Answer:
estimated error=±0.725
Step-by-step explanation:
Side of the triangle= 12cm
Opposite of triangle x= 30
h= hypotenose side
Error= =±1
From trigonometry
Sin(x)=opposite/hypotenose
hypotenose=opposite/sin(x)
h=12/sin(x)
h=12Csc(x)
dh=-12Csc(x)Cot(x) dx...............eqn(1)
dx is the possible error in angle measurements
So we need to convert to radius
dx=±1°× (π/180)
=±1°(π/180)
Substitute x and dx into equation (1)
dh= - 12Csc30°Cot30°×[±(π/180)]
= -12(2)(√3)(±(π/180)
==±0.725
Therefore, estimated error=±0.725
I’m not sure but the patterns seems to be adding three every week.
Answer:
32 Liters
Step-by-step explanation:
In the glass tank:
W = represents the volume of water Andrei uses (in liters)
n =Number of marbles
Given that: 
The volume of the glass tank is the volume of the water in the tank plus the total volume of n marbles added.
Therefore:

Volume of the tank =32 Liters
Answer:
The approximate length of arc s is 14.1 inches
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
step 1
Find the circumference of the circle
The formula to calculate the circumference is equal to

we have

substitute

step 2
Find the approximate length of arc s
we know that
The circumference of a circle subtends a central angle of 360 degrees
so
using proportion
Find the arc length s for a central angle of 135 degrees

Answer:
The probability that Albert's sample of 64 will have a mean between 13.5 and 16.5 minutes is 0.9973.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:
And let
represent the sample mean, the distribution for the sample mean is given by:
On this case 
Solution to the problem
We are interested on this probability
If we apply the Z score formula to our probability we got this:
And we can find this probability on this way:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
The probability that Albert's sample of 64 will have a mean between 13.5 and 16.5 minutes is 0.9973.