The formula of combination is
We have
and
Hence, there are 1001 ways of arranging 10 records from 14 records
1. <span>Set up the long division.
</span>
<span>245/7</span>
2. <span>Calculate 700 ÷ 245, which is 2 with a remainder of 210.
</span>
<span><span>0.02</span><span>245/7.</span><span>4.90</span><span>2.10</span></span>
3. <span>Bring down 0, so that 2100 is large enough to be divided by 245.
</span>
<span><span>0.02</span><span>245|/.</span><span>4.90</span><span>2.100</span></span>
4. <span>Calculate 2100 ÷ 245, which is 8 with a remainder of 140.
</span>
<span><span>0.028</span><span>245|/.</span><span>4.90</span><span>2.100</span><span>1.960</span><span>140</span></span>
5. <span>Bring down 0, so that 1400 is large enough to be divided by 245.
</span>
<span><span>0.028</span><span>245/7.</span><span>4.90</span><span>2.100</span><span>1.960</span><span>1400</span></span>
6. <span>Calculate 1400 ÷ 245, which is 5 with a remainder of 175.
</span>
<span><span>0.0285</span><span>245|7.</span><span>4.90</span><span>2.100</span><span>1.960</span><span>1400</span><span>1225</span><span>175</span></span>
7. <span>Therefore, 7 divided by 245 approximately equals 0.0285
</span><span><span>7÷245≈0.0285</span></span>
8. <span>Simplify
</span><span><span><span>0.0285 <------------- Answer :) </span></span>
</span>
Answer:
yes the graph reflects over the y-axis because if you see in the y axis the line show that it is the pont to the axis
hope it helps
9514 1404 393
Answer:
(c) 52.0
Step-by-step explanation:
The angle whose cosine is 8/13 is found using the inverse cosine function:
y° = arccos(8/13) ≈ 52.0°
y ≈ 52.0
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The calculator button to compute this value is probably labeled cos⁻¹. You may need to access the function using a <em>Shift</em> or <em>2nd</em> key. The calculator must be set to degrees mode to prevent the answer from appearing in radians or grads. If you use a spreadsheet, your formula may look like ...
=DEGREES(ARCCOS(8/13))
Answer:
The value of x that gives the maximum transmission is 1/√e ≅0.607
Step-by-step explanation:
Lets call f the rate function f. Note that f(x) = k * x^2ln(1/x), where k is a positive constant (this is because f is proportional to the other expression). In order to compute the maximum of f in (0,1), we derivate f, using the product rule.
We need to equalize f' to 0
- k*(2x ln(1/x) - x) = 0 -------- We send k dividing to the other side
- 2x ln(1/x) - x = 0 -------- Now we take the x and move it to the other side
- 2x ln(1/x) = x -- Now, we send 2x dividing (note that x>0, so we can divide)
- ln(1/x) = x/2x = 1/2 ------- we send the natural logarithm as exp
- 1/x = e^(1/2)
- x = 1/e^(1/2) = 1/√e ≅ 0.607
Thus, the value of x that gives the maximum transmission is 1/√e.
