Answer:
-4/45
Step-by-step explanation:
14 and 35 are given by 7th table.
Now , 6 and 27 are given by 3rd table
Answer:
the probability that Jack draws the blue ball is 0.38539
Step-by-step explanation:
Given the data in the question;
box contains
blue balls = 5
red balls = 8
Jim and Jack start drawing balls from the box, respectively, one at a time, at random, and without replacement
Now,
on the first attempted;
⇒ ( 8/13) × ( 5/12) = 10/39
on the second attempt;
⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) = 14/143
on the third attempt;
⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 5/8 ) = 35/1287
on the fourth attempt;
⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 3/8 ) ( 2/7 ) ( 5/6 ) = 5/1287
so we add everything;
⇒ 10/39 + 14/143 + 35/1287 + 5/1287
= 0.38539
Therefore, the probability that Jack draws the blue ball is 0.38539
X = -3
y = 3*sqrt(3)
r = sqrt(x^2 + y^2)
r = sqrt((-3)^2 + (3*sqrt(3))^2)
<span>r = sqrt(9+27)
</span><span>r = sqrt(36)
</span>r = 6
theta = arctan(y/x)
<span>theta = arctan(3sqrt(3)/(-3))
</span>theta = arctan(-sqrt(3))
theta = -60 degrees which is coterminal to 300 degrees
So the polar form is (r,theta) = (6, 300)
Answer:
53.5
Step-by-step explanation:
c = the height of the first 3 boys.
c = 54 + 48.5 + 46
c = 148.5
Now you add a fourth boy. His height is h.
A(h)= (c + h)/d
d = the total number of boys which is 4.
The new average is 50.5
A = (c + h)/d
50.5 = (148.5 + h) / 4 Multiply both sides by 4
202 = 148.5 + h Now subtract 148.5 from both sides
202 - 148.5 = h
h = 53.5
Answer:
25%
Step-by-step explanation:
The average cost of the automobile in 2013 is $16,000
The present cost now is $20,000
Therefore the rate of increase between the two automobiles can be calculated as follows
= 20,000-16,000/16,000
= 4,000/16,000
= 0.25×100
= 25%
Hence the rate of increase is 25%
