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3 years ago

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In a school there are two sections - section A and section B or class X . There are 32 students in section A and 36 students in

section B . Determine the minimum number of books required for the class library so they can be distributed equally among students of section A and B

1 answer:

jekas [21]3 years ago

7 0

Just add 32 + 33 = 65. 65 would be the minimum amount.

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Dan bought a home theater system for $178.99 on the installment plan. The term of the contact said that he would pay $35 a month

bija089 [108]

Given that Dan bought a home theater system for $178.99 on the installment plan, and the terms of the contract is such that he will pay $35 in 6 months.
The total amount he paid by the end of the term will be:
amount=(monthly payment)*(number of months)
=35*6
=$210

b] Dan's Finance charge will be given by:
(total amount he paid)-(price of home theater)
=210-178.99
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3 years ago

The access code for a garage door consists of three digits. Each digit can be any number from 1 through 5, and each digit can b

Papessa [141]

Answer:

(a) 125

$(b) \dfrac{1}{125}$

$(c) \dfrac{124}{125}$

Step-by-step explanation:

We are given that access code consists of 3 digits.

Each digit can be any digit through 1 to 5 and can be repeated.

Now, this problem is equivalent to the problem that we have to find:

The number of 3 digit numbers that can be formed using the digits 1 to 5 with repetition allowed.

(a) We have 3 places here, unit's, ten's and hundred's places respectively and each of the 3 places have 5 possibilities (any digit allowed with repetition).

So, total number of access codes possible:

$5\times 5 \times 5 = 125$

(b) Suppose, an access code is randomly selected, what is the probability that it will be correct.

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Here, only 1 code is correct, so

Number of favorable cases = 1

Total number of cases = 125

So, required probability:

$P(E) = \dfrac{1}{125}$

(c) Probability of not selecting the correct access code on first time:

$P(\overline E) = 1-P(E)\\\Rightarrow P(\overline E) = 1-\dfrac{1}{125}\\\Rightarrow P(\overline E) = \dfrac{125-1}{125}\\\Rightarrow P(\overline E) = \dfrac{124}{125}$

So, the answers are:

(a) 125

$(b) \dfrac{1}{125}$

$(c) \dfrac{124}{125}$

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So according to the problem, the tax should be calculated using the bill.

So 5.5% equals to 0.055.

Then multiply 0.055 and 74.98.

Thus resulting in 4.1239 and when rounded, the answer should be 4.12, C

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