Answer:
84
Step-by-step explanation:
The interquartile range is obtained using the relation :
Third quartile (Q3). - First quartile (Q1)
From. The boxplot :
Q3 = 96
Q1 = 12
Interquartile range (IQR) = Q3 - Q1 = 96 - 12 = 84
Answer:
C
Step-by-step explanation:
I used the formula. it took a long but i got it! Brainly pls!
60 = a * (-30)^2
a = 1/15
So y = (1/15)x^2
abc)
The derivative of this function is 2x/15. This is the slope of a tangent at that point.
If Linda lets go at some point along the parabola with coordinates (t, t^2 / 15), then she will travel along a line that was TANGENT to the parabola at that point.
Since that line has slope 2t/15, we can determine equation of line using point-slope formula:
y = m(x-x0) + y0
y = 2t/15 * (x - t) + (1/15)t^2
Plug in the x-coordinate "t" that was given for any point.
d)
We are looking for some x-coordinate "t" of a point on the parabola that holds the tangent line that passes through the dock at point (30, 30).
So, use our equation for a general tangent picked at point (t, t^2 / 15):
y = 2t/15 * (x - t) + (1/15)t^2
And plug in the condition that it must satisfy x=30, y=30.
30 = 2t/15 * (30 - t) + (1/15)t^2
t = 30 ± 2√15 = 8.79 or 51.21
The larger solution does in fact work for a tangent that passes through the dock, but it's not important for us because she would have to travel in reverse to get to the dock from that point.
So the only solution is she needs to let go x = 8.79 m east and y = 5.15 m north of the vertex.
Answer:
F= 3x^2
Step-by-step explanation:
1) Multiplying exponents causes them to add, for instance if you were to multiply x^3 * x^4 the final product would be x^7. If you were to divide exponents then they would subtract.
2) Similarly in this problem you would determine the missing factor by dividing the product from -10x^3
3) Using the steps above, begin dividing.
-30x^5 / -10x^3
4) -30 divided by -10 is 3 and as mentioned in step number one, you subtract exponents whenever they are divided by each other. 5-3=2
5) Due to all of the steps mentioned above, The answer is 3x^2
Answer:
The GDP gap is 9 % when there is 4.5 % unemployment.
Step-by-step explanation:
The statement shows a reverse relationship, where an increase in unemployment is following by decrease in potential GDP and can be translated into the following rate:
The GDP gap at a given increase in unemployment can be estimated by the following expression:
Where:
- GDP gap-unemployment increase rate, dimensionless.
- Increase in unemployment rate, measured in percentage.
- GDP gap, measured in percentage.
If and 
, the GDP gap is:
The GDP gap is 9 % when there is 4.5 % unemployment.
