Answer:
- <u><em>Sometimes.</em></u>
Explanation:
The statement is <em>P forward Q is true and q is true, then p is true sometimes always or never.</em>
<em />
That, written using logical symbology, is:
- p → q,
- q is true
- then p is ?
p → q is known as a conditional statement.
When the conditional p → q is true and p is also verified to be true, you must conclude that q is (necessarily) true (else the conditional would be false).
That also means that if q is verified to be false (not true), p must necessarily be false (else the conditional would be false).
Nevertheless, the fact that q is true, does not permit to conclude whether p is true or false: p can be either true or false when you only know that q is true.
Then, you cannot tell that p is true always or never; some times it could be true and others false.
Of the 100 students, 37 take only Spanish. Subtracting 37 from 100 gives us 63 students who are taking either both Spanish and Chinese or only Chinese.
So, there are 63 students who are taking Chinese (just Chinese or both Chinese and Spanish).
Since the number of students taking Chinese is 8 more than the number of students taking Spanish, 63 - 8 + 55 students taking Spanish (just Spanish or both Spanish and Chinese).
Of these 55 students, 37 are only taking Spanish, therefore, 55 - 37 = 18 students who are taking both languages.
I guess a whole lot shorter way of looking at this is: for there to be 8 more students taking Chinese than Spanish, there must be 8 more students who are taking only Chinese than who are taking only Spanish: 37 + 8 = 45. Since 37 are taking only Spanish and 45 are taking only Chinese, 100 - (37 + 45) = 18 students who are taking both languages.
Answer:
-35=x
Step-by-step explanation:
2x+10=4x+80
-2x -2x
10=2x+80
-80 -80
-70=2x
÷2 ÷2
-35=x
Answer:
Option 1
Step-by-step explanation:
Hello!
We can see that the base price for a canoe is $12, as you have to spend the $12 to get the canoe.
You also have to spend $5 per hour in the canoe, which is why "t" is being multiplied by 5.
We can also look at this graphically.
The x-axis is the number of hours, while the y-axis is the price. When x is 0 (no hours on canoe), you can see that the price is $12. But as it increases by 1 hour, the price increases by $5.
The question is incomplete. The complete question is :
A survey was done to determine the relationship between gender and subject preference. A total of 56 students were surveyed to determine if they liked math, English, social studies, or science as their favorite subject. The results were then broken down based on whether the respondent was male or female.
Which of the following is the closest to the joint relative frequency of being a male who likes social studies ?
Solution :
A two way table used in statistics and mathematics is used to show the frequencies or the relative frequencies for any two categorical variables. One of the category is represented by the rows while the other categories by a column.
Here, in this table it is given that the total surveyed = 56 students
From the table, we know that number of males who likes social studies = 8
Therefore, the closest to the joint relative frequency for being a male who likes the subject social studies is given by :
![$=\frac{8}{56}$](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B8%7D%7B56%7D%24)
![$=\frac{1}{7}$](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B1%7D%7B7%7D%24)
=0.14