Answer:
Step-by-step explanation:
All the variables on the right are being multiplied together then the whole mess is being divided by 2. Let's get rid of the 2 first. The undoing of division is multiplication, so we will begin by multiplying both sides by 2 to get
Next we will move the m. The undoing of multiplication is division. So we divide both sides by m to get
The undoing of a square is to take the square root, so we will do that to both sides giving us, finally
Answer:
see explanation
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 6)² + (y + 1)² = 40 ← is the equation of a circle in standard form
centre = (6, - 1) and r = 
= 2
Answer:
1899
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 3234
Standard deviation = 871
Percentage of newborns who weighed between 1492 grams and 4976 grams:
1492 = 3234 - 2*871
So 1492 is two standard deviations below the mean.
4976 = 3234 + 2*871
So 4976 is two standard deviations above the mean.
By the Empirical Rule, 95% of newborns weighed between 1492 grams and 4976 grams.
Out of 1999:
0.95*1999 = 1899
So the answer is 1899
Answer:
y = -1/2 - 12
Step-by-step explanation:
The inverse function of y= 2x -12 would be y = -1/2x-12
So if its positive ex(5) and it ask for the inverse that would be - 1/5
You put a 1 on top and make it negative
Answer:
$480
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
Original cost including sales tax = $1,200
Discount = 60%
So, we can calculate the cost of TV after discount by using following formula:
Cost of TV after discount = $1,200 - ( $1,200 × 60%)
= $1,200 - $720
= $480
Hence, Cost of TV after discount is $480.
