Answer:
The standard deviation will be: 2.1
Step-by-step explanation:
We know that standard deviation is basically the square root of variance.
Using the formula to calculate the standard deviation

As
so the standard deviation can be calculated as:
standard deviation 


Therefore, the standard deviation will be: 2.1
Answer:
Wonka bars=3 and Everlasting Gobstoppers=24
Step-by-step explanation:
let the wonka bars be X
and everlasting gobstoppers be Y
the objective is to
maximize 1.3x+3.2y=P
subject to constraints
natural sugar
4x+2y=60------1
sucrose
x+3y=75---------2
x>0, y>0
solving 1 and 2 simultaneously we have
4x+2y=60----1
x+3y=75------2
multiply equation 2 by 4 and equation 1 by 1 to eliminate x we have
4x+2y=60
4x+12y=300
-0-10y=-240
10y=240
y=240/10
y=24
put y=24 in equation 2 we have'
x+3y=75
x+3(24)=75
x+72=75
x=75-72
x=3
put x=3 and y=24 in the objective function we have
maximize 1.3x+3.2y=P
1.3(3)+3.2(24)=P
3.9+76.8=P
80.7=P
P=$80.9
34560 ounces
Step by Step Explanation:
12 x 64 = 768
768 x 45 = 34560 ounces
Answer:
8.68?
Step-by-step explanation:
adding them together just like that she buys cat food 6.75+ 1.89 for cat treats wouldn't thw be right? unless your needing tax as well and that's typically 10cents to ever dollar you spend
To solve the
following problems, we use the binomial probability equation:
P (r) = [n!/(n-r)!
r!] p^r q^(n-r)
where,
n = total
number of households = 8
r = number of
sample
p =
probability of success = 65% = 0.65
q = probability
of failure = 0.35
A. r = 5
P (r=5) = [8!
/ 3! 5!] 0.65^5 0.35^3
P (r=5) =
0.28
B. r >5
P (r=6) = [8!
/ 2! 6!] 0.65^6 0.35^2
P (r=6) =
0.26
P (r=7) = [8!
/ 1! 7!] 0.65^7 0.35^1
P (r=7) =
0.14
P (r=8) = [8!
/ 0! 8!] 0.65^8 0.35^0
P (r=8) =
0.03
Therefore
total is:
P (r>5) = 0.26
+ 0.14 + 0.03 = 0.43
C. r ≤ 5
P (r ≤ 5) = 1
- P (r>5)
P (r ≤ 5) = 1
– 0.43
P (r ≤ 5) =
0.57
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