Answer:
x = 3.4
Step-by-step explanation:
recall that for a right angle with an internal angle θ,
cos θ = adjacent length / hypotenuse
in our case,
θ = 55 deg
adjacent length = x units
hypotenuse = 6 units
substitute these into the formula above
cos 55 = x / 6 (multiply both sides by 6)
x = 6 cos 55 (use calculator)
x = 3.4415
x = 3.4 (rounded to nearest tenth)
Q.1 a²+10a+24
splitting the middle.
a²+6a+4a+24
=a(a+6)+4(a+6)
(a+6)(a+4)
Q.2 x²+9x+18
splitting the middle
x²+6x+3x+18
x(x+6)+3(x+6)
(x+6)(x+3)
0.89736
We solve this question using z score formula
Z score = x - μ/σ
x = raw score
μ = population mean
σ = population standard deviation
Hence,
x = 258, μ = 220, σ = 30
Z = 258 - 220/30
=1.26667
Probability value from Z-Table:
P(x<258) = 0.89736
Therefore, the probability that his weights is less than 258 kg is 0.89736
