Answer:
95.44% of the grasshoppers weigh between 86 grams and 94 grams.
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.
Mean of 90 grams and a standard deviation of 2 grams.
This means that 
What percentage of the grasshoppers weigh between 86 grams and 94 grams?
The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So
X = 94
has a p-value of 0.9772.
X = 86
has a p-value of 0.0228.
0.9772 - 0.0228 = 0.9544
0.9544*100% = 95.44%
95.44% of the grasshoppers weigh between 86 grams and 94 grams.
Answer:
A) None
Step-by-step explanation:
1) 
shoudnt neccesarily be a factor of nst, for example, if s = 3, t = 4, and n = 12, then both s and t are factors of n, but 
is not a factor of nst = 144.
2) 
shoudnt neccesarily be a factor of nst. Let s be 4, let t be 6, and let n be 12. Then n is a factor of both s and t, but 
is not a factor of nst = 12*24. In fact, it is a greater number.
3) Again, s+t isnt necessarily a factor of nst, let s be 2 and t be 3. Then both s and t are factor of n = 12. However 5 = s+t is not a factor of nst = 72.
So, neither of the three options is guaranteed to be a factor of nst. In fact, for s = 4, t = 6, and n = 12, none of the three options are valid.
M < = 2d + 4
m = 70
70 < = 2d + 4
70 - 4 < = 2d
66 < = 2d
66/2 < = d
33 < = d...or d > = 33
so the daughter is at least 33 inches
Answer:
y= 
= 0.75
Step-by-step explanation:
To subtract the second equation from the first equation, you have to divide the equation as left of the equal sign and right of equal sign then do the calculation separately. The calculation will look like this
-3x +2y = 7
-3x - 2y = 4
_____________ -
(-3x +2y) - (3x -2y) = 7 - 4
-3x + 2y + 3x + 2y = 3
4y= 3
y= = 0.75
Using the definitions of the mean and of the standard deviation of a data-set, we have that:
- The standard deviation would remain constant.
<h3>What are the mean and the standard deviation of a data-set?</h3>
- The mean of a data-set is given by the <u>sum of all values in the data-set, divided by the number of values</u>.
- The standard deviation of a data-set is given by the <u>square root of the sum of the differences squared between each observation and the mean, divided by the number of values</u>.
When the measure of 84 is added to the data-set, we have that:
- A measure greater than the mean is added, hence the mean would increase.
- The difference squared between 84 and the mean of 81 is of 9, which is the same as the standard deviation, which would remain constant.
More can be learned about the mean and the standard deviation of a data-set at brainly.com/question/26941429
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