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Aleksandr-060686 [28]
3 years ago
7

Rubidium has two naturally occurring isotopes: Rb-85 with mass 84.9118 amu and a natural abundance of 72.17 %, and Rb-87 with ma

ss 86.9092 amu and a natural abundance of 27.83 %. Calculate the atomic mass of rubidium.
Mathematics
1 answer:
lions [1.4K]3 years ago
8 0

Answer:

The atomic mass of rubidium is 85.468 u

Step-by-step explanation:

To determine the average atomic mass of an element, we take the weight average of the atomic masses of its naturally occurring isotopes. This means that alll isotopes together are calculated by multiplying the atomic mass  and the percentage of abundance . So we have sum of all the different isotopes ( which is 100 % of abundance)

For naturally occurring rubidium, there are 2 isotopes.

mass of Rb-85 x abundance + mass of Rb-87 x abundance

84.9118 x 0.7217 + 86.9092 x 0.2783 = 85,46767642

On the periodic table we can see for Rubidium 85.468 u which is the average atomic mass of Rubium ( and its 2 naturally occurring isotopes).

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Answer:

See explaination

Step-by-step explanation:

See attachment for diagram

The r value is 0.373 (low). This implies a weak correlation between the dependent and independent variables for this sample.

The overall p- value for the regression model is 0.0017. This implies that at least one of the two independent variables (x1 or x2) in the model is significant predictor of the dependent variable y.

p- values for the both "Fact" and "Star" are < 0.05. This means both the independent variables are significant predictors of the "Rating" at 95% confidence level. The variable "Fact" is significant at 99% level of confidence also. This means the rating viewers award to a movie depends upon both the storyline (fact or Fiction) and the presence or absence of stars.

Expected rating for a fact based movie with no stars = 1.7991(1) + 1.2586(0) + 12.5685 = 14.37

Expected rating for a fiction based movie with a star = 1.7991(0) + 1.2586(1) + 12.5685 = 13.83

So, one may expect a fact based movie without any stars to get better ratings than a fiction based movie with one star.

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3 years ago
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Answer: 3/4

Step-by-step explanation: Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the divison sign to multiplication and flip the second fraction.

So here, 3/8 divided by 1/2 can be rewritten as 3/8 × 2/1.

Now we are simply multiplying fractions so we multiply across the numerators and we multiply across the denominators.

So we have 3 × 2 which is 6 and 8 × 1 which is 8. Since 6/8 is not in lowest terms, we divide the numerator and the denominator by the greatest common factor of 6 and 8 which is 2 and we get the equivalent fraction 3/4.

Therefore, 3/8 divided by 1/2 is 3/4.

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Step-by-step explanation:

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