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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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There are 14 girls and 2 boys taking karate lessons. Write the ratio that compares the number of girls taking karate lessons to
Delvig [45]

Answer:

The correct answer is 7 : 8.

Step-by-step explanation:

There are 14 girls and 2 boys taking karate lessons.

Total number of students taking the karate class is 16.

The ratio that compares the number of girls taking karate lessons to the total number of students taking karate lessons is given by 14 : 16 = 7 : 8.

This can be interpreted as for every 8 students in the karate lesson, 7 of them are girls.

8 0
3 years ago
Can someone please please help me?? :(
salantis [7]

Answer:

-60 3/4m

Step-by-step explanation:

The diver first dives down 50 1/4m, which is represented by the -50 1/4m. He then descends another 10 1/2m down. So -50 1/4m - 10 1/2m.

-50-10=-60

-(1/4)-(1/2)= (1/4)+(1/2)

(1/4+1/2)=(2/8+4/8) you can only add with the same denominators.

=6/8 (simplifies down to 3/4)

8 0
2 years ago
PLEASE HELP
Nikolay [14]

Answer:

204,160,000

Step-by-step explanation:

Assuming the sample is a good representation of the people from the United States.

Since there were 1,000 surveyed... and 638 of them were wearing glasses,  that makes a proportion of 638 out of  1,000 people, or 63,8 / 100 people... so 63.8%... or 0.638

So, if we assume that the US population is of 320 million, how many people does that make wearing glasses.... we just have to multiply 320M by 0.638

G = 320,000,000 * 0.638 = 204,160,000

8 0
2 years ago
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The given curve is rotated about the y-axis. find the area of the resulting surface. y = 1 3 x3/2, 5 ≤ x ≤ 12
Katyanochek1 [597]
The area of the resulting figure will be given by:
∫f(x)dx
f(x)=13/2x^3
thus
∫f(x)dx=13/2∫x³dx=13/8[x^4]
integrating over the inerval
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=32680+3/8 sq. units
=
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3 years ago
What would 135 represent in the data set below?
Citrus2011 [14]
C. The outlier because it doesn’t fit with the rest
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