Answer:
s=10
Step-by-step explanation:
Basically, the range rule-of-thumb is that the range is generally about four times the standard deviation.
<u>First, we find the range:</u>
Range=Maximum-Minimum
Range=100-60
Range=40
<u>Next, divide the range by 4 to get the standard deviation</u>
Range=4(Standard Deviation)
40=4(Standard Deviation)
10=Standard Deviation
Therefore, s=10, which is the standard deviation
-2 - 24i, you can easily sum all real and imaginary parts to find this.
Alternatively, you can of course write -(2+24i)
Answer:
y=1/∛4 divides the area in half
Step-by-step explanation:
since the minimum value of x² is 0 (for x=0 ) and for y=1
1 = 25*x² → x= ±√(1/25) = ±1/5
then the total area between y=1 and y = 25*x² is bounded to x=±1/5 and y=0 . Since there is a direct relationship between x and y , we can find the value of x=a that divides the region in 2 of the same area. thus
Area below x=C = Area above x=C
Area below x=C = Total area - Area below x=C
2*Area below x=C = Total area
Area below x=C = Total area /2
∫ 25*x² dx from x=c to x=-c = 1/2 ∫ 25*x² dx from x=1/5 to x=-1/5
25*[c³/3 - (-c)³/3] = 25/2 * [(1/5)³/3 - (-1/5)³/3]
2*c³/3 = (1/5)³/3
c = 1/(5*∛2)
thus
y=25* x² = 25*[1/(5*∛2)]² = 1/∛4
thus the line y=1/∛4 divides the area in half
Answer:
The length of side <em>b</em> is 9.
Step-by-step explanation:
Triangles are similar if they have the same shape, but can be different sizes.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
If you know that two objects are similar, you can use proportions and cross products to find the length of an unknown side. We know that the triangle 
is similar to the triangle 
. Therefore the following relation must be true:
We know that side 
is equal to 8, side 
is equal to <em>b, </em>side 
is equal to 
, and side 
is equal to 3.
Substituting these values into the above relation and solving for <em>b</em> we get that:
Answer:
the answer is 52.
Step-by-step explanation:
because of the locations of the two angles, it can be concluded that 156=3x.
now you have an equation.
solve for x.
hope this helps ;)
