Answer:
If 5x+12=44 then value of 5x-12 is 20
Step-by-step explanation:
5x + 12 = 44
- The first step, we have to find the value of x
5x + 12 = 44
5x = 44 - 12
5x = 32
x = 32/5
x = 6.4
- After that, insert the value of x into 5x - 12
5x - 12 = ...
5 ( 32/5 ) - 12
= 32 - 12
= 20
The volume of the original prism is given by:
V1 = (1/2) * (b) * (h) * (H)
Where,
b: base of the triangle
h: height of the triangle
H: prism height
The volume of the prism with new dimensions is:
V2 = (1/2) * (3b) * (3h) * (3H)
Rewriting:
V2 = (3 * 3 * 3) * (1/2) * (b) * (h) * (H)
V2 = (27) * (1/2) * (b) * (h) * (H)
V2 = (27) * V1
Answer:
The relationship between the volumes of the two prisms is:
V2 = (27) * V1
Answer:
- Please see the attached picture for full solution!:)
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Answer:
0.0903
Step-by-step explanation:
Given that :
The mean = 1450
The standard deviation = 220
sample mean = 1560



P(X> 1560) = P(Z > 0.5)
P(X> 1560) = 1 - P(Z < 0.5)
From the z tables;
P(X> 1560) = 1 - 0.6915
P(X> 1560) = 0.3085
Let consider the given number of weeks = 52
Mean
= np = 52 × 0.3085 = 16.042
The standard deviation =
The standard deviation = 
The standard deviation = 3.3306
Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.
Then;
Pr ( Y > 20) = P( z > 20)


From z tables
P(Y > 20)
0.0903
Answer:
He has food for 9 days.
Hence, yes he has enough dog food to last one week.
Step-by-step explanation: