Answer:
93.75 gm.
Step-by-step explanation:
We have been given that an element has half life of about 20 days. We are asked to find the amount of 3000 gm sample left after 100 days.
We will use half-life formula to solve our given problem.
, where,
A = Amount left after t units of time,
t = Time,
a = Initial amount,
h = Half-life.
Upon substituting our given values in above formula, we will get:
Therefore, 93.75 gm of sample is left after 100 days.
Answer:
The confidence interval is 95% and the significance level is and
and the critical value would be:
And the margin of error would be:
Step-by-step explanation:
We have the following info given:
the sample size selected
the number of people who lease a car
the estimated proportion of people who lease a car
The margin of error is given by:
The confidence interval is 95% and the significance level is and
and the critical value would be:
And the margin of error would be:
Answer: m1 = 4
m2 = 5
m3 = 2
Step-by-step explanation:
given (21/11, 6/11) = m1 (-1/3) + m2 (3, -2) + m3 (5, 2)
= (-m1 + 3m2 + 5m3) / 11 = 21/11
= (3m1 + (-2)m2 + 2m3) / 11 = 6/11
so that m1 + m2 +m3 = 11
-m1 + 3m2 + 5m3 = 21
3m1 - 2m2 + 2m3 = 6
from this, we get the augmented matrix as
\left[\begin{array}{cccc}-1&1&1&11\\-1&3&5&21\\3&-2&2&6\end{array}\right]
= \left[\begin{array{cccc}-1&1&1&11\\0&4&6&32\\0&-5&-1&-27\end{array}\right] \left \{ {{R2=R2 + R1} \atop {R3=R3 -3R1 }]} \right.
= \left[\begin{array}{cccc}-1&1&1&11\\0&1&3/2&8\\0&-5&-1&-27\end{array}\right]
= \left[\begin{array}{cccc}-1&1&1&11\\0&1&3/2&8\\0&0&13/2&13\end{array}\right]
(R3 = R3 + 5R2)
this gives m1 + m2 + m3 = 11
m2 + 3/2 m3 = 8
13/2 m3 = 8
13/2 m3 = 13
m3 = 2
m2 = 8 -3/2 (2) = 5
= m1 = 11- 5 - 2 = 4
this gives
m1 = 4
m2 = 5
m3 = 2
<u>Given</u>:
Given that the two sides of the triangle are x, 4.0 and 5.6
We need to determine the range of possible sizes for the side x.
<u>Range of x:</u>
The range of x can be determined using the triangle inequality theorem.
The triangle inequality theorem states that, "if any side of a triangle must be shorter than the other two sides added together".
Thus, applying the theorem, we have;
Also, the the triangle inequality theorem states that, "the third side must be also larger than the difference between the other two sides".
Thus, we have;
Thus, the range of possible values for x are
Answer:
point B
Step-by-step explanation:
isolate the x to solve for x:
=> x = 1 -
=> x =
point B=> the half of is
=>
x
=
Answer:
Option B is correct.
Step-by-step explanation:
