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4 years ago

Find the missing side. Round your answer to the nearest tenth.

Mathematics

1 answer:

Likurg_2 [28]4 years ago

4 0

Answer:

44.8

Step-by-step explanation:

cos α = adjacent leg/hypotenuse

cos 48° = 30/x

x = 30/(cos 48°) = 44.8

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3 years ago

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You know that there is a strong correlation between the consumption of ice cream and body weight. The Pearson's r = 0.78. You al

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Answer:

y = 7.8x + 26

Step-by-step explanation:

Given the following :

Pearson's r = 0.78

Average consumption of ice cream = 5 grams per week (m) with Standard deviation (sd) = 1.5 grams

Average weight = 65 kg with standard deviation of 15kg

Formular for the regression line :

General regression formula :

y = mx + c

y = predicted variable ; m = slope or gradient ; x = predictor variable ; c = intercept

Gradient (m) = change in y / change in x

m = (sd y / sd x) * r

m = (sd weight / sd ice cream) × r

m = (15 / 1.5) × r

m = 10 × 0.78 = 7.8

Intercept:

mean of weight(y) - [Slope×mean of icecream(x)]

65 - [7.8 × 5]

65 - 39 = 26

Hence,

y = 7.8x + 26

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