Answer: 0.345
Step-by-step explanation:
Given: The the setup for this hypothesis test:

Since , the alternative hypothesis is left tail , so the test is left tail test.

The test static for population proportion is given by :-

The p-value of z = 
-21 this is because you can solve for g, to solve for you you subtract 4 from both sides and -17-4= -21
Using proportions, it is found that the family will drive 482.8 km on the new route.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the family travels a distance of 125% of 240 miles, hence the distance is:
D = 1.25 x 240 = 300 miles.
Since there are are approximately <u>48.28 kilometers in 30 miles</u>, and 300/30 = 10, the distance in kilometers is given by:
D = 48.28 x 10 = 482.8 km.
More can be learned about proportions at brainly.com/question/24372153
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The isometric transformation transform the an image to another exactly with the same shape & same size:
The most known isometric transformation are:
Translation (slide the image)
Reflection (flip the image around an axis
Rotation (turn the image)
Answer:
7 units
Step-by-step explanation:
(-2,6)=(X1,Y1)
(-2, -1)=(X2,Y2)
now ,
distance=√{(x2-x1)^2+(y2-y1)^2}
=√{(-2+2)^2+(-1-6)^2}
=√49
=7 units