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4 years ago

Please help me out if possible.

Mathematics

1 answer:

Katena32 [7]4 years ago

5 0

Answer:

Step-by-step explanation:

Plotting the points in a sketch quickly shows that the vertices are not at right angles to each other, thus excluding rectangle and square whose vertices are at right angles.

The best selection is a rhombus

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How to solve q =r/2(s+t) for t

Lera25 [3.4K]

<span>q =r/2(s+t) for t
</span><span>2q =r(s+t)
2q = rs + rt
rt = 2q - rs
t = 2q/r - s
hope it helps</span>

4 0

3 years ago

Use induction to show that 12 + 22 + 32 + ... + n2 = n(n+1)(2n+1)/6, for all n > 1.

dlinn [17]

Answer with Step-by-step explanation:

Let $P(n)=1^2+2^2+3^2+.....+n^2=\frac{n(n+1)(2n+1)}{6}$

Substitute n=2

Then $P(2)=1+2^2=5$

$P(2)=\frac{2(2+1)(4+1)}{6}=5$

Hence, P(n) is true for n=2

Suppose that P(n) is true for n=k >1

$P(k)=1^2+2^2+3^2+...+k^2=\frac{k(k+1)(2k+1)}{6}$

Now, we shall prove that p(n) is true for n=k+1

$P(k+1)=1^2+2^2+3^2+...+k^2+(k+1)^2=\frac{(k+1)(k+2)(2k+3)}{6}$

LHS

$P(k+1)=1^2+2^2+3^2+.....+k^2+(k+1)^2$

Substitute the value of P(k)

$P(k+)=\frac{k(k+1)(2k+1)}{6}+(k+1)^2$

$P(k+1)=(k+1)(\frac{k(2k+1}{6})+k+1)$

$P(k+1)=(k+1)(\frac{2k^2+k+6k+6}{6})$

$P(k+1)=(k+1)(\frac{2k^2+7k+6}{6})$

$P(k+1)=(k+1)(\frac{2k^2+4k+3k+6}{6})$

$P(k+1)=\frac{(k+1)(k+2)(2k+3)}{6}$

LHS=RHS

Hence, P(n) is true for all n >1.

Hence, proved

4 0

3 years ago

The heights of young American women, in inches, are approximately Normally distributed with mean μ and standard deviation σ = 2.

Flauer [41]

Answer:

Step-by-step explanation:

The heights of young American women, in inches, are approximately Normally distributed with mean μ and standard deviation σ = 2.4. If I want to construct a 99% confidence interval with a margin of error of no more than ± 1 inch, what is the smallest sample I can select?

6 0

4 years ago

Compare -5.5 and -26/5

Sveta_85 [38]

-26/5 is the larger number. It is -5.1.

4 0

3 years ago

Evaluate the following expression. (3 x 4)2 ➗ (6 - 4) 3

Sophie [7]

Here's your answer bro/ette 36

Step-by-step explanation:

(3*4)2/(6 - 4)3= 36