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Translation from Latvian

Why minus pops up from the brackets and why the outcome is not numbers?

I think that you need to give us an example because I am not sure what you mean. 

Es domāju, ka jums ir nepieciešams, lai dotu mums piemēru, jo es neesmu pārliecināts, ko tu domā.

WHY Natthada?

Why have you only answered to 2 significant figures Captain ?

you need to show working Natthada  !

hi MG

it is 2Kg        you cannot forget the g   

The positive three-digit integer $N$ has a ones digit of $0$. What is the probability that $N$ is divisible by $4$? Express your answer as a common

well if the units digit is 0 then the tens one has to be even     

the hundred digit is of no consequence.

SO  that is  5/10 or 1/2

Hi LooLoo

I hope that you haven't reposted this without letting people know.  If it find that you have I will be very annoyed :/

But assuming that you haven't I will see about getting you an answer

If two distinct members of the set $\{ 3, 7, 21, 27, 35, 42, 51 \}$ are randomly selected and multiplied, what is the probability that the product is a multiple of 63? Express your answer as a common fraction.

the factors of 63 are  1,3,9,7 AND 63

7 times any multiple of 9 would work   that is  27,     (7,27)  that is the only one

21 = 9*3   that would work with any multiple of 3     (21,3)(21,27)(21,42)(21,51)

3 times any mulptile of 21 would work     (3,21)got that  (3,42)

27=3*9  times any mult of 7       (7,35)     (7,42)    (7,51)

35=5*7  times any mult of 9        got those

42=3*2*7  any mult of 3               (42,51)

that is it I think so there are  10 of them    You need to check this

Prob =  $${\frac{{\mathtt{10}}}{{\left({\frac{{\mathtt{7}}{!}}{{\mathtt{2}}{!}{\mathtt{\,\times\,}}({\mathtt{7}}{\mathtt{\,-\,}}{\mathtt{2}}){!}}}\right)}}} = {\frac{{\mathtt{10}}}{{\mathtt{21}}}} = {\mathtt{0.476\: \!190\: \!476\: \!190\: \!476\: \!2}}$$

Prob =   $${\frac{{\mathtt{10}}}{{\mathtt{21}}}}$$

22 shoes

12 black,  6 brown,  4 grey   (Aussie spelling)

P(Bl,Bl)   =     $$\left({\frac{{\mathtt{12}}}{{\mathtt{22}}}}{\mathtt{\,\times\,}}{\frac{{\mathtt{11}}}{{\mathtt{21}}}}\right)$$   

P(Br,Br) =     $$\left({\frac{{\mathtt{6}}}{{\mathtt{22}}}}{\mathtt{\,\times\,}}{\frac{{\mathtt{5}}}{{\mathtt{21}}}}\right)$$

P(G,G) =   $$\left({\frac{{\mathtt{4}}}{{\mathtt{22}}}}{\mathtt{\,\times\,}}{\frac{{\mathtt{3}}}{{\mathtt{21}}}}\right)$$

P(same colour)  =    $$\left({\frac{{\mathtt{12}}}{{\mathtt{22}}}}{\mathtt{\,\times\,}}{\frac{{\mathtt{11}}}{{\mathtt{21}}}}\right){\mathtt{\,\small\textbf+\,}}\left({\frac{{\mathtt{6}}}{{\mathtt{22}}}}{\mathtt{\,\times\,}}{\frac{{\mathtt{5}}}{{\mathtt{21}}}}\right){\mathtt{\,\small\textbf+\,}}\left({\frac{{\mathtt{4}}}{{\mathtt{22}}}}{\mathtt{\,\times\,}}{\frac{{\mathtt{3}}}{{\mathtt{21}}}}\right) = {\frac{{\mathtt{29}}}{{\mathtt{77}}}} = {\mathtt{0.376\: \!623\: \!376\: \!623\: \!376\: \!6}}$$

P(same colour)  =      $${\frac{{\mathtt{29}}}{{\mathtt{77}}}}$$

Well the only possibilities are   2,2,2,  or  1,2,3

BUT  there is only one way to get 2,2,2

there are 3! = 6 ways of getting 1,2,3

that is

1,2,3

1,3,2

2,1,3

2,3,1

3,1,2

3,2,1

SO

the probability that the draw was 2,2,2  is     $${\frac{{\mathtt{1}}}{{\mathtt{7}}}}$$

Mellie,

Use the calculation button and you can do the calculations straight into the post :)

$${\mathtt{57}}{!} = {\mathtt{40\,526\,919\,504\,877\,216\,755\,680\,601\,905\,432\,322\,134\,980\,384\,796\,226\,602\,145\,184\,481\,280\,000\,000\,000\,000}}$$

Welcome to the forum Mellie    

I could be wrong but I think this question wants the graph obtained by mapping the number a*100+b*10+c, say, onto a/10+b/100+c/1000; or the number abc onto 0.abc  where a, b and c are single digits.  If so, then the following two graphs might help.  In the first the x-scale is linear, in the second it is logarithmic.

.

Density is mass divided by volume.  You haven't supplied the units of the volume.  If we assume it is 20cm³ then the density is 10 g/cc

.

The digit position immediately to the right of a decimal point contains tenths, the next position to the right contains hundredths, the next, thousandths, and so on.

If the digit in the hundredths position is less than 5 then keep the tenths position digit as it is and ignore everything to the right.  If the hundredths position digit is greater than or equal to 5 then increase the tenths digit by 1 and, again ignore everything to the right.

For example:   5.23 is 5.2 to the nearest tenth.  5.26 is 5.3 to the nearest tenth.

One complication:  If we have, say, 5.96, then we have to round up the 9 to a 10.  However, we are only allowed one digit in the tenths position so we have to put the zero there and add the one on to the units position, so 5.96 is 6.0 to the nearest tenth.

. 

Coulomb's law says the force is k*q1*q2/r² where the q's are the charges, r is the distance between them and k is a constant (k ≈ 8.9876*10⁹ N.m²C^-2)

$${\mathtt{F}} = {\mathtt{\,-\,}}{\frac{{\left({\mathtt{1.7}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{-{\mathtt{5}}}\right)}^{{\mathtt{2}}}{\mathtt{\,\times\,}}{\mathtt{8.987\: \!6}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{9}}}}{{{\mathtt{0.17}}}^{{\mathtt{2}}}}} \Rightarrow {\mathtt{F}} = -{\mathtt{89.876}}$$

The force is approximately  -89.9 N

.

4fruit------------------ 3 parts suger                                                                                                               1kg fruit---------------?

so i think the solution is 0.75

s = rθ     where s is the arc length, r is the radius and θ  is in radians

Using the point-slope form rearranged, we have

y = 3(x - 5) + 1

y = 3x - 15 + 1

y = 3x - 14

916/8.5 x $3.77 = $406.27

(6 + √2)^2 =

(6 + √2)(6 + √2) =

36 + 12√2 + 2 =

38 + 12√2 

4 min + 50 sec = 290 sec

10 min = 600 sec

So

500m / 290sec = ( x )  m / 600 sec      cross-multiply

500 * 600 = 290 *x

300,000 = 290 * x    divide both sides by 290

about 1034.48 m in 10 min

Vc  = (1/3) pi * r^2 * h    .....so

423.9 =(1/3)pi * r^2 * 5

423.9 = (5pi/3) * r^2      multiply both sides by ( 3 / [5 pi] )

80.959 = r^2      take the square root of each side

r = about 9 inches

The nth term is given by :

3 (-2)^n-1

So....the 12th term is

3(-2)^12-1  =

3(-2)¹¹  =

-6144

90 x .25 = 22.5 ft