Trying to fine the estimate by using multiplication of $3,611÷6

Of the 32 students in a class, 18 play the violin, 16 play the piano, and 7 play neither.

german

Answer:

(a)9

(b)I. 0.28125

II. 0.46875

III. 0.25

Step-by-step explanation:

There are a total of 32 students, therefore the number of elements in the Universal set, n(U)=32

$1$8 play the violin, n(V)=18\\16 play the piano, n(P)=16\\ 7 play neither, n(P \cup V)' =7$

(a)The Venn diagram is attached below.

$n(U)=n(V)+n(P)-n(V \cap P)+ n(P \cup V)'\\32=18+16+7-n(V \cap P)\\32=41-n(V \cap P)\\n(V \cap P)=41-32\\n(V \cap P)=9\\$

Therefore, 9 students play both the violin and piano.

(b)

I. Probability that the student plays the violin but not the piano

Number of Students who play violin only =18-x=18-9=9

$P(V \cap P') = \dfrac{n(V \cap P')}{n(U)}\\= \dfrac{9}{32}\\=0.28125$

ii.Probability that the student does not play the violin

Number of Students who does not play violin only =17-x+7=17-9+7=15

P(does not play violin only)

$= \dfrac{15}{32}\\=0.46875$

iii.Probability that the student plays the piano but not the violin

Number of Students who play piano only =17-x=17-9=8

$P(V' \cap P) = \dfrac{n(V' \cap P)}{n(U)}\\= \dfrac{8}{32}\\\\=0.25$

3 0

3 years ago

What is 151% of 70.Please explain how u did it.

zaharov [31]

Answer:105.7

Step-by-step explanation: 1.51 times 70

8 0

2 years ago

Read 2 more answers

Nisha and Marcie Drive 20 miles from sisters to hoodoo to go skiing. The speed limit is 75 555 miles per hour. It snowed all nig

slamgirl [31]

If you meant to write this;Nisha and Marcie Drive 20 miles from their sisters to hoodoo to go skiing. The speed limit is 55 miles per hour. It snowed all night, and the safe speed to drive is 40 miles per hour. Explain how you can determine how many more minutes it takes to drive 20 miles at 40 miles per hour in a 55 miles per hour zone.
If you drive 20 miles at 40 mile per hour, then 20 miles divided by 40 miles equals .5.5 times 60 minutes (one hour) is 30 minutesIf you drive 20 miles at 55 mile per hour, then 20 miles divided by 55 miles equals .3636.3636 time 60 minutes (one hour) is 21.8 minutes30 minutes at 40 mph minus 21.8 minutes at 55 mph is 8.2 minutes faster

8 0

3 years ago

6 ÷ 2(1 + 3)<br> Solve it.

Talja [164]

Answer:

12

THATS THE ANSWER THAI GET OVER IT!!

Step-by-step explanation:

8 0

2 years ago

What is the length of the diagonal of the triangle?

Setler79 [48]

Answer:

21.25

Step-by-step explanation:

use the Pythagorean theorem, it is given that the shape is a rectangle so all opposite sides are congruent and all angles are right, since we know that the diagonal forms a right triangle we can use the pythagorean theorem

the Pythagorean theorm is a^2+b^2=c^2 where a and b are the legs (in this case the side of the triangle) and c is the hypotenuse which is the longest side in a right triangle

17^2+12.75^2=x^2

x^2=7225/16

now take the square root of both sides and you get -21.25 and 21.25

distance CAN NOT be negative so -21.25 isn't an option

7 0

3 years ago