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Oksana_A [137]
3 years ago
13

In the final round of a TV game show, contestants have a chance to increase their current winnings of $1 million to $2 million.

If they are wrong, their prize is decreased to $500,000. A contestant thinks his guess will be right 50 percent of the time. Should he play
Mathematics
1 answer:
guapka [62]3 years ago
8 0

Answer:

<h2>The contestant should not play.</h2>

Step-by-step explanation:

As per the given question, their current winning is $1 million.

The probability of the guessing to be true is 50% = \frac{50}{100} = \frac{1}{2}.

There is also a possibility of 50% to be wrong, which can reduced the winning amount to $500,000 that is the half of the current amount.

Hence, the contestant should not play.

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You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−11x+330, wher
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Answer:

1) Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

2) The slope of the given equation, shows that the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

Step-by-step explanation:

1) The function modelling the height of the balloon is h(x) = -11x + 330

Where;

x = The time of elevation of the balloon

The data for the graphing derived from Microsoft Excel are as follows

x    {}   h(x)

0    {}   330

5    {}   275

10    {}  220

15    {}  165

20    {}  110

25    {}  55

30    {}   0

Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

Comparing the given function to the general equation of a straight line, y = m·x + c, we have that the slope, m = -11

2) The slope of a straight line graph gives the rate of change of the dependent variable, per unit change in the independent variable

Therefore, the slope of the given equation, -11 gives the rate of change of the function per unit increase in the independent variable x

Therefore, the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

8 0
2 years ago
Read 2 more answers
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