Answer:

Step-by-step explanation:
Given
(2,6) and (10, 12)
Required
Determine the midpoint
Midpoint, M is calculated as:

Substitute values if x1, y1, x2 and y2



Answer-The vector is
=
7
→
i
−
24
→
j
and the magnitude is
=
25
Explanation:
Let the point
A
=
(
−
2
,
7
)
and
B
=
(
5
,
−
17
)
Then,
−−→
A
B
=
(
5
−
(
−
2
)
−
17
−
7
)
=
(
7
−
24
)
The magnitude of
−−→
A
B
is
∣
∣
∣
∣
∣
∣
−−→
A
B
∣
∣
∣
∣
∣
∣
=
√
(
7
)
2
+
(
−
24
)
2
=
25
Step-by-step explanation:
Answer:
0.25% probability that they are both defective
Step-by-step explanation:
For each computer chip, there are only two possible outcomes. Either they are defective, or they are not. The probability of a computer chip being defective is independent of other chips. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
5% of the computer chips it makes are defective.
This means that 
If an inspector chooses two computer chips randomly (meaning they are independent from each other), what is the probability that they are both defective?
This is P(X = 2) when n = 2. So


0.25% probability that they are both defective
Answer:
I hate to break it, but you ain't giving any information or numbers
Volume of the candle:
V = B * h ( where B is the base area and h is the height )
270 = B * 18
B = 270 : 18
B = 15 cm²
B = a * b / 2
B = 5 * b / 2
15 = 2.5 b
b = 15 : 2.5
b = 6 cm
Therefore dimensions of the box are: a = 7cm, b = 6 cm, c = 18 cm.
Answer: B ) 7 by 6 by 18 cm.