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zheka24 [161]
3 years ago
9

The City Transit Authority plans to hire 12 new bus drivers. From a group of 100 qualified applicants, of whom 65 are men and 35

are women, 12 names are to be selected by lot. Suppose that Mary and John Lewis are among the 100 qualified applicants.
1. What is the probability that both Mary's and John's names will be selected? (Round your answer to four decimal places.)

2. If it is stipulated that an equal number of men and women are to be selected (6 men from the group of 65 men and 6 women from the group of 35 women), what is the probability that Mary's name will be selected? (Round your answer to four decimal places.)

3. What is the probability that Mary's and John's names will be selected? (Round your answer to four decimal places.)
Mathematics
1 answer:
QveST [7]3 years ago
4 0

Answer:

1. About 1/5 chance that Mary is chosen

About 1/7 chance John is chosen

2. about 0.0286 chance mary is chosen

about  0.0154 chance john is chosen

same as answer 2

Step-by-step explanation:

1.  If you do proportions, a female's chance comes to 1/5 and a male's chance comes to 1/7.

2. for females, do 1/35  and males do 1/65

same as answer 2

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Pls help I don't understand this
Rudiy27
<h3>Answer:</h3>

<u>By angle bisector property</u>,

  • 11x + 23 = 8x + 35
  • 11x - 8x = 35 - 23
  • 3x = 12
  • x = 4°

So, <u>m∠ABD</u> = 8x + 35

  • 8 × 4 + 35
  • 32 + 35 = 67°

<u>m∠CBD</u> = 11x + 23

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<u>m∠ABC</u> = 67° + 67° = 134°

4 0
2 years ago
maple syrup worth $6.00 a gallon and corn syrup worth .80 cents a gallon are used to make a mixture worth $2.36 a gallon. How ma
WITCHER [35]

maple syrup = x

corn syrup = 50-x

6x + 0.8(50-x)=2.36*50

6x+40-0.8x=118

5,2x=78

x= 15 gallons of maple syrup

50-15 = 35 gallons of corn syrup

4 0
3 years ago
What is the area of a rectangle with side lengths of 5/12 foot and 2/3 foot
Minchanka [31]

Answer:   10/36

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Complete the proof by providing the missing statement and reasons
Fittoniya [83]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
the numbers of girls in the choir is 4 times the number of boys in the choir .the total number of students is 60..how many girls
Inessa05 [86]
First, make up some variables to represent the number of Girls and Boys in the choir.  

B = number of boys
G = number of girls

You know that there are 4 times as many girls in the choir as boys.  Therefore, the equation you can write is:
\frac{B}{G} =  \frac{1}{4}

If you cross-multiply, then you get the simplified equation:
G = 4B

Intuitively this makes sense since if you multiplied the number of boys in the class by 4, that would be equal to the number of girls you have.

Now, we know that the total class size is 60. So girls plus boys equals 60:
G+B = 60

To solve the equation, replace the G in this equation with the replacement you found before, 4B.
G + B = 60 -->
4B + B = 60 -->
5B = 60 -->
B = 12

However, you are trying to find the number of girls, so plug the answer back into your equation.
G + B = 60 -->
G + 12 = 60 -->
G + 12 -12 = 60 - 12 -->
G = 48

The number of girls you have is 48.

6 0
3 years ago
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