Answer:

Step-by-step explanation:
From the Venn diagram, n(AUB)=31
The given probabilities in the option are calculated below:

The only correct option is the probability of B which is 
Answer:
try to use socratic
Step-by-step explanation:
Answer:
Two-tailed test.
Step-by-step explanation:
There are two types of tests:
One-tailed tests and two-tailed tests.
When we only test if the mean is less or more than a value, we have a one-tailed test.
When we test if the mean is different from a value, we have a two-tailed test.
If you were to conduct a test to determine whether there is evidence that the proportion is different from 0.30, which test would you use?
Test if it is different, so a two-tailed test.
The correct answer is 317
Answer:
Hence x = y = 2
Step-by-step explanation:
Using the SOH CAH TOA identity
Hypotenuse = 2√2
Opposite = x
theta = 45
Sin theta = opp/hyp
Sin 45 =x/2√2
1/√2 = x/2√2
x = 2√2 * 1/√2
x = 2
To get y we will use the pythagoras theorem;
(2√2)² = x² +y²
(2√2)² = 2²+y²
8 = 4 + y²
y² = 8-4
y² = 4
y = √4
y = 2
Hence x = y = 2