Answer:
C. ∆LMN ~ ∆OPQ, because of AA
Step-by-step explanation:
All of the triangle congruence postulates require at least one pair of corresponding sides be congruent (in addition to other requirements). Triangle similarity can be proved if there are two pairs of congruent corresponding angles.
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<h3>congruence</h3>
No sides are given as congruent, so no congruences can be proved.
<h3>similarity</h3>
Two pairs of corresponding angles are said to be congruent, so we can say ...
∆LMN ~ ∆OPQ, because of AA
The probability of getting a gym sock is 1/5
P=2(L+W)
L=2/3x+10
W=1/3x+5
P=2(2/3x+10+1/3x+5)
P=2(2/3x+1/3x+10+5)
P=2(3/3x+15)
P=2(x+15)
P=2x+30
64 percent is your answer
<h2>
Answer : (2.67, 3.53)</h2><h2>
</h2>
Step to step explanation:
Confidence interval for mean, when population standard deviation is unknown:
, where 
= sample mean
n= sample size
s= sample standard deviation
= Critical t-value for n-1 degrees of freedom
We assume the family size is normal distributed.
Given, n= 31 , 
, s= 1.42 ,
Critical t value for 
and degree of 30 freedom
= 1.697 [By t-table]
The required confidence interval:
Hence, the 90% confidence interval for the estimate = (2.67, 3.53)
