Answer:
19 cm³
Step-by-step explanation:
The figure cam be decomposed into two cuboid.
✔️Dimension of cuboid 1:
L = 2 cm
W = 1 cm
H = 8 - 3 = 5 cm
Volume = L * W * H
Volume = 2*1*5 = 10 cm³
✔️Dimension of cuboid 2:
L = 3 cm
W = 1 cm
H = 3 cm
Volume = L*W*H = 3*1*3
Volume = 9 cm³
✅Volume of the irregular figure = 10 + 9 = 19 cm³
Square root of 121 is 11.
11-7=4
A side of the original square is 4 feet.
83.7 goodlucks! hope it os right
Answer:
Step-by-step explanation:
You have a right triangle here. The way to solve for a missing side in a right triangle is to use Pythagorean's Theorem. You can't use right triangle trig because you don't have an angle. Pythagorean's Theorem is, in this case,
and
and
so
which simplifies down to

Answer:
Step-by-step explanation:
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".
Solution to the problem
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or exce:
answer