The correct answer is option B
(5 + 3i)(4+ 2i)
= 5(4+2i) + 3i(4+2i)
= 20 +10i + 12i +6i²
= 20 +22i +6(-1)
= 20 + 22i - 6
= 14 + 22i
Instead of using PEMDAS or the Order of Operations, the student went ahead and solved the equation as though it were written 6 * 12 - 8.
The correct way to solve would be to first solve the parentheses. 12 - 8 is equal to 4. 4 times 6 is 24, giving us an answer of 24.
Answer:
The 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].
Step-by-step explanation:
Given information:
Sample size = 10
Sample mean = 12.2 mph
Standard deviation = 2.4
Confidence interval = 95%
At confidence interval 95% then z-score is 1.96.
The 95% confidence interval for the true mean speed of thunderstorms is

Where,
is sample mean, z* is z score at 95% confidence interval, s is standard deviation of sample and n is sample size.



![CI=[12.2-1.488, 12.2+1.488]](https://tex.z-dn.net/?f=CI%3D%5B12.2-1.488%2C%2012.2%2B1.488%5D)
![CI=[10.712, 13.688]](https://tex.z-dn.net/?f=CI%3D%5B10.712%2C%2013.688%5D)
Therefore the 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].
for this case we have to define trigonometric relations of rectangular triangles, that the tangent of an angle is given by the leg opposite the angle on the leg adjacent to the angle. So:

Answer:

Answer:
-1
Step-by-step explanation:
when inputting our values into the formula for slope, we get (-2 - -1)/(7 - 6). Subtracting gives us -1/1 and our final answer is -1.
p.s tysm