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tatuchka [14]
3 years ago
6

How many 1/8 pound servings of walnuts, s , are in 3/4 pound of walnuts?

Mathematics
2 answers:
aliya0001 [1]3 years ago
7 0
1/8 s = 3/4
2/16 s = 12/16 (multiply each side by 16)
2s = 12 (divide each side by 2)
s = 6
Ann [662]3 years ago
7 0

Answer:

6 servings.

Step-by-step explanation:

We have to calculate the servings of \frac{1}{8} pounds of walnuts in \frac{3}{4} pounds of walnuts.

Let s be the number of servings of \frac{1}{8} pounds of walnuts.

Then (\frac{1}{8}) × s = \frac{3}{4}

                  s = \frac{(\frac{3}{4} )}{(\frac{1}{8} )}

                     = \frac{3}{4} × \frac{8}{1}

                  s = 6

Therefore, there are 6 servings.

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Assume that hybridization experiments are conducted with peas having the property that for​ offspring, there is a 0.75 probabili
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(a) The mean and the standard deviation for the numbers of peas with green pods in the groups of 36 is 27 and 2.6 respectively.

(b) The significantly low values are those which are less than or equal to 21.8. And on the other hand, the significantly higher values are those which are greater than or equal to 32.2.

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Step-by-step explanation:

We are given that hybridization experiments are conducted with peas having the property that for​ offspring, there is a 0.75 probability that a pea has green pods.

Assume that the offspring peas are randomly selected in groups of 36.

The above situation can be represented as a binomial distribution;

where, n = sample of offspring peas = 36

            p = probability that a pea has green pods = 0.75

(a) The mean of the binomial distribution is given by the product of sample size (n) and the probability (p), that is;

                    Mean, \mu  =  n \times p

                                    =  36 \times 0.75 = 27 peas

So, the mean number of peas with green pods in the groups of 36 is 27.

Similarly, the standard deviation of the binomial distribution is given by the formula;

            Standard deviation, \sigma  =  \sqrt{n \times p \times (1-p)}

                                                  =  \sqrt{36 \times 0.75 \times (1-0.75)}

                                                  =  \sqrt{6.75}  =  2.6 peas

So, the standard deviation for the numbers of peas with green pods in the groups of 36 is 2.6.

             

(b) Now, the range rule of thumb states that the usual range of values lies within the 2 standard deviations of the mean, that means;

          \mu - 2 \sigma  =  27 - (2 \times 2.6)

                       =  27 - 5.2 = 21.8

          \mu + 2 \sigma  =  27 + (2 \times 2.6)

                       =  27 + 5.2 = 32.2

This means that the significantly low values are those which are less than or equal to 21.8.

And on the other hand, the significantly higher values are those which are greater than or equal to 32.2.

(c) The result of 15 peas with green pods is a result that is a significantly​ low value because the value of 15 is less than 21.8 which is represented as a significantly low value.

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