Answer:
x=1
Step-by-step explanation:
First you distribute the 3 to 5x and 1 to get 15x+3=18x
Then you subtract 15x from 18x and get 3x
Lastly you divide 3 by 3 to separate the 3 and x and get x=1.
Step-by-step explanation:
400,200,100,50,25,12.5, ...... 0.78125
Here's your illustration:
I don't know if you can see that picture, but it's not showing up on my screen, so I'll describe it to you:
-Draw a right triangle
(It's a right triangle because the wall is vertical so the wall creates a right angle with the ground)
-The hypotenuse [the slanted side opposite the right angle] is your ladder. The length of the ladder is 25, so the length of your hypotenuse is 25.
-The long leg of the triangle [the long side that is not the hypotenuse] is your wall. We don't know the length of the wall, but that's okay for this problem.
-The short leg of the triangle [your shortest side] is the distance between the bottom of the ladder and the bottom of the wall. That's 10.
So you have your triangle. The angle the ladder makes with the wall is the angle between the top of the ladder and the top of the wall.
Your answer depends on the equation you're going to use to find this angle.
That depends on what lengths are given to you, which in this case is the hypotenuse and the short leg.
Your angle is opposite the short leg. This means the angle is not the right angle, and not an angle touching the short side.
The sine ratio is opposite side/hypotenuse
You have both the opposite side of the angle and the hypotenuse, so your formula would be this:
sin(angle)=10/25
So your answer would use the sine ratio, meaning your answer is...
sin-10.4
And there's your answer.
Answer:
Step-by-step explanation:
Given that;
Compressed Soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16
Intermediate Soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26
Compressed soil intermediate soil
Mean 2.907 3.286
SD 0.1414 0.2377
Here we have,

The pooled Standard deviation

So standard error for difference in population mean is

by inputting the values we get 0.0623
Degree of freedom for t is
df = 19 + 20 - 2 = 37,
so t-critical value is 2.715.
So required confidence interval for
will be


So required confidence interval is (0.2103 , 0.5483).
The answer to the equivalence of mn+z is z+nm