Can someone please please help me with my math , english and health questions. im failing in all these classes and extremely nee
1 answer:
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<em><u>The recursive formula to find nth term of sequence is:</u></em>
and n = 1, 2, 3, ....
<em><u>Solution:</u></em>
Given a sequence is:
3, 7, 11, 15, 19, 23, 27, 31, 35
<em><u>Let us find the difference between terms</u></em>
7 - 3 = 4
11 - 7 = 4
15 - 11 = 4
19 - 15 = 4
23 - 19 = 4
27 - 23 = 4
31 - 27 = 4
35 - 31 = 4
Thus the difference between terms is constant
Thus the given sequence is arithmetic sequence
An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant
<em><u>The nth term of arithmetic sequence is given by:</u></em>
= the nᵗʰ term in the sequence
= the first term in the sequence
d = the common difference between terms
Here in the given sequence
d = 4
Substitute in above formula,
<em><u>Thus the recursive formula to find nth term of sequence is:</u></em>
and n = 1, 2, 3, ......
Answer:
The second statement is correct
Step-by-step explanation:
Hello!
The table shows the information of the favorite film genre of the students of the class regarding their gender.
You have to prove which statement is correct:
1)The probability of randomly selecting a student who has a favorite genre of drama and is also female is about 17 percent.
If you chose a student at random, you need to calculate the probability of its favorite genre being "Drama" (D) and the student being female (F), symbolically: P(D∩F)
To do so you have to divide the number of observed students that are female and like drama by the total number of students:
P(D∩F)=
This means that the probability of choosing a student at random and it being a female that likes drama is 10%.
<em>This statement is incorrect.</em>
2) Event F for female and event D for drama are independent events.
Two events are independent when the occurrence of one of them doesn't affect the probability of occurrence of the other one.
So if F and D are independent then:
P(F)= P(F|D)
-or-
P(D)=P(D|F)
The probability of the event "Female" is equal to
The probability of the event "Drama" is:
As you can see P(F)= 0.6 and P(F|D)= 0.6 so both events are independent.
<em>This statement is correct.</em>
3) The probability of randomly selecting a male student, given that his favorite genre is horror, is 16/40
This is a conditional probability, you already know that the student likes horror movies (H), and out of that group you want to know the probability of the student being male (M):
<em>This statement is incorrect.</em>
4) Event M for male and event A for action are independent events.
Same as the second statement, if the events "Male" and "Action" are independent then:
P(M)= P(M|A)
-or-
P(A)= P(A|M)
and
P(M)≠ P(M|A) the events are not independent.
<em>This statement is incorrect.</em>
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I hope this helps!
