Answer:
f(2) = 0
Step-by-step explanation:
Function f(t) is defined in three different ways depending on the value of t.
For t = 8, function f(t) is -64/t.
For t = 10, function f(t) is 14 - t.
We are not asked about f(8) or f(10). We are asked about f(2). The third definition of function f(t) is for all values of t that are not 8 or 10. 2 is not 8 or 10, so use the third definition of function f(t) and plug in 2 for t.
f(t) = t^2 - 3t + 2 for t not equal to 8 or 10.
f(2) = 2^2 - 3(2) + 2
f(2) = 4 - 6 + 2
f(2) = 0
Answer:
0.14 lb . . . closest choice is 0.11 lb
Step-by-step explanation:
The inside and outside radii are 1/8 in and 3/8 in, respectively. Then the area of the top of the washer is ...
A = π(R² -r²) = π((3/8)² -(1/8)²) = π(9/64 -1/64) = π/8 . . . square inches
The height of the stack of 5 washers will be 5×(1/4 in) = 5/4 in. So, the volume of material in the stack of washers is ...
V = Bh = (π/8)(5/4) = 5π/32 . . . cubic inches
The weight of material is the product of volume and density, so is ...
W = (5π/32 in³)(0.285 lb/in³) ≈ 0.1399 lb ≈ 0.14 lb
_____
<em>Comment on the question</em>
Since this answer does not correspond to any of the offered choices, we suggest you ask your teacher to work this out for you. We suspect they will have difficulty justifying any of the answer choices shown here. (0.11 lb corresponds to 4 washers, not 5.)
a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as
"Chocolate" has the marginal distribution given by the second column, with a total probability of
. Similarly, "Adults" has the marginal distribution described by the third row, so that
. Then
Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with
.
The probabilities match, so these events are indeed independent.
Parts (b) and (c) are checked similarly.
b. Yes;
c. Yes;
From the Formula:
Distance = Sqr Root [ (x2- x1)^2 + (y2 - y1)^2 ]
Distance = Sqr Root [ (20 --15)^2 + 18 -18)^2 ]
Distance = Sqr Root [ 1,225 + 0]
Distance = 35
♠Answer♠
Now , X = √( 40² + 9² )
√(1600 + 81)
√1681
41
That Is , option (b)
#DavidUniversal
