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1 answer:
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Answer:
4800m³
Step-by-step explanation:
V==
=4800
Answer:
Probability that the sample will have a mean that is greater than $52,000 is 0.0057.
Step-by-step explanation:
We are given that the population mean for income is $50,000, while the population standard deviation is 25,000.
We select a random sample of 1,000 people.
<em>Let </em><em> = sample mean</em>
The z-score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = population mean = $50,000
= population standard deviation = $25,000
n = sample of people = 1,000
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.
So, probability that the sample will have a mean that is greater than $52,000 is given by = P( > $52,000)
P( > $52,000) = P(
>
) = P(Z > 2.53) = 1 - P(Z
2.53)
= 1 - 0.9943 = 0.0057
<em>Now, in the z table the P(Z </em><em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2.53 in the z table which has an area of 0.9943.</em>
Therefore, probability that the sample will have a mean that is greater than $52,000 is 0.0057.
Answer:
Conclusion:
The rate of change of function 1 = 3
The rate of change of function 2 = 5/3
- Hence, function 1 has a greater rate of change
The initial Value of function 1 = y = 2
The initial Value of function 2 = y = 3
- Hence, function 2 has a greater initial value.
Step-by-step explanation:
Function 1)
Determining rate of change for function 1:
x 1 2 3 4
y 5 8 11 14
Finding the rate of change or slope using the formula
Rate of change = m = [y₂-y₁] / [x₂-x₁]
Taking any two points, let say (1, 5) and (2, 8)
Rate of change = m = [8-5] / [2-1]
= 3/1
= 3
Therefor, the rate of change of function 1 = m = 3
using point-slope form to determine the function equation
y-y₁ = m (x-x₁)
where m is the rate of change or slope
substititng m = 3 and the point (1, 5)
y - 5 = 3(x - 1)
y - 5 = 3x-3
y = 3x-3+5
y = 3x + 2
Thus, equation of function 1 will be:
y = 3x + 2
Determining Initial Value for Function 1:
substituting x = 0 in the equation to determine the initial value
y = 3(0)+2
y = 0+2
y = 2
Therefore, the initial Value of function 1 will be: y = 2
Function 2)
Determining the rate of change for function 2:
Given the function 2
comparing with the slope-intercept form of a linear function
y = mx+b where m is the rate of change
so the rate of change of function 2 = m = 5/3
Determining Initial Value for Function 2:
substituting x = 0 in the equation to determine the initial value
Therefore, the initial Value of function 2 will be: y = 3
Conclusion:
The rate of change of function 1 = 3
The rate of change of function 2 = 5/3
- Hence, function 1 has a greater rate of change
The initial Value of function 1 = y = 2
The initial Value of function 2 = y = 3
- Hence, function 2 has a greater initial value.