Answer: 20 inches
Step-by-step explanation:
using pythagorean theorem according to which hypotebous ^2=altitude ^2+base^2
c^2=a^2+b^2
c^=(12)^2+(16)^2
c^2=144+256
c^2=400
c=20
Answer:
see graph
Step-by-step explanation:
I’m pretty sure the answer is C
Answer:
623
Step-by-step explanation:
Given that margin of error (E) = 3 unit, standard deviation (σ) = 29, sample size (n) = ?
a) The confidence (C) = 99% = 0.99
α = 1 - C = 1 - 0.99 = 0.01
α/2 = 0.01 / 2 = 0.005
From the normal distribution table, The z score of α/2 (0.005) is the critical value and it corresponds to the z score 0.495 (0.5 - 0.005) which is 2.58.

b) The margin of error (E) is given as:
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The minimum sample size (n) is 623
Answer:
Step-by-step explanation:
1) the two members of the expression has 4x in common, so we can rewrite it as: 4x(3x-2)
2) we have to find two numbers that multipied give -36 and that added up give 5
the two number are 9 and -4
we can rewrite the expression as : (x+9)(x-4)
3) we have to solve the associated equation
3x^2+10x+8 = 0
Δ/4 = 25-24 = 1
x1 = (-5+1)/3 = -4/3
x2 = (-5-1)/3 = -2
now we can rewrite the expression as
3(x+4/3)(x+2) = (3x+4)(x+2)