<h3>
Answer: 65</h3>
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According to the empirical rule, roughly 68% of the normal distribution is within 1 standard deviation of the mean.
In this case, that tells us 68% of the population is between x = 65 and x = 79. The center is at mu = 72, which is the highest point. On either side of this center is where the curve goes downward as you move away from the center. Note the symmetry as well. Each tickmark represents 1 standard deviation unit.
Because 68% of the class got scores between x = 65 and x = 79, this means 100% - 68% = 32% of the class got a score x such that x < 65, or x > 79
Cut this in half and get (32%)/2 = 16%
16% of the population is in either tail.
16% of the population is the set of x values such that x < 65; we can say that 16% of the population is more than 1 standard deviation from the mean, and also smaller than the mean.
The 16th percentile is the marker where 16% of the population is below that value.
Therefore, the 16th percentile is the value <u> 65 </u>
16% of the class scored less than 65 on the test.
Answer:
Step-by-step explanation:
Similar figures have the same shape but the same size.
Moving from left to right:
The first figure is similar because the ratio is 6:14 which is the same as the figure 3:7.
The second figure is not similar because of shape
The third figure is is not similar because the ratio is 6:12 which is not the same as the figure 3:7
The fourth figure is similar because it is rotated
The fifth figure is not similar because of shape
The sixth figure is not similar because of the ratio of 2:3.5 which is not the same as the figure's ratio of 3:7
It's probably:
3.4x3.8x3.4x10^-9x10^5x3.4x10^5x10^-9
Hope this helps :)
Answer:
The chances it will rain two days in a row is 12%
Step-by-step explanation:
The forecast calls for a 30% chance of snow today
So, chance of snowfall today = 30% = 0.3
A 40% chance of snow tomorrow.
So, chance of snowfall tomorrow= 40% = 0.4
The chances it will rain two days in a row = ![0.4 \times 0.3](https://tex.z-dn.net/?f=0.4%20%20%5Ctimes%200.3)
=
So, percent it will rain two days in a row = ![0.12 \times 100 = 12\%](https://tex.z-dn.net/?f=0.12%20%5Ctimes%20100%20%3D%2012%5C%25)
Hence the chances it will rain two days in a row is 12%