Answer:
A:{(-9/7,-17/7)}
Step-by-step explanation:
3x - 2y - 1 = 0 ⇒ 3x - 2y = 1
y = 5x + 4
then:
3x - 2(5x+4) = 1
3x - 2*5x - 2*4 = 1
3x - 10x - 8 = 1
-7x = 1 + 8
7x = 9
x = -9/7
y = 5x + 4
y = 5(-9/7) + 4
y = -45/7 + 4
y = -45/7 + 28/7
y = -17/7
Answer:
A:{(-9/7, -17/7)}
Answer:
72
Step-by-step explanation:
Got it right on edg test
Answer with Step-by-step explanation:
Since we have given
n = 16
a) Describe the sampling distribution for the sample mean.
The sampling distribution of the mean is the population's mean from where the items are sampled.
It would be
b. What is the standard error?
c. For 90% confidence, what is the margin of error?
Degrees of freedom = v - 1= 16-1 = 15
Using t-table, 1.753 cuts 5% level of significance in each tail.
so, Margin of error would be
d. Based on the sample results, create the 90% confidence interval and interpret.
So, 90% confidence interval would be
(103.86,116.136)
Answer:
E) 2x sin(x⁶)
Step-by-step explanation:
Use second fundamental theorem of calculus.
d/dx (∫₀ˣ² sin(t³) dt)
sin((x²)³) (2x)
2x sin(x⁶)
The Pyth. Thm. tells us the following: (hypo)^2 = (leg 1)^2 + (leg 2)^2.
Here the hypo is 75 miles. One train traveled x miles and the other x+10 miles.
applying the Pyth. Thm.,
x^2 + (x+10)^2 = 75^2
which becomes x^2 + x^2 + 20x + 400 = 5625, or
2x^2 + 20x - 5225 = 0.
Choose a method easy for you that will lead to a solution (x-value).
Using "completing the square," I obtained x= 47.8 miles and x = 57.8 miles. I
It's very important to check one's work. Suppose x = 47.8 miles. Then x+10 = 57.8 miles.
47.8^2 + 57.8^2 = 75^ must be true. Is it?
2284.84 + 3340.84 5625
5625.6 is approx equal to 5625. Close enough.
The first train traveled 47.8 miles and the second 57.8 miles.