1) x= 2
6x2+10=22
2) x = 2
6x2-4=4x2
Percent of Change:
Difference/Original
(20-16)/16 = 4/16 = 1/4 = 25% increase
32+20=52 so there are 52 people in all.
32/52 people are men.
we now have to subtract 1 from this fraction like so 32-1/52-1 since the magician took away 1 man from the audience (therefore reducing the amount of men as well as the audience as a whole) resulting in 31/51
we multiply 32/52 with 31/51 to get 248/663. simply turn this fraction into a percent by multiplying the quotient by 100 and rounding it to the nearest tenth to get 37.4%
Answer: Our required probability is 0.515.
Step-by-step explanation:
Since we have given that
Probability that the respondents voted in favor of Scot Walker P(F) = 56%
Probability that the respondent voted in not favor of Scot Walker = 100-56 = P(F')=44%
Probability of those who did vote in favor had a college degree = 36% = P(C|F)
Probability of those who did vote against had a college degree = 44% = P(C|F')
So, we will use "Conditional Probability":
probability that he voted in favor of Scott Walker given that they had a college degree is given by

Hence, our required probability is 0.515.
Answer:
a pair of corresponding sides must be shown congruent
Step-by-step explanation:
The triangles are "similar" if corresponding angles are congruent. The triangles will only be "congruent" if corresponding sides are also congruent. The additional information needed is that <em>there is one congruent pair of corresponding sides</em>. (If there's one pair, all pairs of corresponding sides will be congruent.)
Having one pair of corresponding sides congruent would allow you to invoke either of the ASA or AAS congruence postulates.