Answer: 3
<h2 />
Step-by-step explanation: because of the decimal you have to place a zero regardless and the other 2 zeros you can’t do anything with them. Hope this helps!
Answer: 0.5
Step-by-step explanation:
Formula for binomial probability :-
, where P(x) is the probability of getting success in x trials , n is the total number of trials and p is the probability of getting success in each trial.
Given : The number of trails : n=7
The probability of success for each trial : p=0.5
Now, the probability that the number x of correct answers is fewer than 4 will be :-
![P(x](https://tex.z-dn.net/?f=P%28x%3C4%29%3DP%280%29%2BP%281%29%2BP%282%29%2BP%283%29%5C%5C%5C%5C%3D%5E7C_0%280.5%29%5E0%280.5%29%5E%7B7%7D%2B%5E7C_1%280.5%29%5E1%280.5%29%5E%7B6%7D%2B%5E7C_2%280.5%29%5E2%280.5%29%5E%7B5%7D%2B%5E7C_3%280.5%29%5E3%280.5%29%5E%7B4%7D%5C%5C%5C%5C%3D%280.5%29%5E7%2B7%280.5%29%5E7%2B21%280.5%29%5E7%2B35%280.5%29%5E7%5C%5C%5C%5C%3D%280.5%29%5E7%2864%29%3D0.5)
Hence, the probability that the number x of correct answers is fewer than 4 = 0.5
That is a 45 45 90 triangle.
The legs of such a triangle equal the hypotenuse divided by the sq root of 2
So each leg equals 125.5 cm divided by
<span>
<span>
<span>
1.4142135624
</span>
</span>
</span>
which equals
<span>
<span>
<span>
88.7419010389
</span>
</span>
</span>
or to the nearest 100th of a centimeter:
88.74
Answer:
19,683 and 1/243
Step-by-step explanation:
Answer:
![\frac{2(x-6)(x-10)}{(x-4)(x-5)}](https://tex.z-dn.net/?f=%5Cfrac%7B2%28x-6%29%28x-10%29%7D%7B%28x-4%29%28x-5%29%7D)
Step-by-step explanation:
In essence, one needs to work their way backwards to solve this problem. Use the information to construct the function.
The function has verticle asymptotes at (x = 4) and (x = 5). This means that the denominator must have (x - 4) and (x - 5) in it. This is because a verticle asymptote indicates that the function cannot have a value at these points, the function jumps at these points. This is because the denominator of a fraction cannot be (0), the values (x - 4) and (x - 5) ensure this. Since if (x) equals (4) or (5) in this situation, the denominator would be (0) because of the zero product property (this states that any number times zero equals zero). So far we have assembled the function as the following:
![\frac{()}{(x-4)(x-5)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28%29%7D%7B%28x-4%29%28x-5%29%7D)
The function has x-intercepts at (6, 0), and (0, 10). This means that the numerator must equal (0) when (x) is (6) or (10). Using similar logic that was applied to find the denominator, one can conclude that the numerator must be (
). Now one has this much of the function assembled
![\frac{(x-6)(x-10)}{(x-4)(x-5)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-6%29%28x-10%29%7D%7B%28x-4%29%28x-5%29%7D)
Finally one has to include the y-intercept of (0, 120). Currently, the y-intercept is (60). This is found by multiplying the constants together. (6 * 10) equals (60). One has to multiply this by (2) to get (120). Therefore, one must multiply the numerator by (2) in order to make the y-intercept (120). Thus the final function is the following:
![\frac{2(x-6)(x-10)}{(x-4)(x-5)}](https://tex.z-dn.net/?f=%5Cfrac%7B2%28x-6%29%28x-10%29%7D%7B%28x-4%29%28x-5%29%7D)