Answer:
a) P(79 <= P <= 81) = 0.9968
b) P( X > 81 ) = 0.0002
Step-by-step explanation:
mean value = 75 GPa
standard deviation = 1.7 GPa
<u>a) Determine P(79 <= P <= 81) </u>
given that : n = 25
attached below is the detailed solution
P(79 <= P <= 81) = 0.9968
<u>b) Determine how likely the sample mean diameter will exceed 81 </u>
given that n = 36
mean diameter = 81
P( X > 81 ) = 0.0002
The answer is A.As.... I think
Corresponding sides are in the same ratio, therfore
12/x = 6/ 8
6x = 96
x = 16
Answer:
slope = - 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = -
x +
← is in slope- intercept form
with slope m = - 
Answer:
We know that:
If T = area of the triangle
and R = area of the rectangle:
I T - RI < 4.
Now, we know that:
T = 8*6/2 = 8*3 = 24
R = 4*(x - 4) = 4*x - 16
Then replacing those values, we can write:
I24 - (4*x - 16)I < 4
I40 - 4*xI < 4
Now let's solve it:
First we aim for the first value that is not a solutions, this is when:
I40 - 4*xI = 4
we can write this as:
40 - 4*x = +-4
The first extreme is:
40 - 4*x = +4
x = (40 - 4)/4 = 9
The other extreme is:
40 - 4*x = -4
x = (40 + 4)/4 = 11.
Then the set of solutions is: S = (9, 11)