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stellarik [79]
4 years ago
5

Students in a class were surveyed about the number of children in their families. The results of the survey are shown in the tab

le.
Two surveys are chosen at random from the group of surveys. After the first survey is chosen, it is returned to the stack and can be chosen a second time. What is the probability that the first survey chosen indicates four children in the family and the second survey indicates one child in the family?

Mathematics
2 answers:
ki77a [65]4 years ago
3 0

Answer:

1/5

Step-by-step explanation:

Since the surveys are chosen with replacement (the first one is replaced before the second is chosen), the events are independent.  This means that the probability of both together is the product of each event's probability.

The probability of choosing a survey that indicates 4 children in the family is 8/60, since there are 8 surveys with 4 children out of a total of (9+18+22+8+3) = 60 surveys.

The probability of choosing a survey that indicates 1 child is 9/60, since there are 9 surveys with 1 child out of a total of 60.

Together this gives us

8/60(9/60) = 72/360 = 1/5

bekas [8.4K]4 years ago
3 0

Answer:

A. 1/50

Step-by-step explanation:

I took the test.

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schepotkina [342]
3+3+4+3 im sure this is the answer just double chek



6 0
3 years ago
Theresa has two brothers,Paul and Steve, who are both the same height. Paul says he is 16 inches shorter than 1 1/2 times Theres
shepuryov [24]

Answer:

Theresa's height is 60 inches

Step-by-step explanation:

The given parameters are;

The height of Paul = The height of Steve

Paul's height = 1\dfrac{1}{2} times Theresa's height - 16 inches

Steve's height = 1\dfrac{1}{3} times Theresa's height - 6 inches

Let 'T' represents Theresa's height, we have;

Paul's height = 1\dfrac{1}{2} ×T - 16

Steve's height = 1\dfrac{1}{3} ×T - 6

Paul's height = Steve's height

Therefore;

1\dfrac{1}{2} ×T - 16 = 1\dfrac{1}{3} ×T - 6

1\dfrac{1}{2} ×T - 1\dfrac{1}{3} ×T = 10

#\dfrac{3}{2} ×T - \dfrac{4}{3} ×T = 10

\dfrac{1}{6} ×T = 10

T = 10 × 6 = 60

Theresa's height, T = 60 inches

5 0
3 years ago
a TV has a listed price of 813.95 before tax if the sales tax rate is 6.5% find a total cost of the tv with the sales tax includ
shusha [124]
The tax is 6.5% OF the listed price. "OF" in math means multiply.

First convert the percentage to a decimal 

6.5% = .065

Then multiply .065*813.95 = 52.90675. This is the tax.

Simply add the tax onto the cost

813.95 + 52.90675 = $866.86 (rounded)
5 0
3 years ago
Read 2 more answers
Which system of equations is consistent and dependent?
MAXImum [283]

Answer:

Step-by-step explanation:

4x − y = −11

2x + 3y = 5

lets multiply the second equation by -2 and add it to the first:

4x − y = −11

-4x - 6y = -10

------------------

0  - 7y = -21

y = -21/-7

y = 3

now we substitute this result in the first equation to find x:

4x − y = −11

4x - 3 = -11

4x = -8

x = -8/4

x = 2

so the solution is y = 3 and x =2

4x − 9y = −21

−10y = −30

we solve for y

−10y = −30

y = -30/-10

y = 3

and substitute in the first equation:

4x − 9y = −21

4x − 9(3) = −21

4x - 27 = -21

4x = 6

x = 6/4 = 3/2

so the solution is x = 3/2 and y = 3

4x + 3y = 5

2y = −6

we solve for y:

2y = −6

y = -6/2

y = -3

we do substitute in the first equation:

4x + 3y = 5

4x + 3(-3) = 5

4x - 9 = 5

4x = 14

x = 14/4

x = 7/2

so the solution is x = 7/2 and y = -3

7x − 3y = −11

9x = −6

we solve for x:

9x = −6

x = -6/9

x = -2/3

then we substitute in the first equation the result found:

7x − 3y = −11

7(-2/3) − 3y = −11

-14/3 - 3y = -11

we multiply by 3 to eliminate fractions:

-14 - 9y = -33

9y = 19

y = 19/9

so the solution is x = -2/3 and y = 19/9

12x − 3y = −33

14x = −28

we solve for x:

14x = −28

x = -28/14

x = -2

then we substitute in the first equation:

12x − 3y = −33

12(-2) − 3y = −33

-24 - 3y = -33

3y = 9

y = 3

then the solution is x = -2 and y = 3

3 0
3 years ago
Read 2 more answers
I need help with 25.
noname [10]

Sum of linear pair of angles = 180°

so

<EFG + <GFH = 180°

2n + 21 + 4n + 15 = 180°

6n + 36 = 180°

6n = 144

n = 24

<EFG = 2(24) + 21 = 69°

<GFH = 4n + 15 = 4(24) + 15 = 111°

6 0
3 years ago
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