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3 years ago

A robot can complete 5 tasks in 2/3 hour. Each task takes the same amount of time.

Mathematics

2 answers:

Natasha2012 [34]3 years ago

7 0

Answer:

5 tasks = 2/3 hour.

1 task = 2/3 hour /5 = 2/15 hour.

How many tasks can the robot complete in one hour?

1 hour / (2/15 hour/task) = 15/2 tasks = 7.5 tasks.

earnstyle [38]3 years ago

4 0

Answer:

A. 8 Minutes

B. 7.5 Tasks

Step-by-step explanation:

A. Since 2/3 of an hour is 40 minutes. We can divide 40 by 5 to get the answer of 8 minutes per task.

B. An hour is 60 minutes. So 60 divided by 8 minutes would be 7.5 Tasks.

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lara [203]

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4 years ago

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If h(x)=(fog)(x) and h(x) = sqrt x+5, find g(x) if f(x) = sqrtx+2

Katen [24]

Answer: The value of g(x) is x+3.

Step-by-step explanation:

Since we have given that

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Here,

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We need to find the value of g(x):

$f(x)=\sqrt{x+2}\\\\f(g(x))=\sqrt{g(x)+2}\\\\h(x)=\sqrt{g(x)+2}\\\\\sqrt{x+5}=\sqrt{g(x)+2}\\\\x+5=g(x)+2\\\\g(x)=x+5-2=x+3$

Hence, the value of g(x) is x+3.

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4 years ago

Slope intercept form of points 0, -4 and -1, 4

slava [35]

Answer:

$y=\frac{0}{-1} -4$

Step-by-step explanation:

first, you have to find the slope, and to do that you use this equation $\frac{y2-y1}{x2-x1}$

so, now to insert your points (0,-4), (-1,4)

(x1,y1) (x2,y2)

$\frac{4-4}{-1-0} = \frac{0}{-1}$

now that you have the slope you can find the y-intercept of the slope-intercept form by looking at your first point (0,-4) and get -4

- if you were to look at this point on a graph it would be on the y-axis therefore, -4 is the y-intercept [if you don't have a point like this one then you can look at a graph with one of your points and make a slope until you are on the y-axis :)]

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3 years ago

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Vera_Pavlovna [14]

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3 years ago

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A company manufactures a wash-down motor that is used in the food processing industry. The motor is marketed with a warranty tha

scZoUnD [109]

Answer:

a) P [ X ≤ 12000 ] = 0.0262 or 2.62 %

b) P [ X > 16100] = 0,0228 or 2,28 %

X = 13479,2 hours or 13500 hours

Step-by-step explanation:

Normal Distribution

μ₀ = 14000 hours and σ = 1050 hours

a) Probability of X (replacement of motor free of charge)

Z = ( X - μ₀ ) / σ

Z = ( 12000- 14000) / 1050

Z = - 2000/1050

Z = - 1,904

From z Table we get

for z = -1.904 P [ X ≤ 12000 ] = 0.0262

P [ X ≤ 12000 ] = 0.0262 or 2.62 %

b) What % of motors can be expected to operate more than 16100 hours

z = ( 16100 - 14000) / 1050

z = 2100/1050 ⇒ 2

From z table we find with z = 2 total number f motor operating up to 16100 hours

From z table we find 0,9772

Then probability of motors operating for more than 16100 hours is:

P [ X > 16100] = 1 - 0.9772 = 0,0228

Then

P [ X > 16100] = 0,0228 or 2,28 %

c) The average hours of operation before failures if only 1% of motors would be replaced free of charge is:

1% = 0,01 Probability then z score is z = 0,4960

0,4960 = ( 14000 - X ) / 1050

0,4960 * 1050 = ( 14000 - X )

520,8 - 14000 = - X

X = 13479,2 hours as is not common such offer company could set up guarantee for 13500 h

7 0

4 years ago