Answer:
4 times
Step-by-step explanation:
Sample space :
6 sided cube = (1, 2, 3, 4, 5, 6)
Coin = (H, T)
Probability = required outcome / Total possible outcomes
Probability of head (H) = P(H) = 1 /2 = 0.5
Probability of 3 = P(3) = 1 /6 = 0.166666
Probability of heads and 3 on a single try = p(H) * p(3) = 0.5 * 0.166666 = 0.083333
Hence, expected number of times this is likely to occur in 48 tries :
0.083333 * 48 = 4
Answer:
The answer to your question is below
Step-by-step explanation:
Question 1
x = 5 Equation l
2x + y = 10 Equation ll
- Substitute Equation l in equation ll
2(5) + y = 10
y = 10 - 10
y = 0
- Solution (5, 0)
Question 2
x + 16y = 20 Equation l
x = 4y Equation ll
Substitute equation ll in equation l
4y + 16y = 20
20y = 20
y = 20/20
y = 1
-Find x
x = 4(1)
x = 4
-Solution
(4, 1)
Question 3
2x + 8y = 20 Equation l
x = 2 Equation ll
-Substitute equation ll in equation l
2(2) + 8y = 20
4 + 8y = 20
8y = 20 - 4
8y = 16
y = 16/8
y = 2
- Solution
(2, 2)
Answer:
Step-by-step explanation:
bvgfyr
Answer:
Option b. False
Step-by-step explanation:
we know that
A fraction is the quotient between the numerator and denominator.
To convert a fraction into a decimal number, divide the numerator by the denominator
so
The statement is False
Answer:
x = 1 ±2sqrt(5)
Step-by-step explanation:
2x^2-4x-9=29
Add 9 to each each side
2x^2-4x-9+9=29+9
2x^2-4x=38
Divide by 2
2/2x^2-4/2x=38/8
x^2 -2x =19
Complete the square
x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2
x^2 -2x +1 = 19+1
(x-1)^1=2 = 20
Take the square root of each side
sqrt((x-1)^2) = ±sqrt(20)
x-1 = ±sqrt(20)
Add 1 to each side
x-1+1 = 1 ±sqrt(20)
x = 1 ±sqrt(20)
Simplifying the square root of 20
x = 1 ±sqrt(4)sqrt(5)
x = 1 ±2sqrt(5)
