Answer:
a = 60°
60°, 60°, 120°, and 120°.
Step-by-step explanation:
Sum of interior angles of a quadrilateral = 360°
Therefore:
a° + a° + 2a° + 2a° = 360°
Add like terms
6a = 360
Divide both sides by 6
a = 60
2a = 2(60) = 120°.
Angle measure from least to greatest are 60°, 60°, 120°, and 120°.
Answer: Reject the eight- ounces claim.
Step-by-step explanation:
For left tailed test , On a normal curve the rejection area lies on the left side of the critical value.
It means that if the observed z-value is less than the critical value then it will fall into the rejection region other wise not.
As per given ,
Objective : A coffee-dispensing machine is supposed to deliver eight ounces of liquid or less.
Then ,
, since alternative hypothesis is left-tailed thus the test is an left-tailed test.
the critical value for z for a one-tailed test with the tail in the left end is -1.645 and the obtained value is -1.87.
Clearly , -1.87 < -1.645
⇒ -1.87 falls under rejection region.
⇒ Decision : Reject null hypothesis.
i.e. we reject the eight- ounces claim.
Applying the given probabilities, it is found that there is a 0.42 = 42% probability of watching a movie today.
These following <em>probabilities </em>involve a movie being watched today:
- 0.5 of 0.6(if it rains today).
- 0.3 of 1 - 0.6 = 0.4(if it does not rain today).
Hence, adding them:

0.42 = 42% probability of watching a movie today.
A similar problem is given at brainly.com/question/14398287
Answer:
6 hours
Step-by-step explanation:
because if they work together it will be 9 hours slower than Kelsey's time alone.
not sure if correct