Each person who applies for an assembly job at Robert's Electronics is given a mechanical aptitude test. One part of the test in
1 answer:
The mean in minutes of the length of time given= 9.1
<h3>Calculation of mean when frequency table is given</h3>The formula used for the determination of mean when a frequency table is given is
= total/n
Where total = frequency×midpoint
n = 42
To calculate the total, the mid point of each length of time is determined as follows;
1+4/2 = 2.5 × 4 = 10
4+7/2= 5.5 × 8 = 44
7+10/2 = 8.5 × 14= 119
10+13/2 = 11.5× 9 = 103.5
13+16/2= 14.5×5 = 72.5
16+19/2= 17.5× 2= 35
Total= 10+44+119+103.5+72.5+35 = 384
Therefore mean = 384/42= 9.1
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Answer:
The point is not a solution of the system of inequalities
Step-by-step explanation:
we have
-----> inequality A
-----> inequality B
we know that
If a ordered pair is a solution of the system of inequalities
then
the ordered pair must be satisfy the inequalities of the system
Verify
For
substitute the value of x and the value of y in the inequalkity A and in the inequality B
Inequality A
-------> is not true
therefore
The point is not a solution of the system of inequalities
Answer:
Note that the tangents to the circles at A and B intersect at a point Z on XY by radical center. Then, since∠ZAB=∠ZQA and ∠ZBA=∠ZQB. ∠AZB+∠AQB=∠AZB+∠ZAB+∠ZBA=180°. ∴ZAQB is cyclic.But if O is the center of w, clearly ZAOB is cyclic with diameter ZO, so ∠ZQO is 90° ⇒Q is the mid-point of XY.Then, by Power of a Point, PY· PX = PA · PB = 15 and it is given that PY+PX = 11. Thus,PX=(11±)/2. So, PQ=
, PQ²=
. Thus, the answer is 61+4=65.
Step-by-step explanation: