. The bottom cone has the circular base on the bottom and the tip on top. The upper cone is upside down, and the two tips touch. Since the vertical plane goes through the tips of both cones, the cross section must have a shape that  gets to a point at the middle of the height.

Answer: B. One triangle with the tip on top and an inverted triangle above it with the tips touching.

6 0
2 years ago
Read 2 more answers
n 2018, homes in East Baton Rouge (EBR) Parish sold for an average of $239,000. You take a random sample of homes in Ascension p
Olenka [21]

Answer:

Conclusion

   There is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

Step-by-step explanation:

From the question we are told that

   The population mean for EBR is  \mu_ 1  = \$239,000

    The sample mean for Ascension parish  is \= x_2  = \$246,000

   The  p-value  is  p-value  =  0.045

     The level of significance is  \alpha = 0.01

The null hypothesis is  H_o : \mu_2  = \mu_1

The  alternative hypothesis is  H_a  :  \mu_2 > \mu_1

Here \mu_2 is the population mean for Ascension parish

   From the data given values we see that  

          p-value  >  \alpha

So we fail to reject the null hypothesis

So we conclude that there is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

3 0
2 years ago
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