Answer: 10
Step-by-step explanation:
In a right angle triangle
Hypothenus ^2= opposite ^2+ adjacent ^2
According to a diagram below
Hypothenus =15
Opposite =?
Adjacent =11
Substitute for the values
15^2=11^2+opp^2
Opp^2=15^2-11^2
0pp^2= 225-121
Opp2=104
Opp= square root of 104
Opp= 10.2
Opp= ~10
A. X ~ N(66, 6.25)
b.
Using a standard normal probability table to find probability values for the z-scores, we get:
P(65 < X < 69) = 0.1554 + 0.3849 = 0.5403
c. z= 0.524 and -0.524
1.31 = X - 66
X = 67.31
When z = -0.524, X = 64.69.
P(64.69 < X < 67.31) = 0.4
We have three similar triangles, let's see if we can get this right, right vertex first, then other vertex from small side:
EDF ~ GDE ~ GEF
As ratios that means
ED:DF:EF = GD:DE:GE = GE:EF:GF
x:20:y = 5:x:GE = GE:y:15
Since we're after y we choose
20/y = y/15
20(15) = y²
y² = 300
y = 10√3
y ≈ 17.32
1. D - Since it's random, everyone has an equal chance of being picked
2. B - Since the people are already registered voters it would be easier to get a response from them. Plus, picking ever 10th person makes it random.
3. false - a fair question wouldn't make assumptions about the population
4. B - "Don't you think" causes the answerer to be pushed towards saying yes
hope this helps :)
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