Answer:
43/70
Step-by-step explanation:
Total number of times spun = 14 + 12 + 16 + 15 + 13 = 70
Total number of times spun that yielded a odd number (1,3,5) = 14 + 16 + 13 = 43
The probability of spinning an odd number = total number of spins that yielded 1,3,5 ÷ total number of spins yielding all values from 1 to 5
= 43 / 70
Answer:
x+2
Step-by-step explanation:
Dividing the poly by the known factor:
x3+5x2+6x <u>| x2+3x</u>
-x3-3x2 x + 2 <- the answer is here
2x2+6x
-2x2-6x
To prove that, let's multiply the two factors and find the pylonomial back on:
(x2+3x).(x+2) = x3 + 2x2 + 3x2 + 6x = x3 + 5x2 + 6x
Tks your attention!
Answer: 8/33
Step-by-step explanation:
So the probability of picking a purple marble is 8/12, after that there are 11 marbles left in the box
Now the probability of picking a green marble without placing the first marble back is 4/11
So the probability of doing both is 8/12 x 4/11 = 8/33
Answer:
Hence the function which has the smallest minimum is: h(x)
Step-by-step explanation:
We are given function f(x) as:
- f(x) = −4 sin(x − 0.5) + 11
We know that the minimum value attained by the sine function is -1 and the maximum value attained by sine function is 1.
so the function f(x) receives the minimum value when sine function attains the maximum value since the term of sine function is subtracted.
Hence, the minimum value of f(x) is: 11-4=7 ( when sine function is equal to 1)
- Also we are given a table of values for function h(x) as:
x y
−2 14
−1 9
0 6
1 5
2 6
3 9
4 14
Hence, the minimum value attained by h(x) is 5. ( when x=1)
- Also we are given function g(x) ; a quadratic function passing through (2,7),(3,6) and (4,7)
so, the equation will be:
Hence on putting these coordinates we will get:
a=1,b=3 and c=7.
Hence the function g(x) is given as:

So,the minimum value attained by g(x) could be seen from the graph is at the point (3,6).
Hence, the minimum value attained by g(x) is 6.
Hence the function which has the smallest minimum is h(x)