Answer:370mm^3
Step-by-step explanation:
You would first find the area of the whole rectangle without the hole, so (15)(30)=450
Next find the area of the hole, (8)(10)=80
To find the area you must subtract the area of the hole from the rectangle.
450-80=370
Answer:
And we can find this probability on this way:
We expect around 68.27% between the two scores provided.
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".
Solution to the problem
Let X the random variable that represent the scores 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 on this way:
We expect around 68.27% between the two scores provided.
The mathematical expression for x is is fewer than 9 is x< 9
(32 + 90 + 92 + 82 + 64 + x) / 6 = 85
(360 + x) / 6 = 85
360 + x = 85 * 6
360 + x = 510
x = 510 - 360
x = 150 <===
Hello :
<span>A) it is an even function because for all x in R :
f(-x) = 2(-x)²+1
= 2x²+1
f(-x) = f(x)</span>