Answer:
6.83 units
Step-by-step explanation:
Let the height of the original pyramid be represented by h. Then the cut off top has a height of (h -2). The scale factor for the area is the square of the scale factor for height, so we have ...
(height ratio)^2 = 1/2
((h -2)/h)^2 = 1/2
(h -2)√2 = h . . . . . . square root; multiply by h√2
h(√2 -1) = 2√2 . . . . add 2√2 -h
h = (2√2)/(√2 -1) ≈ 6.8284 . . . units
The altitude of the original pyramid is about 6.83 units.
Answer:
y=4x+5
Step-by-step explanation:
so like the b in y= mx +b is the starting point well in that graph it is also is where the line touches the y-axis and the slope is rise/run so start at 5 move over 1 then go up 4 that 4/1 = 4 so m=4 so if y= 4x+b and b being 5 then y=4x+5
Answer:
40
Step-by-step explanation:
4 x 10= 40
PlZ add brainliest.
Answer:
It would be 20
Step-by-step explanation:
because 5x+20 = 5x + <u> </u>
it would have to be 20
to have 1 solution
Answer:
19 beers must be sampled.
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 Z-table as such z has a p-value of 
.
That is z with a pvalue of 
, so Z = 1.645.
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 population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.
This means that 
If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?
This is n for which M = 0.1. So
Rounding up:
19 beers must be sampled.
