Answer:
A=z
B=-2
C=0
D=30
Step-by-step explanation:
First lets simply the equation
21 - (2x +3)2 + 4(1-1) + z^3
21 - (2x^2 + 9) + 4(0) + z ^3
21 - 2x^2 + 9 + z^3
- 2x^2 + z ^3 + 30
This means that:
A=z
B=-2
C=0
D=30
Answer:
The imaginary part is: z = 19
Step-by-step explanation:
For real numbers a and b, a number written in form a+bi is called a acomplex number. The value a is called the real part and b is called the imaginary part of complex number.
The volume of the second prism is 576 cubic centimeters. Since both prisms have the same height, I solved for the height using the data given with the first prism (I got 6 centimeters for the height). And then I calculated for the volume of the second prism.
Answer:
Option (c) is correct.
68% of the data points lie between 10 and 18.
Step-by-step explanation:
Given : a normal distribution with a standard deviation of 4 and a mean of 14
We have to choose the sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.
Since, given 68% data.
We know mean of data lies in middle.
And standard deviation is distribute equally about the mean that is 50% of values less than the mean and 50% greater than the mean.
So, 68% of data lies
mean - standard deviation = 14 - 4 = 10
mean + standard deviation = 14 + 4 = 18
So, 68% of the data points lie between 10 and 18.