Answer:
Step-by-step explanation:
a)
zo=(89.0-92.2)/sqrt((1.5/15)+(1.2/20))
zo=-8.00
p-value=0.0000
Reject the null hypothesis.
b)
95% confidence interval for difference
=(89-92.2)+/-1.96*sqrt((1.5/15)+(1.2/20))
=-3.2+/-0.78
=(-3.98, -2.42)
If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore
ΔABC is similar to ΔADE.
The sides of smaller triangle are in proportion with sides of bigger triangle.
Therefore we have the equation:
We have AC = x, AE = x + 15, AB = 8, AD = 8 + 10 = 18.
Substitute:
<em>cross multiply</em>
<em>use distributive property a(b + c) = ab + ac</em>
<em>subtract 8x from both sides</em>
<em>divide both sides by 10</em>
<h2>Answer: AC = 12</h2>
This is true. The closer to the mean that a value is, the more likely it is to occur.
In this case, two and three standard deviations away are both fairly unlikely, however, two is still more likely to occur than three.
D. become larger because 8/6 is larger than 1
