Answer:
£57.6
Step-by-step explanation:
Given :The pen must have a perimeter of 24 m
Every half meter of fencing costs him £1.20
To Find : Work out the cost of the fence used to make the sheep pen.
Solution :
Cost of fencing 0.5 m = £1.20
Cost of fencing 1 m =
The pen must have a perimeter of 24 m
So, cost of fencing 24 m =
Hence the cost of the fence used to make the sheep pen is £57.6
Answer:
x ≈ 25.4 Km
Step-by-step explanation:
Using the tangent ratio in the right triangle on the right
tan54° = =
( multiply both sides by 17 )
17 × tan54° = opp , thus
opp ≈ 23.4
-------------------------------------------
Using the cosine ratio in the right triangle on the left
cos23° = =
( multiply both sides by x )
x × cos23° = 23.4 ( divide both sides by cos23° )
x = ≈ 25. 4 Km ( to the nearest tenth )
Answer:
a) A. The population must be normally distributed
b) P(X < 68.2) = 0.7967
c) P(X ≥ 65.6) = 0.3745
Step-by-step explanation:
a) The population is normally distributed having a mean () = 64 and a standard deviation (
) =
b) P(X < 68.2)
First me need to calculate the z score (z). This is given by the equation:
but μ=64 and σ=19 and n=14,
and
Therefore:
From z table, P(X < 68.2) = P(z < 0.83) = 0.7967
P(X < 68.2) = 0.7967
c) P(X ≥ 65.6)
First me need to calculate the z score (z). This is given by the equation:
Therefore:
From z table, P(X ≥ 65.6) = P(z ≥ 0.32) = 1 - P(z < 0.32) = 1 - 0.6255 = 0.3745
P(X ≥ 65.6) = 0.3745
P(X < 68.2) = 0.7967