Answer:
Answer:
x = √70
Step-by-step explanation:
The triangles shown are all similar, so the corresponding sides are proportional.
hypotenuse/long side = x/7 = (7+3)/x
Cross-multiplying gives ...
x^2 = 7(10)
x = √70
_____
You will note that the value of x (the long side) is the geometric mean of the long segment and the whole hypotenuse.
A similar "geometric mean" relation holds for the short side:
BC = √(CD·CA)
There is yet another "geometric mean" relation that holds for the altitude:
BD = √(CD·AD)
Step-by-step explanation:
HOPE THIS HELPS
Answer:
The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.
Step-by-step explanation:
What is Confidence Interval?
The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.
The confidence interval is given by

Where
is the mean weight
is the standard deviation
is the critical value from t-table and n is the sample size.
The term
is known as margin of error.
As the sample size is decreased the corresponding margin of error increases which results in wider confidence interval which means smaller precision.
The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.
We can say with 95% confidence that the true mean weight of the rock is within the interval of (25.2, 29.1).
Answer: Fourth option is correct.
Step-by-step explanation:
Since we have given that
Timothy scored 83 out of 100.
His percentile rank in his class = 72
Clayton scored 85 out of 100.
His percentile rank in his class = 70.
Since Clayton's percentile rank is lower than Timothy's rank.
So, Timothy performed better with respect to the rest of the students in the class.
Hence, Timothy as his percentile score is higher.
Therefore, Fourth option is correct.