516.36 because the thousandth digit isn't above 5 so you don't round up
Answer: P(sum is 5 or lower) = 10/36 (not simplified) = 5/18 (simplified)
Step-by-step explanation: The event is {(1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1)}
Using the
solver function of the calculator, we can find the roots of the polynomial.
x1
= 9.72484
x2 = −5.36242+8.74882i
x3 = −5.36242−8.74882i
<span>
Since
dimension cannot be imaginary, therefore the height of the cylindrical hole is
9.72 mm.
Calculating
for radius r:
r
= 9.72 mm – 8 mm
r
= 1.72 mm
The
volume of cylinder is given as:
V
= π r^2 h
V
= π (1.72)^2 (9.72)
<span>V
= 90.34 mm^3</span></span>
Answer:
<u>1. The number is 71.3</u>
<u>2. The number is 127.1</u>
<u>3. The number is 230</u>
<u>4. The number is 34</u>
Step-by-step explanation:
Let's find out the numbers, x, for each case:
1. 5% of it is 5% of it is 23% of 15.5
5% = 0.05
23% of 15.5 = 0.23 * 15.5 = 3.565
Then, we have:
0.05x = 3.565
x = 3.565/0.05
x = 71.3
<u>The number is 71.3</u>
2. 4% of it is 31% of 16.4
4% = 0.04
31% of 16.4 = 0.31 * 16.4 = 5.084
Then, we have:
0.04x = 5.084
x = 5.084/0.04
x = 127.1
<u>The number is 127.1</u>
3. 4.5% of it is 23% of 45
4.5% = 0.045
23% of 45 = 0.23 * 45 = 10.35
Then, we have:
0.045x = 10.35
x = 10.35/0.045
x = 230
<u>The number is 230</u>
4. 5.5% of it is 17% of 11
5.5% = 0.055
17% of 11 = 0.17 * 11 = 1.87
Then, we have:
0.055x = 1.87
x = 1.87/0.055
x = 34
<u>The number is 34</u>
