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telo118 [61]
3 years ago
10

A railway engine starts shunting wagons by first going 1000m north of railway station. It reverses and travels 1250m and then it

again moves 600m north. Finally moving 800m south it comes to rest. How far is the engine from the station and in which direction?
Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer:

450m South

Step-by-step explanation:

Total distance traveled Northward :

1000m + 600m = 1600m Northward

Total distance traveled Southward :

1250m + 800m = 2050m

The Displacement :

Southward - Northward

2050m - 1650m

= 450m

Since, it covers more distance towards the south, then, direction is southward

450m South

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Suppose X and Y are non-empty sets. Which set contains more elements: X U Y or X ∩ Y? Explain.
katrin [286]

Answer:

The union of two sets is guaranteed to result in an equal or larger set than if they were intersected.

This only makes sense because intersecting sets is exceptional, only values that already exist in both sets are in the result.  Whereas a union of two sets gives you all of the content of both.

The only time when an intersection is even equal to a union is when the two sets are identical.  If they aren't then the intersection will be smaller.

4 0
3 years ago
Solve:<br><br> A.152<br> B.176<br> C.5<br> D.27
stich3 [128]

Answer:

Option B

176

Step-by-step explanation:

take 11 to the next side of the equation making the division multiplication getting us 16×11=176

3 0
3 years ago
)The figure below shows parallel lines cut by a transversal:
Ne4ueva [31]

<u>Answer-</u>

1 and 2 are congruent because they are a pair of corresponding angles

<u>Solution-</u>

When two lines are crossed by another line (called the transversal), the angles in matching corners are called Corresponding Angles.

<em>The parallel case</em> -

If the transversal cuts across parallel lines, then corresponding angles have the same measure.

<em>The non-parallel case -</em>

If the transversal cuts across lines that are not parallel, the corresponding angles have no particular relationship to each other.

In the given diagram, 1 and 2 are a pair of corresponding angles. And as the two lines are parallel, so 1 and 2 are congruent.


5 0
4 years ago
Read 2 more answers
Find the slope of line
Volgvan

Answer:

y=2/4x-3

Step-by-step explanation:

3 0
4 years ago
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Bags of pretzels are sampled to ensure proper weight. The overall average for the samples is 9 ounces. Each sample contains 25 b
77julia77 [94]

Answer:

The value is UCL  =  10.8  

Step-by-step explanation:

From the question we are told that

    The sample mean is  \= x  =  9 \  ounce

    The sample size is  n =  25

    The standard deviation is  \sigma =  3 \ ounce

Given that the sample size is not large enough i.e  n<  30  we will make use of the student t distribution table  

From the question we are told the confidence level is  99.7% , hence the level of significance is    

      \alpha = (100 -99.7 ) \%

=>   \alpha = 0.003

Generally the degree of freedom is  df =  n- 1

=>  df =  25 - 1

=>  df =  24  

Generally from the student t distribution table the critical value  of  \frac{\alpha }{2} at a degree of freedom of df =  24   is  

   t_{\frac{\alpha }{2} , 24 } = 3.0

Generally the margin of error is mathematically represented as  

      E = t_{\frac{\alpha }{2} , 24} *  \frac{\sigma }{\sqrt{n} }

=>     E = 3.0 *  \frac{3 }{\sqrt{25} }

=>     E =1.8

Gnerally the  upper control chart limit  for 99.7% confidence is mathematically represented as

         UCL  =  \= x  + E

=>      UCL  =  9 + 1.8  

=>      UCL  =  10.8  

     

4 0
3 years ago
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