Here's the Answer,
=》sin 45º = cos 45º - <em><u>True</u></em>
=》sin 30º = cos 30° - <em><u>false</u></em>
=》cos 10º = sin 80° - <em><u>true</u></em>
=》sin 15° = cos 75° - <em><u>true</u></em>
Answer:
x = 2.16
Step-by-step explanation:
Question :

Use cross multiplication.
3.5x × 5 = 9 × 4.2
17.5x = 37.8
Divide both sides by 17.5.
x = 2.16
Let me know if you have any other questions. :-)
Answer:
a) The null and alternative hypothesis are:

b) test statistic t=-5.59 (df=499).
c) P-value=0
d) Reject the null hypothesis. The sample is enough evidence to reject the inventor's claim and to conclude that the run time is lower than 300 minutes.
Step-by-step explanation:
We have to perform an hypothesis test on the mean, with estimated standard deviation. We want to test the claim that the run time differs from 300 minutes.
The null and alternative hypothesis are:

The level of significance is 0.05.
The test statistic t is

The degrees of freedom are

The P-value for this t=-5.59, with 499 degrees of freedom is P=0. The null hypothesis is rejected.
The sample result is enough evidence to reject the inventor's claim, specially because the large sample size.