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hichkok12 [17]
3 years ago
15

The number of ways 8 cars can be lined up at a toll booth would be computed from

Mathematics
1 answer:
stepladder [879]3 years ago
5 0

Answer: c. 8!

Step-by-step explanation:

We know , that if we line up n things , then the total number of ways to arrange n things in a line is given by :-

n! ( in words :- n factorial)

Therefore , the number of ways 8 cars can be lined up at a toll booth would be 8! .

Hence, the correct answer is c. 8! .

Alternatively , we also use multiplicative principle,

If we line up 8 cars , first we fix one car , then the number of choices for the next place will be 7 , after that we fix second car ,then the number of choices for the next place will be 6 , and so on..

So , the total number of ways to line up 8 cars = 8 x 7 x 6 x 5 x 4 x 3 x 2 x1 = 8!

Hence, the correct answer is c. 8! .

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I NEED HELP ASAP!!!!!!!
DIA [1.3K]

Answer:

f(-3)= 15

Step-by-step explanation:

f(-3) means x is equal to -3

-3 squared - 2(-3)

-3*-3 -2(-3)

*Negative multiplied by a negative equals a positive

9+6= 15

f(-3)= 15

Hope this helps!

3 0
3 years ago
Read 2 more answers
A group of 62 students were surveyed, and it
Bingel [31]

Answer:

29 students liked apples, but not bananas and guavas at the same time. (11 students liked apples and liked neither bananas nor guavas.)

9 students liked bananas only.

26 students liked apples or bananas but not guavas.

59 students liked bananas or guavas or apples, (That is the number of students that liked one or more of the three fruits.)

12 students liked apples and guavas but not bananas.

Step-by-step explanation:

Start by drawing a Venn Diagram. (Refer to the first attachment.)

  • The outermost rectangle denotes the set of all 62 students that were surveyed.
  • The top-left circle denotes the set of surveyed students that liked apples.
  • The top-right circle denotes the set of surveyed students that liked bananas.
  • The other circle denotes the set of surveyed students that liked guavas.

Using information from the question, fill in the number of students in each section.

Start with intersection of all three circles denotes the set of surveyed students that liked all three fruits.

The question states that there are 5 students in this set. Besides, this set isn't a superset of any other set. Therefore, write the number 5\! in the corresponding place without doing any calculation.

Continue with the intersection of students that liked two fruits only. For example, the question states that 11 surveyed students liked apple and bananas. However, that 11\! students also include the 5 surveyed students that liked all three fruits (apple, banana, and guava.) Therefore, only 11 - 5 = 6 surveyed students liked apple and banana only (but not guava.)

Similarly:

  • 15 - 5 = 10 surveyed students liked bananas and guavas only.
  • 17 - 5 = 12 surveyed students liked apples and guavas only.

The question states that 33 surveyed students liked guavas. However, among that 33\! students:

  • 10 of them also liked banana but not apples (bananas and guavas only.)
  • 12 of them also liked apples but not bananas (apples and guavas only.)
  • 5 of them also liked apples and bananas (all three fruits.)

Therefore, only 33 - 10 - 12- 5 =6 surveyed students liked guava but neither apple nor banana (guava only.)

Similarly:

  • 34 - 6 - 5 - 12 = 11 of the surveyed students liked apples but neither guava nor banana (apple only.)
  • 30 - 6 - 5 - 10 = 9 of the surveyed students liked bananas but neither apple nor guava (bananas only.)

Among the 62 surveyed students, 62 - (11 + 6 + 9 + 12 + 5 + 10 + 6) = 3 of them liked none of the three fruits.

Refer to the second diagram attached for the Venn Diagram with the corresponding numbers.

Students that liked apples but not bananas and guavas at the same time include:

  • Students that liked apples only.
  • Students that liked apples and bananas, but not guavas (apple and banana only.)
  • Students that liked apple and guavas, but not bananas (apple and guava only.)

These three subsets include 11 + 6 + 12 = 29 surveyed students.

It was previously found that 9 students liked bananas only.

Students that liked apples or bananas but not guavas include:

  • Students that liked apples only.
  • Students that liked bananas only.
  • Students that liked apples and bananas, but not guavas (apple and banana only.)

That include 11 + 6 + 9 = 26 surveyed students.

Among these surveyed students, 11 + 6 + 9 + 12 + 5 + 10 + 6 = 59 of them liked at least one of the three fruits.

It was previously found that among these surveyed students, 12 of them liked apples and guavas only. That gives the number of students that liked apples and guavas, but not bananas.

3 0
2 years ago
The temperature in the afternoon is -8°F. In the evening, the temperature is 6°F colder than in the afternoon.
Neporo4naja [7]

Answer:

-8-6

-8+6

6-(-8)

Step-by-step explanation:

5 0
3 years ago
If you buy a bat and ball for $1.10 and the bat is $1 more than the ball most people would answer that the ball costs 10c. Howev
Marina CMI [18]

Answer: the right cost is $1.05 for a bat and 0.5c for a ball.


Step-by-step explanation:

Let's imagine x in the price of bat and y is the price of the ball

From the infor we know that:

x + y= 1.10 (dollars)

and since the bat is $1 more than the ball we can ensure that:

x - 1 = y

Now we can replace y as follow:

x + x - 1 = 1.10

2x - 1 = 1.10

2x = 1.10 + 1

2x = 2.10

x= 2.10/2= 1.05 (dollars)


5 0
3 years ago
7. Solve the absolute value equation or indicate that the equation has no solution
spin [16.1K]

Answer:x

Step-by-step explanation:

6 0
2 years ago
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