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3 years ago

Find the value of s. 1/3s + 14=36

1 answer:

6 0

1/3s+14=36. subtract 14 from both sides
1/3s=22. divide by 1/3
s=66.66666.... round

66 2/3; 67; 66.67
either of the three above are correct

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An animal shelter has a 58% adoption rate for puppies. Of all puppies in the shelter, 80% live to be 7 years or older. Of the pu

dexar [7]

Answer:

P(A∩B) = 0.522

Step-by-step explanation:

Let's call A the event that a puppy is adopted and B the probability that a puppy live 7 or more years

So, the probability P(A∩B) that a randomly selected puppy in the shelter will get adopted and live 7 or more years is:

P(A∩B) = P(A)*P(B/A)

Because A and B are not independents.

Then, the probability P(A) that a puppy is adopted is 58% and the probability P(B/A) that a puppy live 7 or more years given that the puppy is adopted is 90%.

Finally, replacing the values, we get:

P(A∩B) = 0.58*0.9 = 0.522

It means that the 52.2% of the puppies are adopted and live 7 or more years.

7 0

3 years ago

Christina collected information about the ages of the players on her softball team. The ages were 10, 12, 14, 13, 12, 11, 13, 12

BARSIC [14]

We are told that Christina collected information about the ages of the players on her softball team. The ages were 10, 12, 14, 13, 12, 11, 13, 12, 11, 12, 12, and 13. Christina wants to describe the players’ ages in an article for the school newspaper.

Since we know that range of a data is difference between the highest and lowest values of a data set. Range of our data set will be 4 (14-10). A group of different ages could have same range as Christina's data set. So range will be not a good option.

A measure of central tendencies will be better option to represent information about ages of softball team players. Mean will give the average age of softball players.

$\text{Mean age of players}=\frac{10+11+11+12+12+12+12+12+13+13+13+14}{12}$

$\text{Mean age of players}=\frac{145}{12}=12.0833$

Let us find median of data.

10,11,11,12,12,12,12,12,13,13,13,14

$\text{Median age of softball players}=\frac{12+12}{2}$

$\text{Median age of softball players}=\frac{24}{2}=12$

We can see that average of our data is 12 years.

Therefore, a measure of central tendency will be better choice to describe ages of softball players.

7 0

3 years ago

EASY WORK!!!plz look at the photo.

Natasha2012 [34]

Answer:

first one is -6 and +6

Step-by-step explanation:

4 0

3 years ago

Rewrite this equation 2x + 3y = 6 slope intercept form

Eduardwww [97]

You have -3y=-2x+6 divide both sides by -3 and you'll get:−3y−3=−2x−3−63
its y=2/3x-2

6 0

3 years ago

Read 2 more answers

One member of the debate team is going to be chosen president. each member is equally likely to be chosen. the probability that

inessss [21]

Let
x-------> the probability that a boy is chosen
B------> number of boys in the debate team
G------> number of girls in the debate team

we know that
B+G=20-----> G=20-B-----> equation 1
probability that a boy is chosen=number of boys in the debate team/total of people
so
x=B/20-------> equation 2

the probability that a girl is chosen is 2/3 the probability that a boy is chosen
probability that a girl is chosen=(2/3)*x
probability that a girl is chosen=G/20
(2/3)*x=G/20-----> equation 3
substitute equation 1 in equation 3
(2/3)*x=[20-B]/20----> equation 4

resolve the equations system
x=B/20
(2/3)*x=[20-B]/20

using a graph tool
see the attached figure
the solution is
x=0.6
B=12
G=20-12-----> G=8

number of boys in the debate team is 12
number of girls in the debate team is 8
the probability that a boy is chosen is 0.6 ----> 60%
the probability that a girl is chosen is 0.6*(2/3)----> 0.4---> 40%

the answer is
number of girls in the debate team is 8

7 0

3 years ago