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Irina18 [472]
3 years ago
11

From eight different books, in how many ways can any four of them be arranged side by side on a bookshelf?

Mathematics
1 answer:
Snezhnost [94]3 years ago
3 0
First we calculate how many ways you can choose four books from a set of eight.
We use the formula n! / [r! * (n-r)!]

8! / [4! * 4!]

= 8*7*6*5 / 4*3*2*1 = 70 ways

Then we have to calculate how many permutations can be made from 4 objects which equals 4*3*2*1 = 24

So, the TOTAL number of ways = 70 * 24 = 1,680


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What is the distance between p(-300, 200) and Q(500, 400)?
alina1380 [7]

Answer:

200 √17

Step-by-step explanation:

distance between two points (x,y) and (x',y')

D² = (x' - x)² + (y' - y)²

D² = (500 - (-300))² + (400 - 200)² = 640000 + 40000 = 680000

D = √680000 = √4 x 17 x 10000 = 200 √17

7 0
3 years ago
Pllsss help
alexgriva [62]

Answer:

A. |x|=9 D. -|-x|=-9 F. |-x|=9

Step-by-step explanation:

a. |9|=9

D. -|9| = -9

F. 9=9

7 0
2 years ago
Just answer 9 and 10
grin007 [14]
Answer: (in point slope form as asked)
9: y-1=3(x-0)
10: y+3=-1(x-2)
Why?
Point slope equation: y-y1=m(x-x1)
M=slope
Y1= y for first point
X1= x for first point
9: First I found the slope but moving up 3 over 1 from point 0,1 up to point 1,4 because slope = rise/run this gave me 3.
10: I started at point 2,-3 and moved up to point 1,-2 which shows that the slope is 1, BUT it is a negative line so it’s a -1. Then because the equation for point slope is subtraction and -3 is negative it becomes addition

Hope this helps :D (comment if you need me to explain better)
4 0
2 years ago
The prop ability that an event will occur is 1. Which of the following best describes the likehood of the event occurring?
Liula [17]
When the probability of an event  is = 1 that means it's no longer a probability but a certainty, an assertion instead.

If today is Thursday, what is the probability tat tomorrow will be Friday?
It's equal to 1 since certainly tomorrow will be Friday

However In noticed that your problem is incomplete, hence we can't answer your last question

3 0
3 years ago
Some researchers claim there is an association between taking vitamins and gaining weight. They took a random sample of people l
netineya [11]

Answer:

The probability that he or she has gained weight, given that he or she takes more than one vitamin per day is 0.47

Step-by-step explanation:

                                       Has Gained Weight        Has Not Gained Weight

Does not take vitamins                          52                                   19

Takes one vitamin per day                    35                                   49

Takes more than one vitamin per day 72                                    80

We are supposed to find the probability that he or she has gained weight, given that he or she takes more than one vitamin per day

A= he or she has gained weight

B=he or she takes more than one vitamin per day

P(A|B)=\frac{P(A \cap B)}{P(B)}

A \cap B = 72

B = 72+80=152

So,P(A|B)=\frac{72}{152}=0.47

So, Option C is true

Hence the probability that he or she has gained weight, given that he or she takes more than one vitamin per day is 0.47

6 0
2 years ago
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