Answer:
No. of boxes = 10
Oranges per box = 56
Total no. of oranges = 56*10=560
No. of bad oranges = 560/40= 14
(i) Probability of bad orange = 14/560 = 1/40
(ii) no of oranges expected to be bad = 14 ( found above)
Hope it helps.............. :)
Answer:
Given the equation: 
A quadratic equation is in the form:
where a, b ,c are the coefficient and a≠0 then the solution is given by :
......[1]
On comparing with given equation we get;
a =3 , b = 10
then, substitute these in equation [1] to solve for c;

Simplify:

Also, it is given that the difference of two roots of the given equation is
i.e,

Here,
, ......[2]
.....[3]
then;

simplify:

or

Squaring both sides we get;

Subtract 100 from both sides, we get

Simplify:
-12c = -96
Divide both sides by -12 we get;
c = 8
Substitute the value of c in equation [2] and [3]; to solve 

or
or

Simplify:

Now, to solve for
;

or
or

Simplify:

therefore, the solution for the given equation is:
and -2.
Answer:
The outliers are 242 and 875
Step-by-step explanation:
Their numbers are far more away than the other numbers if you had it on a number line. Most of the numbers range from 480-510 (estimation of the range, sorry hehe), so the numbers that seem very far (almost excluded, I guess) would be the ones that are considered the outliers.
242 and 875 are over 100 spaces away from the other numbers, meanwhile 485,485,489,497,498,500,507,509 have shorter spaces in between.
I hope this helped! (Sorry, if it sounds confusing)
Answer:
LCM of (4800, 1350, 2646) = 2116800
Step-by-step explanation:
Factorización prima de los números:
4800 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5
1350 = 2 × 3 × 3 × 3 × 5 × 5
2646 = 2 × 3 × 3 × 3 × 7 × 7
MCM (4800, 1350, 2646)
2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7
2116800
MCM de (4800, 1350, 2646) = 2116800
1/5 = x/1100
5x = 1100
x = 1100 ÷ 5
x = 220
So 220 people named blue as fav.
3/10 = x/1100
3x = 1100
x = 1100 ÷ 3
x = 366.6666.... = 367
So 367 people chose red