v31) The weights of a certain variety of cucumbers are normally distributed with a standard deviation of 2 ounces. Given that 15% of these cucumbers weigh more than 16 ounces, what is the mean weight

13.928 ounces

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 16 ounces

μ is the population mean = ??

σ is the population standard deviation = 2 ounces

Given that 15% of these cucumbers weigh more than 16 ounces,

= 100 - 15 = 85

We find the z score for a 85th percentile using the percentile table = 1.036

Hence

1.036 = 16 - x/2

Cross Multiply

1.036 × 2 = 16 - x

2.072 = 16 - x

2.072 - 16 = -x

-13.928 = -x

x = 13.928 ounces

Therefore, the mean weight is 13.928 ounces

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation:

.95

step-by-step explanation: