Answer:
George is 12, Mary Lou is 24 and Kate is 10.
Step-by-step explanation:
To find these, start by setting George's age as x. This means that we can model Mary Lou's age as 2x, since she is twice as old. We can also model Kate's age as x - 2 since she is two years younger. Now we can add these 3 together and set equal to 46
x + 2x + x - 2 = 46
4x - 2 = 46
4x = 48
x = 12
This means that George is 12.
Mary Lou = 2x
Mary Lou = 2(12)
Mary Lou = 24
Kate = x - 2
Kate = 12 - 2
Kate = 10
We know that
[surface area for a rectangular prism with a square base ]=2*s²+4*s*h
2*s²----> Is the surface area of the bases
4*s*h---> is the lateral area
s=2 units
h=4 units
[surface area for a rectangular prism with a square base ]=2*2²+4*2*4
surface area=8+32----> 40 units²
the answer is
40 units²
Answer:
The 95% confidence interval for the mean change in blood pressure, 
, is 1.744 < < 2.816
Step-by-step explanation:
The parameters given are;
The number of people in the sample, n = 9
The average drop in blood pressure, = 2.28 points
The standard deviation, σ = 0.82
The confidence level = 95%
The formula for confidence interval with a known mean is given as follows;
Where:
= z - score at 95% confidence level = 1.96
We therefore have;
Which gives the 95% confidence interval for the mean change in pressure, , is given as follows;
1.744 < < 2.816
