First you find the probability of each coin turning up tails, then you multiply the two probabilities together:
1/2 x 1/2 = 1/4
Answer:
There is a significant linear correlation between the two variables.
Step-by-step explanation:
Given that part time weekly earnings are
x y
10 93
15 171
20 204
20 156
35 261
Correlation 0.9199
H0: r=correlatin =0
Ha: r ≠0
(two tailed test)
r difference = 0.9199
t = 
p value < 0.0001
Since p <0.05 we reject null hypothesis
There is a significant linear correlation between the two variables.
Answer:
E(X) = 17.4
Step-by-step explanation:
We can calculate the expected value of a random X variable that is discrete (X takes specific values ) as:
E(X) = ∑xp(x) where x are the specific values of x and p(x) the probability associated with this x value.
In this way the expexted value is
E(X) = ∑xp(x) =(16*0.6)+(18*0.3)+(20*0.2) = 8+5.4+4 = 17.4
Congruent means they are the same length.
Set both lines equal to each other and solve for x:
x + 5 = 2x -10
Subtract x from both sides:
5 = x -10
Add 10 to both sides:
x = 15
Now you have a value for x, replace x in the equation of the line and solve:
QR = x +5 = 15 +5 = 20
To solve the top triangle, use the sine of 45° and find the shared side length (y):
sin(45°) = y / 12
12(sin(45°) = y
y = 8.485
(The side y is opposite of the bottom triangle's 30° angle.)
Use the tangent of 30° to find the side length of x.
tan(30°) = 8.485 / x
x(tan(30°)) = 8.485
x = 8.485 / (tan(30°))
x = 14.696
The side length of x is approximately 14.696 units.
