Answer:
17 + 2i
Step-by-step explanation:
Given
(2 - 3i) + 5i(1 - 3i) ← distribute both parenthesis
= 2 - 3i + 5i - 15i² [ i² = - 1 ]
= 2 + 2i + 15
= 17 + 2i ← in standard form
64 6-2=4 then 4 times 4= 16 times 4 equals 64
Volume of a cylinder = πr²h
where,
r is the radius of the cylinder
h is the height of the cylinder
Area of the rectangle = length X breadth
We can consider that a rectangle if rotated will form a cylinder.
In that case, the breath of the rectangle will become the diameter of the cylinder and the length will become the height of the cylinder.
Answer:
3/4
Step-by-step explanation:
.74(75%) is equal to 75/100
The greatest common factor is 25, so divide 75 by 25 and 100 by 25.
75/25=3 100/25=4
So, 75/100 simplified is 3/4.
Answer:
The 90% confidence interval for the true mean lifespan of this product is between 13.1 and 16.9 years.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 50 - 1 = 49
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.6766
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 15 - 1.9 = 13.1 years
The upper end of the interval is the sample mean added to M. So it is 15 + 1.9 = 16.9 years
The 90% confidence interval for the true mean lifespan of this product is between 13.1 and 16.9 years.