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sesenic [268]
3 years ago
13

A soccer player kicks the ball down the field to a teammate. The height of the soccer ball above the ground, h, in relation to t

he time in seconds, t, is represented by the quadratic function shown in the table.
Time (seconds) Height (feet)
0 0
0.5 12
1 16
1.5 12
Use the table to complete the statements.

The height of the soccer ball above the ground is symmetric about the line t =
second(s).

The ball landed on the ground at t =
second(s).
Mathematics
2 answers:
olga2289 [7]3 years ago
7 0

Answer: for Plato the first t = 1 second

And the second t=2 seconds

Step-by-step explanation:

Just took the test I got 5/5

Yuri [45]3 years ago
3 0

you can see that the height is the same at 0.5sec and 1.5 sec (12ft)

so therefore the height is symmetric about the line t=(midpoint of 0.5 and 1.5)

(0.5+1.5)/2=2/2=1

so the height is symmetric about the line t=1


the ball lands on the ground when height=0

since it is symmetric about t=1, and at t=0, the height is 0

1-0=1, so the difference between symmetry and desired height is 1

we must go in the oposite direction to find the next 0 height

so from symmetry to 0 height is 1+1=2, so at t=2 seconds

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Underage drinking, Part I: Data collected by the Substance Abuse and Mental Health Services Administration (SAMSHA) suggests tha
dezoksy [38]

Answer:

a. <u>Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome.</u>

b. <u>The probability is 0.2029 or 20.29%</u>

c. <u>The probability is 0.2029 or 20.29%</u>

d. <u>The probability is 0.1671 or 16.71%</u>

e. <u>The probability is 0.9975 or 99.75%</u>

Step-by-step explanation:

<u>a. Yes, there are 10 independent trials, each with exactly two possible outcomes, and a constant probability associated with each possible outcome.</u>

b. Let's use the binomial distribution table, this way:

Binomial distribution (n=10, p=0.697)

 f(x) F(x) 1 - F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0000 0.0000

1 0.0002 0.0002

2 0.0016 0.0017

3 0.0095 0.0112

4 0.0384 0.0496

5 0.1059 0.1555

6 <u>0.2029</u> 0.3584

7 0.2668 0.6252

8 0.2301 0.8553

9 0.1176 0.9729

10 0.0271 1.0000

<u>The probability is 0.2029 or 20.29%</u>

c. If 69.7% of 18-20 years old consumed alcoholic beverages in 2008, therefore, 30.3% did not and the binomial distribution table is:

Binomial distribution (n=10, p=0.303)

 f(x) F(x) 1 - F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0271 0.0271

1 0.1176 0.1447

2 0.2301 0.3748

3 0.2668 0.6416

4 <u>0.2029</u> 0.8445

5 0.1059 0.9504

6 0.0384 0.9888

7 0.0095 0.9983

8 0.0016 0.9998

9 0.0002 1.0000

10 0.0000 1.0000

<u>The probability is 0.2029 or 20.29%</u>

d. Let's use the binomial distribution table, this way:

Binomial distribution (n=5, p=0.697)

 f(x) F(x) 1 - F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0026 0.0026

1 0.0294 0.0319

2 0.1351 <u>0.1671 </u>

3 0.3109 0.4779

4 0.3576 0.8355

5 0.1645 1.0000

P(0) + P(1) + P (2) = 0.0026 + 0.0294 + 0.1351

<u>The probability is 0.1671 or 16.71%</u>

e. Using the same binomial distribution table we used in d. we have:

P(1) + P (2) + P(3) + P(4) + P (5) = 0.0294 + 0.1351 + 0.3109 + 0.3576 + 0.1645

<u>The probability is 0.9975 or 99.75%</u>

7 0
3 years ago
Helpppppppppppppppppppppppppppp
Maurinko [17]

Answer:

You know this because $110x20%=$22.

3 0
2 years ago
What value of b will cause the system to have
Tresset [83]

9514 1404 393

Answer:

  6

Step-by-step explanation:

The value of b that makes the two lines identical is the opposite of the y-intercept of the line.

  y = 6x -6 . . . . has y-intercept = -6

The value of b is the number in the term -6, so is 6.

5 0
2 years ago
Enter the equivalent distance in km in the box.
devlian [24]
100 cm = 1m

To find 60 000cm, multiply by 600 :
60 000 cm = 600m                

To convert from m to km, divide by 1000 :
600m ÷ 1000 = 0.6km                        
3 0
3 years ago
Please help me
Stolb23 [73]

Step-by-step explanation:

option c 120

earning (in$) for 8 dog houses = 40

earning (in$) for 1 dog house= 40/8 = 5

earning (in$) for 24 dog houses= 24×5 = 120

8 0
2 years ago
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