Is there a picture to this
Answer:
14 miles.
Step-by-step explanation:
Let the distance traveled from home to destination = x miles.
Speed while going to friend's house = 35 miles per hour.
Speed while coming back = 40 miles per hour.
Total Time taken for the journey = 45 minutes = 0.75 hours.
Let the time taken while going to friend's house = y hours.
Therefore, the time taken while going to friend's house = (0.75 - y) hours.
To find x and y, model the speeds of both the journeys.
Speed while going to friend's house = Distance/Time.
35 = x/y.
x = 35y (Equation 1).
Speed while coming back = Distance/Time.
40 = x/(0.75 - y).
x = 40(0.75 - y) (Equation 2).
Since x = x, therefore:
35y = 30 - 40y.
75y = 30.
y = 30/75.
y = 0.4 hours.
Put y = 0.4 hours in Equation 1:
x = 35y.
x = 35(0.4).
x = 14.
Therefore, the distance between my friend's house and my house is 14 miles!!!
To find the value of x, use Pythagorean theorem which is a to the power of two plus b to the power of two equals the hypotenuse which Is c to the power of two, which you'd value as x. Square root the entire thing and you'll be left with c.
Answer:
Cannot create sample
Step-by-step explanation:
We are given the following in the question:
4, -2, -6, 19, 6
Formula:
where 
are data points, 
is the mean and n is the number of observations.
Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 = 364.8
If we add an observation equal to the mean of given sample, then the mean and of new sample will not change.
New sample:
4, -2, -6, 19, 6, 4.2
Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 + 0 = 364.8
Thus, the variance of new sample changes.
Thus, it is not possible to create a sample.
0.5 is half of a gallon.
So, we do 17 / 2 = 8.5
8.5 * 7 (number of days in a week) = 59.5
Katrina drinks 59.5 cups of water in a week.
