<h3>The measure of angle y is 35.68 degrees</h3>
<em><u>Solution:</u></em>
Given that,
hypotenuse 12
Opposite 7
Find the measure of angle y
y is unknown and is between the hypotenuse and adjacent side
The figure is attached below
In a right triangle, the sine of the angle is the ratio of the side opposite to the angle to the hypotenuse
Therefore,

Thus measure of angle y is 35.68 degrees
Answer:
Critical value t-score=2.701.
Step-by-step explanation:
When we calculate a confidence interval with an unknown population standard deviation, we estimate it from the sample standard deviation and use the t-score instead of the z-score.
The critical value for t depends on the level of confidence and the degrees of freedom.
If the sample size is 42, the degrees of freedom are:

For a confidence level of 99% and 41 degrees of freedom, the critical value of t is t=2.701.