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Maru [420]
3 years ago
6

The diameter of the wheel of a unicycle is 0.7m. Elaine tries to ride the unicycle and manages to go in a straight line for 32 f

ull revolutions before falling off. How far did Elaine manage to cycle in metres? Give your answer rounded to 1 DP.
Mathematics
1 answer:
Olenka [21]3 years ago
7 0

Answer:

70.4metres

Step-by-step explanation:

Wheel Diameter = 0.7m

Wheel Radius; 0.7m / 2 = 0.35m

For one rotation of the wheel, the distance travelled = circumference of the wheel.

Circumference = 2 x pi x radius

= 2 × π × r

= 2 × π × 0.35

= 2.1991148575 m

Elaine tries to ride the unicycle and manages to go in a straight line for 32 full revolutions

Distance travelled with 32 full revolutions of the wheel = 32 x 2.1991148575 m =

Distance in meters = 70.37167544m

Approximately = 70.4m

Therefore, Elaine managed to cycle 70.4metres

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Answer:

0.6 liters left

Step-by-step explanation:

So we know that the container is filled with 2 liters.

We also know that he poured 1.4 liters out of the container.

This leads to the conclusion

2 - 1.4 = 0.6

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3 years ago
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A closet contains 8 shirts, 5 skirts, and 6 pairs of shoes. How many possible outfit combinations are there?
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since an outfit depends on the on the type of clothes worn @ time
  
8 shirts × 5 skirts × 6 pairs 
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public accountant financial planner 50.2 48.0 59.8 49.2 57.3 53.1 59.2 55.9 53.2 51.9 56.0 53.6 49.9 49.7 58.5 53.9 56.0 52.8 51
ddd [48]

Using the formula of test statistic, the value of the test statistic is 2.6961.

The mean of the public accountant is

Mean x(p) =50.2+59.8+57.3+59.2+53.2+56.0+49.9+58.5+56.0+51.9/10

x(p) = 55.2

Now the standard deviation of public accountant is

SD(p) = √{∑(x-x(p))^2/n-1}

SD(p) = √(50.2-55.2)^2+(59.8-55.2)^2+..................+(51.9-55.2)^2/n-1

After solving;

SD(p) = 3.34

The mean of the financial planner is

Mean x(F) =48.0+49.2+53.1+55.9+51.9+53.6+49.7+53.9+52.8+48.9/10

x(F) = 51.6

Now the standard deviation of financial planner is

SD(F) = √{∑(x-x(p))^2/n-1}

SD(F) = √(48.0-51.6)^2+(49.2-51.6)^2+..................+(48.9-51.6)^2/n-1

After solving;

SD(F) = 2.57

Test Statistic (t) = \frac{x(P)-x(f)}{\sqrt{\left(\frac{(n(p)-1)s(p)^2+(n(f)-1)s(f)^2}{n(p)+n(f)-2}\left(\frac{1}{n(p)}+\frac{1}{n(f)}\right)\right)}}

t = \frac{55.2-51.61}{\sqrt{\left(\frac{(10-1)(3.34))^2+(10-1)(2.57)^2}{10+10-2}\left(\frac{1}{10}+\frac{1}{10}\right)\right)}}

After solving

t = 2.6961

Hence, the value of the test statistic is 2.6961.

To learn more about test statistic link is here

brainly.com/question/14128303

#SPJ4

The right question is

public accountant  50.2  59.8  57.3  59.2  53.2  56.0  49.9  58.5  56.0  51.9

financial planner   48.0  49.2  53.1   55.9  51.9   53.6  49.7  53.9 52.8  48.9

Use a 0.05 level of significance and test the hypothesis that there is no difference between the starting annual salaries of public accountants and financial planner

Find the value of the test statistic.

4 0
1 year ago
Max correctly solved this inequality.
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Answer:

Answer:

See the graph attached. The red arrow represents the shaded area.

Explanation:

The inequality and its solution are given:

     

The solution set is all real numbers less than or equal to -50.

In a number line, the values less than -50 are all the values that are to the left of -50. Thus, the graph of a ≤ -50 must include -50 and the region to the left of it.

To indicate that - 50 is included, draw a solid point; then, shade the region since it to its left.

Please, see the graph attached. The red arrow represents the shaded area.

Step-by-step explanation:

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