Answer:
0.251 kg
Step-by-step explanation:
To convert from grams to kilograms, we divide the # of grams by 1000, or move the decimal point to the right by 3.
Therefore, the answer is 0.251 kg.
The confidence interval is

.
We first find the mean. Add together all of the data points and divide by 6, the number of data points; the mean is 77.28.
Next we find the standard deviation. Find the difference between each data point and the mean; square it; find the sum; divide by the number of data points; take the square root. The standard deviation is 3.32.
To find the margin of error, we calculate the z-score associated with this level of confidence. 100-90 = 10% = 0.1; 0.1/2 = 0.05; 1-0.05 = 0.95. Using a z-table (http://www.z-table.com) we see that this is between two scores, 1.64 and 1.65; we will use 1.645.
The margin of error is given by
z * (σ/√n) = 1.645*(3.32/√6) = 2.23.
Thus the confidence interval is 77.28 +/ 2.23.
Answer:
Step-by-step explanation:
Answer:
4 Hours.
Step-by-step explanation:
Since they charge $5 for every hour, we can use 5(x) as our first variable, x being the number of hours that he rented the paddle boar. Also, since they charge $8 up front, we have to subtract that from the total cost , so it would be $28 - $8. After this we divide the result ($20) by 5, since our coefficient is 5, and it costs $5 to rent it every hour. This results in 20/5, and comes out to 4 hours in total.
Answer:
D. This quadratic equation two complex solutions.
Step-by-step explanation:
Equating it with
a = 5, b = 6, c = 2
is negative.
Therefore, this quadratic equation two complex solutions.