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crimeas [40]
3 years ago
9

there are 1176 students in central high school. there are 50 more girls than boys. how many boys are there.

Mathematics
1 answer:
bagirrra123 [75]3 years ago
8 0
563 boys and 613 girls
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A cyclist travels 20 miles in the same amount of time it takes a hiker to walk 6 miles. The rate of the cyclist is 7 mph faster
Anna11 [10]

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The speed of the cyclist is 10 miles per hour .

Step-by-step explanation:

Given as :

The distance cover by cyclist = D_1= 20 miles

The distance cover by biker =  D_2 = 6 miles

The speed of biker = S_2 = s  mph

The speed of cyclist = S_1= 7 + s  mph

The time taken by both cyclist and biker =  t hour

Now. Distance = Speed × Time

So,  D_1 =   S_1 × t

Or, 20 = s × t

Or, t = \frac{20}{7+s}             .....1

And ,

D_2 =   S_2 × t

or, 6 = s t              

Or,  t = \frac{6}{s}  ....2

From Eq  1 and 2

I.e \frac{20}{7+s} = \frac{6}{s}

Or, 20 s = 6 ( 7 + s )

Or, 20 s - 6 s = 42

Or, 14 s = 42

∴   s = \frac{42}{14}

I,e s = 3 miles per hour

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3 years ago
a six sided number cube has faces with the numbers 1 through 6 marked on them. what is the probability that a number less than 2
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Solution:

we are given that

A six sided number cube has faces with the numbers 1 through 6 marked on them.

we have been asked to find the probability that a number less than 2 will occur on one toss of the number cube.

Since a number less than 2 is only one and that is "1" and total number of possible outcome is 6.

and as we know that probability is given using the formula

P(E)= \frac{n(E)}{n(S)}\\ \\

Substitute the values we get

P(E)= \frac{1}{6}

Hence the required probability is 1/6.

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