Answer:
69
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:
Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:
The reason we do this is to create a perfect square binomial on the left:
(obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:
This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.
Answer:
2(15p+1)
Step-by-step explanation:
hope this helps
Answer:
At least 6907 people.
Step-by-step explanation:
Population std deviation = sigma= 10.6
Since population std deviation is known, we can use normal probability table to get sample size from confidence interval.
The sample mean weight loss is within 0.25 lb of the true population mean.
Hence margin of error < 0.25
Margin of error = z critical (std dev/n) where n = sample size
Z critical for 95% = 1.96
Hence 0.25 >1.96(10.6)/sq rt n
Simplify to get
sq rt n > 1.96(10.6)/0.25 = 83.104
Square both the sides to get
n > 83.104 square = 6906.27
i.e. sample size should be atleast 6907.
Answer:
Probability of selling no more than 3 properties in one week is 42%
Step-by-step explanation:
With 18 properties to sell and 40% chance of selling any one, it means that she can sell 7.2 properties (18 x 40%) in a week.
To sell no more than 3 properties in one week, the probability will be 3/7.2 x 100 = 0.4167
Probability is the chance of one event taking place out of many events. It is calculated as the number of the one event taking place divided by the total number of events. It is expressed in decimal or percentage form.
