1. In triangle ABC, if AB = 3cm, BC = 4cm and AC = 5cm Find
1 answer:
Answer:
Step-by-step explanation:
A) The diagram of the triangle is shown in the attached photo
The lengths of the given triangle form a Pythagoras triple. This means that the square of the longest side equals the sum of the squares of the two shorter sides.
Area = 1/2 × base × height
Height = 3 cm
Base = 4 cm
Area = 1/2 × 3 × 4 = 6 cm²
B) The altitudes can be AB or BC. Therefore, the length of the shortest altitude is AB = 3 cm
The diagonal is the same as the hypotenuse which is also the longest side of the triangle. Thus,
Length of diagonal = 5 cm
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Answer:
a) Figure attached
b)
c) The correlation coefficient would be r =0.47719
d)
Step-by-step explanation:
(a) Draw a scatter diagram for the data.
See the figure attached
(b) Find x, y, b, and the equation of the least-squares line. (Round your answers to three decimal places.) x =__ y =__ b =__ y =__ + __x
Where:
With these we can find the sums:
And the slope would be:
Nowe we can find the means for x and y like this:
And we can find the intercept using this:
So the line would be given by:
(c) Find the sample correlation coefficient r and the coefficient of determination r?2. (Round your answers to three decimal places.)
n=14
And in order to calculate the correlation coefficient we can use this formula:
So then the correlation coefficient would be r =0.47719
What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
The % of variation is given by the determination coefficient given by and on this case
, so then the % of variation explaines is 22.8%.
(d) If a female baby weighs 21 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.) ___ lb
So we can replace in the linear model like this:
HOPE THIS HELPS!!!!!!!!!!!!!! :)
