Answer:
(351.04, 368.96)
Step-by-step explanation:
Given that population mean= 360
Std devitaion = 4
margin of error = 2.5%= 0.025
Since population std deviation is known we can use Z critical value
For two tailed critical value for 2.5% would be
2.24
Margin of error = ±Critical value*std deviation
= ±2.24(4)
= ±8.96
Confidence interval =(Mean - margin of error, mean + margin of error)
=
<span>X+(X+2)=32
2X+2=32
2X=32-2
2X=30
X=30/2
X=15 ANSWER FOR THE FIRST ODD NUMBER.
15+2=17 FOR THE OTHER ODD NUMBER.
15*17=255 ANSWER FOR THE PRODUCT OF THESE 2 ODD NUMBERS.</span>
If x is the distance the base of the ladder is from the wall, and y is the distance to top of the ladder is up the wall, then the Pythagorean theorem tells you
... x² + y² = 10²
Differentiating with respect to time, we have
... 2x·dx/dt + 2y·dy/dt = 0
... dy/dt = (-x/y)·dx/dt
We are given x = 6 ft and dx/dt = 3 ft/s. Using the first equation, we can find y as
... y = √(10² -6²) = 8
Then
... dy/dt =(-6/8)·(3 ft/s)
... dy/dt = -2.25 ft/s
The top of the ladder is sliding down the wall at -2.25 ft/s.
Use F.O.I.L.
First
Outside
Inside
Last
First is 4s * s
4s * s = 4s^2
Outside is 4s *3
4s * 3 = 12s
Inside is 2 * s
2 * s = 2s
Last is 2*3
2 *3 is 6
Now arrange them in that order
4s^2 + 12s + 2s +6
as you can see, we can simplify this equation even more, as there are to things multiplied by s
We add 12s and 2s to make 14s
Your answer is 4s^2 + 14s + 6
Hope I helped!
~ Zoe
Answer:
yes
Step-by-step explanation:
