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timama [110]
3 years ago
15

A consumer organization estimates that 32% of the households in a particular community have one television set, 38% have two set

s, and 16% have three or more sets. If two households are chosen at random, what is the probability that at least one has one or more television sets
Mathematics
1 answer:
Ulleksa [173]3 years ago
5 0

Answer:

If two households are chosen at random, the probability that at least one has one or more television sets is equal to 0.9804 or (98.04%)

Step-by-step explanation:

  • 32% of the households have one television set,
  • 38% have two sets
  • 16% have three or more sets

Then 100% - ( 32%+ 38% + 16% ) = 14% of households does not have any television set

the probability that both of the two randomly chosen households does not have any television set is 0.14×0.14 =0.0196

If two households are chosen at random, the probability that at least one has one or more television sets is equal to

1 - (the probability that both of the two randomly chosen households does not have any television set) = 1- 0.0196 = 0.9804 (98.04%)

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Two kg of tea and 3 kg of sugar cost rupees 39 in january 1997, However in march 1997 the price of the tea increased by 25% and
Irina18 [472]

Answer: tea = 15 rupees  per kg

sugar= 3 rupees per kg

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations with the information given:

<em>"Two kg of tea and 3 kg of sugar cost rupees 39 in january 1997": </em>

2 t + 3 s =39 (a)

Where:

  • t= price of 1 kg of tea
  • s = price of 1 kg of sugar

<em>"in march 1997 the price of the tea increased by 25% (1.25)and the price of the sugar increased by 20%(1.20) and the same quantity of tea and sugar cost rupees 48.30. "</em>

2(t1.25)+3(s1.2) = 48.30 (b)

  • <em>Solving for t in (b) </em>

2t =39-3s

t = (39 -3s)/2

t = 19.5-1.5s

  • <em>Replacing the value of t in (b) </em>

2 x ((19.5-1.5s)1.25)+ 3 ( 1.2s) =48.30

2x ( 24.375 -1.875s) +3.6s =48.30

48.75 -3.75s+3.6s= 48.30

48.75-48.30 = 3.75s-3.6s

0.45= 0.15s

0.45/0.15 =s

3 =s

  • <em>Replacing the value of s in (a) </em>

2 t + 3 (3) =39

2 t + 9 =39

2 t =39 -9

2 t =30

t = 30/2

t= 15

Prices in january:

tea = 15 rupees per kg

sugar= 3 rupees per kg

Feel free to ask for more if needed or if you did not understand something.

4 0
3 years ago
Read 2 more answers
I can't find the answer for 46.3 divided by 1.5 Help!
Olenka [21]
46.3/1.5 = 30.87 or 1.5/46.3 = 0.034
Is that what your looking for??
8 0
2 years ago
1. General Trades A roofer earns $24 per hour plus $36 per hour overtime. If he puts in 40 hours of regular time during a certai
snow_tiger [21]

Answer:

He should work 6\frac{2}{3} hours in overtime.

Step-by-step explanation:

Let x represents the number of hours of regular time and y represents the number of hours of overtime,

Since, earnings are $24 per hour for regular time and $36 per hour for overtime,

Thus, total earning = (24x + 36y) dollars,

Here, x = 40 hours and total earning = $ 1200,

By substituting the values,

1200 = 24(40) + 36y

1200 = 960 + 36y

240 = 36y

⇒ y = 6\frac{2}{3}\text{ hours}

Hence, he should work 6\frac{2}{3} hours in overtime.

5 0
4 years ago
Find the area of a rectangle with the given base and height<br> 5ft,6 in
anygoal [31]

Answer:

360 inch

Step-by-step explanation:

Step 1: Converting

6inch = 6inch

5ft = 60inch

Step 2: Finding the area

Area of a rectangle = L x B

A = 6 x 60

A = 360inch

8 0
3 years ago
Prove that the altitude to the base of an isosceles triangle is also the median to the base
LenKa [72]

The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle.

Hope It Helped! :)

4 0
3 years ago
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