Answer:
b) 6.68%
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The mean score on the scale is 50. The distribution has a standard deviation of 10.
This means that 
Matthew scores a 65. What percentage of people could be expected to score the same as Matthew or higher on this scale?
The proportion is 1 subtracted by the p-value of Z when X = 65. So
has a p-value of 0.9332.
1 - 0.9332 = 0.0668
0.0668*100% = 6.68%
So the correct answer is given by option b.
Answer:
6 chapters/hour
Step-by-step explanation:
42/7=6
Even though we don't know the number yet, we need to give it some kind of label
so that we can work with it. We can call it anything. I'd like to call it ' G '.
The number we're looking for is ' G '.
Half of it is 1/2 G
The sum of that and 6 is 1/2 G + 6
Ten times that is 10 (1/2 G + 6)
The question says that's 8.
So 10 (1/2 G + 6) = 8
Divide each side by 10 : 1/2 G + 6 = 0.8
Subtract 6 from each side: 1/2 G = - 5.2
Multiply each side by 2 : G = - 10.4
That seems like a weird answer. We should check it.
The number: -10.4
Half the number: - 5.2
The sum of half the number and 6: -5.2 + 6 = +0.8
Ten times that sum: 8
Yep ! By golly, sho nuff, dV-dT and E to the X !
Everything checks out, and the mystery number is - 10.4
30
dividing the length and width by 2
10 ÷ 2 = 5 and 12 ÷ 2 = 6
he can plant 5 × 6 = 30 pumpkin plants
