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1 month ago

The smallest natural number divisible by 2,3,4,5,6,8 and 9 is____.

Mathematics

1 answer:

Zina [12.3K]1 month ago

7 0

Response:

360

Explanation in steps:

You'll require 2 * 2 * 2 to ensure the smallest number is divisible by 8 along with all the others.

For the smallest number to be divisible by 9 along with the others, 3 * 3 is necessary.

Ultimately, you'll need 1 five

Thus, the smallest number divisible by all these factors is calculated as 2*2*2*3*3*5 = 360

360/2 = 180 is valid
360/3 = 120 is valid
360/5 = 72 is valid
360/6 = 60 is valid
360/8 = 45 is valid
360/9 = 40 is valid.

No smaller number than 360 fulfills this requirement.

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The bus routes in a city run on average every 15 minutes. The route times can vary by three minutes. Which absolute value equati

AnnZ [12381]

Response:

$Max = 18\ mins$

$Min = 12\ mins$

Step-by-step explanation:

Information given:

$Time = 15\ mins$

$Variation = 3\ mins$

Objective:

Calculate the maximum and minimum values

The max value is found as follows:

$Max = Time + Variation$

$Max = 15\ mins + 3\ mins$

$Max = 18\ mins$

The min value is identified as follows:

$Min = Time - Variation$

$Min = 15\ mins - 3\ mins$

$Min = 12\ mins$

3 0

3 months ago

The sum of two consecutive integers is one less than three times the smaller integer. Find the two integers

Inessa [12570]

The two integers are 2 and 3 $n+n+1=3n-1\\\\
2n+1=3n-1\\\\
3n-2n=1+1\\\\
n=2\\
n+1=3$

4 0

2 months ago

Read 2 more answers

Eric is studying people's typing habits. He surveyed 525 people and asked whether they leave one space or two spaces after a per

lawyer [12517]

Response: (0.8115, 0.8645)

Step-by-step outline:

Define p as the proportion of individuals who leave one space after a sentence.

Provided: Sample size: n= 525

Number of respondents indicating they leave one space: 440

Thus, the sample proportion is: $\hat{p}=\dfrac{440}{525}\approx0.838$

The z-score for a 90% confidence interval is: 1.645

The formula for determining the confidence interval:

$\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$0.838\pm (1.645)\sqrt{\dfrac{0.838(1-0.838)}{525}}\\\\=0.838\pm (1.645)\sqrt{0.00025858285}\\\\=0.838\pm (1.645)(0.01608)\\\\= 0.838\pm0.0265\\\\=(0.838-0.0265,\ 0.838+0.0265)\\\\=(0.8115,\ 0.8645)$

Consequently, a 90% confidence interval for the proportion of people who leave one space after a period is: (0.8115, 0.8645)

3 0

2 months ago

Jerome is a co-owner of a small company and received 1\3 of the companies?profits this year. What were the company?s overall pro

Inessa [12570]

Jerome's share of the total profit amounts to one-third. To determine the overall profit of the company, multiply his profit by 3.
If he earned $150,000, the calculation would be:
150,000 × 3 = $450,000

So, the total profit is $450,000.

The dot simply represents multiplication.

4 0

3 months ago

May has 4 /15 meters of lace while Lovie has 2 /7 meter longer than May's lace. how many meters of lace do girls have together

Zina [12379]

Answer:

86/105

Step-by-step explanation:

May possesses 4/15 meters of lace

Lovie has lace that exceeds May's by 2/7 meters

4/15 + 2/7

= 58/105

Consequently, the total amount of lace they have is calculated as

= 4/15 + 58/105

= 86/105

Thus, together they own 86/105 meters of lace

8 0

2 months ago