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Ann [662]
3 years ago
10

The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either

involved in a relationship or uninvolved. Among involved people, 15 percent experience a breakup of their relationship every month. Among uninvolved people, 30 percent enter into a relationship every month. What is the steady-state percentage of residents who are uninvolved?
Mathematics
1 answer:
Vlad [161]3 years ago
8 0

Answer:

33.33%

Step-by-step explanation:

Given :

Breakup percentage = 15

New relationship percentage = 30

To obtain the steady state percentage of residents who are uninvolved, we could relate the scenario to the natural unemployment rate relation : seperation rate ÷ (seperation rate * finding rate)

Hence, we could use the Relation as this ;

Breakup percentage ÷ (Breakup percentage + new relationship rate)

15% ÷ (15% + 30%)

0.15 ÷ (0.15 + 0.30)

0.15 ÷ 0.45

= 0.33333

= 33.33%

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Three consecutive integers have a sum of 42. Find the integers.
faltersainse [42]

Answer:

13, 14, 15

Step-by-step explanation:

Three consecutive integers have a sum of 42 means which 3 numbers in a row add up to 42

We can call the lowest integer x,

the next integer x+1 (since our integers need to be even)

the third integer x+2

algebraic equation: 42 = x + (x+1) + (x+2).

Combine like terms on the right side,

42 = 3x + 3

Subtract 3 from each side

39 = 3x

Divide each side by 3

x=13, which is our lowest integer.

The next two integers we find with 13 + 1 =.14 and 13 + 2 = 15

13 + 14 + 15 = 42.

6 0
1 year ago
Help please I don’t get itttttttt I’ll mark brainlist if I can pleaseee
Marizza181 [45]

Answer:

<u>$5.94 </u>

Step-by-step explanation:

Multiply 2.75 by $0.76 to get $2.09

Multiply 2.75 by $1.40 to get $3.85

Add $3.85 and $2.09 to get $5.94

6 0
3 years ago
) Three sides of a quadrilateral are the same length, q. The length of the fourth side is 7 inches.
Kruka [31]

Answer:

q=(40-7)/3 or simplified q=11

Step-by-step explanation:

So we know that the perimeter is 40 inches and one of the sides is 7 so logically we do 40-7 to get the length of the three remaining sides combined. Then to find the length q, we have to divide that answer by 3 because the three sides have the same length or (40-7)/3, which simplified is 11, so the length of the side is 11 inches and the expression is q=(40-7)/3.

4 0
2 years ago
What are the related frequencies to the nearest hundredth of the columns of the two way table?
Eddi Din [679]

Answer: The relative frequency of column A in group 1=0.75

The relative frequency of column B in group 1=0.25

The relative frequency of column A in group 2=0.56

The relative frequency of column B in group 2=0.44

Step-by-step explanation:

The relative frequency is the ration of each frequency by the total value in particular group.

For group 1 : Total =102+34=136

The relative frequency of column A in group 1=\frac{102}{136}=0.75

The relative frequency of column B in group 1=\frac{34}{136}=0.25

For group 2 : Total =18+14=32

The relative frequency of column A in group 2=\frac{18}{32}=0.5625\approx0.56

The relative frequency of column B in group 2=\frac{18}{32}=0.4375\approx0.44

7 0
3 years ago
What value of x would result in the numerical value of zero in the expression 7+x+(−10) ?
MAXImum [283]

Answer:

3

Step-by-step explanation:

7 plus three is 10, adding -10 to that equals zero.

4 0
2 years ago
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