Answer:
5/8 - (1/4)^2 = 0.5625, hope this helps!
Answer:
4.71
Step-by-step explanation:
The radius of the circle is 3 and the angle of the sector is 60°.
The area of a sector is given as:
where α = central angle of sector
r = radius of circle
Hence, the area of the sector is:
The area of the sector is 4.71
Answer:
20cm
Step-by-step explanation:
A=hb/2
h=5cm
b=8cm
A=(5*8)/2
A=40/2
A=20
Answer:
Step-by-step explanation:
10%=325
1%=32.5
325-32.5=292.5
3250+3542.5=3542.50£
So 9% increase.
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
