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4 years ago

What is the average rate, in m/s, at which these 6 dolphins swam during this observation?

Mathematics

2 answers:

Mademuasel [1]4 years ago

8 0

Total Distance = (40 x 10) + (60 x 20) + (30 x 20) + (90 x 30) + (50 x 30) + (80 x 40) = 9600 m

Total time = 10 + 20 + 20 + 30 + 30 + 40 = 150 sec

Average = 9600 ÷ 150 = 64m/s

Answer: 64m/s

pantera1 [17]4 years ago

4 0

You would just add up all of the values and divide by six to get the average

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Use the binomial expression (p+q)^n to calculate a binomial distribution with n=5 and p=0.3.(Show all steps)

Helen [10]

Answer:

The binomial in expanded form is $(0.3 + q)^{5} = \frac{243}{100000} + \frac{81}{2000}\cdot q + \frac{27}{100}\cdot q^{2} + \frac{9}{10} \cdot q^{3} + \frac{3}{2}\cdot q^{4} + q^{5}$ .

Step-by-step explanation:

The Binomial Theorem states that a binomial of the form $(a + b)^{n}$ can be expanded by using the following identity:

$(a + b)^{n} = \Sigma \limits^{n}_{k = 0}\,\frac{n!}{k!\cdot (n-k)!}\cdot a^{n-k}\cdot b^{k}$ (1)

If we know that $a = p = 0.3$ and $n = 5$ , then the expanded form of the binomial is:

$(p+q)^{n} = \frac{243}{100000} + 5\cdot \left(\frac{81}{10000} \right)\cdot q + 10\cdot \left(\frac{27}{1000})\cdot q^{2} + 10\cdot \left(\frac{9}{100} \right)\cdot q^{3} + 5\cdot \left(\frac{3}{10} \right)\cdot q^{4} + q^{5}$

$(0.3 + q)^{5} = \frac{243}{100000} + \frac{81}{2000}\cdot q + \frac{27}{100}\cdot q^{2} + \frac{9}{10} \cdot q^{3} + \frac{3}{2}\cdot q^{4} + q^{5}$

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3 years ago

Simplify 4g-6h-5g-3g+10h+6g

MArishka [77]

Answer:

2g + 4h

Step-by-step explanation:

$\text{Combine Like Terms.}\\\\\\4g-6h-5g-3g+10h+6g\\\\4g-5g-3g+6g -6h+10h\\\\\boxed{2g+4h}$

Hope this helps!

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3 years ago

What is surface area of cube if the only number is 5

Makovka662 [10]

Answer - 150
One square has an area of 25 (5x5) so 6 squares (25x6) have an area of 150.

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