Answer:
C(n, 2)a^(n-2)b^2
Step-by-step explanation:
Generally, the expansion is written in decreasing powers of "a", so the first few terms would have variable constellations that look like ...
a^n, a^(n-1)b, a^(n-2)b^2, ...
The coefficients would be (in order), C(n, k) for k increasing from 0, so the coefficient of the 3rd term would be C(n, 2).
Answer:
q = 8/5r or q = 1.6r
Step-by-step explanation:
-7q + 12r = 3q - 4r
+7q +7q
12r = 10q - 4r
+4r +4r
16r = 10q
/10 /10
16/10 = 8/5 8/5 = 1.6
<u>q = 8/5r</u> or <u>q = 1.6r</u>
T's solve your equation step-by-step.<span><span><span>14</span><span>(<span><span>4x</span>+15</span>)</span></span>=24</span>Step 1: Simplify both sides of the equation.<span><span><span>14</span><span>(<span><span>4x</span>+15</span>)</span></span>=24</span><span><span><span><span>(<span>14</span>)</span><span>(<span>4x</span>)</span></span>+<span><span>(<span>14</span>)</span><span>(15)</span></span></span>=24</span>(Distribute)<span><span>x+<span>15/4</span></span>=24</span>Step 2: Subtract 15/4 from both sides.<span><span><span>x+<span>15/4</span></span>−<span>15/4</span></span>=<span>24−<span>154</span></span></span><span>x=<span>81/<span>4</span></span></span>
Answer:
-10 and 0.25
Step-by-step explanation:
f(4)=-10 and g(x) is 2 when x=0.25
Answer:
The correct answer is D. 0.77
Step-by-step explanation:
![=Pr[\frac{-1}{4}\leq \bar{X}_{48}\leq \frac{1}{4}]\\\\=Pr[\frac{-0.25}{0.2083}\leq Z\leq \frac{0.25}{0.2083}]\\\\=Pr[-1.2\leq Z\leq 1.2]\\=Pr(Z\leq 1.2)-Pr(Z\leq -1.2)\\=Pr(Z\leq 1.2)-(1-Pr(Z\leq 1.2))\\=2\times 0.8849 -1\text{ ( Z value for 1.2 is 0.8849 )}\\\approx 0.77](https://tex.z-dn.net/?f=%3DPr%5B%5Cfrac%7B-1%7D%7B4%7D%5Cleq%20%5Cbar%7BX%7D_%7B48%7D%5Cleq%20%5Cfrac%7B1%7D%7B4%7D%5D%5C%5C%5C%5C%3DPr%5B%5Cfrac%7B-0.25%7D%7B0.2083%7D%5Cleq%20Z%5Cleq%20%5Cfrac%7B0.25%7D%7B0.2083%7D%5D%5C%5C%5C%5C%3DPr%5B-1.2%5Cleq%20Z%5Cleq%201.2%5D%5C%5C%3DPr%28Z%5Cleq%201.2%29-Pr%28Z%5Cleq%20-1.2%29%5C%5C%3DPr%28Z%5Cleq%201.2%29-%281-Pr%28Z%5Cleq%201.2%29%29%5C%5C%3D2%5Ctimes%200.8849%20-1%5Ctext%7B%20%28%20Z%20value%20for%201.2%20is%200.8849%20%29%7D%5C%5C%5Capprox%200.77)
Hence, the correct answer is 0.77
