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Viktor [21]
3 years ago
13

Divid 15 into two parts such that the sum of their reciprocal is 3/10

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0
Let x and y be the 2 parts of 15 ==> x + y=15 (given)

Reciprocal of x and y ==> 1/x +1/y ==> 1/x + 1/y = 3/10 (given)


Let's solve  1/x + 1/y = 3/10 . Common denominator = 10.x.y (reduce to same denominator)

 ==> (10y+10x)/10xy = 3xy/10xy ==> 10x+10y =3xy

But x+y = 15 , then 10x+10y =150 ==> 150=3xy and xy = 50

Now we have the sum S of the 2 parts that is S = 15 and 
their Product = xy =50
Let's use the quadratic equation for S and P==> X² -SX +P =0
Or X² - 15X + 50=0, Solve for X & you will find:
The 1st part of 15 is 10 & the 2nd part is 5
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A survey of 1000 high school students found that 781 students own a cell phone and 133 of those students who own a cell phone al
kirza4 [7]

This question is not complete. Find attached the complete question and the figure showing the two way table.

Answer:

a. P(owns a cellphone) = 781/1000

b. P(does not own a PS4) = 421/500

c. P(owns a PS4 U does not own a cellphone) = 377/1000

d. P(owns a PS4 n does not own a cellphone) = 25/158

e. P(owns a PS4 | own a cell phone) =

158/1000

f. P(owns a cellphone | own a PS4) = 781/1000

Step-by-step explanation:

Total number of students = 1000 students

We have two variables,

1. The students who own cellphones

2. The students who own PS4

a. P(owns a cellphone)

From the question and the table, we are told that 781 people own cellphones.

Hence, P(owns a cellphone) = 781/1000

b. P(does not own a PS4)

From the attached table, we can see that the number of students that does not own a PS4 = 842

Hen P(does not own a PS4) = 842/1000 = 421/500

c. P(owns a PS4 U does not own a cellphone) =

First we find the Probability of student that owns a PS4

Number of students that own a PS4 = 158

P(owns a PS4 ) = 158/1000

Number of students that does not own a cell phone = 219

P(does not own a cell phone) = 219/1000

Therefore, P(owns a PS4 U does not own a cellphone) = P(owns a PS4 ) + P(does not own a cell phone)

= 158/1000 +219/1000

= 377/1000

d. P(owns a PS4 n does not own a cellphone) =

From the table, we obtain that as =

25/158

e. P(owns a PS4 | own a cell phone) =

P(owns a PS4 n own a cell phone) ÷ P(own a cell phone)

= P(owns a PS4)

From the table that would give us = 158/1000

f. P(owns a cellphone | own a PS4) =

P(owns a cellphone n own a PS4) ÷ P(own a PS4)

= P(owns a cellphone

From the table, this is given as :

781/1000

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3 years ago
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Exact
Approximation
Estimate
Exact
8 0
3 years ago
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