SOLUTION
The mean is 4min
standard deviation is 1min
the z score is
where
then we have
The probability the call lasted less than 3 min will be
Therefore, the probability that (z < -1 ) is
[tex]\begin{gathered} Pr(z<-1)=Pr(0
Hence, the percentage of the calls that lasted less than 3 min is 16%
Answ x=59
Step-by-step explanation:
2[4 − 7(3x + 4y)] + 2[3x(−2y)]
2[4 - 21x -28y] + 2[-6xy]
8 - 42x - 56y -12xy
the perimeter of given rectangular garden is (8 - 42x - 56y -12xy).
Answer: See below
Step-by-step explanation:
<u>To find the factor,</u>
f(x) = 0
<u>So,</u>
x = 0 multiplicity 2
x = -6 multiplicity 1
x = 6 multiplicity 1
For an even multiplicty, the graph touches the x-axis, and for an odd multiplicty, the graph crosses the x-axis
<u>Therefore,</u>
x = 0 multiplicty 2, Touch
x = -6 multiplicty 1, Cross
x = 6 multiplicty 1, Cross
Answer:
- a) 11, d) 25, e) 14, b) 25, c) 28, f) 33
Step-by-step explanation:
<h3>Given</h3>
- ΔBDF, with H is the centroid of BDF, DF = 50, CF = 42, and BH = 22
<h3>To find</h3>
<h3>Solution</h3>
As per definition of the centroid, the points C, E and G are midpoints of respective sides and the length of short and long distances from the centroid have ratio of 1/3 and 2/3 of median
- a) HE = 1/2BH = 1/2(22) = 11
- d) DE = 1/2DF = 1/2(50) = 25
- e) CH = 1/3CF = 1/3(42) = 14
- b) EF = DE = 25
- c) HF = 2/3CF = 2/3(42) = 28
- f) BE =BH + HE = 22 + 11 = 33
