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inna [77]
2 years ago
6

The diameter of a wheel of a lorry is 150cm. If the lorry travels 376.8m, how many times does the wheel rotate?

Mathematics
1 answer:
tresset_1 [31]2 years ago
4 0
<h3>Answer:  79 full rotations</h3>

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

Explanation:

150 cm = 150/100 = 1.5 m

The wheel has a diameter of 1.5 meters

The circumference of the wheel is

C = pi*d

C = pi*1.5

C = 1.5pi

C = 4.71238898038469

I'm using my calculator's stored version of pi to get the most accuracy.

Then we divide the 376.8 over the circumference found

(376.8)/(4.71238898038469) = 79.9594434093682

Despite being very close to 80, we must round down to 79 because we don't have enough to get that full 80th rotation. In other words, we have 79 full rotations and then some change leftover.

Though for the sake of simplicity, I can see how it's useful to say "about 80 rotations" if 79 seems a bit clunky. I'll stick with 79 however. Let me know if your teacher instructs otherwise.

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The data set of the diameters of the metal cylinders manufactured an automatic machine has sample size of n=29, mean of x= 49.98
Lena [83]

Answer:

we say for  μ = 50.00 mm we be 95% confident that machine calibrated properly with ( 49.926757  ,  50.033243 )

Step-by-step explanation:

Given data

n=29

mean of x = 49.98 mm

S = 0.14 mm

μ = 50.00 mm

Cl = 95%

to find out

Can we be 95% confident that machine calibrated properly

solution

we know from t table

t at 95% and n -1 = 29-1 = 28 is  2.048

so now

Now for  95% CI for mean is

(x - 2.048 × S/√n  ,  x + 2.048 × S/√n )

(49.98 - 2.048 × 0.14/√29  ,  49.98 + 2.048 × 0.14/√29 )

( 49.926757  ,  50.033243 )

hence we say for  μ = 50.00 mm we be 95% confident that machine calibrated properly with ( 49.926757  ,  50.033243 )

8 0
3 years ago
What is the quotient of 5/6 divided by 3/4
matrenka [14]
The correct answer is 10/9 or 1.1. Hope this helps.
8 0
3 years ago
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Georgina works on the 30 floor she took an elevator to the 7 floor how many floors did she travel
svlad2 [7]
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What is the area of a trapezoid with 5m and bases 8 m and 1 m ?
larisa86 [58]

Answer:

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Step-by-step explanation:

4 0
3 years ago
An airline is planning its staffing needs for the next year. If a new route is​ approved, it will hire 837 new employees. If a n
dusya [7]

Considering a discrete distribution, it is found that the expected number of new employees to be hired by the​ airline is of 446.16.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.

In this problem, considering the situation described in the text, the distribution is given by:

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Hence, the expected value is given by:

E(X) = 0.37(867) + 0.63(199) = 446.16.

More can be learned about discrete distributions at brainly.com/question/24855677

6 0
2 years ago
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