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Virty [35]
2 years ago
12

Street sweeping vehicles can clean 3 miles of streets per hour. A city owns two street sweepers, and each sweeper can be used fo

r three hours before it comes in for an hour to refuel. During an 18-hour shift, how many miles of street can be cleaned?
Mathematics
1 answer:
Vanyuwa [196]2 years ago
4 0
We know that
In a period of 4 hours (3 hours of work and 1 hour to refuel)
each street sweepers clean------> 3 miles*3 =9 miles

divide 18 hours by 4
18/4=4.5
4.5 is equal to 4 periods of 4 hours plus 2 hours

Multiply 4 by 9 miles
4*9=36 miles

in the period of 2 hours (<span>in this period there is no refuel)
</span>3*2=6 miles

each street sweepers clean in 18 hours-----> (36+6)-----> 42 miles
two street sweepers clean in 18 hours=2*42------> 84 miles

the answer is
84 miles
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27
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Then divide 810 by 30
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The Ignorance Survey: United Kingdom A survey was conducted in the United Kingdom, where respondents were asked if they had a un
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Answer:

Here we have given two catogaries as degree holder and non degree holder.

So here we have to test the hypothesis that,

H0 : p1 = p2 Vs H1 : p1 not= p2

where p1 is population proportion of degree holder.

p2 is population proportion of non degree holder.

Assume alpha = level of significance = 5% = 0.05

The test is two tailed.

Here test statistic follows standard normal distribution.

The test statistic is,

Z = (p1^ - p2^) / SE

where SE = sqrt[(p^*q^)/n1 + (p^*q^)/n2]

p1^ = x1/n1

p2^ = x2/n2

p^ = (x1+x2) / (n1+n2)

This we can done in TI_83 calculator.

steps :

STAT --> TESTS --> 6:2-PropZTest --> ENTER --> Input all the values --> select alternative "not= P2" --> ENTER --> Calculate --> ENTER

Test statistic Z = 1.60

P-value = 0.1090

P-value > alpha

Fail to reject H0 or accept H0 at 5% level of significance.

Conclusion : There is not sufficient evidence to say that  the percent of correct answers is significantly different between degree holders and non-degree holders.

7 0
2 years ago
Of the28 golf balls 5/7 are white how many are white
Goshia [24]

Answer:

20 balls are white

Step-by-step explanation:

5/7* 28

7 0
2 years ago
The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.
Musya8 [376]

Answer:

A cone with base radius of 17 in

Step-by-step explanation:

Given

Triangle ABC

Where

AB = BC = 24in

D = Midpoint of AC

Required

Which best describes the resulting three-dimensional figure?

First, the length of the third side of the triangle has to be calculated

The sides of triangle ABC are AB, AC and BC

Given that the perimeter = 82 in

AB + AC + BC = 82

Recall that AB = BC = 24in; The equation becomes

24 + AC + 24 = 82

Collect like terms

AC = 82 - 24 - 24\\AC = 34

Given that, the triangle is rotated at D, the midpoint of AC

The length of the midpoint has to be calculated

D = \frac{1}{2}AC

D = \frac{1}{2} * 34

D = \frac{34}{2}

D = 17

At this point, we can dismiss options C and D.

This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.

So, we have option A and B to select from.

When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.

This implies that, a cone with base radius D is generated.

Recall that D = 17.

Hence, <em>A cone with base radius of 17 in</em>

7 0
2 years ago
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tankabanditka [31]

Answer:

9

Step-by-step explanation:

<em>Degrees of freedom</em> is the number of values in the final calculation of a statistic that are free to vary. Degrees of freedom are related to sample size and calculated by n-1 where n is the <em>sample size</em>.

The Supervisor selects 10 teddy bears as sample from 5000 teddy bears produced daily.  Therefore in this situation, there are 10-1=9 degrees of freedom

3 0
2 years ago
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