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iren2701 [21]
3 years ago
12

Seventy cards are numbered 1 through 70 , one number per card. One card is randomly selected from the deck. What is the probabil

ity that the number drawn is a multiple of 3 AND a multiple of 5 ?
Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0

Answer:

Probability = \frac{2}{35}

Step-by-step explanation:

Given

Total = 70

First, we need to list the multiples of 5

M_5 = \{5,10,15,20,25,30,35,40,45,50,55,60,65,70\}

Then, multiples of 3M_3 = \{3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69\}

Next, is to list out the common elements in both

M_3\ n\ M_5 = \{15,30,45,60\}

n(M_3\ n\ M_5) = 4

The required probability is then calculated as thus:

Probability = \frac{n(M_3\ n\ M_5)}{Total}

Probability = \frac{4}{70}

Probability = \frac{2}{35}

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Carlos bought a $235 water heater with his credit card. He used the water heater for five years before replacing it. He paid off
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First we will find the interest on:


P = $235 principal


t = 2 years


r = 0.1415 annual rate


A = future value 


I = A - P the interest


A = P(1 + r)^t


A = 235(1 + 0.1415)^2


A = $306.21


I = A - P


I = $306.21 - $235


I = $71.21


the interest was $71.21.



Next lets find the lifetime cost value:


Lifetime cost value = 306.21 + 5*1.56*52 + 5*0.78*52 = $914.61 (considering that 1 year = 52 weeks)



Now lets find the percentage what percentage the interest is of the lifetime cost:


(71.21/914.61)*100 = 7.79%

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3 years ago
This isn't really a school-related question.It's more of a conflict I have with my self. So: I have a friend that constantly cop
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A small square of side 2x is cut from the corner of a rectangle with a width of 10 centimeters and length of 20 centimeters. Wri
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Find the area of the rectangle. You can find the area of a rectangle with the following formula:

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Plug in your width and length:

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The area of a square is also given by width * length. Multiply the sides together:

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3 years ago
Bonnie withdrew $1,200 from her savings account. She spent 1/5 of the money on travel arrangements. She spent 2/3 of the remaini
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Withdrew 1200
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leaving her with : 1200 - 240 = 960
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