Answer:
32:24
Step-by-step explanation:
The correct answer for this question would be the second option. <span>4x - 3y = 18 and x + 2y = 10. So in order to know why this is the answer, let us check it. Since the given numbers have fractions, let us eliminate the fractions.
2/3x - 1/2 y = 3 <<multiply both sides by 6
and we get 4x - 3y = 18 (So this one is correct)
Next,
1/2x + y = 5 << multiply both sides by 2 and we get
x + 2y = 10 (This one is correct too)
Hope this answer helps. </span>
Answer:
Rs 17 3/4
Step-by-step explanation:
Cost of 6 1/2 m = 115 3/8
Cost of 1 m = x
- x = 115 3/8 ÷ 6 1/2
- x = (115*8 +3)/8 ÷ 13/2
- x = 923/8 × 2/13
- x = 923/(4*13)
- x = 923/52
- x = 17 39/52
- x = 17 3/4
Cost of 1 meter is Rs 17 3/4
Answer: the probability it will come up heads 25 or fewer times is 0.019
Step-by-step explanation:
Given that;
n = 50
p = 0.65
so, q = 1 - p = 0.35
np = 50 × 0.65 = 32.5 ≥ 10
nq = 50 × 0.35 = 17.5 ≥ 10
so, we need to use Normal Approximation for the Binomial Distribution
μ = np = 50 × 0.65 = 32.5
σ = √(npq) = √( 50 × 0.65 × 0.35 ) = 3.3726
now, the probability that it will come up heads 25 or few times will be;
⇒ P( x≤25)
{using continuity correction}
⇒ P[ z < (25.5 - 32.5)/3.3726 ]
⇒ P[ z < -2.0755 ]
using z-table
= 0.01923 ≈ 0.019 { 3 decimal places}
Therefore the probability it will come up heads 25 or fewer times is 0.019
