<u>Answer:</u>
The total time taken to complete 25 miles is 7.6 hours.
Solution:
Ben walks 5 miles in 1 hour,
Second 5 miles in 1.4 hours,
Third 5 miles in 1.7 hours,
Last 5 miles in 1.8 hours
So he walked total 20 miles in (1+1.4+1.7+1.8) hours = 5.9 hours = 6 hours (approximately)
So his average speed is 
miles/hours = 3.33 miles/hours.
i.e. he travels 3.3 miles in 1 hour,
Then, he travels 1 miles in 
hours
Hence the total time he will take to walk 25 miles is 
That is approximately 7.57 or 7.6 hours.
Answer:
(3, 1.7)
Step-by-step explanation:
The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.
Two lines are perpendicular if the product of their slopes is -1.
The slope of the line joining D(0,0), F(3,7) is:
The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:
The slope of the line joining E(7,0), and F(3,7). is:
The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:
The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:
x = 3, y = 1.7
Divide both sides by 5^2 (which is 25). So p = (5^12)/25. I can't be bothered to plug in into a calculator but be my guest.
Given:
n = 20, sample size
xbar = 17.5, sample mean
s = 3.8, sample standard deiation
99% confidence interval
The degrees of freedom is
df = n-1 = 19
We do not know the population standard deviation, so we should determine t* that corresponds to df = 19.
From a one-tailed distribution, 99% CI means using a p-value of 0.005.
Obtain
t* = 2.8609.
The 99% confidence interval is
xbar +/- t*(s/√n)
t*(s/√n) = 2.8609*(3.8/√20) = 2.4309
The 99% confidence interval is
(17.5 - 2.4309, 17.5 + 2.4309) = (15.069, 19.931)
Answer: The 99% confidence interval is (15.07, 19.93)
Answer:
x=5,y=3
Step-by-step explanation:
the first step is to decide whether you want to substitute y and find x, or substitute x and find y.
(it doesn't matter which way you will choose.If you do the math correctly you will get the correct answer,one way or another).
for example, let's substitute y into the first equation:
x=17-4*(x-2)
so now,we will organize the equation:
x+4x=17+8
5x=25/(÷5)
x=5
now we will substitute x with 5 in the second equation(or the first one,it doesn't matter)in order to find y:
y=5-2
y=3
