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1 day ago

8439 divided by 245 with remainder

2 answers:

7 0

How often does 245 fit into 8? none.
into 84? none.
into 843? 3

Thus, the initial digit of the quotient is 3. Multiply 245 by 3 to obtain 735. Subtract this number from 843, resulting in 108. How many times does 245 go into 108?
none. Bring down a zero, creating 1080. How many times does 245 fit into 1080? 4, leaving a remainder of 100. And so forth.

Please attempt to work through this problem independently, manually.

________________
245 / 8439.00
-735
----------------

Can you complete this? Keep in mind that 843-735 equals 108. Now drop down a zero to make 1080. show your work.

zzz [9K]1 day ago

4 0

Answer:

The remainder when dividing 8439 by 245 is 109.

Step-by-step explanation:

Here, we need to divide 8439 by 245.

That means, Dividend = 8439

Divisor = 245

Solution:

Applying the division algorithm,

Dividend = ( Divisor * Quotient )+Remainder

8439 = (245*34)+Remainder

8439 = 8330 + Remainder

By taking 8330 to the opposite side to discover the remainder, we have

8439 - 8330 = Remainder

109 = Remainder

So, The remainder for 8439÷245 is 109.

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According to a survey by Bankrate, of adults in the United States save nothing for retirement (CNBC website). Suppose that adult

tester [8808]

Complete Question

The complete question appears in the first uploaded image

Answer:

a) Yes, selecting 15 corresponds to a binomial experiment

d) $P(r = 15) = 3.2768 *10^{-11}$

Step-by-step explanation:

Regarding question a:

For an experiment to qualify as binomial

the trials have to be independent

each trial must yield one of two possible outcomes

Given that the selection of 15 individuals is random, we ascertain that the trials are independent and the outcomes are “either the individual saves for retirement or does not save for retirement.”

Therefore, we conclude that the selection of 15 people at random is indeed a binomial experiment.

In question b:

The probability that all selected adults do not save for retirement is mathematically modeled as

$P(r = n) = ^nC_r * p^r * q^{n-r}$

Here C signifies combination

r = 15 implies all selected adults

n refers to the population size equating to 15

From the problem, p = 0.20

and q can be calculated as

=> $q = 1 - p$

Thus

$P(r = 15) = ^{15}C_{15} * p^{15} * q^{15-15}$

$P(r = 15) = 3.2768 *10^{-11}$ Regarding question c:

The probability that exactly five of the selected adults do not save for retirement is mathematically modeled as

$P(r = 5) = ^{15} C_5 * (0.20)^5 * (0.80)^{15}$

$P(r = 5) = 0.1032$

In relation to question d:

The probability that at least one of the selected adults opts not to save for retirement can be mathematically expressed as

$P(r \ge 1 ) = 1 - P (r = 0 )$

$P(r \ge 1 ) = 1 - [ ^{15} C _ 0 * (0.20)^{0} * (0.80 )^{15}]$

$P(r \ge 1 ) = 1 - 0.0352$

$P(r \ge 1 ) = 0.9648$

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14 days ago

The marked price of an article is Rs.2080. After allowing d% discount and levying

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Answer:

13%

Detailed breakdown:

Information provided:

MP = 2080
Discount = d%
VAT = (d-2)%
Cost = 1997.84

Applying the discount:

2080 - d% = 2080*(1 - 0.01d)

Including VAT:

2080*(1 - 0.01d) + (d - 2)%
2080*(1 - 0.01d) * (1 + (d -2)/100)
2080*(1 - 0.01d) * (0.98 + 0.01d) = 1997.84
(1 - 0.01d)(0.98 + 0.01d) = 1997.84/2080
0.98 + 0.01d - 0.0098d - 0.0001d² = 0.9605
- 0.0001d² + 0.0002d + 0.98- 0.9605 = 0
0.0001d²- 0.0002d - 0.0195 = 0
d² - 2d + 195 = 0

Solving this quadratic equation yields:

d = 15

Therefore

VAT rate = 15 - 2 = 13%

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11 days ago

Answer true or false. If false, explain briefly. a) Some of the residuals from a least squares linear model will be positive a

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It's false due to the squares being reduced to their minimum values.

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A salesperson has to drive 500 miles. For the first three hours she drove at 65 mi/h. For the next two hours she drove at 55 mil

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Short answer: 195
First, you multiply 65 by 3, yielding 195 miles.
Then, multiplying 55 by 2 gives you 110 miles.

By summing both distances, you arrive at 305.
From 500, if you subtract 305, you find =195.

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