The probability of drawing a black marble is 7/31 or .226 or 22.581%. To find the probability of these type of questions, add all together to get 31, then since there are 7 black marbles the probability would be 7/31.
<u>Step-by-step explanation:</u>
(a) A natural number that is greater than 25 and less than 40
Natural Number : These are numbers starting from 1 or also sometimes from zero and are all positive ! A natural greater than 25 & less than 40 is 30 .
(b) An integer which is less than -5 and a multiple of 2
Integer : An integer is a whole number not a fraction including 0 . It can be positive or negative ! Integer less than -5 and a multiple of 2 is -6.
(c) A rational number between 1 and 2
Rational Number : A number which can be expressed in form of p/q where q is not equal to 0 . A rational number between 1 & 2 is 3/2 .
(d) An irrational number between 8 and 9.
Irrational Number: A real number which is not rational or can't be written in form of p/q . An irrational number between 8 & 9 is
.
Answer:
Shifted 5 unit right side then stretched vertically by the factor 100
Step-by-step explanation:
Here, parent function,
Transformed function,
![f(x) = \frac{100}{x-5}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B100%7D%7Bx-5%7D)
Since, if a function f(x) gives cf(x), where c is any number,
Then the function was vertically stretched by factor c,
While, the function gives f(x-c),
Then the function was shifted c unit right.
Hence, the graph of
was shifted 5 unit right side then stretched vertically by the factor 100 to create the graph of ![f(x)=\frac{100}{x-5}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B100%7D%7Bx-5%7D)
Answer:
a, x, y
Step-by-step explanation:
Answer:
Step-by-step explanation:
find the composition of g(x)=x−1 and h(x)=![\sqrt{x}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D)
hence we will get,
(g∘h)(x)=g(h(x))= g(x−1)= f(√x)= -1+√x = √x -1
Now to find f(g(h(x))),
f(x)=x4+6 and g(h(x))=√x -1
hence , putt g(h(x)) in f(x) ,
f(g(h(x)))=
+6 -
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