Answer and Step-by-step explanation:
Number of ways = 59C5 × 35= 59!/(54!*5!)* 35= 175223510
Odds are thus 1 in 175223510
b) 1 million - Number of ways = 59!/(54!*5!) =5006386*35/34 = 5153632
Odds are thus 1 in 5153632
When ever you have percentages, it should be helpful to bear in mind you can express them as multipliers. In this case, it will be helpful.
So, if we let:
a = test score
b = target score
then, using the information given:
a = 1.1b + 1
a = 1.15b - 3
and we get simultaneous equations.
'1.1' and '1.15' are the multipliers that I got using the percentages. Multiplying a value by 1.1 is the equivalent of increasing the value by 10%. If you multiplied it by 0.1 (which is the same as dividing by 10), you would get just 10% of the value.
Back to the simultaneous equations, we can just solve them now:
There are a number of ways to do this but I will use my preferred method:
Rearrange to express in terms of b:
a = 1.1b + 1
then b = (a - 1)/1.1
a = 1.15b - 3
then b = (a + 3)/1.15
Since they are both equal to b, they are of the same value so we can set them equal to each other and solve for a:
(a - 1)/1.1 = (a + 3)/1.15
1.15 * (a - 1) = 1.1 * (a + 3)
1.15a - 1.15 = 1.1a + 3.3
0.05a = 4.45
a = 89
Answer:
73.75
Step-by-step explanation:
Multiply numerator and denominator by 1000:
Divide 57820 by 784 to get 7
Now divide 2940 by 784 to get 3
Now divide 5880 by 784 to get 7
Now divide 3920 by 784 to get 5
The solution of the long division is :
73.75
Answer:
The width is: 
The length is 
Step-by-step explanation:
The given rectangle has area given algebraically by the function:
The width of the rectangle is the greatest common factor of 
, 
and 
That is the width is:
We now divide the area by the width to obtain the length of the rectangle:
This simplifies to:
Answer:
The answer is (-9,4) and (-3,4)
Step-by-step explanation:
