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3 years ago

What is the value of 3-(2/3) cubed 2

Mathematics

1 answer:

Scilla [17]3 years ago

8 0

Answer:

2.77777778

2/3 cubed is 0.222222222 and 3-2/3^2 is 2.77777778

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Carlos kept track of how much cereal he ate for two months and found that he ate 208 ounces of cereal in that time. How many pou

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Answer:

13 pounds

Step-by-step explanation:

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3 years ago

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0, because anything times 0 equals 0.

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3 years ago

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What are two equivalent forms for the polynomial 3x - 2x -2x? How do you get them?

Lynna [10]

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3 years ago

Assume the sample variances to be continuous measurements. Find the probability that a random sample of 25observations, from a n

konstantin123 [22]

Answer:

a) $P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

b) $P(13.848$ Step-by-step explanation:

Previous concepts

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

For this case we assume that the sample variance is given by $S^2$ and we select a random sample of size n from a normal population with a population variance $\sigma^2$ . And we define the following statistic:

$T = \frac{(n-1) S^2}{\sigma^2}$

And the distribution for this statistic is $T \sim \chi^2_{n-1}$

For this case we know that n =25 and $\sigma^2 = 6$ so then our statistic would be given by:

$\chi^2 = \frac{(n-1)S^2}{\sigma^2}=\frac{24 S^2}{6}= 4S^2$

With 25-1 =24 degrees of freedom.

Solution to the problem

Part a

For this case we want this probability:

$P(S^2 > 9.1)$

And we can multiply the inequality by 4 on both sides and we got:

$P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"

Part b

For this case we want this probability:

$P(3.462 < S^2$

If we multiply the inequality by 4 on all the terms we got:

$P(3.462*4 < 4S^2 < 4*10.745)= P(13.848< \chi^2$ And we can find this probability like this: $P(13.848$ And we use the following code to find the answer in excel: "=CHISQ.DIST(42.98,24,TRUE)-CHISQ.DIST(13.848,24,TRUE)"

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3 years ago

Isabelle ordered 3 flower arrangements to send to her sisters. Each arrangement, weighs 6 2/3 pounds. What was the total weight

Liono4ka [1.6K]

Answer: 20 pounds.

Step-by-step explanation:

We know the weight of each flower arrangement (each one weighs 6 2/3 pounds) and the total number of flower arrangaments Isabelle ordered (3 flower arrangements).

To make the calculus easier, we can rewrite the mixed number 6 2/3 as a decimal number:

Divide the numerator 2 by the denominator 3 and add the result to the whole number 6:

$(6+0.666)lb=6.666lb$

If 1 arrangement weighs 6.666 pounds, the total weigth of 3 arrangements can be calculated by multiplying 6.666 pounds by 3:

$weight_{(total)}=(6.666lb)(3)\\weight_{(total)}=20lb$

4 0

3 years ago