Answer: 1/2
Step-by-step explanation:
First step: we will use Tchebyscheff's theorem. The theorem can help us to explain random variables with finite variance as well as mean.
P (|Y-u| < or equals to 1) | > or equals to 0.75
= 1 - 1/2
Therefore, w= 2
Step 2: we use Tchebyscheff's inequality, which is:
= -2¶ + u < y < 2¶ + u
Therefore, we have; --2¶ + u
= 1 + u
1= K¶
¶ = 1/2.
Please take note that ¶ is represented as sigma symbol.
Since I can't get the symbol here with me. Also the u repres represent 'micro' symbol
Answer:
From the graph attached, we know that
by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like
and
.
We also know that, by definition of linear pair postulate,
and
are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.
They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that
and
together are 180°, because they are on a straight angle. That is, 
If we substitute
for
, we have
, which means that
and
are also supplementary by definition.
Based on the conditions given above, the number of bacteria at any time t (in hours) is calculated by the equation,
at = (a1)(2^t/2)
where a1 is the initial number of bacteria and at is the number at any time t. Substituting the givens,
a6 = (103)(2^6/2) = 824
Thus, there are 824 bacteria after 6 hours.
Answer:
Option C.
Step-by-step explanation:
The given similarity statement is

We need to find the side which is corresponds with ED.
According to the given similarity statement the pairs of corresponding sides are:



Since, YX is corresponds with ED, therefore, the correct option is C.
Answer:
Step-by-step explanation:
5 cups per day.....1 cup = 8oz.....so 5 cups = (5 * 8) = 40 oz
cut down by 75%....means ur only drinking 25%
25% of 40 oz =
0.25(40) = 10 oz per day <===