Answer:
Step-by-step explanation:
Given
The length of a cuboid is
breadth is
Total surface area is
Surface area is given by
Insert the values
Start with the slope formula and simplify.
Take a look below.
Answer:
Step-by-step explanation:
Since AC || DE, and ABC forms a triangle, we can deduce that ABC is a smaller triangle inside triangle DBE.
In the second step, we see that ∠CAB in the smaller triangle is congruent to ∠EDB in the larger one, due to the corresponding angles theorem. We also see that ∠ACB in the smaller triangle is congruent to ∠DEB in the larger one, again by the corresponding angles theorem.
This leads to the third step; since we have two of the angles in one triangle congruent to the corresponding angles in the other triangle, this means the third angle will be congruent (since all triangles equal 180°, and the first two angles are equal, the third must be equal as well). Two triangles in which all three angles of one triangle are congruent to the three angles of the other are similar triangles.
Since the triangles are similar, corresponding sides have the same ratio. This means that the ratio of AB to the larger side DB is the same as the ratio of CB to the larger side EB; this gives us
AB/DB = CB/EB.
Answer:
126 marbles
Step-by-step explanation:
if 42 is 1/3 of the jar, times it by 3 and that's the total.
Answer:
The lowest time limit in which 95% of the bugs can be found is 11.22 hours.
Step-by-step explanation:
We are given that X is the time in hours required to find a bug in a software system. Assume that X is normally distributed with mean of 3 and standard deviation of 5.
<em>So, X = time in hours required to find a bug in a software system </em>
X ~ N()
The z score probability distribution is given by;
Z = ~ N(0,1)
where, = mean value
= standard deviation
<em>Let the lowest time limit in which 95% of the bugs can be found = </em><em />
Now, we have to find the lowest time limit in which 95% of the bugs can be found, i.e.;
P( < ) = 0.95
P(Z < ) = 0.95
Now, the critical value of in the z table which given an area of less than 95% is 1.6449, which means;
= 1.6449
= 3 + 8.22 = 11.22
Therefore, the lowest time limit in which 95% of the bugs can be found is 11.22 hours.