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inysia [295]
3 years ago
13

5. Is 9 a factor of the following? (i) 394683 (ii) 1872546 (iii) 5172354

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
5 0

Answer:

  (i) no, remainder is 6

  (ii) no, remainder is 6

  (iii) yes

Step-by-step explanation:

A number is divisible by 9 when the sum of its digits is divisible by 9. (The process of computing the sum of digits is called "casting out 9s".) You can basically treat any 9 as though it were 0.

(i) 3+9+4+6+8+3 = 33, 3+3 = 6. The remainder from division by 9 is 6. 9 is not a factor.

__

(ii) 1 + 8 + 7 + 2 + 5 + 4 + 6 = 9 + 9 + 9 + 6 = 33, 3+3 = 6. The remainder from division by 9 is 6. 9 is not a factor.

__

(iii) 5 + 1 + 7 + 2 + 3 + 5 + 4 = 6 + 9 + 3 + 9 = 27 = 3×9. This is divisible by 9, so the number is divisible by 9. 9 is a factor.

inysia [295]3 years ago
3 0

Answer:

The answer is (iii) 5172354

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Divide each term by 3...
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igor_vitrenko [27]

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8 0
3 years ago
2 fractions between 3/5 and 4/5
Tasya [4]
Convert the fractions to decimals:

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3 0
3 years ago
Please help with this fast
Elena-2011 [213]

Answer:

Part 1) The value of x is 50°

Part 2) The measure of angle LOK is 114°

Option C

Step-by-step explanation:

we know that

if two angles are supplementary, then their sum is equal to 180 degrees

so

(x+64)°+66°=180°

solve for x

x+130°=180°

x=180°-130°=50°

Find the measure of angle LOK

∠LOK=(x+64)°

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4 0
3 years ago
The average hourly charge of plumbers in the Denver area is $84.00 with a standard deviation of $4.00. Assume that the hourly ch
Simora [160]

Answer:

The probability is 0.31

Step-by-step explanation:

In this question, we are tasked with calculating the probability that a random plumber called at Denver will charge an amount greater than $86 given the mean and the standard deviation.

Firstly, we calculate the standard score of $86 using the mean and the standard deviation.

Mathematically;

z-score = (x-mean)/SD

where x = 86, mean = 84 and SD = 4

z-score = (86-84)/4 = 2/4 = 0.5

Hence, we want to calculate P(z ≥ 0.5)

Using standard table

P( (z ≥ 0.5) = 1 - P(z ≤ 0.5) = 1 - ( 0.19146 + 0.5) = 0.30854

To the nearest hundredth = 0.31

5 0
3 years ago
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