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
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<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.)
<h3>
Answer: 0.98976</h3>
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Explanation:
60% of the people have been vaccinated, so 40% have not.
The probability of getting five people in a row that aren't vaccinated is (0.40)^5 = 0.01024
Subtract this from 1 to get the probability of at least one vaccinated person in the sample of five.
1-0.01024 = 0.98976
This works because the events "at least one vaccinated" and "none vaccinated" are complementary. One or the other must happen, which means the two probabilities add to 1.
Answer:
figure it out
Step-by-step explanation:
yeeeeet
Wow! There so much extra stuff on this drawing, naturally it's hard to see
what's going on.
First, do you remember "vertical angles" ? They're the pair of opposite angles
that form where lines cross, and they're equal.
-- It says that angle-1 is 55 degrees.
Angle-1 and angle-7 are vertical angles, so angle-7 is also 55 degrees.
-- It says that angle-4 is 60 degrees.
Angle-4 and angle-6 are vertical angles, so angle-6 is also 60 degrees.
Now you can forget about all that stuff that's outside of the triangle in the middle,
and just look at the triangle. They want you to find angle-10.
See the angles at the top of the triangle ... angle-7 and angle-6 ?
We know what both of those are. Angle-7 is 55 degrees, and angle-6 is 60 degrees.
Do you remember what the 3 angles inside a triangle always add up to ?
They always add up to 180 degrees.
Add angle-7 and angle-6 together . . . 55 + 60 = 115 degrees.
So angle-10 is just the rest of the 180 degrees inside the triangle.
Angle-10 = 180 - (115) = 65 degrees
