Answer:
Total expected amount = $0.04375
Step-by-step explanation:
We need to calculate probability of getting heads on every combination of coin tosses
HHH = 1/8 = 3 heads
HHT = 1/8 = 2 heads
HTH = 1/8 = 2 heads
HTT = 1/8 = 1 head
THH = 1/8 = 2 heads
THT = 1/8 = 1 head
TTH = 1/8 = 1 head
TTT = 1/8 = 0 head
So the probability of 3 heads is 1/8 and the amount is (1/8)* 0.14 = $0.0175
Probability of 2 heads is 3/8 and the amount is (3/8) * 0.06 = $0.0225
Probability of 1 head is 3/8 and amount is (3/8) * 0.01 = $0.00375
Total expected amount = 0.00375 + 0.0225 + 0.0175
Total expected amount = $0.04375
Answer:
Option (a) 45.31
Step-by-step explanation:
Data provided in the question:
Standard deviation, σ = 0.08 mm
Sample size, n = 30
standard deviation of 30 samples, s = 0.10
Now,
σ² = (0.08)² = 0.0064
s² = (0.10)² = 0.01
Test Statistic = [ ( n - 1) × s²] ÷ σ²
or
Test Statistic = [ (30 - 1 ) × 0.01 ] ÷ 0.0064
= ( 29 × 0.01 ) ÷ 0.0064
= 45.31
Hence,
Option (a) 45.31
Answer:
∠ZVW= 45
∠ZWV = 31
x=1
Step-by-step explanation:
Properties of a Parallelogram ( including diagonals )
Diagonals of a parallelogram bisect each other.
The diagonals are cut into two equal parts
Opposite angles are congruent
Given this information we need to find x, ∠ZVW and ∠ ZWV
First lets find x
Like stated previously diagonals cut each other into two equal parts
That being said segment WZ ≅ segment ZY
Knowing this we create an equation
2z-1=1
step 1 add 1 to each side
-1 + 1 cancels out
1 + 1 = 2
now we have 2x = 2
step 2 divide each side by 2
2x/2=x
2/2=1
we're left with x = 1
Now lets find ∠ZVW
∠ZVW and ∠ZXY happen to be opposite angles ( opposite angles are congruent )
This means that because ∠ZXY = 45 ∠ZVW also = 45
Now lets find ∠ZWV
∠ZWV and ∠XYZ happen to be opposite angles ( like stated previously, opposite angles are congruent)
So because ∠XYZ = 31 ∠ZWV also = 31
Answer:
F
Step-by-step explanation:
Since f(x) and g(x) are a negative quadratic (aka, looks like an upside down U), two of them have maximum points and not minimum points. h(x) is the only one with a minimum point.
