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Diano4ka-milaya [45]
3 years ago
10

Huddson has practiced a 360-back flip for months. This week, he did it perfectly 24 out of 54 times. At this rate, how many time

s out of 9 attempts was the flip perfect?
Mathematics
1 answer:
iris [78.8K]3 years ago
5 0
Let x = perfect flips out of nine
\frac{24}{54}  =  \frac{x}{9}
54x = 216
x = 4
4 flips
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Box A has 14 black pens and 6 blue pens box B has 9 black pens and 3 blue pens a pen is randomly chosen from each box list these
earnstyle [38]

Answer:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Possible outcomes:

Black - Black

Black - Blue

Blue - Black

Blue - Blue

Probability of each outcome:

Black-Black:

14 out of 20, and then 9 out of 12. So

P_{BkBk} = \frac{14}{20} \times {9}{12} = \frac{14*9}{20*12} = \frac{126}{240}

Black-Blue:

14 out of 20, then 3 out of 12. So

P_{BkBl} = \frac{14}{20} \times {3}{12} = \frac{14*3}{20*12} = \frac{42}{240}

Less likely than black-black.

Blue - Black:

6 out of 20, then 9 out of 12. SO

P_{BlBk} = \frac{6}{20} \times {9}{12} = \frac{6*9}{20*12} = \frac{54}{240}

More likely than black-blue, less likely than black-black.

Blue - Blue

6 out of 20, then 3 out of 12

P_{BlBl} = \frac{6}{20} \times {3}{12} = \frac{6*3}{20*12} = \frac{18}{240}

Least likely of the outcomes.

List these events from least likely to most likely:

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6 0
3 years ago
What is the axis of symmetry of the function f(x)=-(x+9)(x-21)
Firlakuza [10]
Carry out the mult.:  f(x) = -[x^2 - 21x + 9x - 189] 

Combine like terms:  f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [   ]:      f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c:   a= -1, b=12, c=189

The equation of the axis of symmetry is    x = -b/(2a), which here equals

x = -(12)/[2(-1)], or     x = 6

This is also the x-coordinate of the vertex.  Plug x=6 into the original equation to calculate the y-coordinate.
3 0
3 years ago
Half of your baseball card collection got wet and was ruined. You bought 9 cards to replace some that were lost. How many did yo
PtichkaEL [24]

solution:

n/2 + 9 = 20

n/2=20-9

n/2=11

n=22

6 0
3 years ago
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