Answer:
see attached
Step-by-step explanation:
At 1100 ft per second for 18 seconds, the sound travels 19,800 ft, or 3.75 miles farther to my friend's house. The set of points that lie 3.75 miles farther from my friend's house than from my house form a hyperbolic curve. This is illustrated by the blue line in the attached graph. (My house is the red dot on the left; my friend's house is the red dot on the right.)
The lightning occurred somewhere on the blue curve.
___
If the lightning occurred on the line between our houses, it was 1/8 mile from my house and 3 7/8 mile from my friend's house. (That's close!)
_____
The formula for the curve in the graph is the distance formula applied to the set of points (x, y). It equates the difference of distance from the two houses to 3.75 miles. If one were to write the equation of the hyperbola in standard form, the equation would look a little different and a restriction would need to be applied so the formula would describe only one branch of the hyperbola.
Answer:
It's 2
Step-by-step explanation:
The number before x is always the slope and the other number, the eight in this case is the y-intercept
Answer:
And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613
Step-by-step explanation:
The estimated proportion of interest is 
We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by
and
. And the critical value is:
The confidence interval for the true population proportion is interest is given by this formula:
Replacing the values provided we got:
And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613
Answer:
2^2×20
Step-by-step explanation:
2^2×20
because 2×20=40
so, 2^2×20=2^40
<span>=>The triangles have equal base lengths and equal heights...
</span>=>The triangles are congruent....
<span>=>The triangles are similar....
Hope it helps !!!</span>