Answer:
4.8 hours
Step-by-step explanation:
Distance = speed × time
If Tim drove 4 hours at 60 miles per hour
Than he drove a total of 4×60 miles
He drove 240 miles
Time = distance ÷ speed
If he drove 240 miles at 50 miles per hour
Than he took 240÷50 hours
He took 4.8 hours (4 hours and 48 minutes)
The last option is the correct answer
A simple way to look at how to check for equivalent fractions<span> is to do what is called “cross-multiply”, which means multiple the numerator of one </span>fraction<span> by the denominator of the other </span>fraction. Then do the same thing in reverse. Now compare the two answers to see if they areequal<span>.</span>
Answer:
We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.
Step-by-step explanation:
We have a sample of executives, of size n=160, and the proportion that prefer trucks is 26%.
We have to calculate a 95% confidence interval for the proportion.
The sample proportion is p=0.26.
The standard error of the proportion is:
The critical z-value for a 95% confidence interval is z=1.96.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 95% confidence interval for the population proportion is (0.192, 0.328).
We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.
For this case we have that, by definition, the medians of a triangle are the line segments that are drawn from a vertex to the midpoint of the opposite side of the vertex. The medians of a triangle are concurrent at a point.
If we look at the figure, we can discard triangles 3 and 4.
Also, by definition, the median divides the vertex angle into two equal angles.
Thus, the correct option is triangle 1.
Answer:
Triangle 1
