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2 years ago

Binomials: Expand (2a+3)^3 (PLEASE ANSWER QUICKLY)

Mathematics

1 answer:

hodyreva [135]2 years ago

4 0

Answer:

$8 {a}^{3} + {36a}^{2} + 54a + 27 \\$

Explanation:

Binomial theorem,

${(p + q)}^{3} = {p}^{3} + 3 {p}^{2} q + {q}^{3}$

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HELP ASPAP!!!!! WILL MARK BRAINIEST standard deviation

Umnica [9.8K]

Answer:

The standard deviation of the given data is 11.34.

Step-by-step explanation:

We have to find the standard deviation for the given data;

Grade on No. of students

test (X) with that score (f) $X \times f$ $( X - \bar X)^{2}$ $f \times ( X - \bar X)^{2}$

50 1 50 1073.218 1073.2176

57 2 114 663.578 1327.1552

60 4 240 518.018 2072.0704

65 3 195 315.418 946.2528

72 3 216 115.778 347.3328

75 12 900 60.218 722.6112

77 10 770 33.178 331.776

81 6 486 3.098 18.5856

83 6 498 0.058 0.3456

88 9 792 27.458 247.1184

90 12 1080 52.418 629.0112

92 12 1104 85.378 1024.5312

95 2 190 149.818 299.6352

99 4 396 263.738 1054.9504

100 5 500 297.218 1486.088

Total 91 7531 11580.68

Firstly, the mean of the above data is given by;

Mean, $\bar X$ = $\frac{\sum X \times f}{\sum f}$

= $\frac{7531}{91}$ = 82.76

Now, the standard deviation of the data is given by;

Standard deviation, S.D. = $\sqrt{\frac{\sum f(X-\bar X)^{2} }{\sum f-1}}$

= $\sqrt{\frac{11580.68}{91-1}}$

= 11.34

Hence, the standard deviation of the given data is 11.34.

5 0

3 years ago

Write y=2x^2+12x+14 In vertex form

ratelena [41]

Answer:

$\large\boxed{y=2(x+3)^2-6}$

Step-by-step explanation:

The vertex form of a parabola f(x) = ax² + bx + c:

$y=a(x-h)^2+k$

(h, k) - vertex

$h=\dfrac{-b}{2a}\\\\k=f(h)$

We have the equation:

$y=2x^2+12x+14\\\\a=2,\ b=12,\ c=14\\\\h=\dfrac{-12}{2(2)}=\dfrac{-12}{4}=-3\\\\k=f(-3)=2(-3)^2+12(-3)+12=2(9)-36+12=18-36+12=-6$

Finally:

$y=2(x-(-3))^2+(-6)=2(x+3)^2-6$

7 0

3 years ago

Carlos has used 40 cell phone minutes each day for one full week. His cell phone plan allows for a total of 320 minutes per week

Vesnalui [34]

320/40 which you simplify.

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3 years ago

I believe the answer is B can someone confirm

Usimov [2.4K]

Answer:

Looks right, b is right

Step-by-step explanation:

The rest are false

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2 years ago

Read 2 more answers

Volume of a sphere 10 inch radius

Setler79 [48]

Answer:

r≈1.34 and the volume is 10

Step-by-step explanation:

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2 years ago