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Zarrin [17]
3 years ago
12

Use mental math to estimate the unknown number 4210 divided by 6

Mathematics
2 answers:
professor190 [17]3 years ago
8 0
6 times 7 42 plus 4210
RideAnS [48]3 years ago
6 0
6 divides into 42 producing a quotient of 7 and no remainder.  All that's left is to divide 6 into 10.  That produces 1 with a remainder of 4.

So you could say immediately that 4210 divided by 6 is approx. 71.
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Calculate the value of 1/3 a = -5
sladkih [1.3K]

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Snezhnost [94]
Let X denote the random variable for the weight of a swan. Then each swan in the sample of 36 selected by the farmer can be assigned a weight denoted by X_1,\ldots,X_{36}, each independently and identically distributed with distribution X_i\sim\mathcal N(26,7.2).

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Note that the left side is 36 times the average of the weights of the swans in the sample, i.e. the probability above is equivalent to

\mathbb P\left(36\displaystyle\sum_{i=1}^{36}\frac{X_i}{36}>1000\right)=\mathbb P\left(\overline X>\dfrac{1000}{36}\right)

Recall that if X\sim\mathcal N(\mu,\sigma), then the sampling distribution \overline X=\displaystyle\sum_{i=1}^n\frac{X_i}n\sim\mathcal N\left(\mu,\dfrac\sigma{\sqrt n}\right) with n being the size of the sample.

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Z=6\dfrac{\overline X-26}{7.2}

and the probability is equivalent to

\mathbb P\left(\overline X>\dfrac{1000}{36}\right)=\mathbb P\left(6\dfrac{\overline X-26}{7.2}>6\dfrac{\frac{1000}{36}-26}{7.2}\right)
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3 years ago
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oksano4ka [1.4K]

Answer:

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Step-by-step explanation:

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3 years ago
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