Answer:
They are equal
Step-by-step explanation:
Given
![\frac{3}{27}\ and\ \frac{1}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B27%7D%5C%20and%5C%20%5Cfrac%7B1%7D%7B9%7D)
Required
Determine if they are equal
We start by equating both:
![\frac{3}{27} = \frac{1}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B27%7D%20%3D%20%5Cfrac%7B1%7D%7B9%7D)
Cross Multiply
![3 * 9 = 1 * 27](https://tex.z-dn.net/?f=3%20%2A%209%20%3D%201%20%2A%2027)
![27 = 27](https://tex.z-dn.net/?f=27%20%3D%2027)
<em>Because both sides of the equation are equal, then the ratios are equal</em>
Answer:
91
Step-by-step explanation:
Distribute the 7 (7*4+7*9) then add which is 91
Answer:
0.999999988
Step-by-step explanation:
Given that you have a bag with 6 marbles. One marble is white. You reach the bag 100 times. After taking out a marble, it is placed back in the bag.
Because every time you replace the marble drawn, the probability for drawing a white marble in one draw is constant = p =5/6
No of trials n = 100
Here X no of times white marble is drawn is Binomial since there are two outcomes and also the probability is constant.
the probability of drawing a white marble at least once
=![P(X\geq 1)\\=1-P(x=0)\\=1-(\frac{5}{6} )^{100} \\=0.999999988](https://tex.z-dn.net/?f=P%28X%5Cgeq%201%29%5C%5C%3D1-P%28x%3D0%29%5C%5C%3D1-%28%5Cfrac%7B5%7D%7B6%7D%20%29%5E%7B100%7D%20%5C%5C%3D0.999999988)
Required probability is almost 1.
Answer:
300
Step-by-step explanation:
Multiply the length which is 30 cm by 10 to give you the length in mm.