The equation of the car rental company in the form y = kx is; y = 18.50x
The equation y = kx is such that;
- k = constant of proportionality.
In essence; to determine the constant of proportionality, k in this case;
Since the company charges, $55.50 for 3 days; we have;
By evaluation k = $55.50/3
A constant rate of change means the variation in the dependent variable as dependent on the independent variable is constant
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Answer:
x=4
Step-by-step explanation:
4x+24=8x+2x
4x+24=10x
-4x -4x
24=6x
/6 /6
x=4
Answer:
Population Mean = 2.0
Population Standard deviation = 0.03
Step-by-step explanation:
We are given that the inspector selects simple random samples of 30 finished products and computes the sample mean product weight.
Also, test results over a long period of time show that 5% of the values are over 2.1 pounds and 5% are under 1.9 pounds.
Now, mean of the population is given the average of two extreme boundaries because mean lies exactly in the middle of the distribution.
So, Mean,
=
= 2.0
Therefore, mean for the population of products produced with this process is 2.
Since, we are given that 5% of the values are under 1.9 pounds so we will calculate the z score value corresponding to a probability of 5% i.e.
z = -1.6449 {from z % table}
We know that z formula is given by ;
~ N(0,1)
-1.6449 =
⇒
⇒
0.0608 *
{as sample size is given 30}
⇒
= 0.03 .
Therefore, Standard deviation for the population of products produced with this process is 0.0333.
In this case, you need to find the percentage each student got, then find who received a higher score.
First Step:

(and)

Second step: Divide each fraction → ≈ 0.8947 (and) ≈ 0.8421
Third Step: Multiply each decimal by 100. → 89.47% (and) 84.21%
Fourth Step: As 89.47% is greater, Author got an higher score.
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