Answer:
The standard deviation of the sample mean differences is _5.23_
Step-by-step explanation:
We have a sample of a population A and a sample of a population B.
For the sample of population A, the standard deviation
is

The sample size
is:
.
For the sample of population B, the standard deviation
is

The sample size
is:
.
Then the standard deviation for the difference of means has the following form:

Finally

Answer:
x = -30
cos(x - 30) = ½
Step-by-step explanation:
Look at the picture
Distribute 3
6t+15=5t+25
subtract 5t from 6t
t+15=25
subtract 15 from both sides
t=10
Answer:
210 m²
Step-by-step explanation:
The area of a rhombus is d₁ * d₂ * 0.5. In other words, the area is its diagonals multiplied together and divided by 2.
Substitute the measures of the diagonal given.
35 * 12 * 0.5 = 210
The area is 210 m²
I hope this helps! Feel free to ask any questions!
Why is (D₁ + D₂)/2 incorrect?
This is a really helpful link:
http://mathandmultimedia.com/2015/03/04/why-the-area-of-a-rhombus-half-the-product-of-its-diagonals/
https://byjus.com/maths/area-of-rhombus/