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Darya [45]
3 years ago
7

In a class of 25 students, 15 of them have a cat,

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0

Answer: 9/25

Step-by-step explanation:

Since 3 of them have neither a cat or a dog, that means 22 (25-3) of them have a dog, a cat, or both.

16 + 15 = 31, which is 9 more than 22. That means 9 of them have both a dog and a cat.

Out of the 25 people, 9 have both a cat and dog, which means the probablity a student chosen at random has both is 9/25.

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If cos45⁰=0.707 find cos(-45⁰)​
maksim [4K]

Answer:

0.707

Step-by-step explanation:

cos in the 4th quadrant is positive as well as in 1st quadrant.

cos(-45°) is in the 4th quadrant.

So cos40° must equal cos(-45°) which is 0.707.

6 0
3 years ago
Consider the function f(x) = 3x-1/x+4.
andrew-mc [135]

Ans(a):


Given function is f(x)=\frac{3x-1}{x+4}


we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0


so let's solve


x+4≠0 for x


x≠0-4


x≠-4


Hence at x=4, function can't have solution.


Ans(b):


We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)


so we get:


g(x)=f(x)+4


g(x)=\frac{3x-1}{x+4}+4


We may simplify this equation but that is not compulsory.


Comparision:  


Graph of g(x) will be just 4 unit upward than graph of f(x).


Ans(c):


To find value of x when g(x)=8, just plug g(x)=8 in previous equation


8=\frac{3x-1}{x+4}+4


8-4=\frac{3x-1}{x+4}


4=\frac{3x-1}{x+4}


4(x+4)=(3x-1)


4x+16=3x-1


4x-3x=-1-16


x=-17


Hence final answer is x=-17


6 0
3 years ago
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Musya8 [376]
The answer is m=a+d-n
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4 years ago
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Liono4ka [1.6K]
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Find the value of X x-5=7
ivolga24 [154]

Answer:

x = 12

Step-by-step explanation:

12 - 5 = 7

4 0
3 years ago
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