Answer:
x=11.2
Step-by-step explanation:
So, to solve for x you have to use pythag Theorem. X is the hypotenuse
If you separate this shape into two parts, splitting the slant portion and the rectangle part. You will have a right triangle, and then you would find all the legs of the triangle.
The shorter leg, which is on the left side. Since the left side including the slanted part is 13 and we had to split the shape the shorter leg would equal 5
13-8=5.
And since the longer leg has the same length as the rectangle, which is 10. You would take both these numbers.
then, Square them and add them. So, 5x5=25
and 10x10=100
100+25=125 afterwards you find the square root.
Answer:
The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.
Step-by-step explanation:
We have the population's standard deviation, so we can find the normal confidence interval.
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 the margin of error 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 sample mean subtracted by M. So it is 15.8 - 1.064 = 14.736 tons
The upper end of the interval is the sample mean added to M. So it is 15.8 + 1.064 = 16.864 tons
The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.
Answer:
x>-1
Step-by-step explanation:
Hope this helps. Plz give brainliest.
Answer:
6/7
Step-by-step explanation:
Product of slope of perpendicular line = -1
Slope = 

Slope of the perpendicular line = -1/m = -1 ÷ 

Total number of muffins = 12 muffins
Total number of people sharing muffin = 8
Muffins each person will receive = Total number of muffins
---------------------------------
People sharing muffins
= 12/8
<span> = </span><span>1 1/2 OR 1.5 muffins
</span>