Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The number of cans is n = 4
The number of can that are empty is N = 3
The number of can filled with water is k = 1
The number number of sets of cans is w = 5
Generally probability of detecting the correct can is mathematically represented as
=> 
=> 
Generally probability of not detecting the correct can is mathematically represented as
Generally the number of cans expected of the farmer to correctly identify by chance is mathematically represented as
=> 
=>
Answer:
a = 6
Step-by-step explanation:
-6(2 + a) = -48
it is basically 2 steps
Divide by -6 first
(2 + a) = -48 / -6
2 + a = 8
minus the 2
a =6
Answer:
An average of about 450 hours; You could say something along the lines of "If the pianist who practices an average of 45 hours per week practices everyday for three months, they would play for approximately 450 hours total."
Step-by-step explanation:
We could write an equation to make it simpler to figure out, making the number of hours after three months = n, 4 = weeks in a month, 3 = the number of months, and 45 = the number of hours after a week. As an equation, it would look like:
45 * 3 * 4 = n
We know 3 *4 is 12, so the equation becomes 45 * 12 = n.
45 * 12 = 540, therefore the pianist practices an average of approximately 540 hours over a three-month period of time.
Hey there, Lets solve this problem together.
The First step is to line up the numbers.
<span>We calculate </span>
<span>the result of which is </span>
<span>
</span>
<span>We calculate </span>
<span> the result of which is </span>
<span>.
</span>
Since we get a negative number in the next column, we must take 1 from the next column and carry it over to this column. Now the number will be changed to 10.
We calculate
, and the result is
.
<span>We calculate </span>
<span> the result of which is</span>
<span>.
</span>
Therefore,
11) -x + y = -1 ; 2x - y = 0
y = -1 + x ; 2x - (-1+x) = 0 ⇒ 2x + 1 - x = 0 ⇒x = -1
y = -1 + (-1) ⇒ y = -2
12) -2x + y = -20 ; 2x + y = 48
y = -20 + 2x ; 2x + (-20 + 2x) = 48 ⇒ 2x -20 + 2x = 48 ⇒ 4x = 48 + 20
4x = 68 ⇒ x = 68/4 ⇒ x = 17
y = -20 + 2(17) ⇒ y = -20 + 34 ⇒ y = 14
13) 3x -y = -2 ; -2x + y = 3
y = 3 + 2x ; 3x - (3 + 2x) = -2 ⇒ 3x - 3 - 2x = -2 ⇒ x = -2 + 3 ⇒ x = 1
y = 3 + 2(1) ⇒ y = 3 + 2 ⇒ y = 5
14) x - y = 4 ; x - 2y = 10
x = 4 + y ; (4 + y) - 2y = 10 ⇒ 4 + y - 2y = 10 ⇒ 4 - y = 10
⇒ -y = 10 - 4 ⇒ -y = 6 ⇒ y = -6
x = 4 + (-6) ⇒ x = 4 - 6 ⇒ x = -2
15) x + 2y = 5 ; 3x + 2y = 17
x = 5 - 2y ; 3(5-2y) + 2y = 17 ⇒ 15 - 6y + 2y = 17 ⇒ -4y = 17 - 15
⇒ -4y = 2 ⇒ y = -2/4 ⇒ y = -1/2
x = 5 - 2(-1/2) ⇒ x = 5 + 2/2 ⇒ x = 5 + 1 ⇒ x = 6
