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Sav [38]
4 years ago
11

A golfer attempts to hit a golf ball over a valley from a platform above the groun

Mathematics
1 answer:
leonid [27]4 years ago
3 0

Answer: NO

Step-by-step explanation:

The functions that models the height of the ball is given as

h(t) = -5t2 + 40t + 100

Where

a = -5, b = 40, c = 100

The time the ball will reach the maximum height will be the vertex of the parabola. At the line of symmetry, the time t will be:

t = -b/2a

Substitute b and a into the formula above.

t = - 40 / -5 = 8

Substitute 8 for t in the function f(t)

h(t) = - 5(8)^2 + 40(8) + 100

h(t) = -5(64) + 40(8) + 100

Open the bracket

h(t) = -320 + 320 + 100

h(t) = 100

The maximum height of the ball is 100m

Given that the power lines is 185 metres above the ground. The golf ball will therefore not hit power lines because the maximum height the ball can go is 100 metres

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3 years ago
The mean number of hours of part-time work per week for a sample of 317 teenagers is 29. If the margin of error for the populati
Shtirlitz [24]

Answer:

The degrees of freedom are given by:

df=n-1=317-1=316

And replaicing we got:

29-2.1=26.9    

29+2.1=31.1    

The 95% confidence interval would be between 26.9 and 31.1

Step-by-step explanation:

Information given

\bar X= 29 represent the sample mean

\mu population mean

s represent the sample standard deviation

ME= 2.1 represent the margin of error

n represent the sample size  

Solution

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

And this formula is equivalent to:

\bar X \pm ME[/te]xThe degrees of freedom are given by:[tex]df=n-1=317-1=316

And replaicing we got:

29-2.1=26.9    

29+2.1=31.1    

The 95% confidence interval would be between 26.9 and 31.1

7 0
4 years ago
Jayden school is selling tickets to play on the first day of ticket sales to school sold six adult tickets and 12 child tickets
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5 0
3 years ago
Factorise the completely 3ax+2ay+6bx+4by​
aliina [53]

Answer:

3ax+2ay+6bx+4by

= 3ax+ 6bx+ 2ay + 4by

= 3x(a+2b) +2y(a+2b)

= (3x+2y)(a+2b)

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3 years ago
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Due to fire laws, no more than 720 people may attend a performance at Metro Auditorium. The balcony holds 120 people. There are
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p=people
s=seats
r=rows

There are 32 rows with x amount of seats but only p amount of people can be in the auditorium due to fire laws.
32r=x>p
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3 years ago
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