So first make them inproper fractions
6 2/3 = 20/3
4 7/8 = 39/8
then you multiply them
20 * 39 = 780
3 * 8 = 24
12 can go into both numbers
780 <span>÷ 12 = 65
24 </span><span>÷ 2 = 2
the answer is 65/2 or if you want it simplified 32 1/2
Hope this helped you :)
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Answer:
Step-by-step explanation:
Since the life of the brand of light bulbs is normally distributed, we would apply the the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = life of the brand of lightbulbs
u = mean life
s = standard deviation
From the information given,
u = 1300 hrs
s = 50 hrs
We want to find the probability that a light bulb of that brand lasts between 1225 hr and 1365 hr. It is expressed as
P(1225 ≤ x ≤ 1365)
For x = 1225,
z = (1225 - 1300)/50 = - 1.5
Looking at the normal distribution table, the probability corresponding to the z score is
0.06681
For x = 1365,
z = (1365 - 1300)/50 = 1.3
Looking at the normal distribution table, the probability corresponding to the z score is
0.9032
Therefore
P(1225 ≤ x ≤ 1365) = 0.9032 - 0.06681 = 0.8364
A prime factor has no multiples and cant be broken down any further
Answer:
Answer: The correct option is (D) P″(9, -12) and Q″(15, -3).
Step-by-step explanation: Given that triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 to form triangle P″Q″R″.
The co-ordinates of vertices P and Q are (3, -4) and (5, -1) respectively.
We are to find the co-ordinates of the vertices P″ and Q″.
Case I : ΔPQR dilated to ΔP'Q'R'
The co-ordinates of P' and Q' are given by
Case II : ΔP'Q'R' dilated to ΔP''Q''R''
The co-ordinates of P'' and Q'' are given by
Thus, the co-ordinates of the vertices P'' and Q'' are (9, -12) and (15, -3).
Option (D) is CORRECT.
Step-by-step explanation:
Answer:
a)
P(X = 0) = 5/10
P(X = 5) = 3/10
P(X = 10) = 2/10
b)
E = 0·5/10 + 5·3/10 + 10·2/10 = 3.5
V = 0^2·5/10 + 5^2·3/10 + 10^2·2/10 - 3.5^2 = 15.25
