(8x - 8y + 9) - (5x - 8y - z) = 3x + z + 9
8 - 5 = 3
-8 - (-8) = 0
9 - 0 =9
0 - (-z) = z
so it is written 3x +z +9
Answer:
2.2 seconds.
Step-by-step explanation:
We have been given that an astronaut on the moon drops a tool from the door of the landing ship. The quadratic function
models the height of the tool, in meters, after x seconds.
To find the time, it will take for the tool to hit the surface of moon, we will set
and solve for x as:



Divide both sides by negative 2:


Now, we will take square root of both sides:



Since time cannot be negative therefore, it will take 2.2 seconds for the tool to hit the surface of the moon.
Well you see it’s any other letter that’s not In the alphabet
First step
You must stablish a relation
150 ml sauce/100 ml vinegar
If 100 ml vinegar_______150ml sauce then 11 ml vinegar ____x ml sauce
Second step
You must resolve x from the equation
X= (11ml vinegar*150 ml soya)/(100 ml vinegar)= 16.5 ml sauce, it means that it will be 16,5 ml sauce by every 11 ml of vinegar
Answer:
The 80% confidence interval for the mean consumption of meat among people over age 23 is between 4 and 4.2 pounds.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the mean subtracted by M. So it is 4.1 - 0.07 = 4.03 pounds
The upper end of the interval is the mean added to M. So it is 4.1 + 0.07 = 4.17 pounds
Rounded to one decimal place
The 80% confidence interval for the mean consumption of meat among people over age 23 is between 4 and 4.2 pounds.