Answer:
1/32
Step-by-step explanation:
P(heads) = 1/2
P(5 heads) = (1/2)⁵ = 1/32
Answer:
- See below and the attachment
Step-by-step explanation:
<em>Refer to attached graph.</em>
<em>It i</em>ncludes the points and a best fit line produced by a graphing calculator.
- 17. The scatter plot is attached
- 18. There is a positive slope. Number of field goal attempts increase as minutes played increase.
- 19. The point is plotted: 2500 minutes gives about 880 field goal attempts.
Using linear function concepts, it is found that:
- a) It costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.
- b) f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.
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A <em>linear function </em>has the format given by:
In which:
- m is the slope, which is the rate of change, that is, how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
The equation for the cost of h kilowatt hours (kWh) of electricity used in excess of 250 kWh is of:
Item a:
- The slope is of , which means that it costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.
Item b:
250 + 90 = 340.
f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.
A similar problem is given at brainly.com/question/24808124
Step-by-step explanation:
For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,
b^2 - 4ac must be positive.
b^2 - 4ac > 0
(k - 3)^2 - 4(3 - 2k) > 0
k^2 - 6k + 9 - 12 + 8k > 0
k^2 + 2k - 3 > 0
The answer is x=5. This is because you need to simplify both sides and then isolate the variable.