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3 years ago

Please help!!!! largest, and smallest 6 digit number divisible by 2,3,4,5,6,8,9,10

Mathematics

1 answer:

Vadim26 [7]3 years ago

3 0

Answer:

Basically it has to be divisible by 8, 9, and 10 because any number that is divisible by 2, 3, 4, 5, 6 must also be divisible by 8, 9 and 10. We know that the number has to end in 0, the sum of its digits must be divisible by 9 and the last three digits must be divisible by 8. Therefore, the smallest number is 10080 and the largest is 999360.

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What is the mean absolute deviation of the data set? 12, 15, 7, 4, 9, 10, 9, 6

bearhunter [10]

Here is an example:
Find the MAD of 2,4,6,8 Step 1 : Find the mean of the data : (2+4+6+8) / 4 = 20/5 = 4 Step 2 : Find the distance between each data and mean. Distance between 2 and 5 is 3 Distance between 4 and 5 is 1 Distance between 6 and 5 is 1 Distance between 8 and 5 is 3
Step 3 : Add all the distances : 3+1+1+3 = 8
Step 4 : Divide it by the number of data : 8 / 4 = 2 2 is the average absolute deviation.

3 0

2 years ago

Find the conjugate and product of<br><br>2-i5

WITCHER [35]

Answer: $2+i5,\ 29$

Step-by-step explanation:

Given

Complex number is $2-i5$

Its conjugate is obtained by changing the sign of the original number i.e. $2+i5$

The product of the two numbers is

$\Rightarrow (2-i5)(2+i5)=2^2-(5i)^2\quad \quad [(x+y)(x-y)=x^2-y^2]\\\\\Rightarrow (2-i5)(2+i5)=4-25i^2\\\\\Rightarrow (2-i5)(2+i5)=4+25=29$

3 0

2 years ago

the volume of a triangular prism is V=1/2abh, where a is the altitude or height of the triangle, b is the base of the triangle a

Vedmedyk [2.9K]

9514 1404 393

Answer:

h = 2V/(ab)

Step-by-step explanation:

Divide both sides of the equation by the coefficient of h.

V = (abh)/2

h = 2V/(ab)

4 0

2 years ago

A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with σ=0.0

oksian1 [2.3K]

<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

$\overline{x}\pm z^* SE$ (1)

, where $\overline{x}$ = sample mean

z* = critical value.

SE = standard error

and $SE=\dfrac{\sigma}{\sqrt{n}}$ , $\sigma$ = population standard deviation.

n= sample size.

As per given , we have

$\overline{x}=74.021$

$\sigma=0.001$

n= 15

It is known that ring diameter is normally distributed.

$SE=\dfrac{0.001}{\sqrt{15}}=0.000258198889747\approx0.000258199$

By z-table ,

The critical value for 95% confidence = z*= 1.96

A 99% two-sided confidence interval on the true mean piston diameter :

$74.021\pm (2.576) (0.000258199)$ (using (1))

$74.021\pm 0.000665120624$

$74.021\pm 0.000665120624\\\\=(74.021- 0.000665120624,\ 74.021+ 0.000665120624)\\\\=(74.0203348794,\ 74.0216651206)\approx(74.020,\ 74.022)$ [Rounded to three decimal places]