Answer:
John's currenct account balance after the deposit is $357.43.
Step-by-step explanation:
Current balance: $432.05
-$123.87
Current balance: $308.18
-$250.75
Current balance: $57.43
+$300.00
Current balance: $357.43
Answer:
See the explantion below
Step-by-step explanation:
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Assuming the X follows a normal distribution
We know that the margin of error for a confidence interval is given by:
(1)
If we see the formula (1) at the same confidence level, for example 95% and with the same sample size the margin of error just depends of the deviation. If the population deviation for population A is higher than the population deviation for B then A will have more margin of error than B.
On the other case if the deviation for population A is lower than the deviation for population B, then we will have less margin of error for population A than population B.
And the other possible case if both population have the same deviation, then both have equal margin of error.
Answer:
Answer: $2,500
Step-by-step explanation:
Marlon's parents set aside an amount of money when he was born. They earned 6.25% simple interest on that money each year. When Marlon was 18, the account had earned $2,812.50 in interest. How much money did Marlon's parents set aside when he was born?
Step-by-step explanation:
55% of 120 is just 66
add that with 120, 186
so... 186 books
In a triangle ABC, the law of cosines can be illustrated using the rules found in the attached image.
Now, applying this rule to the given triangle, we can calculate the measure of each angle as follows:cos(r) = (s^2 + t^2 - r^2) / (2st) = (9^2 + 6^2 - 14^2) / (2*9*6) = -0.73148
angle r = 137.01 which is approximately 137 degrees
cos(s) = (r^2 + t^2 - s^2) / (2rt) = (14^2 + 6^2 - 9^2) / (2*14*6) = 0.8988
angle s = 25.99797 which is approximately 26 degrees
cos(t) = (r^2 + s^2 - t^2) / (2rs) = (14^2 + 9^2 - 6^2) / (2*14*9) = 0.9563
angle t = 16.99 which is approximately 17 degrees
Summing up the calculated angles:sum = 137 + 26 + 17 = 180 degrees
which is the sum of the angles of the triangle