Answer: 25
Step-by-step explanation: Well <em>percent</em> means <em>over 100</em> so we can set up an equation for this problem by reading it from left to right.
<em>What</em> means <em>x</em>, <em>is</em> means <em>equals</em>, <em>25%</em> is <em>25/100</em>, <em>of</em> means <em>times</em>, and 100 means 100. So we have the equation x = 25/100 · 100.
Simplifying on the right side of the equation,
notice that 25/100 reduces to 1/4.
So we have x = 1/4 · 100.
Think of the 100 as 100/1.
So we can cross-cancel the 100 and 4 to 25 and 1
and we have x = 1 · 25 over 1 · 1 or x = 25.
Now let's check our answer back in the original problem to see if it makes sense.
We have <em>25 is 25% of 100</em>.
Well we know that 100% of 100 would be 100 so 25% of 100 should be alot less than 100 so 25 seems to make sense.
My work is attached in the image provided.
Answer:
(E) 0.83
Step-by-step explanation:
We will solve it using conditional probability.
Let A be the event that a TV show is successful.
P(A) = 0.5
A' be event that the show is unsuccessful
P(A') =0.5
Let B be the event that the response was favorable
P(B) = 0.6
Let B' be the event that the response was unfavorable/
P(B') = 0.4
P(A∩B) = 0.5 and P(A∩B') = 0.3
We need to find new show will be successful if it receives a favorable response.
P(A/B) =
= 0.5/0.6
= 0.833