Answer:
The correct option is C.
Step-by-step explanation:
Consider the provided information.
Four conditions of a binomial experiment:
There should be fixed number of trials
Each trial is independent with respect to the others
The maximum possible outcomes are two
The probability of each outcome remains constant.
Now, observe the provided options:
Option A and B are not possible as they doesn't satisfy the conditions of binomial experiment which is there must be fixed number of trials.
Now observe the option C which state that there must be fixed number of trials, it satisfy the condition of a binomial experiment.
Therefore, the correct option is C.
Assuming the order does not matter, you want the number of combinations of 9 things taken 5 at a time. The combinations can be shown as C(9,5), 9C5.
C(9, 5) =
9/5(9-5) =
9*8*7*6*5 / 5*4
The 5 terms cancel.
9*8*7*6 / 4*3*2 =
9*7*2 =
126
The above change is because 4*2 cancels the 8 in the numerator and 6/3 = 2
Therefore, the solution is 126.
First, we get ax^2+bx+c. Next, we know that the line of symmetry is -b/2a. Since we know that there is a maximum value, the parabola is facing downwards, so a is negative. For random numbers, we can say that a = -0.5 and b=-10 (b needs to be negative for -b/2a to equal -10), getting -0.5x^2-10x+c. Plugging -10 in for x (since -10 is the middle it is the max), we get -50+100=50. Since the maximum needs to be 5, not 50, we subtract 45 from the answer to get it and therefore make c = -45, getting -0.5x^2-10x-45
Answer:
209.005 gms
Step-by-step explanation:
Given that the weights of packets of cookies produced by a certain manufacturer have a Normal distribution with a mean of 202 grams and a standard deviation of 3 grams.
Let X be the weight of packets of cookies produced by manufacturer
X is N(202, 3) gms.
To find the weight that should be stamped on the packet so that only 1% of the packets are underweight
i.e. P(X<c) <0.01
From std normal table we find that z value = 2.335
Corresponding x value = 202+3(2.335)
=209.005 gms.
There are many ways you can write a ratio. They're all basically the same thing, though. 5:9, 5 to 9, and 5/9 (which is a fraction) are all just different ways to write ratios.