Its the fırst one or the thırd one
1/4 = 4/16
six month improvement-> 7/16-4/16 =3/16
after another six months-> 7/16+3/16=10/16
Ans:10/16
Answer:
The right answer is:
(a) -10.67
(b) 0.7986
Step-by-step explanation:
(a)
According to the question,
<u>X P(X) X.P(X) X2.P(X)</u>
<u>12130 0.002 24.26 294274</u>
<u>-35 0.998 -34.93 1222.55</u>
Now,
or,
hence,
The mean will be:
(b)
According to the question,
n = 12
p = 0.125
q = 1 - p
= 0.875
Now,
⇒
By substituting the values, we get
⇒
⇒
⇒
⇒
⇒
Answer:
a) 74.3
b) 98.8
Step-by-step explanation:
The tenth decimal place is the first place immediately to the right of the decimal point. When rounding, you first need to look at the number to the right of the place you wish to find. If the number in this spot is 5 - 9, round the number in the tenth decimal place up one unit. If the number is 0 - 4, keep the number in the tenth decimal place the same. Finally, remove all of the numbers to the right of the tenth decimal place.
a) 74.3472
^ tenth
The next number to the right (4) is not big enough to round up
a) 74.3
b) 98.759
^ tenth
The next number to the right (5) is big enough to round up
b) 98.8
Answer:
It will take the first person 12 days and the second person x+12 or 20 days
Step-by-step explanation:
The equation for time to do a job is
1/A + 1/B = 1/C
where A is the time for person A to do the job alone
B is the time for person B to do the job alone
and C is the time for A and B to do the job together
Person A does it in x days and Person B does it in x+8 days and together they do it in 7.5 days
Substituting in
1/ (x) + 1/ (x+8) = 1/ 7.5
Multiply by (x)(x+8)(7.5) to clear the fractions
(x)(x+8)(7.5)(1/ (x) + 1/ (x+8)) = (1/ 7.5)(x)(x+8)(7.5)
Distribute
(x)(x+8)(7.5)(1/ (x)) +(x)(x+8)(7.5)( 1/ (x+8)) = (1/ 7.5)(x)(x+8)(7.5)
Cancel
(x+8)(7.5) + 7.5x = (x)(x+8)
Distribute
7.5x +60 +7.5x = x^2 +8x
Combine like terms
15x +60 = x^2 +8x
Subtract 15x from each side
15x-15x +60 = x^2 +8x-15x
60 = x^2 -7x
Subtract 60 from each side
60-60 = x^2 -7x - 60
0 = x^2 -7x - 60
Factor
0 = (x-12) *(x+5)
Using the zero product property
x-12=0 x+5=0
x=12 x=-5
Since the number of days cannot be zero
It will take the first person 12 days and the second person x+12 or 20 days