Answer:
-6i
Step-by-step explanation:
6×i⁹⁵⁵
Every fourth power of i is +1
i.e i⁴ = +1
i⁹⁵⁵ = i⁹⁵² × i³ (separating multiples of 4 in the power)
i⁹⁵² = +1 because 952 is multiple of 4
i⁹⁵⁵ = +1 × i³
i³ = -i
i⁹⁵⁵ = +1 × -i = -6
So,
6i⁹⁵⁵ = 6 × -i = -6i
Answer:
Cylinder A has a volume of 35.34 and Cylinder B has a volume of 58.9, the cylinder B has the greater volume.
Step-by-step explanation:
B= (3.14) 2.5 x 3h = 58.9 Cylinder B = 58.9
A= (3.14) 1.5 x 5h = 35.34 Cylinder A = 35.34
Sin E= 0. 198.
E= 11.42°
Step-by-step explanation:
using Pythagoras theorem.
Hyp²= base² + height ².
101²= 99²+x²
x²= 101²-99²
x²=10201-9801.
x²=400
x=√400
x=20
sin E = opposite
________
adjacent.
sin E= 20
__
101.
sin E=0.198.
E= sin^-1(0.198)
E= 11.42°
Answer:
<u>The proportion of the scores that are on the right side of the line is 0.0668</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
µ of a normal distribution = 40
σ of a normal distribution = 10
X = 55
2. What proportion of the scores are on the right side of the line?
Let's calculate the z-score for X = 55, this way:
z-score = (X - µ)/σ
z-score = (55 - 40)/10
z-score = 1.5
Now, using the z-table, let's calculate the proportion, this way:
p (z = 1.5) = 0.9332
In consequence,
p (z > 1.5) = 1 - 0.9332 = 0.0668
Which variable is dependent on another variable's value?
-The number of squares Rosa cuts the brownies into because it is dependent on the number of people attending the potluck.
Therefore, the independent variable is p, the number of people attending the potluck.
Hope this helps! :)
