Answer:
- determinant: -15
- x = 3; y = 4; z = 1
Step-by-step explanation:
The matrix of coefficients has one row corresponding to each equation. The constants in that row are the coefficients of the variables in the equation. Coefficients are listed in the same order on each row. A missing term is represented by a coefficient of 0.
<h3>coefficient matrix, determinant</h3>
The first attachment shows the coefficient matrix and its determinant.
__
<h3>solution</h3>
The solution to the system of equations can be found by left-multiplying the constant vector by the inverse of the coefficient matrix.
This multiplication is shown in the second attachment. It tells us ...
15 ft = 15*12 = 180 inches
180/4 = 45
so the scale is 1/45
Answer:
a. mean = 1000
standard deviation = 4358.9
b. expected value of average damage bar Y = 1000
probability bar y exceeds 2000 = 0.011
Step-by-step explanation:
we have p1 = 95%, y1 = 0, p2 = 5%, y2 = 20000
Mean = (0.95 * 0) + (0.05 * 20000)
= 1000
var(y) = E(y²) - E(Y)²
= we solve for E(y)²
= 0²*0.95 + 20000²*0.05
= 0 + 20000000
then the variance of y = 20000000 - 1000²
=20000000-1000000
= $19000000
standard deviation is the square root of variance
= √19000000
= 4358.9
2.
a. Expected value of average is also the mean = 1000
b. we are to find probability that barY exceeds 2000
= 1000/435.889
= 2.29
1-p(z≤2.29)
= 1 - 0.989
= 0.011
so the probability that barY exceeds 2000 is 0.011
Answer:
The sample size is
Step-by-step explanation:
The population proportion is
The margin of error is
From the question we are told the confidence level is 90% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the sample size is mathematically represented as
=>
=>
Answer:
ADCadc
Step-by-step explanation: