Answer:
a) 0.1091
b) 0.9994
c) 0.5886
Step-by-step explanation:
X = the number of fish out of 20 that die after 24 hours
x = 0, 1, 2, . . . , 20
X~ Binomial (n= 20, p =0.20)
P(14 survive) = P(X = 6)
= 
=0.1091
Similarly we can find out
P(at least 10 survive) = P( X <= 10 ) = (Using technology) = 0.9994
P(at most 16 will survive) = P(X <= 16) = (Using technology) = 0.5886
Answer:
78.5 m²
Step-by-step explanation:
The formula to find the area of a quarter of a circle: 
, where 
is the radius (diameter ÷ 2) and the 
is alterable.
1) Substitute the given values into the formula.
= 
2) Solve it.
= 
= 78.5
3) Round it off to the nearest tenth. In this case, it has already been rounded off.
Answer:
x = -26 and y = -2
I hope this is the answer you are looking for
Step-by-step explanation:
x-8y = -10 => add 8y to both sides
+8y = +8y
x = -10+8y
-2(-10+8y) -6y = -24 => intersect what you got into the first equation
20-16y-6y = -24 => Distribute the -2
20-22y = -24 => subtract 20 in both sides
-20 = -20
-22y = -44 => divided by -22 in both sides
/-22 = /-22
y = -2
x-8(-2) =-10 => intersect the y into the other equation
x+16 = -10 => multiply -8*-2
-16 = -16
x = -26 => subtract 16 in both sides.
Answer:
Step-by-step explanation:
(a) 3x=4(x-2.25) (or simplified: 3x=4x-9)
(b) 3x=4x-9
0=x-9
x=$9
(c) 3x9=27
4x9=36
36-9=27
and 27=27 therefore they spent the same and it is correct
(d) Tanya's items cost $9 each and Tony's items cost $2.25 less than this, or $6.75
