Mia walked 7km/h so after 1 hour, she is 7 km north of the house of Julia
Samantha walked 11km/h so after 1 hour, she is 11 km west of the house of Julia.
The points where Mia and Samantha are after 1 hour , and the house of Julia form a right triangle with sides 7 and 11 km. The distance between the girls, is the hypotenuse of his triangle.
by the pythagorean theorem:

Answer: 13 km
Answer:
a. 0.50
Step-by-step explanation:
The standard error of the mean is the standard deviation of the population divided by the square root of the sample size.
In this problem, we have that:
Standard deviation of the population: 6 hours
Sample size: 144
Square root of 144 is 12.
So the standard error of the sample mean is 6/12 = 0.5.
The residual value comes out to be 2.94 cm and height is 157.06 cm
<u>Explanation:</u>
The regression equation is calculated at the first step.
height = 105.08 plus 2.599 multiply foot length
At foot length = 20cm, height = 105.08 plus 2.599 multiply 20
= 157.06 cm
Residual = Actual minus predicted value = 160 minus 157.06
=2.94 cm
B) The residual standard deviation generally gives a sense of the goodness of fit of goodness of regression equation on our data. The magnitude tells us that how much will be predicted values from model will vary from actual values. the linear model is justified.
Answer:
I think the answer is right.isn't The rectangle width 8 and length 11 inches
Answer:
Step-by-step explanation:
We'll just work on solving both so you can see what's involved in solving an absolute value equation. Because an absolute value is a distance, we can have that distance being both to the right on the number line of the number in question or to the left. For example, from 2 on the number line, the numbers that are 5 units away are 7 and -3. Using that logic, we will simplify the equation down so we can set up the 2 basic equations needed to solve for x.
If
then
What you need to remember here is that you cannot distribute into a set of absolute values like you would a set of parenthesis. The -2 needs to be divided away:

Now we can set up the 2 main equations for this which are
.5x + 1.5 = .5 and .5x + 1.5 = -.5
Knowing that an absolute value will never equal a negative number (because absolute values are distances and distances will NEVER be negative), once we remove the absolute value signs we can in fact state that the expression on the left can be equal to a negative number on the right, like in the second equation above.
Solving the first one:
.5x = -1 so
x = -2
Solving the second one:
.5x = -2 so
x = -4