Answer:
f(9)=-22-9(9)+20=-83
Step-by-step explanation:
f(9) means x = 9, Just substitute 9 into the function.
-9(9) = -81
-22-81+20 = -83
-2(y-3)=22
-2y+6=22
-2y=16
y=-8
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:
-4
Step-by-step explanation:
First, multiply
-12*2+8*2/-5-(-7)
= -8/-5-(-7)
Second do -5-(-7)
= -8/2
= -4
Wayne Gretzky scored 50% more points than anyone else who ever played professional Hockey during his 20 seasons in the National Hockey League. He accomplished this amazing feat while playing in 280 fewer games than Gordy Howe, who is the previous record holder. The number of games he played during each season:
79,80,80,80,74 ,80,80,79,64,78,73,78,74,45,81,48,80,82,82,70.
a) The stem and leaf plot for the data can be comfortably obtained from the excel option as follows: XL STAT option in excel as follows:
1. In excel sheet choose XL STAT
2. Then in that choose the visualizing data- uni-variate plots.
3. In univariate plot – chart -select the stem and leaf plot.
4. In quantitative data select the data set and click ok.
A summary of the statistics and a stem and leaf plot can be obtained as follows.