Answer:
9: 14
Step-by-step explanation:
Both terms are divisible by 4.
To solve this problem, you must find a common denominator. First, you multiply the denominators together, then, multiply the numerator of the first fraction by the original denominator of the second fraction and vis-versa.
3*4 = denominator of both
2*4 = numerator of first fraction
3*3 = numerator of second fraction
Your fractions should end up being 8/12 cups of raisins and 9/12 cup of almonds. You can now compare these fractions.
Overall, there are 1/12 more almonds than raisins.
The longest side is 5/(5+3+4) = 5/12 of the perimeter, hence
(5/12)*156 cm = 65 cm . . . . . the length of the longest side
Answer:
○ 
Step-by-step explanation:
![\displaystyle 4 = 2\sqrt{25} - 6 \\ 4 = 2[5] - 6 \\ \\ 4 = 10 - 6](https://tex.z-dn.net/?f=%5Cdisplaystyle%204%20%3D%202%5Csqrt%7B25%7D%20-%206%20%5C%5C%204%20%3D%202%5B5%5D%20-%206%20%5C%5C%20%5C%5C%204%20%3D%2010%20-%206)
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Answer: 0.0228
Step-by-step explanation:
Given : The mean and the standard deviation of finish times (in minutes) for this event are respectively as :-

If the distribution of finish times is approximately bell-shaped and symmetric, then it must be normally distributed.
Let X be the random variable that represents the finish times for this event.
z score : 

Now, the probability of runners who finish in under 19 minutes by using standard normal distribution table :-

Hence, the approximate proportion of runners who finish in under 19 minutes = 0.0228