Answer: 155
Step-by-step explanation:
180 - 25 = 155
Correction:
I think the question should be like that find the approximate value of
P(-0.78 < z < 1.16)?
Now,
the symbol Ф represent the cumulative density.
first find the
Ф(1.16) from the above given table which is equal to 0.8770.
Now,
find the Ф(-0.78) .
in our table we are given the value of Ф(0.78)=0.7823
so as the curve is symmetrical Ф(-0.78)=1-0.7823=0.2177
P(-0.78 < z < 1.16) = Ф(1.16)-Ф(-0.78)
= 0.8770-0.2177
= 0.6593
For
ax^2+bx+c
the axis of symmetry is -b/2a
first one
-3/2=3, nope
2nd one
3/2=3? nope
3rd one
-6/2=3? nope
fourth
6/2=3? yes
answer is last one or
f(x)=x^2-6x-1
We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be
m = Δy/Δx = (y₂-y₁)/(x₂-x₁)
The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.
At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)
The slope would then be
m = (9.5-3.5)/(6-2)
m = 1.5
Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.
D (5, -5)
E (2, -7)
F (6, -1)
G (10, -8)
If you need an explanation as to how I did, you just add 4 to the x coordinate and subtract 5 from the y coordinate since going down is negative.