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Stolb23 [73]
3 years ago
15

A bus covers a distance of 90km at a uniform speed. Had the speed been 15km/hour it would have taken 30 minutes less for the jou

rney. Find the original speed of the bus.
Mathematics
1 answer:
Brrunno [24]3 years ago
4 0

Answer:

Step-by-step explanation

Let's say d = distance, r = speed and t = time

We know the distance formula is :

distance = speed x time

d = r multiplied by t

d = rt

If the speed is 15km/hr, the time would be 30 minutes shorter.

Since d = rt,

90 = 15t

t = 6,

This means the time taken for the bus to complete the journey at 15km/hr would be 6hrs.

Originally though, the journey takes 30 minutes longer.

So we can say t = 6.5 hrs , and we know d = 90

Now we use the distance formula:

d = rt, since we want to find the original speed, we want to find r.

Speed = distance/time

r = d/t

r = 90/6.5

r = 180/13

Therefore the original speed is 180/13 km/hr

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A Chi square test has been conducted to assess the relationship between marital status and church attendance. The obtained Chi s
Margarita [4]

Answer:  a. reject the null hypothesis, church attendance and marital status are dependent

Step-by-step explanation:

  • If the obtained chi-square value is greater than the critical chi square value then we reject the null hypothesis.

Given : A Chi square test has been conducted to assess the relationship between marital status and church attendance. The obtained Chi square is 23.45 and the critical Chi square is 9.488.

Null hypothesis : There is no relationship between the variables.

Alternative hypothesis : There is a relationship between the variables.

Here we can see that the obtained chi-square (23.45) value is greater than the critical chi square value (9.488) , then we have to reject the null hypothesis.

So the correct answer is reject the null hypothesis, church attendance and marital status are dependent.

3 0
3 years ago
If c= the number of cars in a parking lot, which algebraic expression
DIA [1.3K]

Answer:

Option C) c+9 is correct

The sum of the number of cars and 9=c+9 is correct algebraic expression representation for given phrase

Step-by-step explanation:

Given that c=the number of cars in a parking lot.

The phrase given is "the sum of the number of cars and 9"

To find the algebraic expression which represents the given phrase :

The algebraic expression to the given phrase is c+9

That is option C) c+9 is correct

The sum of the number of cars and 9=c+9 is correct algebraic expression representation for given phrase

5 0
3 years ago
What is the exact value that is 39% of 1018?
Andrej [43]

397.02 this is the exact answer hope this helped you  


5 0
3 years ago
Why are tenths, fifths, and fourths easy to convert to percent's?
meriva
Because they all go into 100 easily. for example 10*10=100 5*20=100
5 0
3 years ago
Can you please show me how to do:
USPshnik [31]

Step-by-step explanation:

6\sqrt3\cdot\dfrac{\sqrt3}{3}=\dfrac{(6\sqrt3)(\sqrt3)}{3}\\\\\text{use the associative property}\ (a\times b)\times c=a\times(b\times c)\\\\=\dfrac{(6)(\sqrt3\cdot\sqrt3)}{3}\\\\\text{use}\ \sqrt{a}\cdot\sqrt{a}=a\\\\=\dfrac{(6)(\not3)}{\not3}\qquad\text{cancel 3}\\\\=6

3 0
3 years ago
Read 2 more answers
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