Answer:
a = 1/2 (b) (h)
Step-by-step explanation:
Use Pythagorean theorem for sub triangle on the left: 8^2 + h^2 = 22^2
Use Pythagorean again for sub triangle on the right: x^2 + h^2= 31^2
Find your base: 8+x=b
Find entire area: a = 1/2 (b) (h)
Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:

Given that μ = $72,641 and σ = $30,000.
a) x > $100000

P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814
b) n = 5
x > $100000

P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207
c) n = 10
x > $100000

P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002
Using properties of logarithms:
log(m+n) = log(m.n)
log(m-n) = log (m/n)
we get,
log(32x16/64)
On simplifying:
log(8)
and 8= 2^3
therefore,
log(2^3)
again using another property for exponents in logarithms we get:
3 log 2 <---- Answer