Answer:
Taylor = 50%
Moore = 25%
Jenkins = 25%
Step-by-step explanation:
Assuming there are no other candidates and that someone has to win the election, the probabilities of Taylor, Moore, and Jenkins winning the election must add up to 1 or 100%.
Since Moore and Jenkins have about the same probability of winning, and Taylor is believed to be twice as likely to win as either of the others:
Taylor has a probability of 50% of winning the election.
Moore has a probability of 25% of winning the election.
Jenkins has a probability of 25% of winning the election.
Answer:
a. 0.9049
b. 0.2297
c. 0.8473
Step-by-step explanation:
Given U = 46.7, SD = 1.75
and Z = (U - X)/sd
(a). We want to find P(X<=49)
P(X<=49) = P(Z<= 49-46.7/1.75)
= P(Z<= 1.31)
= 0.90490
~= 0.9049
(b) P(X>=48) = P(Z>=48-46.7/1.75)
=P(Z>=0.7429) = 1 - P(Z<=0.7429)
= 1 - 0.77035
= 0.22965
=0.2297
(c) The required probability is given by P(U±2.5).
P(46.7±2.5) = (44.2<= X <=49.2)
= P( 44.2<= Z <= 49.2)
= P(44.2 - 46.7/1.75 <= Z <= 49.2- 46.7/1.75)
= P( - 1.4286 <= Z <= 1.4285)
= P(1.4285) - P(-1.4285)
= P(1.43 ) - P(-1.43)
= 0.92364 - 0.07636
= 0.8473
The answer to this equation would be X = 3. Hope this helps!
Step-by-step explanation:
3/4x+5=-19
-5 -5
3/4x=-24
/ 3/4 / 3/4
x=-32
hope it helps! :3 let me know if you need help with other algebraic equations!
