Answer:
The coach can choose a lineup of 11 players in 6,047,981,701,347 different ways.
Step-by-step explanation:
Since the varsity soccer team has 20 players, and three of the players are trained to be goalies while the remaining 17 can play any position, and only 11 players can be on the field at once, and the coach wants to make sure there is exactly one goalie on the field, to determine how many ways can the coach choose a lineup of 11 players if exactly 1 player must be a goalie the following calculation has to be made:
3 x 17 ^ 10 = X
3 x 2,015,993,900,449 = X
6,047,981,701,347 = X
Therefore, the coach can choose a lineup of 11 players in 6,047,981,701,347 different ways.
Answer:
21/8 or 2.625
Step-by-step explanation:
Answer:
c = 43
Step-by-step explanation:
sin theta = opposite side / hypotenuse
sin 28 = 20/c
Multiply each side by c
c sin 28 = 20/c *c
c sin 28 = 20
Divide each side by sin 28
c sin 28 /sin 28 = 20/sin 28
c = 42.60108936
To the nearest whole number
c = 43
Answer:
7boxes
Step-by-step explanation:
A box can hold a maximum of 8 cans
You have a total of 50 cans
The problem here is to determine the minimum number of boxes that can hold the 50 cans
Let the minimum number of boxes = y
The minimum required will be such that:
The Product of The number of cans X Number of Required boxes ≥50
8y≥50
y≥50/8
y≥6.25
Since a box have a fractional value, the minimum number of boxes required to store 50 cans will be the nearest whole number which in this case is 7.
As described in statistics the mean standard deviation of the headway is 0.890
what is the statistics ?
The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to a problem in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.
solution:
P(0.995 ≤ x ≤ 1.445) = F(1.445) - F is the given mean value (0.995).
The distribution's cdf is
f(x) = { (1 - 1/x⁶ , x > 1) (0. x ≤ 1)
F(1.445) = 1 - (1/(1.445)⁶)
F(0.995) = 0
Now, using the values of F(1.445) and F(0.995) in P( 0.995 ≤ x ≤ 1.445) to get F(1.445) - F(0.995):
P( 0.995 ≤ x ≤ 1.445)
=1 - (1/(1.445)⁶) - 0
=0.890
Therefore the mean value of standard deviation is 0.890
To learn more about the statistics from the given link
brainly.com/question/15525560
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