Answer:
- Elanor's standardized score is 1.19
- Gerald's standardized score is 0.72
- Elanor has higher score
Step-by-step explanation:
To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.
z score can be calculated using the formula
z=
where
- M is the mean score of the exam
- s is the standard deviation of the exam
Elanor's standardized score is:
z(e) = 
≈ 1.19
Gerald's standardized score is:
z(g)= 
≈ 0.72
Since z(e) > z(g), Elanor has higher score
The complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)
<h3>What is a complex number?</h3>
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number shown in the picture:
-7i(3 + 3i)
= -7i
In trigonometric form:
z = 7 (cos (90) + sin (90) i)
= 3 + 3i
z = 4.2426 (cos (45) + sin (45) i)
=21-21i
After converting into the exponential form:
From part (b) and part (c) both results are the same.
Thus, the complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)
Learn more about the complex number here:
brainly.com/question/10251853
#SPJ1
We cannot solve for a numerical value of p, but rather set the equation equal to p.
w = 4/(p+2)
(Multiply both sides by the denominator)
w(p+2) = 4
(divide both sides by w)
p+2 = 4/w
(Subtract 2 from both sides) (also 2/1)
p = (4-2)/w
p = 2/w
Answer:
Angle
Step-by-step explanation:
Since, the figure is in the final step of construction. So, it will have only two rays which as we can see are emerging from a common point.
So, it represents an angle.
An angle has two rays arising out of a common vertex point.
