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yanalaym [24]
3 years ago
7

The time to assemble the first unit on a production line is 8 hours. The learning rate is 0.81. Approximately how long will it t

ake for the seventh unit to be​ assembled?
Mathematics
1 answer:
pochemuha3 years ago
3 0

Answer:

4.428 hours

Step-by-step explanation:

If the learning rate is 0.81, the slope of the learning curve is:

b=\frac{ln(0.81)}{ln(2)} \\b=-0.304

The time it takes to produce the n-th unit is:

T_n=T_1*n^b

If T1 = 8 hours, the time required to produce the seventh unit will be:

T_n=8*7^{-0.304}\\T_n=4.428\ hours

It will take roughly 4.428 hours.

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Dennis_Churaev [7]

Answer: 17/7

Step-by-step explanation: Step 1: Simplify both sides of the equation. y+4/15 + 2y−5/5 = 2/5 1/15 y+ 4/15 + 2/5 y+−1= 2/5 (Distribute) ( 1/15 y+ 2/5 y)+( 4/15 +−1)= 2/5 (Combine Like Terms) 7/15 y+ −11/15 = 2/5 7/15 y+ −11/15 = 2/5 Step 2: Add 11/15 to both sides. 7/15 y+ −11/15 + 11/15 = 2/5 + 11/15 7 15 y= 17/15

7 0
3 years ago
A fraction equal to one for the relationship between these units m/c=1
BigorU [14]

\dfrac{m}{c}=1\ \text{therefore}\ m=c\ and\ m,c\neq0

7 0
3 years ago
Christopher bought a new watch at the store when they were having a 20\%20%20, percent off sale. If the regular price of the wat
ioda
You're having some formatting problems.   You may have to do without the special symbols.

<span>Christopher bought a new watch at the store when they were having a 20% off sale.

</span><span>If the regular price of the watch was $48, what did Chris have to pay after the discount was applied?

Let w represent the cost of the watch.  Then the discounted price would be (1.00-0.20)($48) = 0.8($48) = $38.40   (answer)</span>
5 0
3 years ago
The information below is the number of daily emergency service calls made by the volunteer ambulance service of Walterboro, Sout
mafiozo [28]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: The number of emergency service calls made by the volunteer ambulance service of Walterboro, South Carolina for 50 days.

a)

In the first column, you have the possible number of emergency calls made, in the second column, you have the observed absolute frequency (fi) for each value of the variable.

To establish the probability distribution you have to calculate the relative frequency (hi) for each value of X.

The formula for the relative frequency is

hi= fi*n where i= 0, 1, 2, 3, 4

X₁= 0

f₁= 8

h₁= 8/50= 0.16

X₂= 1

f₂= 10

h₂= 0.20

X₃= 2

f₃= 22

h₃= 22/50= 0.44

X₄= 3

f₄= 9

h₄= 9/50= 0.18

X₅= 4

f₅= 1

h₅= 1/50= 0.02

(See attachment)

b)

The variable of interest is a cuantitative discrete variable, so this is an example of a driscrete distribution.

Discrete variables are numerical and take certain numbers within its range of definition, contrary to the continuous variables that can take any value within the range of definition of the variable.

Another example of a discrete variable is "the money", If the variable is "I have at most 10 dollars in my wallet", the range of definition goes from 0 dollars to 10 dollars.

c) To calculate the mean when the data is arranged in a frequency table you have to use the following formula:

X[bar]= ∑Xihi= (0*0.16)+(1*0.2)+(2*0.44)+(3*0.18)+(4*0.02)= 1.7

This means that they expect an average of 1.7 calls per day.

d) The formula for the standard deviation is:

S=\sqrt{\frac{1}{n-1}[sumX^2fi-\frac{(sumXfi)^2}{n} ] }

∑X²fi= (0²*8)+(1²*10)+(2²*22)+(3²*9)+(4²*1)=  195

∑Xfi= (0*8)+(1*10)+(2*22)+(3*9)+(4*1)= 85

S=\sqrt{\frac{1}{49}[195-\frac{(85)^2}{50} ] }= 1.015

I hope this helps!

3 0
3 years ago
Find the square root of the following number by prime factorization: 65536
Vikki [24]

Answer:

256

Step-by-step explanation:

256 X 256 = 65536

7 0
3 years ago
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