A traffic engineer is counting the number of vehicles by type that turn into a residential area. The table below shows the resul
1 answer:
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Density can be defined as:
Where:
m is mass
V stands for volume
To isolate the mass, we derive:
Volume can be expressed as:
We then use the following conversion:
After applying the conversion, we arrive at:
Additionally, we have these conversions:
When we apply these conversions for density, we conclude:
Finally, the mass of the water required is:
Answer:
A total of 1190 kilograms of water is needed to fill the waterbed.
Answer:
1. 3.767
2. 0.145
Step-by-step explanation:
Define X as the exam scores and Y as the number of drinks.
X Y X-Xbar Y-Ybar (X-Xbar)(Y-Ybar) (X-Xbar)² (Y-Ybar)²
75 5 -2.3 2.3 -5.29 5.29 5.29
92 3 14.7 0.3 4.41 216.09 0.09
84 2 6.7 -0.7 -4.69 44.89 0.49
64 4 -13.3 1.3 -17.29 176.89 1.69
64 2 -13.3 -0.7 9.31 176.89 0.49
86 7 8.7 4.3 37.41 75.69 18.49
81 3 3.7 0.3 1.11 13.69 0.09
61 0 -16.3 -2.7 44.01 265.69 7.29
73 1 -4.3 -1.7 7.31 18.49 2.89
93 0 15.7 -2.7 -42.39 246.49 7.29
sumx=773, sumy=27, sum(x-xbar)(y-ybar)= 33.9, sum(X-Xbar)²= 1240.1,sum(Y-Ybar)²= 44.1
Xbar=sumx/n=773/10=77.3
Ybar=sumy/n=27/10=2.7
1.
Cov(x,y)=33.9/9
Cov(x,y)=3.76667
Thus, the sample covariance of exam scores and energy drink consumption is 3.767
2.
Cor(x,y)=r=33.9/233.85553
Cor(x,y)=r=0.14496
The sample correlation coefficient for the relationship between exam scores and energy drink consumption is 0.145.
Answer:
Step-by-step explanation:
The probability that a mosquito lands on your neck per second is 0.5
The chance of it biting once it lands is 0.2
The likelihood that it does not bite after landing is 0.8
Therefore, the probability of a bite in one second is
This translates to a 1/100 likelihood of being bitten in just one second
Over the course of 100 seconds, the expected number of bites is
The anticipated interval between bites is 100
Answer:
Explanation step-by-step:
Let
x represent Hermione's salary prior to the raise
Given:
Therefore, the equation that expresses this relationship is
To find x, divide both sides by 1.05: