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: y = - 4x/3 + 12
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = y intercept
m represents the slope of the line.
m = (y2 - y1)/(x2 - x1)
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (6, 4) and (3, 8),
y2 = 8
y1 = 4
x2 = 3
x1 = 6
Slope,m = (8 - 4)/(3 - 6) = 4/- 3 = - 4/3
To determine the y intercept, we would substitute x = 3, y = 8 and m= - 4/3 into y = mx + c. It becomes
8 = - 4/3 × 3 + c
8 = - 4 + c
c = 8 + 4
c = 12
The equation becomes
y = - 4x/3 + 12
Answer:
D. 5 packs of pens and 6 packs of notebooks
Step-by-step explanation:
5 packs * 6 per pack = 30 pens
6 packs * 5 per pack = 30 notebooks
Tracy should deposit 1,369.86 to earn 3,000 in 5 years at 4% interest rate compounded 4 times a year
Given:
Compounded Interest = 3000
Term = 5 year
Frequency = 4 times a year
interest rate = 4%
Principal = unknown.
C.I = Principal × (1 + rate)^t
3000 = Principal × (1.04⁴)⁵
3000 = Principal × 1.17⁵
3000 = Principal x 2.19
3000/2.19 = Principal
1,369.86 = Principal
Answer:
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