Select the inequality that corresponds to the given graph. graph of an inequality with a solid line through the points negative
8 comma 0 and 0 comma negative 4 and shading above the line A 4x − 3y > − 12 B x + 4y > 4 C 4x − 2y < − 8 D 2x + 4y ≥ − 16
2 answers:
You might be interested in
Question:
To a survey of 290 newspaper readers, 181 of them read the Daily Times, 142 Read the Guardian 117 read punch and each reads at least one of the three papers if 75 read the Daily Times, and the Guardian, 60 read the Daily Times and punch, and 54 read the Guardian and punch : Draw a Venn diagram to illustrate this information How many readers read All three papers ,Exactly two of the papers The Guardian alone?
Answer:
39 read all three news papers,72 Exactly two Papers & 52 reads Guardian Alone
Step-by-step explanation:
We have given, A survey of 290 newspaper readers.
Who read the Daily times A=181
Who read the Guardian times B=142
Who read the punch C=117
Who read Daily Times and the Guardian A\cap B= 75
Who read Daily Times and the punch A\cap C=60
Who read Guardian and punch B\cap C=54
To find :
How many readers read All three papers, Exactly two of the papers The Guardian alone?
Solution :
Readers read all three papers is
Total survey is given by,
Total =
290 =
290 =
290-251=
So, number of readers who read all three papers is 39.
Exactly two of the papers = 36 + 21 + 15 = 72
Guardian Alone = 52
When the occurrence of one event say A does not affect the occurrence of another event say B, than the two events are said to be independent such that;
where, P(A) = probability of occurrence of event A
and P(B) = probability of occurrence of event B
(a).
Now, let event A = Sarah scores more than 175
and event B = Thomas scores more than 175
Thus, P(A)= Probability that Sarah scores more than 175 = 0.4
and P(B)= Probability that Thomas scores more than 175 = 0.2
Since, the scores are independent, thus the probability that both Sarah and Thomas scores more than 175 is,
Hence, the required probability is 0.08
(b).
When the occurrence of one event say A affects the occurrence of another event say B, than the two events are said to be dependent such that;
Now, let event A = Sarah scores more than 175
and event B = Thomas scores more than 175
Thus, P(A)= Probability that Sarah scores more than 175 = 0.4
P(B)= Probability that Thomas scores more than 175 = 0.2
and P(B|A) = Sarah scores more than Thomas given that Thomas scores more than 175 = 0.3
Thus, the required probability is calculated as follows;
Given:
To find:
The highest and lowest scores Sam could have made in the tournament.
Solution:
We have,
It can be written as
Add 288 on both sides.
and
and
Therefore, the highest and lowest scores Sam could have made in the tournament are 290 and 286 respectively.