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pentagon [3]
3 years ago
12

A coffee machine can be adjusted to deliver any fixed number of ounces of coffee. if the machine has a standard deviation in del

ivery equal to 0.4 ounce, what should be the mean setting so that an 8-ounce cup will overflow only 0.5% of the time?
Mathematics
1 answer:
zysi [14]3 years ago
6 0
The mean will be calculates as follows; from the formula of z-score we shall have:
z=(x-μ)/σ
the z-score associated with 0.5% is 0
thus
0=
(8-μ)/0.4=0
solving for x we get:
μ=9 

Answer: μ=9

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Show work please. thank you
Eduardwww [97]
Problem 17, part A

i = simple interest = 900 dolars
p = principle = 1500 dollars
r = interest rate = 0.03 (decimal form of 3%)
t = time in years = unknown (leave it as t for now)

Plug in those values mentioned above and solve for t.

Simple interest formula
i = p*r*t
900 = 1500*0.03*t
900 = 45*t
900/45 = 45*t/45
20 = t
t = 20

Answer: 20 years

=============================================

Problem 17, part B

p = 1500
r = 0.03
t = 5 years

A = p+p*r*t
A = 1500+1500*0.03*5
A = 1500+225
A = 1725

Answer: 1725 dollars

=============================================

Problem 17, part C

Factor out the GCF p, then divide both sides by 1+rt

A = p+p*r*t
A = p*1+p*r*t
A = p*(1+rt)
A/(1+rt) = p*(1+rt)/(1+rt)
A/(1+rt) = p
p = A/(1+rt)

Answer: p = A/(1+rt)

The right side is the fraction of A all over the quantity (1+rt) which may be more readable if written like so 
p = \frac{A}{1+rt}
If you're going to write it in the way p = A/(1+rt) then don't forget to use parenthesis. 

4 0
3 years ago
Solve the equation: -6=b/18 What is b?
Law Incorporation [45]

Answer:

b = −108

Step-by-step explanation:

Solve for b by simplifying both sides of the equation, then isolating the variable.

3 0
3 years ago
Read 2 more answers
Alan can do 2/3 part of his work and sam can do 3/4 part of her work .Who can do more work​
guajiro [1.7K]

Answer:

Sam can do more work.

Step-by-step explanation:

2/3 equals out to just over half of his work done. 0.66666667.

3/4 equals out to almost all of her work done. 0.75.

*hope this helps*

8 0
3 years ago
Read 2 more answers
Find the volume of the sphere whose radius is 0.8 cm
vekshin1

Answer:

2.14 cm^3

Step-by-step explanation:

V = 4/3 pi r^3

V = 4/3 pi 0.512

V = 2.14

8 0
3 years ago
Read 2 more answers
Select the step in the solution that shows the first error.
siniylev [52]

Answer:

Step 2: 20x = 80 + 10x

Step-by-step explanation:

Step 1: 20x - 10 = 80 + 10x

Add 10 to each side

20x - 10+10 = 80+10 + 10x

20x  = 90 + 10x

Step 2: 20x = 80 + 10x   This has the first error

Step 3: 10x = 80

Step 4: x= 8

8 0
3 years ago
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