Answer:
Step-by-step explanation:
A 10-foot ladder leans against the side of a house with its base 2.2 feet from the house. Use the Pythagorean Theorem to approxi
mate how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth. The ladder reaches feet high.
1 answer:
Answer:
Ladder reaches 9.76 high.
Step-by-step explanation:
From the figure attached,
Ac is the ladder which reaches at the point A when leans against the side of a house.
Length of the ladder = 10 feet
Distance of the ladder form the base of a house = 2.2 ft
By Pythagoras theorem,
AC² = AB² + BC²
(10)² = h² + (2.2)²
h² = 100 - 4.84
h = √95.16
h = 9.755 feet
≈ 9.76 feet
Therefore, the ladder reaches the 9.76 high.
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a)
We have a perfect linear relationship between the two variables
b)
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) For this case the slope indicates that for each increase of the number of hours in 1 unit we have an expected increase in the score about 6 units.
And the intercept 5 represent the minimum score expected for any game
Step-by-step explanation:
We have the following data:
Number of hours spent practicing (x) 0 0.5 1 1.5 2 2.5 3 3.5 4
Score in the game (y) 5 8 11 14 17 20 23 26 29
Part a
The correlation coefficient is given:
For our case we have this:
n=9
We have a perfect linear relationship between the two variables
Part b
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:
Part c
For this case the slope indicates that for each increase of the number of hours in 1 unit we have an expected increase in the score about 6 units.
And the intercept 5 represent the minimum score expected for any game