Answer:
2nd option is the correct one
Answer:
It takes 147 hours for the snow to reach 62 inches.
Step-by-step explanation:
Given:
Height of the snow at the beginning = 84 inches
Rate at which the snow melts = f 0.15 inches per hour
To Find:
The time taken for the snow to reach 62 inches = ?
Solution:
Let the time taken to reach 62 inches be x
Then according to the question,
Total height of the snow - (rate of melting)(x) = 62 inches
On substituting the values,
84 - (0.15)(x) = 62
84 - 0.15x = 62
- 0.15x = 62 - 84
- 0.15x = -22
0.15x = 22
x = \frac{22}{0.15}
x= 146.6
x = 147
By right triangle trigonometry, the sine of the measure of an angle is the ratio of the opposite side of this angle to the hypotenuse.
Thus,
is a constant which can be found using a calculator:
with calc in pc: view → scientific → 27→sin = 0.45399,
thus x=34/0.45399=74.89
Answer: 74.89
Answer:
Option C) Critical value is based on the significance level and determines the boundary for the rejection region
Step-by-step explanation:
Critical Value:
- In hypothesis testing, a critical value is a point that is compared to the test statistic
- It is used to determine whether to reject the null hypothesis or accept the null hypothesis.
- If the absolute value of your test statistic is greater than the critical value,we fail to accept the null hypothesis and reject it.
- Critical value is affected by the significance level of the testing.
- It is the value that a test statistic must exceed in order for the the null hypothesis to be rejected.
Thus, option C) is the correct interpretation of critical values.
Option C) Critical value is based on the significance level and determines the boundary for the rejection region
The new length of the running trail would be 6.286 miles
