Answer:
There is a 1.1% chance that a randomly chosen junior will have a score above 95.
Step-by-step explanation:
Calculate the z-score of 95 given a normal distribution with mean 79 and standard deviation of 7. The z-score is a probability (area under the distribution curve) of a value on a normalized random variable that has a distribution with mean 0 and standard deviation of 1. To get such a transformation, you need to subtract the mean and divide by the standard deviation, like this:

Based on this z-value, use z-score tables to look up the area under the curve. This will be the probability that randomly chosen values are lower (or higher, depending which table you are using) than this z-score. Be careful to apply the correct table. I found the following probability that a random z value is higher that the z-score 2.29: 0.011, or 1.1%. This means that there is a 1.1% chance that a randomly chosen junior will have a score above 95.
Answer:
1:5
Step-by-step explanation:
Their is 2 red pens, because 20(pens) - 8(blue pens) = 12(pens [blue excluded]) and there are 10 black pens (12 - 10 = 2)
So we can get an un-simplified ratio of 2:10, however in the list of answers you gave us:
Their is no 2:10, so now we need to simplify our ratio by dividing both 2 and 10 by 2, 2 divided by 2 = 1 and 10 divided by 2 = 5. As we can now see this gives us the ratio of 1:5 which is our second answer choice, and therefore since 1:5 is equal to 2:10 our answer is 1:5
Regular price : $44
Discount : 25%
So, discount amount : 25% of 44
= 25/100 × 44
= $11
So, amount after applying discount = $44 - $11 = $33
Use desmos hope that helps