Answer:
positive angle
Step-by-step explanation:
Step-by-step explanation:
first step is to find the gradient of the line which "m" on the equation
gradient formula is y2 - y1 ÷ x2 - x1 = -½ as shown on the picture we substituted those points given
2nd step is to substitute on the equation y=mx+c
m= -½
y= 3 (you can choose any from those given points but in my case I chose point A)
x= -2
c= ? only unknown variable so we can can calculate it
substitute as shown on the picture to get c= 2
therefore our equation of the line will be y= -½x+2
The first standard deviation covers about 68% of the distribution in a normal curve. (34% higher, 34% lower than the mean). the second standard deviation covers 28% (14% between 1st and 2nd SD above the mean, 14% between 1st and 2nd SD below the mean). In our case
1 Standard deviation = 27 hours (we will approximate to 25 hours)
Mean = 2,000
This means that 34% of the distribution is between 1975 and 2000 hours (within 1 standard deviation below the mean)
2,000- 2,050 covers the range within 50 hours above the mean.
50 hours is roughly 2 standard deviations. The second standard deviation (standard deviation between 1 and 2) covers around 14% on each side of the distribution.
50 hours is roughly 2 standard deviations, which means we add 34% + 14% = 48%.
The range of 1,975 - 2,050 hours covers 34% of the distribution below the mean and 48% of the distribution above the mean.
This means that the probability that the light bulb will last somewhere within this range is 34% + 48% = 82%
The closest answer is 79%. The difference can be explained by the fact that, for simplicity, we approximated the standard deviation to be ~25 hours instead of the real standard deviation of 27 hours.
The percentage decrease is 35%.
Step-by-step explanation:
Given,
Revenue generated in first year = Old value = $1,500,000
Revenue generated in second year = New value = $975,000
Change = New value - Old value
Change = 975000 - 1500000= -$525000
The negative sign indicates the decrease.
Percent decrease = 
Percent decrease = 
The percentage decrease is 35%.
Keywords: percentage, subtraction
Learn more about percentages at:
#LearnwithBrainly
Answer:
length is 14.4ft and the width is 12.4ft
Step-by-step explanation:
Volume of the aquarium = length * width * height
Given
Volume = 300ft^3
Height = 3feet
l = w+4
Substitute
300 = 3w(w+4)
100 = w(w+4)
100 = w^2+4w
w^2+4w-100 = 0
w = 4±√16+400/2
w =4±√416/2
w = 4±20.4/2
w = 24.4/2
w = 12.2feet
Since l = w+4
l = 12.2+4
l = 16.4ft
hence the length is 14.4ft and the width is 12.4ft
